tag:blogger.com,1999:blog-9698214997282296602024-03-19T04:48:35.537-04:00Scaffolded Math and ScienceDifferentiated math teaching ideas, including math word walls, math escape rooms, math pennants, math cheat sheets, consumer math, and math classroom décor.ScaffoldedMathhttp://www.blogger.com/profile/12991099683629425350noreply@blogger.comBlogger275125tag:blogger.com,1999:blog-969821499728229660.post-33257076472398139312024-03-13T11:54:00.006-04:002024-03-15T16:05:19.308-04:00Finding Percent of a Number Cheat Sheet<p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEimqdQZe8IkZyV1J64jk4L5iRxXXjEL_Vk_XbJmMXR_JIpu-8v_jYT04UWQWsb2Z_dXxO2YfypEhgNEeFgGPYPJTDDD-vbDuYK57iy6X3iAuFbUJ4MlfwP1WRyvbynm9oXB0eanYZHgbImWkoebgbOV9HKU0tje8byjCwfDrrJjQVM_6_Fqxy5Gn43D4e0/s2048/finding%20percentage%20of%20a%20number.jpg" style="margin-left: 1em; margin-right: 1em;"><img alt="Finding Percent of a Number Cheat Sheet" border="0" data-original-height="1536" data-original-width="2048" height="363" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEimqdQZe8IkZyV1J64jk4L5iRxXXjEL_Vk_XbJmMXR_JIpu-8v_jYT04UWQWsb2Z_dXxO2YfypEhgNEeFgGPYPJTDDD-vbDuYK57iy6X3iAuFbUJ4MlfwP1WRyvbynm9oXB0eanYZHgbImWkoebgbOV9HKU0tje8byjCwfDrrJjQVM_6_Fqxy5Gn43D4e0/w484-h363/finding%20percentage%20of%20a%20number.jpg" title="Finding Percent of a Number Cheat Sheet" width="484" /></a></div><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;">Knowing how to calculate the percentage of a number is pretty much the basis of <a href="https://www.scaffoldedmath.com/2022/06/consumer-math-curriculum.html" target="_blank"><span style="color: #2b00fe;">consumer math</span></a>. This skill comes up when calculating interest, tips at restaurants, discounts from coupons, tax on purchased items and with budgeting. It's such a simple but important skill for students to learn and really become comfortable with before graduation.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">In this post, I want to share a finding percentage of a number handout for your students.</span></p><p></p><span style="font-family: verdana;"><div><span style="font-family: verdana;"><br /></span></div>I recently posted a cheat sheet on Facebook and got a comment about another cheat sheet I had shared some time ago in our <a href="https://www.facebook.com/groups/consumermath" target="_blank"><span style="color: #2b00fe;">consumer math Facebook group</span></a>. It's a sheet showing students how to find a percentage of a number by dividing by 2 to find 50%, dividing by 4 to find 25%, etc. I had completely forgotten to ever share the sheet here on my blog, so wanted to write this short post sharing it from my Google Drive.</span><p></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEie1xJMHhSB7XEIGV7XifwM6P8fOO2XJD9HecXStJtDAJpKIhHyk7dIk35Glhqj3uek16LZ1x9pbVJZlIAS_jTGuIZ3zi-wo2BmbrQ5ijTiZCHml16fGNQmRs-WXy8jujWJx2OsjiYVNh0pz64vONb-tMVQxftNzPINlfh_asddWnwC_JF6hdK4Ea69OsU/s913/finding%20percentage%20of%20a%20number%20sheet%20screenshot.JPG" style="margin-left: 1em; margin-right: 1em;"><img alt="Finding Percent of a Number Cheat Sheet" border="0" data-original-height="600" data-original-width="913" height="263" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEie1xJMHhSB7XEIGV7XifwM6P8fOO2XJD9HecXStJtDAJpKIhHyk7dIk35Glhqj3uek16LZ1x9pbVJZlIAS_jTGuIZ3zi-wo2BmbrQ5ijTiZCHml16fGNQmRs-WXy8jujWJx2OsjiYVNh0pz64vONb-tMVQxftNzPINlfh_asddWnwC_JF6hdK4Ea69OsU/w400-h263/finding%20percentage%20of%20a%20number%20sheet%20screenshot.JPG" title="Finding Percent of a Number Cheat Sheet" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;">After sharing the sheet in the Facebook group, I got feedback to add 1% to the sheet. So when you download it, how to find 1% will also be there.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><b>>></b> You can download the finding percentage of a number sheet <a href="https://drive.google.com/file/d/1nB84IgYGokW8u6-653igTF2stywvRpr9/view?usp=sharing" target="_blank"><span style="color: #2b00fe;"><b>here</b></span></a> from my Google Drive.</span></p><p><span style="font-family: verdana;"><br /></span></p><h3 style="text-align: center;"><span style="font-family: verdana;">Percent activities</span></h3><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/Percent-Sales-Tax-Tip-Discount-Digital-Math-Escape-Room-Activity-6034072" target="_blank"><img alt="tax, tip and discounts digital math escape room activity" border="0" data-original-height="816" data-original-width="1248" height="261" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhpawOvbAOs9IrIq-UWjggcqqi2A5h6A_4ZV536Hqd0Dto8wvJ5Oh6W4PT7MFWwyzFX2j38vuqJl0Y8-BaefVq6SuIqMwk7dr0BzJ6v3rzsSGv_fAwQQip_WTl8IvyJJvhPbDaeIwxZ7h1w5M8ULgIGOYUWpw1QfUO4-qz4sNEI208iX4acybqPkHD5hV0/w400-h261/percent%20tax%20tip%20discounts%20digital%20math%20escape%20room%20activity.png" title="tax, tip and discounts digital math escape room activity" width="400" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Percent-Sales-Tax-Tip-Discount-Digital-Math-Escape-Room-Activity-6034072" target="_blank">Percent Tax, Tip, Discount Digital Math Escape Room</a></td></tr></tbody></table><br /><div style="text-align: left;"><span style="font-family: verdana;">Students unlock 5 locks by finding percents in this </span><a href="https://www.teacherspayteachers.com/Product/Percent-Sales-Tax-Tip-Discount-Digital-Math-Escape-Room-Activity-6034072" style="font-family: verdana;" target="_blank"><span style="color: #2b00fe;">tax, tip and discounts digital math escape room</span></a><span style="font-family: verdana;"> activity. The activity comes digital in Google Forms and printable PDF.</span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: center;"><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/Converting-Fractions-Decimals-and-Percents-Digital-Math-Escape-Room-Activity-6132826" target="_blank"><img alt="converting fraction, decimal percent digital math escape room activity" border="0" data-original-height="816" data-original-width="1248" height="261" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjYoFRKVR5Ym35duTaR_4iGjLEsBzMYrkgteeXWH1OT8o8r74WPEw-4jd9dHbBriMgoWN5URDLwQjHJUM1BHqJwmU51_RZ3p7UONMmxgnQAdVfiIvkI4Da8X5cpdavu2DIAVyKQJaRDbhWmUen_bIuznemV6CSpqcW855fu29NUJw8e60fAoS_Q5w5t08c/w400-h261/fraction%20decimal%20percent%20digital%20math%20escape%20room%20activity.png" title="converting fraction, decimal percent digital math escape room activity" width="400" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Converting-Fractions-Decimals-and-Percents-Digital-Math-Escape-Room-Activity-6132826" target="_blank">Converting Fractions, Decimals, Percents Digital Math Escape Room</a></td></tr></tbody></table><br /><div style="text-align: left;"><span style="font-family: verdana;">This </span><a href="https://www.teacherspayteachers.com/Product/Converting-Fractions-Decimals-and-Percents-Digital-Math-Escape-Room-Activity-6132826" style="font-family: verdana;" target="_blank"><span style="color: #2b00fe;">converting fraction, decimal percent digital math escape room</span></a><span style="font-family: verdana;"> activity has students converting the different forms: fractions to decimals, decimals to percents, percents to decimals, decimals to fractions and fractions to percents.</span></div></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: center;"><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/Percent-of-Change-Task-Cards-Activity-print-and-digital-1909173" target="_blank"><img alt="percent change task cards activity" border="0" data-original-height="465" data-original-width="540" height="345" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEib_Tku70LxXUjkBFAKsf_khjHHx9VR-AsmUie4tc5W1zD7paBh6Ckp6jpdzlNG4Z9943xLEONBV9B_yANjC2vaD414Q5sOm_tXgzEAEx2QuAOzPwIQSwvicooUjYvhdEw_Tv9BIsl2T2X7HVLrfYQOnQd86aBBoVhXg-wzGx49yibLDLyA-sLLtSqWic0/w400-h345/percent%20change%20task%20cards.jpg" title="percent change task cards activity" width="400" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Percent-of-Change-Task-Cards-Activity-print-and-digital-1909173" target="_blank">Percent Change Task Cards Activity</a></td></tr></tbody></table><br /><div style="text-align: left;"><span style="font-family: verdana;">This </span><a href="https://www.teacherspayteachers.com/Product/Percent-of-Change-Task-Cards-Activity-print-and-digital-1909173" style="font-family: verdana;" target="_blank"><span style="color: #2b00fe;">percent change task cards activity</span></a><span style="font-family: verdana;"> sparks a lot of conversations about how prices have changed over the years. Students calculate and compare percent change between past and present costs of items.</span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/Percent-Change-Coloring-Activity-Sheet-9495620" target="_blank"><img alt="percent change coloring activity sheet" border="0" data-original-height="637" data-original-width="825" height="309" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEigt0ae3AMcSy5HwBxN0TGcq5yMPNEdsewxgm1L-QSJJli726uvjuR47APrYXM41Bl8mOQJ1qdZpce2OF7dPgGCnAr-UJjjM3A84LnKlqQ_fAzbtqYlMb1BOPiRRw3JVunCIu2qucfYWm2vJZ36Kr3yY0Y2TEE3oiCzx3zN1cfDsIX5jQVin4FdFwRl52Q/w400-h309/percent%20change%20coloring%20sheet.jpg" title="percent change coloring activity sheet" width="400" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Percent-Change-Coloring-Activity-Sheet-9495620" target="_blank">Percent Change Coloring Sheet</a></td></tr></tbody></table><br /><div style="text-align: left;"><span style="font-family: verdana;">Students practice finding percent change on this 1-page </span><a href="https://www.teacherspayteachers.com/Product/Percent-Change-Coloring-Activity-Sheet-9495620" style="font-family: verdana;" target="_blank"><span style="color: #2b00fe;">percent change coloring activity sheet</span></a><span style="font-family: verdana;">.</span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science/Category/9679-Percents-162219" target="_blank"><span style="color: #2b00fe;">Browse all 20+ percent activities</span></a></span></div><div style="text-align: left;"><br /></div></div><div style="text-align: left;"><span style="font-family: verdana;"> </span></div><p></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><br /></span></p><p></p>ScaffoldedMathhttp://www.blogger.com/profile/12991099683629425350noreply@blogger.com0tag:blogger.com,1999:blog-969821499728229660.post-79107642653284129922024-02-12T10:51:00.000-05:002024-03-15T10:30:23.815-04:002 Pi Day digital math escape room activities<p><span style="font-family: verdana;">Today is Pi Day so I wanted to share a couple digital activity ideas. Both also come in print, if you prefer having your students work on paper. </span></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Pi-Day-Digital-Math-Escape-Room-Activity-for-Middle-School-6627141" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Pi Day Digital Math Escape Room Activity for middle school" border="0" data-original-height="816" data-original-width="1248" height="261" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgLxHS9Q0kEyl0LrRMD5xNGnGLa4TK8_cpNEyJNroYOOm1A_HL3weP-AGikDKUyyOln0CfpaQl7ujiRJ3D2d-jwiNg7TrRtzbNDH8L8yJ6pGn0RywdtTxfiQIkat0sqAmSje4vfyMAv92uQY33QWqcbK17W7NC1Xz91qFC3ykDvHAHrQy3ifGDOnRX2avg/w400-h261/Pi%20Day%20escape%20room%20middle%20school.png" title="Pi Day Digital Math Escape Room Activity for middle school" width="400" /></a></div><p></p><p><span style="font-family: verdana;">The first is a <a href="https://www.teacherspayteachers.com/Product/Pi-Day-Digital-Math-Escape-Room-Activity-for-Middle-School-6627141" target="_blank"><span style="color: #2b00fe;">Pi Day digital math escape room for middle school</span></a> where students find either the area or the circumference of a circle, given diameter or radius. Students calculate their answers then type the correct 4-letter code to move to the next puzzle. </span></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Pi-Day-Digital-Math-Escape-Room-Activity-6558265" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Pi Day Digital Math Escape Room Activity" border="0" data-original-height="816" data-original-width="1248" height="261" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi7zSXP5u_EDa8DLbtmWCcZ60hKexv2c4ZbUqjh5l_SxeHUu-AzqssOvzLelV1N71wQ0IoDzcphUJZJJIvr8kbWW12VIoMSHdYsN9ud0gEJUomVg5VY2YSlah0RLYOmYbM_1UmVZ0LFtHV1imnayLciyL-SqrFSMJSRvCxAU9gUugWVNa8550I6Yxx9gpU/w400-h261/Pi%20Day%20escape%20room%20high%20school.png" title="Pi Day Digital Math Escape Room Activity" width="400" /></a></div><p></p><p><span style="font-family: verdana;">The next is a <a href="https://www.teacherspayteachers.com/Product/Pi-Day-Digital-Math-Escape-Room-Activity-6558265" target="_blank"><span style="color: #2b00fe;">Pi Day digital math escape room for older kids</span></a>. In some of the problems, students are asked to find the diameter or radius, given circumference or area. The correct 4-letter code will unlock the next puzzle.</span></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://www.morningbrew.com/daily/issues/big-ban?mbcid=34675477.82806&mid=cc7f0bb61f2e7f17a1b35b7cb8c020dd&utm_campaign=mb&utm_medium=newsletter&utm_source=header_signup" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img border="0" data-original-height="722" data-original-width="870" height="333" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjqYI_QOfke1i5XJ0UE0iuvVH2S7_L0HapbjNRZQ8-vbQayzt3PyjTKzcZtI9-OmnhXdPk3jA4Of0EmItS42zMVYT6sNF8rEsheiDVgCBaIuWzMng-1fFkB6N1Ji1AFCTrmDnu6e9zy6PjAdaQKEdweZJ1n523SbTnUSm8X7yDGMCKsAKM7wisQlhpC3mM/w400-h333/Pi%20Day%20Daily%20Brew.JPG" width="400" /></a></div><p></p><p><span style="font-family: verdana;">My husband forwarded the Morning Brew newsletter to me this morning with this absolutely astounding story about Akira Haraguchi <a href="https://www.morningbrew.com/daily/issues/big-ban?mbcid=34675477.82806&mid=cc7f0bb61f2e7f17a1b35b7cb8c020dd&utm_campaign=mb&utm_medium=newsletter&utm_source=header_signup" target="_blank"><span style="color: #2b00fe;">memorizing 100,000 digits of pi</span></a>. 100 digits would be impressive, but 100,000?! The short article mentions him "mentally linking each digit with a syllable and creating a collection of epic stories from the words those syllables formed."😲</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science/Search:Pi+Day" target="_blank"><span style="color: #2b00fe;">Browse all Pi Day math activities</span></a></span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><a href="https://www.scaffoldedmath.com/2020/09/digital-math-escape-rooms.html" target="_blank"><span style="color: #2b00fe;">Browse all digital math escape rooms</span></a></span></p><p><br /></p><p><span style="font-family: verdana;"><br /></span></p>ScaffoldedMathhttp://www.blogger.com/profile/12991099683629425350noreply@blogger.com0tag:blogger.com,1999:blog-969821499728229660.post-31681774613125541922024-01-30T18:33:00.012-05:002024-03-13T11:54:49.861-04:00"2 Truths and a Lie" Error Analysis Math Activities<p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg6RJq78P76Fh5aK68kWoF93qQttxx2vNQ-SwnY1HmvlqzaqHXraghNh8wPieWUUmyzdqnU_R3pE-TYJyNxI0WYrRnpVC23CsRBYEiBRoFEJxdPYjWmECZRVdcP9bkbzSDLVGShfLd8BYuxkrWa42T45j1Kn9yPndVBssS3NTi5Y4BOtUy1v61lVtg0rVM/s1238/2%20truths%20and%20a%20lie%20error%20analysis%20math%20activities.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1238" data-original-width="941" height="493" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg6RJq78P76Fh5aK68kWoF93qQttxx2vNQ-SwnY1HmvlqzaqHXraghNh8wPieWUUmyzdqnU_R3pE-TYJyNxI0WYrRnpVC23CsRBYEiBRoFEJxdPYjWmECZRVdcP9bkbzSDLVGShfLd8BYuxkrWa42T45j1Kn9yPndVBssS3NTi5Y4BOtUy1v61lVtg0rVM/w375-h493/2%20truths%20and%20a%20lie%20error%20analysis%20math%20activities.png" width="375" /></a></div><br /><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;">In this post you'll find "2 truths and a lie" math activities, each with error analysis questions built right in. Every activity is set up the same way-- find the error (the "lie") on each card, then correct the error on the student answer sheet. Students get practice identifying math errors in the context of different math topics, and then with fixing those errors.</span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: center;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/2-Truths-and-a-Lie-Integer-Operations-Review-Error-Analysis-Activity-10990402" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt=""2 Truths and a Lie" Integer Operations Review Error Analysis Activity" border="0" data-original-height="1500" data-original-width="1500" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiLabHOMUcqHK7J-XKl3xV4ORBlKZS02U5kzeGXz-kPeddC5j8B0YJJJ6iitblKLt1hzCZPa3SRCSDcnxIO0TUhxc8ULnqpyrXCc7EswYRATiG1iIbzwHHNTvu8vf7A2J1yU3NFKzCsBAyGXr538koEFpFA6P1ItCpylXDekNcM8nYDIZOHct6qEIw4Yq8/w400-h400/2%20truths%20and%20a%20lie%20integer%20operations%20error%20analysis%20activity.jpg" title=""2 Truths and a Lie" Integer Operations Review Error Analysis Activity" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;">Here is the first card from an <a href="https://www.teacherspayteachers.com/Product/2-Truths-and-a-Lie-Integer-Operations-Review-Error-Analysis-Activity-10990402" target="_blank"><span style="color: #2b00fe;">integer operations "2 truths and a lie"</span></a> error analysis activity. There are 3 integer operations problems on the card, along with 3 statements comparing the answers. Students solve the 3 problems then figure out which statement is the "lie". Students then fix the lie on their answer sheet.</span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: center;"><div class="separator" style="clear: both; text-align: center;"><span><a name='more'></a></span><a href="https://www.teacherspayteachers.com/Product/2-Truths-and-a-Lie-Slope-Error-Analysis-Activity-10958787" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt=""2 Truths and a Lie" Slope Error Analysis Activity" border="0" data-original-height="1500" data-original-width="1500" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiCmuSYyZKcMqKF1JhxLXgaCdytpQbM5-dRy82wOv_Sl9jPT-r694bu0qCCwesc_9AD4YpUoFcru2jCCbwtzskNtU5pbhXra-bd95m7-OXbwB1s6TpQAXhn7VVXz6d6qA_Uz6uHJbra9nCu4WeOuuywOkuH9wtnf-xXTZ5ewXMNItu7qUcWxXpC8MwcCGE/w400-h400/2%20truths%20and%20a%20lie%20slope%20error%20analysis%20activity.jpg" title=""2 Truths and a Lie" Slope Error Analysis Activity" width="400" /></a></div><br /><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;">For this <a href="https://www.teacherspayteachers.com/Product/2-Truths-and-a-Lie-Slope-Error-Analysis-Activity-10958787" target="_blank"><span style="color: #2b00fe;">slope "2 truths and a lie"</span></a>, students are presented with a graph, a table and a pair of coordinates, as well as 3 statements about each representation's slope. Students need to figure out which of the 3 statements is the lie, then correct that lie on their answer sheet.</span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><b>"2 truths and a lie" error analysis activities:</b></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><a href="https://www.teacherspayteachers.com/Product/2-Truths-and-a-Lie-Ratios-and-Proportions-Error-Analysis-Activity-10995837" target="_blank"><span style="color: #2b00fe;">Ratios and Proportions "2 Truths and a Lie" Activity</span></a></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><a href="https://www.teacherspayteachers.com/Product/2-Truths-and-a-Lie-Integer-Operations-Review-Error-Analysis-Activity-10990402" target="_blank"><span style="color: #2b00fe;">Integer Operations "2 Truths and a Lie" Activity</span></a></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><a href="https://www.teacherspayteachers.com/Product/2-Truths-and-a-Lie-Pythagorean-Theorem-Error-Analysis-Activity-10983521" target="_blank"><span style="color: #2b00fe;">Pythagorean Theorem "2 Truths and a Lie" Activity</span></a></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><a href="https://www.teacherspayteachers.com/Product/2-Truths-and-a-Lie-Slope-Error-Analysis-Activity-10958787" target="_blank"><span style="color: #2b00fe;">Slope "2 Truths and a Lie" Activity</span></a></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><a href="https://www.teacherspayteachers.com/Product/2-Truths-and-a-Lie-Key-Features-of-Quadratic-Graphs-Error-Analysis-Activity-11174820" target="_blank"><span style="color: #2b00fe;">Key Features of Quadratic Graphs </span><span style="color: #2b00fe;"><span>"</span>2 Truths and a Lie" Activity</span></a></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><br /></div><div style="text-align: left;"><span style="font-family: verdana;"><a href="https://www.teacherspayteachers.com/Product/2-Truths-and-a-Lie-Linear-Equations-Error-Analysis-Activity-10953966" target="_blank"><span style="color: #2b00fe;">Linear Equations "2 Truths and a Lie" Activity</span></a></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><a href="https://www.teacherspayteachers.com/Product/2-Truths-and-a-Lie-Domain-and-Range-Error-Analysis-Activity-10945510" target="_blank"><span style="color: #2b00fe;">Domain and Range "2 Truths and a Lie" Activity</span></a></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><a href="https://www.teacherspayteachers.com/Product/2-Truths-and-a-Lie-Exponent-Rules-Error-Analysis-Activity-11003751" target="_blank"><span style="color: #2b00fe;">Exponent Rules "2 Truths and a Lie" Activity</span></a></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><a href="https://www.teacherspayteachers.com/Product/2-Truths-and-a-Lie-Angle-Relationships-Error-Analysis-Activity-11026424" target="_blank"><span style="color: #2b00fe;">Angle Relationships "2 Truths and a Lie" Activity</span></a></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><a href="https://www.teacherspayteachers.com/Product/2-Truths-and-a-Lie-Geometric-Transformations-Math-Error-Analysis-Activity-11167535" target="_blank"><span style="color: #2b00fe;">Geometric Transformations "2 Truths and a Lie" Activity</span></a></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science/Category/2-Truths-and-a-Lie-Math-Error-Analysis-1255111" target="_blank"><span style="color: #2b00fe;">> Browse all 16 "2 truths and a lie" math error analysis activities</span></a></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: center;"><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/2-Truths-and-a-Lie-Math-Error-Analysis-Activity-Bundle-11175873" target="_blank"><img alt=""2 Truths and a Lie" Math Error Analysis Activity Bundle" border="0" data-original-height="989" data-original-width="960" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjB6mxwwI30v5KhyTV8wBIKvD3rds0JHaHzbTJ_c4-grcGaQcZha102tFB31_nbyTMV7QwTXXIXGoVZFJq4iyifv16xiyOS47eGwmy-QE_oJnNYdL_BlIDwRq9hJrhkaqWHrpNx4y8XlQU-EIfyuHGvpkWeGz5OW4q-8dviPk8Cjj7eaRGfMMPtvTIjoVc/w311-h320/2%20truths%20and%20a%20lie%20math%20error%20analysis%20activity%20bundle.png" title=""2 Truths and a Lie" Math Error Analysis Activity Bundle" width="311" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Product/2-Truths-and-a-Lie-Math-Error-Analysis-Activity-Bundle-11175873" target="_blank"><span style="color: #2b00fe;">"2 Truths and a Lie" Error Analysis Activity Bundle</span></a></td></tr></tbody></table><br /><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><br /></div><div style="text-align: left;"><span style="font-family: verdana;">You can see all individual "2 truths and a lie" error analysis math activities here:</span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: center;"><span style="font-family: verdana;"><a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science/Category/2-Truths-and-a-Lie-Math-Error-Analysis-1255111" target="_blank"><span style="color: #2b00fe;">BROWSE ALL "2 TRUTHS AND A LIE" MATH ACTIVITIES</span></a></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><b>More posts:</b></span></div><div style="text-align: left;"><span 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src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhX7itutmYXiP0NlrFZ_VLLaCfP1LLsc8qNAveS3PcANRfOFUg5Xe5vKZ_SlIUFd_XqgXPOmjA4W_OrRO4r-9aN_0XLne7mDS5mvtKHyIE1NKW35bP-Pyo9QzNdL8mE78Jh02fZo9isKF8RtSXySjVSceu3pnjMARwHEwsSjgLnjT-QPPv8piJ92ra_V0o/w320-h204/free%20math%20resource%20library.png" title="Free math resource library" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.scaffoldedmath.com/p/subscribe.html" target="_blank"><span style="color: #2b00fe;">Free math resource library</span></a></td></tr></tbody></table><br /><div style="text-align: center;"><br /></div><div style="text-align: center;"><br /></div><div style="text-align: center;"><br /></div></div><p></p>ScaffoldedMathhttp://www.blogger.com/profile/12991099683629425350noreply@blogger.com0tag:blogger.com,1999:blog-969821499728229660.post-69594893481119570852024-01-30T11:52:00.003-05:002024-01-31T12:16:44.973-05:00How many folds to reach the Moon?<p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgNVNMO1kC1VkynhkKyHtZz0DMhyphenhyphena4HCfPoTKKXcjixuM3akI-yTprMHNMymmhMjbNrAFu6k0hKEcM4nRmhynjI8fspn2psUaziK-DqQh64h-mkMdYjKHEpRaOEiqzo8hDVXc8YEJY3NaPNZkX_e7d1W8UW8FDfc3sRivgoh3kSaZIolUygPcmQypevN30/s1238/42%20folds%20to%20the%20moon.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1238" data-original-width="941" height="459" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgNVNMO1kC1VkynhkKyHtZz0DMhyphenhyphena4HCfPoTKKXcjixuM3akI-yTprMHNMymmhMjbNrAFu6k0hKEcM4nRmhynjI8fspn2psUaziK-DqQh64h-mkMdYjKHEpRaOEiqzo8hDVXc8YEJY3NaPNZkX_e7d1W8UW8FDfc3sRivgoh3kSaZIolUygPcmQypevN30/w349-h459/42%20folds%20to%20the%20moon.png" width="349" /></a></div><br /><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;">You probably already know that if you could fold a piece of paper 42 times the stack would reach the Moon. This always feels so unbelievable, but the math checks out! In this post, I want to share a couple handouts for students to support a discussion about exponential growth, folding paper to reach the Moon and also a few conversation starters.</span></div><p></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><span></span></span></p><a name='more'></a><span style="font-family: verdana;">Before the handouts, I like to ask students to give their best guess as to how many folds it would take a piece of paper to reach the Moon. Students will likely reply with "a million", "a hundred million", or say that we can only fold a piece of paper 7 times (<a href="https://www.sciencefocus.com/science/whats-the-maximum-number-of-times-that-you-can-fold-a-piece-of-paper" target="_blank"><span style="color: #2b00fe;">world record is 12 times</span></a>, but that's a world record for a reason!). </span><p></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://drive.google.com/file/d/1ndc9tBY72BO_AgmHFHq9a6xzuzb_MAdC/view?usp=sharing" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="How many folds of paper to reach the Moon?" border="0" data-original-height="1125" data-original-width="844" height="542" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjiIu7thyCaQPwVuLZpF07K7sbCmtiaN9QMfRrNHOgUUqIK5VWFwsN-4n-7_5bSV10yk8c6ppaQiTmOGRe_FyNzw6jUE7WHn_qBQD5k9qVQrdPCfvJTfi-V65Ixgl9t9UVgNKBnysDr2zaanNtrp8E6O1UMJ7oNdy3SYqTW81UHDvaQ9xVcf2vFa7XrzUw/w407-h542/paper%20folds%20to%20the%20moon%201.jpg" title="How many folds of paper to reach the Moon?" width="407" /></a></div><br /><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;">This first handout has a table that starts with a piece of paper 0.1 millimeter thick, which is about the thickness of computer paper. Students see in the table that it only takes 42 folds to reach the Moon. They see how fast the pile grows, even having started with a piece of paper so thin! </span></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://drive.google.com/file/d/1ndc9tBY72BO_AgmHFHq9a6xzuzb_MAdC/view?usp=sharing" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Paper folds to the Moon graph" border="0" data-original-height="1125" data-original-width="1500" height="343" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiITlzg-Kgnjirg7FivwjMA7x9A11PD7DycpN2uJYMDAQh1dH1vTSjASI3_nnVZmAIds799nQgxTpbJsdLfNwzSL8BqxlYgxNxYLagHxFhdgM4yt3VdpYdNTzEeo98-ylVkexhI3W3vmcqCV_llwzjGOZQC8DgjMQ78jBBWyfbqasKlGN0VsE3Yhax3OaU/w457-h343/paper%20folds%20to%20the%20moon.jpg" title="Paper folds to the Moon graph" width="457" /></a></div><br /><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;">Here's the same data as a graph on the second handout. It helps better visualize just how fast exponential growth grows the pile of paper. </span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">One question I liked asking students is how many folds it would take to reach half-way to the Moon. When the answer comes out as 41, and then that it takes just one more fold to reach the Moon, the students can't believe it. But this is the power of exponential growth. Ms. Ciciena sent this <a href="https://youtu.be/AmFMJC45f1Q?si=ki6tz_umHIy5RoN8" target="_blank"><span style="color: #2b00fe;">folding paper video</span></a> to go along with the lesson.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><u>Other questions that could spark classroom discussion:</u></span></p><p><span style="font-family: verdana;">"How thin will the stack of paper be once it's at the Moon?"</span></p><p><span style="font-family: verdana;">"Would we need a microscope to see it?"</span></p><p><span style="font-family: verdana;">"What if we start with a piece of paper twice as thick? Half as thick?"</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">The handouts in this post are in my Google Drive here: </span></p><p><br /></p><p style="text-align: center;"><span style="font-family: verdana;"><a href="https://drive.google.com/file/d/1ndc9tBY72BO_AgmHFHq9a6xzuzb_MAdC/view?usp=sharing" target="_blank"><span style="color: #2b00fe;">42 Folds to the Moon handouts</span></a></span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><b>More posts:</b></span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><a href="https://www.scaffoldedmath.com/2020/09/digital-math-escape-rooms.html" target="_blank"><span style="color: #2b00fe;">Digital Math Escape Rooms</span></a></span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><a href="https://www.scaffoldedmath.com/p/word-walls.html" target="_blank"><span style="color: #2b00fe;">Math Word Walls</span></a></span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><a href="https://www.scaffoldedmath.com/2020/01/how-to-graph-exponential-functions-by-hand.html#more" target="_blank"><span style="color: #2b00fe;">How to Graph Exponential Functions by Hand</span></a></span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><a href="https://www.scaffoldedmath.com/2017/04/number-talks.html" target="_blank"><span style="color: #2b00fe;">Number Talks in High School Math</span></a></span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><br /></span></p>ScaffoldedMathhttp://www.blogger.com/profile/12991099683629425350noreply@blogger.com0tag:blogger.com,1999:blog-969821499728229660.post-67247797360012889532024-01-22T18:55:00.011-05:002024-01-23T16:16:24.393-05:00Free Printable Multiplication Poster<p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhXvTMfP7WbVkDbiHikkxNaNy_vfy-f-Pp4ZWCPxWYY8LKmsitxnuINGGY4GPieAb6GiFlS0nEeK8UJEQpyYma8o5J1O_wGxcRT5smwCD8P1Qec8-GH4jRejVNYAFBEcrDAli4OI0LHXI4MvguCQ9J29U9wH7lf_-X0HkBetX0zgZ6k9NR7zGKC8j-pOhw/s1238/free%20printable%20multiplication%20poster.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1238" data-original-width="941" height="461" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhXvTMfP7WbVkDbiHikkxNaNy_vfy-f-Pp4ZWCPxWYY8LKmsitxnuINGGY4GPieAb6GiFlS0nEeK8UJEQpyYma8o5J1O_wGxcRT5smwCD8P1Qec8-GH4jRejVNYAFBEcrDAli4OI0LHXI4MvguCQ9J29U9wH7lf_-X0HkBetX0zgZ6k9NR7zGKC8j-pOhw/w350-h461/free%20printable%20multiplication%20poster.png" width="350" /></a></div><br /><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;">Last summer, my daughter worked hard to learn her multiplication facts. Some facts she memorized, some she used strategies such as building on the facts that she already knew. For example, she adds one more number to her 11s to get to 12s. For 8 x 12, she multiplies 8 x 11 and adds 8. This was a multiplication strategy she completely taught herself.</span></div><p></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><span></span></span></p><a name='more'></a><span style="font-family: verdana;">At first she was annoyed with me for pushing her to learn her multiplication facts, especially during the summer. But now back in school, she's having an easier time working through homework and their Friday multiplication quizzes. She's also having an easier time with division, namely the partial quotients strategy they're currently learning and practicing.</span><p></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">When I taught algebra, I saw how not knowing multiplication facts affected my students. It affected factoring, but also my students' self-confidence. This was the main reason I pushed my daughter to learn her multiplication facts. I didn't want her losing confidence in math this early on because it's hard to regain that confidence once it's gone.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">This post may sound like an advertisement for learning multiplication facts, but I really do feel that knowing them builds the confidence necessary to take on higher math. Still, if you have students who have a hard time memorizing, I'm hoping the resources in this post will help.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">During our factoring unit in algebra 2, I went back and forth about giving my students a multiplication chart. I didn't want to be insulting, but I also knew that they needed the support. So I gave them a multiplication chart and we played a <a href="https://www.scaffoldedmath.com/2015/03/solving-quadratics-activity-lets-make.html" target="_blank"><span style="color: #2b00fe;">Let's Factor! game</span></a> to get started on our factoring unit.</span></p><p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><br /></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.scaffoldedmath.com/2015/03/solving-quadratics-activity-lets-make.html" target="_blank"><span style="color: #2b00fe;"><img border="0" data-original-height="624" data-original-width="960" height="260" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg9arYXyd5LN5Nm5TFIeWPGWpD9Fb6JgurXG87kyqnENncDQ-QMV4LKcyiRN-2WT6FR6_HgyQ871mL1qlJXjonOxz3Z7vm329NFJh0kD34e4AgT9-v8fk6fHWBKbSYlSgK0FWsiQPmomQWNBdpBca8fG8dN9fXll5sKplSDilsp-fQ1z_wXrSOT7IewfBM/w400-h260/factoring%20game.jpg" width="400" /></span></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.scaffoldedmath.com/2015/03/solving-quadratics-activity-lets-make.html" target="_blank"><span style="color: #2b00fe;">Let's Factor! PowerPoint Game</span></a></td></tr></tbody></table><br /><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;">After giving my students the multiplication chart, I noticed some students couldn't read it. They didn't know to find the intersection of the rows and columns to find each product. This was something I wasn't expecting, and quite frankly it made me really sad. Not only did they not know their multiplication facts, they also couldn't use the tools available to them. Because there's a bit of redundancy in a multiplication chart, I pulled out half of the numbers with this triangular multiplication chart. The <a href="https://www.scaffoldedmath.com/p/subscribe.html" target="_blank"><span style="color: #2b00fe;">multiplication chart is free here</span></a> in my blog's free math resource library</span><span style="font-family: verdana;">.</span></div><p></p><div class="separator" style="clear: both; text-align: center;"><br /></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.scaffoldedmath.com/p/subscribe.html" target="_blank"><img border="0" data-original-height="1125" data-original-width="1125" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjb2Qdvec6FGjvxMDXjlkYS84hYNOl_PRUonsZV_Ca1AJtDEJqRqMM1nyZXEoB8n6MB1F1oEC9Z_kdUityUwY2NwTeNEg2msEuQYme4LByaLcrNt7TynEtfQ8-aXKYF-NgkApK_zSDt9tBmt3vpd1FDSvvdy9eoX0xHFPZN9LJtS69zFFhsQSoCirsoRcM/w400-h400/multiplication%20chart.png" width="400" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.scaffoldedmath.com/p/subscribe.html" target="_blank"><span style="color: #2b00fe;">Free multiplication chart</span></a></td></tr></tbody></table><p></p><p style="text-align: center;"></p><div style="text-align: left;"><br /></div><p><span style="font-family: verdana;">If you download the multiplication chart, there are directions on page 2 of the PDF for enlarging it into a multi-page poster. The directions will work to enlarge any PDF into a poster with any printer.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">For older students, practicing with flashcards may not work because they'll think it's "baby" work and tune out. Asking, "What 2 numbers multiply to X that add to Y?" gamifies multiplication so that students get the multiplication practice without it feeling like practice. There is a set of <a href="https://www.scaffoldedmath.com/2023/10/Multiplication-Facts-Practice-Middle-and-High-School-Students.html" target="_blank"><span style="color: #2b00fe;">What 2 Numbers? multiplication cards here</span></a>. </span></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.scaffoldedmath.com/2023/10/Multiplication-Facts-Practice-Middle-and-High-School-Students.html" target="_blank"><img border="0" data-original-height="2462" data-original-width="2462" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh0v1mjlsXxsW6fu44sJbmBC5DOrr0l030yQN_uGyx2SS1c3Q0Q9fgLbyr1HKtQU-S4qaMjJaQzu2tZWEhHlSOUUfLVcZ3VfGehwW5lsQuTVwOgO79KJaI5m3AUtZc2sXbv_w-Psf8hYNfNyqa4iHSRZt0JzB129P7u-DS8qyMoZFqbN3gok2E7qzhr7eI/w400-h400/what%202%20numbers.jpg" width="400" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.scaffoldedmath.com/2023/10/Multiplication-Facts-Practice-Middle-and-High-School-Students.html" target="_blank"><span style="color: #2b00fe;">What 2 Numbers? Multiplication Cards</span></a></td></tr></tbody></table><br /><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;">What have been your observations when it comes to kids learning their multiplication facts? </span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><br /></span></p>ScaffoldedMathhttp://www.blogger.com/profile/12991099683629425350noreply@blogger.com0tag:blogger.com,1999:blog-969821499728229660.post-30592765754029144602024-01-08T14:02:00.010-05:002024-01-17T13:15:39.472-05:00Teaching Budgeting in High School Consumer Math<p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgw_tDAhKGYOAG8ZIcyQduCYIiZcDYqHDE219rYDmDrOAcYEQtyfTlw6vbyFleZbh01IqTuTHImtWp9O7QNNvSvHLRN75-GXZD849ZpO34FTXoLTS68w9HOrUX3Ryz1YFfjag3D4EvQSbld3dL1d0jZ5VNRnLIs1qM1XCY4V28bOgu0NUKX5L1z_xYGHUI/s720/teaching%20budgeting.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="Teaching Budgets in High School Consumer Math" border="0" data-original-height="720" data-original-width="720" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgw_tDAhKGYOAG8ZIcyQduCYIiZcDYqHDE219rYDmDrOAcYEQtyfTlw6vbyFleZbh01IqTuTHImtWp9O7QNNvSvHLRN75-GXZD849ZpO34FTXoLTS68w9HOrUX3Ryz1YFfjag3D4EvQSbld3dL1d0jZ5VNRnLIs1qM1XCY4V28bOgu0NUKX5L1z_xYGHUI/w400-h400/teaching%20budgeting.png" title="Teaching Budgets in High School Consumer Math" width="400" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div style="text-align: left;"><span style="font-family: verdana;">Teaching the ins and outs of budgeting was one of my favorite units to teach in </span><a href="https://www.scaffoldedmath.com/p/consumer-math.html" style="font-family: verdana;" target="_blank"><span style="color: #2b00fe;">Consumer Math</span></a><span style="font-family: verdana;">. It started with us calculating net monthly income and ended with us commenting on how much we all spend on food. It was a fun unit to teach because it gave students the tools to analyze their own spending and how it aligned with their future goals.</span></div><p></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">In our wages and salary unit, we learned that net monthly income is about 70% of gross monthly income. We often used this <a href="https://youtube.com/shorts/BK_M6czHaXg?si=I1SJE2sZqXVa7zL5" target="_blank"><span style="color: #2b00fe;">net income estimation</span></a> when budgeting.</span></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjr_G2QPK7a71WVNnvqvDLg9yX0SFj2QLWGykdNN-O8v01zIduo_I_bM28kKknMKui8ZbBfCtw19zuDbAtuYZPxE_7waU3cOi7z5HB4-4c0qzP852yXdn5oRFf_aYmyZja7tFP3aDlmbkZXPcmQJ9-2R78P8iKRUHoEQsanB_rJeM8EWJVQ4KIzAyCHXnU/s1500/Martins%20budget.png" style="margin-left: 1em; margin-right: 1em;"><img alt="budgets warm up - Scaffolded Consumer Math Curriculum" border="0" data-original-height="1125" data-original-width="1500" height="362" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjr_G2QPK7a71WVNnvqvDLg9yX0SFj2QLWGykdNN-O8v01zIduo_I_bM28kKknMKui8ZbBfCtw19zuDbAtuYZPxE_7waU3cOi7z5HB4-4c0qzP852yXdn5oRFf_aYmyZja7tFP3aDlmbkZXPcmQJ9-2R78P8iKRUHoEQsanB_rJeM8EWJVQ4KIzAyCHXnU/w483-h362/Martins%20budget.png" title="budgets warm up - Scaffolded Consumer Math Curriculum" width="483" /></a></div><br /><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;"><span></span></span></p><a name='more'></a><span style="font-family: verdana;">We started each class with a warm-up that involved budgeting for a make believe client. Here's Martin's monthly spending shining on the front board. Is he overspending in any budget category?</span><p></p><p><span style="font-family: verdana;"><br /></span></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjYaGfftSoMjMqAvwbFJbn2h3cNdOXwasCpsQoFYN7h_amsDkupkZ4VX0GoNBFkKGTwR4e9Xifyq7qMjXyUBRYvJhhENiX9XiBmBz7Dnf1olypYLyHMB1tSMNRBrWQgEcLy-zSAzdSGCmqnCjpmEQuQzbpzlu395863KOsFO8NBJw6qm1rK8_i0bXPKyqA/s1125/Martins%20budget%20warm-up.png" style="margin-left: 1em; margin-right: 1em;"><img alt="budgets warm up - Scaffolded Consumer Math Curriculum" border="0" data-original-height="1125" data-original-width="1125" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjYaGfftSoMjMqAvwbFJbn2h3cNdOXwasCpsQoFYN7h_amsDkupkZ4VX0GoNBFkKGTwR4e9Xifyq7qMjXyUBRYvJhhENiX9XiBmBz7Dnf1olypYLyHMB1tSMNRBrWQgEcLy-zSAzdSGCmqnCjpmEQuQzbpzlu395863KOsFO8NBJw6qm1rK8_i0bXPKyqA/w400-h400/Martins%20budget%20warm-up.png" title="budgets warm up - Scaffolded Consumer Math Curriculum" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;">Every student got a warm-up template to complete. When gross monthly income was given without a list of paycheck deductions, like with Martin, students used the 70% estimation to get net monthly income. </span></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjKnv5z-5Apegaqp8LSNycWGDyxJv7Ppwd3mDOpXdfXcU1rI8ytdph9By9ib-PIF_yHXHHHgnKSG0EdapkMPtoRFnNn8SEZxf-hq8anTR1rCDvG_q7dAmAaNELCFttlpth4fjgcKjwS9UdQ0xNQSFqaqxeFtQu-6hSk6PSNFI0hIPJ1EIgasQUC3FZ6lZ0/s1125/budget%20percentages.png" style="margin-left: 1em; margin-right: 1em;"><img alt="Budget wheel - Scaffolded Consumer Math Curriculum" border="0" data-original-height="1125" data-original-width="1125" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjKnv5z-5Apegaqp8LSNycWGDyxJv7Ppwd3mDOpXdfXcU1rI8ytdph9By9ib-PIF_yHXHHHgnKSG0EdapkMPtoRFnNn8SEZxf-hq8anTR1rCDvG_q7dAmAaNELCFttlpth4fjgcKjwS9UdQ0xNQSFqaqxeFtQu-6hSk6PSNFI0hIPJ1EIgasQUC3FZ6lZ0/w400-h400/budget%20percentages.png" title="Budget wheel - Scaffolded Consumer Math Curriculum" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;">This is the budget wheel that students had in their notebooks that shows the percentages of each budget category. </span></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgC_VOFngzGBFSC33yZzWILDNt540biZti9TrXdN77snhSsQb_GnsAR4FN7plQxbOjSxcucieCKdCSLZusyNUmxoVXbdYXWpupLCIdb0kg5IlNo8Q6ZvSX66EHiaXlGT4o9LE6mehwtPGVSaE6Pgx3eHrVs4idevDYce7DJ0N3ce4tMQD0FV64Rd4zSdtI/s1125/Martins%20budget%20warm-up%20completed.png" style="margin-left: 1em; margin-right: 1em;"><img alt="budgets warm up - Scaffolded Consumer Math Curriculum" border="0" data-original-height="1125" data-original-width="1125" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgC_VOFngzGBFSC33yZzWILDNt540biZti9TrXdN77snhSsQb_GnsAR4FN7plQxbOjSxcucieCKdCSLZusyNUmxoVXbdYXWpupLCIdb0kg5IlNo8Q6ZvSX66EHiaXlGT4o9LE6mehwtPGVSaE6Pgx3eHrVs4idevDYce7DJ0N3ce4tMQD0FV64Rd4zSdtI/w400-h400/Martins%20budget%20warm-up%20completed.png" title="budgets warm up - Scaffolded Consumer Math Curriculum" width="400" /></a></div><div style="text-align: left;"><br /></div><p></p><p><span style="font-family: verdana;">Students then calculated their client's spending in each category and analyzed for overspending. It looks like Martin is overspending on housing and on food.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">The budgeting warm-ups are part of the <a href="https://www.scaffoldedmath.com/2022/06/consumer-math-curriculum.html" target="_blank"><span style="color: #2b00fe;">Scaffolded Consumer Math Curriculum</span></a>.</span></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/Budget-Task-Cards-Personal-Finance-Activity-print-and-digital-1905145" target="_blank"><img alt="Budget Task Cards Activity" border="0" data-original-height="1125" data-original-width="1125" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-TLxT68qazJEJEOXu5a66lq-g8Rm5_kku9Zyj1JuumyPE0nOWmmGU63IvGvmLMX4t8Y8BJc2kjwOwWbMmlC-phHAAaoPirXzIwgDrBmb8lEeqJvKgu1jJWIJbBmPocD0DvYvgpC5_VQ_qDZaDGJTNflzIbxJLgqZNFPjvfdAjeWIGH0nEoO3PA9_Stmg/w400-h400/budget%20tasks.jpg" title="Budget Task Cards Activity" width="400" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Budget-Task-Cards-Personal-Finance-Activity-print-and-digital-1905145" target="_blank"><span style="color: #2b00fe;">Budget Task Cards</span></a></td></tr></tbody></table><br /><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;">As a way to sum up learning, students completed a set of <a href="https://www.teacherspayteachers.com/Product/Budget-Task-Cards-Personal-Finance-Activity-print-and-digital-1905145" target="_blank"><span style="color: #2b00fe;">budget task cards</span></a>. I let students use their notebooks for reference, though the cards also include the budgeting percentages.</span></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"><span style="font-family: verdana;"><b>More budget activities</b></span></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/Budgeting-Digital-Math-Escape-Room-Activity-9226419" target="_blank"><img alt="Budgeting digital math escape room" border="0" data-original-height="816" data-original-width="1248" height="261" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiyDt5CwKLhM7xWSFsOvEl5VrgcErX-HwGkUX9uWaoKTsSKW27uZ5LC0pYGuFNaVsstyTUxhSZdRDc122mzbg66pq_3x9SRJq57v6p4VsHsZ6U9qnK7899CBGZqJ_P1vn5fxpk0tYavDpPV33Ehg3MUWT-qGZQs4VDxK9dvZnaetn3qOr6JooVZf6UVty4/w400-h261/budget%20digital%20math%20escape%20room.png" title="Budgeting digital math escape room" width="400" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Budgeting-Digital-Math-Escape-Room-Activity-9226419" target="_blank"><span style="color: #2b00fe;">Budgeting digital math escape room</span></a></td></tr></tbody></table><br /><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;">This <a href="https://www.teacherspayteachers.com/Product/Budgeting-Digital-Math-Escape-Room-Activity-9226419" target="_blank"><span style="color: #2b00fe;">budgeting digital math escape room</span></a> is an engaging activity for calculating budgets. Each puzzle is answer-validated, so students can't move on to the next puzzle until typing the correct 4-letter code.</span></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/Budgeting-Digital-Math-Escape-Room-Activity-9226419" target="_blank"><img alt="Budgeting digital math escape room" border="0" data-original-height="816" data-original-width="1248" height="261" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjSnetBIPEwqvAU3dFTSBolsLuyAwkudpzw8YnP5yBJON9yLLyLb_b0lAjL7kNuLGHqcaBGwPm4JgNZLzYBSpMS7XPIkrdj6MFneou-eCeloZ5SclCBZ39bCEI42J4GNpARFlRmRJ1Dznu_RrtwchX4qUUdnTjgCZqPnpEDTJneewqUuCwxZPAbCS8N4mI/w400-h261/budget%20digital%20math%20escape%20room%20lock%20unlocked.png" title="Budgeting digital math escape room" width="400" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Budgeting-Digital-Math-Escape-Room-Activity-9226419" target="_blank"><span style="color: #2b00fe;">Budgeting digital math escape room</span></a></td></tr></tbody></table><br /><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;">When students type the correct code, they move on to the next puzzle. A black and white paper version is also included if you'd rather students work offline. </span></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://shopscaffoldedmath.com/products/budget-project" target="_blank"><img alt="Budget project" border="0" data-original-height="1117" data-original-width="838" height="504" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiW0sJcNA2xAjcbOX0PidHGE_dADLLozMpxbn5ABWxe0oFoGz1taabsBuajWGXsMrhlewaPGGDEm3B2AoY0EVSduvnaZ4btVjpkhd1qJ056oevyqjAZIYu2QbD2cLrur-3sYSVOvVyf4yEAEcsFDt8gZOtovcP8L1GLXfB7CfZu1CbNySJlNmw0AOaDljE/w378-h504/budget%20project.jpg" title="Budget project" width="378" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://shopscaffoldedmath.com/products/budget-project" target="_blank"><span style="color: #2b00fe;">Budget Project</span></a></td></tr></tbody></table><br /><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;">Students pick a career, an apartment, a car and a habit in this mix-and-match <a href="https://shopscaffoldedmath.com/products/budget-project" target="_blank"><span style="color: #2b00fe;">budget project</span></a>. There are 576 possible lifestyle choices, given the 20 cards. Two answer keys are included for the most frugal lifestyle and the most extravagant lifestyle.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><a href="https://www.scaffoldedmath.com/p/consumer-math.html" target="_blank"><span style="color: #2b00fe;">Browse all consumer math</span></a></span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science/Category/Consumer-Math-Financial-Literacy-215358" target="_blank"><span style="color: #2b00fe;">Browse consumer math activities</span></a></span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><br /></span></p>ScaffoldedMathhttp://www.blogger.com/profile/12991099683629425350noreply@blogger.com0tag:blogger.com,1999:blog-969821499728229660.post-47730966103368133682023-11-16T13:54:00.004-05:002023-11-16T13:54:55.220-05:00New Health Insurance Unit-- consumer math curriculum<p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiXNTlCldwWPf93336_oWV-CbfZbd4ZQtXHAe0TlAfxQ2XZc1jdhhIomb-VVANIAjoMWJ-0uFCNIRXNK4JewEdkN1aCf8ojrhFHL65dkAkT7SxcrfT8UDzJE_coYPVl92x5iN14AJcH63ZSU3sZlCIMGFqKFKx_FjkcCL_txwRkFB1cj3yBSkljUf8BZs0/s1512/health%20insurance.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="New Health Insurance Consumer Math Unit" border="0" data-original-height="1512" data-original-width="1512" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiXNTlCldwWPf93336_oWV-CbfZbd4ZQtXHAe0TlAfxQ2XZc1jdhhIomb-VVANIAjoMWJ-0uFCNIRXNK4JewEdkN1aCf8ojrhFHL65dkAkT7SxcrfT8UDzJE_coYPVl92x5iN14AJcH63ZSU3sZlCIMGFqKFKx_FjkcCL_txwRkFB1cj3yBSkljUf8BZs0/w400-h400/health%20insurance.jpg" title="New Health Insurance Consumer Math Unit" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;">The <a href="https://shopscaffoldedmath.com/products/scaffolded-consumer-math-curriculum" target="_blank"><span style="color: #2b00fe;">Scaffolded Consumer Math Curriculum</span></a> has a new unit-- health insurance. Students will learn the ins and outs of copays, coinsurance, deductibles, out of pocket maximums, and of course the math behind it all.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">Just like every other unit in the curriculum, the new health insurance unit includes a printable PDF student book unit, a teacher's unit with answers to questions asked in the student book, student notebook pages, PowerPoint notes, an editable quiz, warm-ups and all answer keys.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">Vocabulary includes: premium, deductible, plan, deductible balance, HMP, PPO, copay, coinsurance, PCP, referral, specialist, out of pocket maximum, open enrollment period.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">There's a lot of math involved in health insurance, especially between meeting a deductible and meeting OOPM, and with coinsurance payments. My hope is that this new unit clarifies health insurance for your students and gives them confidence calculating costs. </span></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"><span style="font-family: verdana;"> <table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://shopscaffoldedmath.com/products/scaffolded-consumer-math-curriculum" target="_blank"><img alt="Scaffolded Consumer Math Curriculum" border="0" data-original-height="960" data-original-width="960" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhM1Z901TsrlO4EdLRdFZsfKDe6H5vKaxRBLQKE2eoyCvqnAbjIzdVgErrjGykbUPIVkt_PH5cr0PZwdjbJiqYbk73tIoqKcDUc6zopfXtDIvO_zhjERL4zzPDyEfdAsmJRjMlf2-z254Gt3kDCL9F0QxvAGt5OMewmMNSQcdrZR9WyFTARpLHz_dUjWyM/w320-h320/cover.png" title="Scaffolded Consumer Math Curriculum" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://shopscaffoldedmath.com/products/scaffolded-consumer-math-curriculum" target="_blank"><span style="color: #2b00fe;">consumer math curriculum</span></a></td></tr></tbody></table><br /></span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><br /></span></p>ScaffoldedMathhttp://www.blogger.com/profile/12991099683629425350noreply@blogger.com0tag:blogger.com,1999:blog-969821499728229660.post-42432839808440054352023-11-15T11:35:00.003-05:002024-02-04T15:21:32.936-05:00Sums of angles in polygons hands-on discovery<p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi1JqtEcJ1W3n20wuNaWdTxBUAGDNJ1QHSia1dy8OV4tDMyVOYL70N1P7RP1uINu-i1VS4xCELUqFOctO9xHyUGO5xqc545JQL1qqKikcsj6aoQxAH30YofnNtw7DzLOLoe5ZyjuKHMpjjuWcuRiR3VCiUvYxv4VBgUyZDdE2u2zy1S1MzkyXrwxkh0SKw/s1500/discovering%20the%20sums%20of%20interior%20angles%20of%20polygons.png" style="margin-left: 1em; margin-right: 1em;"><img alt="Ripping the corners off a triangle to prove the sum of its interior angles is 180 degree is my favorite visual proof. Over the weekend, I posted a couple short videos for finding the sum of interior angles in a polygon, so here I wanted to share the videos and the worksheets from the videos." border="0" data-original-height="1125" data-original-width="1500" height="300" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi1JqtEcJ1W3n20wuNaWdTxBUAGDNJ1QHSia1dy8OV4tDMyVOYL70N1P7RP1uINu-i1VS4xCELUqFOctO9xHyUGO5xqc545JQL1qqKikcsj6aoQxAH30YofnNtw7DzLOLoe5ZyjuKHMpjjuWcuRiR3VCiUvYxv4VBgUyZDdE2u2zy1S1MzkyXrwxkh0SKw/w400-h300/discovering%20the%20sums%20of%20interior%20angles%20of%20polygons.png" title="Discovering the sums of interior angles in a polygon" width="400" /></a></div><br /><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;">Ripping the corners off a triangle to prove the sum of its interior angles is 180 degree is my favorite visual proof. Over the weekend, I posted a couple short videos for finding the sum of interior angles in a polygon, so here I wanted to share the videos and the worksheets from the videos.</span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><span><a name='more'></a></span><div class="separator" style="clear: both; text-align: left;"><br /></div><p></p><p></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.youtube.com/shorts/qjDCe0LaWqI" target="_blank"><img alt="Sum of interior angles - triangle and quadrilateral video" border="0" data-original-height="741" data-original-width="421" height="484" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiHzZ3H77WxURLTx28ydGqNAqtGC4CkCQ8kaqUyHuAXzxwBfBwPzSBrHjql-ef22xB1szdYokxKv6T5DdnNbPg1gX1yxJFTFi2jn1TUWuGxCesd9IOcQUiTyo1jVsybXvkAou0LVrKjvLvlCPPUO8jaCtpcuo4TcYBHgdnxgq0Wi7XudmUiqF93BDklcjc/w276-h484/triangle%20and%20quadrilateral.JPG" title="Sum of interior angles - triangle and quadrilateral video" width="276" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.youtube.com/shorts/qjDCe0LaWqI" target="_blank"><span style="color: #2b00fe;">Sum of interior angles - triangle and quadrilateral video</span></a></td></tr></tbody></table><br /><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;">Above is a short, 17-second video showing the sum of a triangle's interior angles is 180 degrees, and the sum of a quadrilateral's interior angles is 360 degrees.</span></p><p><span style="font-family: verdana;"><br /></span></p><p></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.youtube.com/shorts/dGVrHcZ1F2M" target="_blank"><img alt="Sum of interior angles of a pentagon video" border="0" data-original-height="758" data-original-width="430" height="482" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEih1vLEDrLbnznPobIrMfDv18HvOhGS-zw_mfNsHNyzfFGi-L3QAIgENnapnZcdHv7myQxIOUGLnHPuk_A5h7t_1BDwYUo8z5EqA7om2lZ6QguFkGmoRicVbxR302-LFgZz8cxhZXq-_Vk-vp1z7F4T6WOTymZI0WxHih3jG0FtxIKJqChqESYisiTeCEA/w275-h482/pentagon.JPG" title="Sum of interior angles of a pentagon video" width="275" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.youtube.com/shorts/dGVrHcZ1F2M" target="_blank"><span style="color: #2b00fe;">Sum of interior angles of a pentagon video</span></a></td></tr></tbody></table><br /><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;">This second short shows the sum of the interior angles of a pentagon is 540 degrees. The angles needed a bit of trimming to fit together, but clearly showed the "circle and a half". How cool is it that we can show these proofs using cut paper?</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">If you'd like the triangle, quadrilateral and pentagon shapes worksheets from the videos, they are <a href="https://drive.google.com/file/d/1PSiTC5VfbU5-d9rwH4zVihahlUSNvS96/view?usp=sharing" target="_blank"><span style="color: #2b00fe;">here</span></a> in my Google Drive.</span></p><p><span style="font-family: verdana;"><br /></span></p><p></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://shopscaffoldedmath.com/products/geometry-word-wall" target="_blank"><img alt="math word wall reference for the sums of interior angles of polygons" border="0" data-original-height="2801" data-original-width="3024" height="370" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjqIpQHvx824jrRNsWZonDTIxONmSos0Gy0_l3ZIGgGCPTrJyHDcYczA-x2bNwxMfLnnvgQ95YoCX9Vx9wQG21pR9uwpGXWChYx0rWkH7cnLrKz1lH25UAZ6aDI_mDQCgHMl1nWcJXP2REPC8P_3wg4-omIHEViZkqqosugdFZv094_3lfXH3dwPx2fDuI/w400-h370/sum%20of%20interior%20angles%20of%20polygon%20math%20word%20wall%20reference.jpg" title="math word wall reference for the sums of interior angles of polygons" width="400" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://shopscaffoldedmath.com/products/geometry-word-wall" target="_blank"><span style="color: #2b00fe;">Geometry Word Wall reference</span></a></td></tr></tbody></table><br /><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;">A teacher emailed to ask if I had a math word wall reference for the sums of interior angles of polygons. I added the above reference to the <a href="https://shopscaffoldedmath.com/products/geometry-word-wall" target="_blank"><span style="color: #2b00fe;">Geometry Word Wall</span></a> today.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.scaffoldedmath.com/p/subscribe.html" target="_blank"><img border="0" data-original-height="816" data-original-width="1280" height="204" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgOKXTvsizc12Sa2wulr9h9EYVoIQlP6MhHI12YjpCucUgJUXkV3IglhBHHSpRgAJdFPD3tOJhzONpn3Nizr-aiZ8adRTDI1NrR7TwS7pL96fkMwk4O6_IKQox0vKX2Rtap3BK2503vvXjWz2KvJs66pA5pRuZmWPXafhkdQtO49icmfzHDZsDymLWxI9c/s320/free%20math%20resource%20library.png" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.scaffoldedmath.com/p/subscribe.html" target="_blank"><span style="color: #2b00fe;">Free math resource library</span></a></td></tr></tbody></table><br /><span style="font-family: verdana;"><br /></span><p><span style="font-family: verdana;"><br /></span></p><p></p><span><!--more--></span><span><!--more--></span>ScaffoldedMathhttp://www.blogger.com/profile/12991099683629425350noreply@blogger.com0tag:blogger.com,1999:blog-969821499728229660.post-69197897867501427412023-10-13T08:59:00.006-04:002023-11-13T11:35:34.202-05:00Budget Project for High School Consumer Math<span style="font-family: verdana;"><div class="separator" style="clear: both; text-align: center;"><a href="https://shopscaffoldedmath.com/products/budget-project" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Budget Project for High School Consumer Math" border="0" data-original-height="1125" data-original-width="1125" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjK1gqCIeBxyEhb0M7cF6ukconOkj0ASwXYeZ7xaafcmIY4imI3cSLLd-K7ysgSKeB8o4ILaXCQj6PhlXbA9e9VKfz0aa9QlBjh_82yV5EqaUUcsqCnPNNDcCuRVLB7kuDPcfJevwHehf-Wu5UW_sJiarOXfWY0Qv0TMJnVsacNWn9eKUW-SQ8ysx5opPU/w400-h400/budget%20project.png" title="Budget Project for High School Consumer Math Students" width="400" /></a></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div>Over the past few weeks, I have been working on a <a href="https://shopscaffoldedmath.com/products/budget-project" target="_blank"><span style="color: #2b00fe;">budget project</span></a> where students mix and match a career, apartment, car and habit to see if their spending falls within given budget guidelines. Will students stay within budget with their choices?</span><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span><span style="font-family: verdana;"><div class="separator" style="clear: both; text-align: center;"><span><a name='more'></a></span><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhNEzGiExitNIt9JWlvPFXbTmxOuUCb18XHPBsil9MeQJUd_GWnw9vgtISKH6qUJWAgQei-REsg556ZyZr4PNSk9rggN_7G0L9qoOmWgVtzav5uAbzLyEbyAC8lcRldDvVZKqHOYcyG5qkt-Eb3_zciGz0zoms76PBojoLBZyzLf_z_rBoF-TaVMt3dtlU/s1125/budget%20wheel.jpg" style="margin-left: 1em; margin-right: 1em;"><img alt="percentages for making a budget" border="0" data-original-height="1125" data-original-width="1125" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhNEzGiExitNIt9JWlvPFXbTmxOuUCb18XHPBsil9MeQJUd_GWnw9vgtISKH6qUJWAgQei-REsg556ZyZr4PNSk9rggN_7G0L9qoOmWgVtzav5uAbzLyEbyAC8lcRldDvVZKqHOYcyG5qkt-Eb3_zciGz0zoms76PBojoLBZyzLf_z_rBoF-TaVMt3dtlU/w400-h400/budget%20wheel.jpg" title="percentages for making a budget" width="400" /></a></div></span><div><span style="font-family: verdana;"><br /></span><div><div><div><br /></div><div><span style="font-family: verdana;"><span></span>Students pick a career (6 choices), a car (4 choices), a home (4 choices) and a habit (6 choices), and calculate their net monthly income using the 70% approximation. </span></div><div><span style="font-family: verdana;"><br /></span></div><div></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">Why use 70% to estimate net income? This is an approximation of net income from gross income when all deductions are not known. It's a helpful estimation when deciding to accept a job offer, if car payments will fall within transportation budget, or if an apartment is affordable. It's also a nice workaround to estimate net monthly income for those 2 vs. 3 paycheck months when paid biweekly, or those 4 vs 5 paycheck months when paid weekly.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://shopscaffoldedmath.com/products/budget-project" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Budget Project" border="0" data-original-height="925" data-original-width="694" height="537" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh2EyR_w0ROTgu9IstYd6uyEAX5qgiinRYcwfIS4dQF7_L419ByooFvbnPwDxX9K9M2ENk3GEFY1ErKdVb-PJsWp9Db1JDLBMz1JDWf5GlCUU-UQixVrCgDzReLh-qjPHJVhGTVvWGWaNI5qwKVccFJzesktqh_U1iB-7zDj78m_mCjr2vFRw0Zf-YqWaM/w403-h537/thumb%202.jpg" title="Budget Project" width="403" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">After choosing their 4 cards, students walk through their 7-page answer packets calculating costs and analyzing budgets. Will they be in budget in each category or over?</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">There are 576 possible career/home/car/habit combinations! I included 2 sample answer keys-- one for a budget-friendly lifestyle and one for the most expensive lifestyle. Which will your students choose?</span></div></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">I made this project for high school students who are taking a consumer math class. It has also been added to the <a href="https://shopscaffoldedmath.com/products/scaffolded-consumer-math-curriculum" target="_blank"><span style="color: #2b00fe;">consumer math curriculum</span></a> into the budget folder. A few teachers have mentioned having looked it over and that they felt it would also work for middle school students. The math is all based on percentages, so if your students have already learned how to calculate percentages, the project should work for them, even if they are not yet in high school.</span></div><div><br /></div><div><br /></div><div><br /></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://shopscaffoldedmath.com/products/budget-project" target="_blank"><img alt="Budget Project" border="0" data-original-height="1056" data-original-width="1056" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjv9Kxo5ak8Vo-cJOjET68atRB6X6p77hdEKaxebINb25wDEHaCHpdNQZPhNNZRvYNAYICmQOKCTrR4nLP5hpQvLL_CFqF2eSyLAYonOzSWO9VjVRGf5dvA8K3dS0AfmogI4UaVs40GC1j4_oPVAk5mHN3s-4YkqYV1-57-hJbqgVni6FBFMHJ5N_ZJcr0/w320-h320/cover.png" title="Budget Project" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://shopscaffoldedmath.com/products/budget-project" target="_blank"><span style="color: #2b00fe;">Budget Project</span></a></td></tr></tbody></table><br /><div><br /></div><div><br /></div><div><br /></div><div style="text-align: center;"><span style="font-family: verdana;"><a href="https://shopscaffoldedmath.com/collections/consumer-math" target="_blank"><span style="color: #2b00fe;">Browse all Consumer Math</span></a></span></div><div style="text-align: center;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: center;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: center;"><span style="font-family: verdana;"><br /></span></div><div><br /></div></div></div></div>ScaffoldedMathhttp://www.blogger.com/profile/12991099683629425350noreply@blogger.com0tag:blogger.com,1999:blog-969821499728229660.post-18869584010882400552023-09-19T10:14:00.006-04:002023-11-13T11:40:11.030-05:00"What 2 Numbers?" Multiplication Facts Practice for Middle and High School Students<p style="text-align: center;"><span style="font-family: verdana;"></span></p><div class="separator" style="clear: both; text-align: center;"><span style="font-family: verdana;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgIw3ufX1uwkc55cG14FvucbXUe4gHFqjzgoWntnwzYl8MpHICLYWkwWHmIUtPDGKdR49wE0ijpCsuoAXtTmu1WpC-l83O-w4Rda42K3_GPwO0qAZD0xpFpuA848S62NF95idUO-rkzLKGiMCJuVa4-EHG8nJ8u9XSHP9n8NTjUMWictUKaQ3yYSqyXlm4/s1650/what%202%20numbers%20-%20multiplication%20fact%20practice%20for%20middle%20and%20high%20school%20students%201.png" style="margin-left: 1em; margin-right: 1em;"><img alt=""What 2 Numbers?" Multiplication Facts Practice for Middle and High School Students" border="0" data-original-height="1650" data-original-width="1650" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgIw3ufX1uwkc55cG14FvucbXUe4gHFqjzgoWntnwzYl8MpHICLYWkwWHmIUtPDGKdR49wE0ijpCsuoAXtTmu1WpC-l83O-w4Rda42K3_GPwO0qAZD0xpFpuA848S62NF95idUO-rkzLKGiMCJuVa4-EHG8nJ8u9XSHP9n8NTjUMWictUKaQ3yYSqyXlm4/w400-h400/what%202%20numbers%20-%20multiplication%20fact%20practice%20for%20middle%20and%20high%20school%20students%201.png" title="Multiplication facts practice for older students" width="400" /></a></span></div><span style="font-family: verdana;"><div><span style="font-family: verdana;"><br /></span></div>Do your middle or high school math students struggle with their multiplication facts? Do you wish there was an age-appropriate way for them to practice their multiplication facts without it feeling like they're practicing?</span><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><span><a name='more'></a></span>When I taught algebra 2, my students struggled with factoring because they had never learned all of their their multiplication facts. This lead to a lot of self-doubt and thinking that they couldn't do algebra, when really it was the multiplication getting in the way.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhSppwt3jt-jHhiYrNEzTlF297Eqppukae1ft930ChYPJ_xIS9WW99KOmOat26TJiAidQijTuzo8H-Xv8ffVrgdWB-nP2VAGNbMt1Wzm5GkhQIPOKJQa4SsA4OWRtuxoM57vNTgdShtHLQLoM8vGZ4CEdWSPUG2lRMa8bNOVBqnCvjHKkW3rWA1H4iO0M0/s1650/what%202%20numbers%20-%20multiplication%20fact%20practice%20for%20middle%20and%20high%20school%20students%202.jpg" style="margin-left: 1em; margin-right: 1em;"><img alt=""What 2 Numbers?" Multiplication Facts Practice for Middle and High School Students" border="0" data-original-height="1650" data-original-width="1650" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhSppwt3jt-jHhiYrNEzTlF297Eqppukae1ft930ChYPJ_xIS9WW99KOmOat26TJiAidQijTuzo8H-Xv8ffVrgdWB-nP2VAGNbMt1Wzm5GkhQIPOKJQa4SsA4OWRtuxoM57vNTgdShtHLQLoM8vGZ4CEdWSPUG2lRMa8bNOVBqnCvjHKkW3rWA1H4iO0M0/w400-h400/what%202%20numbers%20-%20multiplication%20fact%20practice%20for%20middle%20and%20high%20school%20students%202.jpg" title="132 multiplication fact practice cards" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">"What 2 Numbers?" is a set of 132 cards that cover multiplication facts 1-16. Each card presents multiplication as a puzzle: "What 2 numbers multiply to X that add to Y?" All numbers and answers are positive. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">The cards can be given to students as daily warm-ups, closers, partner challenges, or snuck into your curriculum wherever there's a little room to practice multiplication. You can even use the cards as extra practice during your factoring unit. The problems are all presented as puzzles to solve, so students won't even know they're being given extra multiplication practice! Includes answer key.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/What-2-Numbers-Multiplication-Facts-Practice-for-Middle-and-High-School-Math-10358961" target="_blank"><img alt=""What 2 Numbers?" Multiplication Facts Practice for Middle and High School Students" border="0" data-original-height="1056" data-original-width="1056" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhvfOw91M-g4rSMwgH4eow1qM7HZiT9kBlDjbpq9Kc4oqMgvok4SWUZ0343TvUE6V4sCvR0DwtXXvlbuwqKHglPLg2GMiJMYa1G-xZYoEBvd3vdKfkhFv4HHvl7R5U00cphr-a5JUf-517dKb4ROlE9tife7rWpa4Iulij6IMOAnHXtQHgHeR4ahTCfaaU/w320-h320/cover.png" title=""What 2 Numbers?" Multiplication Facts Practice for Middle and High School Students" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Product/What-2-Numbers-Multiplication-Facts-Practice-for-Middle-and-High-School-Math-10358961" target="_blank"><span style="color: #2b00fe;">What 2 Numbers? Multiplication Facts Practice for Older Kids</span></a></td></tr></tbody></table><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><i>For a version with negative numbers:</i> <a href="https://www.teacherspayteachers.com/Product/What-2-Numbers-w-NEGATIVES-Multiplication-Facts-for-Middle-High-School-Math-10369664" target="_blank"><span style="color: #2b00fe;"><i>What 2 Numbers? w/ NEGATIVES Multiplication Facts for Middle & High School Math</i></span></a></span></div><div><br /></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div style="text-align: center;"><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/What-2-Numbers-Digital-Math-Escape-Room-Activity-10497125" target="_blank"><img alt="What 2 Numbers? Digital Math Escape Room Activity" border="0" data-original-height="816" data-original-width="1248" height="261" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEipQF8FUYqr07_9DcKpzWGOi1w5FCnxmU3s-gWpYTWivgnCqxe8BkMwsmaZkYSIeMGiFk6L3V23k5irT5QiJmZKdihc0qAPt3aeNyuH0YJm5y9ObuAgy7u8VGYPIcVfhq1-fJg1fBeWrigD4n5a3TYYvm2mwNVV781kdXWUzZD-K14amyOsSagwktCiUYo/w400-h261/what%202%20numbers%20digital%20math%20escape%20room.jpg" title="What 2 Numbers? Digital Math Escape Room Activity" width="400" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Product/What-2-Numbers-Digital-Math-Escape-Room-Activity-10497125" target="_blank"><span style="color: #2b00fe;">What 2 Numbers? Digital Math Escape Room</span></a></td></tr></tbody></table><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">This <a href="https://www.teacherspayteachers.com/Product/What-2-Numbers-Digital-Math-Escape-Room-Activity-10497125" target="_blank"><span style="color: #2b00fe;">"What 2 Numbers? digital math escape room</span></a> is self-checking in Google Forms, and also comes with a printable version if you'd like your students to work on paper. There are 5 puzzles in total (20 questions) and every puzzle includes negative numbers.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><br /></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><b>You may also like:</b></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><a href="https://www.scaffoldedmath.com/2018/11/fun-activities-for-teaching-teens-financial-literacy.html" target="_blank"><span style="color: #2b00fe;">Fun Financial Literacy Activities</span></a></span></div><div><span style="font-family: verdana;"><br /></span></div><div><br /></div><div><span style="font-family: verdana;"><a href="https://www.scaffoldedmath.com/p/word-walls.html" target="_blank"><span style="color: #2b00fe;">Math Word Walls</span></a></span></div><div><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><a href="https://www.scaffoldedmath.com/2020/09/digital-math-escape-rooms.html" target="_blank"><span style="color: #2b00fe;">Digital Math Escape Rooms</span></a></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: left;"><span style="font-family: verdana;"><br /></span></div>ScaffoldedMathhttp://www.blogger.com/profile/12991099683629425350noreply@blogger.com0tag:blogger.com,1999:blog-969821499728229660.post-68543747811890627912023-09-17T12:15:00.009-04:002024-03-12T13:26:53.786-04:006th Grade Math Word Wall
<div style="text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://shopscaffoldedmath.com/products/6th-grade-math-word-wall" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Transform Your Bulletin Board into a 6th Grade Math Vocabulary Focus Wall" border="0" data-original-height="768" data-original-width="768" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjcH9CKLoggju1VIGQp8fvRsPf3HKM5G1L5pzlJWcgplBhSoGHB7y0t9N4bQw8ZpFNHmmeDEddr_QgzaBLnuvvhXrB2uVJggD_jbSSBeN2TvQd6aGdhVI1gXGq7WLzP--iwt8QbwHbqmKx9ck2MXtgaELA1bwqxIjaEhFpjq6z_D2gymICc6jw7jQEvx-A/w400-h400/math%20word%20wall%206th%20grade%20photo%204.png" title="6th grade math vocabulary focus wall" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><span style="font-family: verdana;">Are you looking for a way to support your 6th grade math students? In this post are just some of the visual 6th grade math vocabulary references included in a <a href="https://shopscaffoldedmath.com/products/6th-grade-math-word-wall" target="_blank"><span style="color: #2b00fe;">6th grade math word wall</span></a>. The math word wall has grown a lot over the years as I have added teacher requests, and now includes a printable color version, a printable black & white version, an interactive digital version in Google Slides, and printable Spanish vocabulary.</span><div><span style="font-family: verdana;"><br /></span><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><span><a name='more'></a></span><center><iframe allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/z5NFWSV0xzk" title="YouTube video player" width="560"></iframe></center></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">There's a lot more in this math vocabulary word wall for 6th grade than shown in this post. I wanted to highlight just a few of the many references.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><span><!--more--></span><a href="https://shopscaffoldedmath.com/products/6th-grade-math-word-wall" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Transform Your Bulletin Board into a 6th Grade Math Vocabulary Focus Wall" border="0" data-original-height="519" data-original-width="811" height="256" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjh4pzhxcY1aIHdgGhdo7blwzlUKxJaoIs1hqSKYSkad3L5ac_OtkvBrSWnLI1IWQfQJR5Yazj0EY98e3hhH7BwnUTe9yCBBQRl6348EGYLg28C2SiIElchGHgTPYalBmgyBB1Allv6OsCLfE0LbN7_SjUGe4TWrZpTSYkqWBhsSy6YLcFfz7YhlMRsJQk/w400-h256/math%20word%20wall%206th%20grade%20photo%209.png" title="mean median mod range box and whiskers plot vocabulary wall" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">Here's part of the 6th grade math word wall's data section showing mean, median, mode, range, mean absolute deviation, box plot, quartiles, interquartile range, dot plot, histogram and bar graph. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://shopscaffoldedmath.com/products/6th-grade-math-word-wall" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Skew math focus wall reference" border="0" data-original-height="1063" data-original-width="809" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEioK3V8bbdTwIoRYbMDFMfVdFJkbSDpgPlnj_kX1CMW_15kj9m62irn_2cTVaC_q-hEbo-ZeqVyPqOy842BweJvIjvvtJhnefY5kRYqJl0WOm4WYA29upwsqZ5-qNZXhrh54mo-kguzYr9uiBEfKuv97SFYUNaNcS0AozzZ2OEYYl1Ht9pgfd05Vq1OnSI/w305-h400/math%20word%20wall%206th%20grade%20photo%207.png" title="Skew math focus wall reference" width="305" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">Skew was a more recent teacher request. Here you can see the vocabulary right skew, left skew, no skew. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://shopscaffoldedmath.com/products/6th-grade-math-word-wall" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="how to transform a percent to a decimal" border="0" data-original-height="1192" data-original-width="864" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjieh7C5msuZl36otfB5ip7WMAJU509GIl46JCf0puy5p_3JD_PrW54AfoYxTRHtIPMjq_36Kf4OmqMllFx2njerqiTnyLQWDE7P5CVoabnQKPCgtLvpT4RiGV5AvxXkOyNlwtEARQIdCRFylnzvSARW6PIQLi8dkut7Hi3pTx_nsQoKDnRAw0zaJc9lcI/w290-h400/math%20word%20wall%206th%20grade%20photo%203.png" title="how to transform a percent to a decimal" width="290" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">Here are a couple simple references for converting a percent into a decimal. I hand-colored a lot of the references in this post. Every reference is also included in color in the 6th grade math word wall.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://shopscaffoldedmath.com/products/6th-grade-math-word-wall" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Nets on a 6th grade vocabulary focus wall" border="0" data-original-height="768" data-original-width="768" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh1JT-eyDAFRlWBoo1AGMTI_ewKlcEjgLo2ms18Can5jo2D-Jw7eQWxKsrwCibOQDPDB0xuIzWTpPQtBRCG9DbH-_xuLgN7EpGjlQ4N6PSPumHDzlHSdb3lBXeDNRpNEJ6Y2LYKusEhDH7s3bNzoyOD71NWZKe_WKVp-B-X60ARUZIX8yZOhEfE-tD64wU/w400-h400/math%20word%20wall%206th%20grade%20photo%205.png" title="Nets on a 6th grade vocabulary focus wall" width="400" /></a></div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">Nets were another teacher request. Here you can see the vocabulary references and nets for cube, triangular pyramid, right square pyramid, cylinder, rectangular prism, and triangular prism. I also hand-colored the b&w versions of these. They are also included in color if you have a color printer.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://shopscaffoldedmath.com/products/6th-grade-math-word-wall" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="stem and leaf references" border="0" data-original-height="1200" data-original-width="1200" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjLilD0H5FhQL4DqZyyAzQicetSmrGqQ92UzKDE3342mZxLK_zc5EyfB_49-H44e2qhYnw4DggmEYsTTm0zJpczU134C0c1ywYrmyReZAjuLpkTOb1Bsu8xcu_haKVASOrhZWgTvXdEA7jx3DiJIO0KSu5qJmKaw-qq4s-u6Gkg0BPiz70RPnjd9x-2xrg/w400-h400/math%20word%20wall%206th%20grade%20photo%208.png" title="stem and leaf references" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">Here are the references for stem and leaf plot and frequency table.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://shopscaffoldedmath.com/products/6th-grade-math-word-wall" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="supports for solving 1-step equations" border="0" data-original-height="530" data-original-width="314" height="508" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgAtH0aDBZhcnjlGTruERZ27z1WjPKTjg7h3G9nXGG3GHd3m4gH6yA4oPJLAJsBue0eCzskEsoI55q84ZQflDYGlx7wpvGrNtVRlU2I_vGwgkL-qRpJ1Bqa9f-EUg6VD0UFcdbtMn7-56IuU4xNHz_XkHGLJavYZqNqGK6NN7wpTHEqHe4sLHGT-bacCWs/w302-h508/math%20word%20wall%206th%20grade%20photo%202.png" title="supports for solving 1-step equations" width="302" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">These solving 1-step equations posters were the most recent addition to the 6th grade math word wall from a teacher request.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://shopscaffoldedmath.com/products/6th-grade-math-word-wall" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="fractions focus wall" border="0" data-original-height="760" data-original-width="760" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiezVCzA_jq7P_ebXNLogTESgqBiIGU2GNM07c2vMXAENB9ORndhvkH33lMaRLlnH6CkPGKEYctsFaAkRgEeOfKBqIKzEFsRHqqnmzUJiBrCIXM-8RyFTH0xW9Vnz36v26AgcXor5z4TAO5nQig-UWqip6eWhkEcNdIF2ouKCtnMrvo3kMoH3Yq7rPml5Y/w400-h400/math%20word%20wall%206th%20grade%20photo%201.png" title="fractions focus wall" width="400" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">There are posters in the math word wall for multiplying and dividing fractions using visual models, as well as references for the coordinate plane, ordered pair, independent variable and dependent variable.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://shopscaffoldedmath.com/products/6th-grade-math-word-wall" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="How to find GCF and LCM" border="0" data-original-height="762" data-original-width="768" height="398" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh6CC1s09CQwGmSEOWjAHcpKuaV-KPkowhE-k4i9F2QvKk3KmRo2qLhLx_tb6PQKv3XO4kw3Q3NURlQQ981N8JSXR4XhwrSIgPZ9IWvvpr6rYc8MTpl_DaG8NxSJnJtQip-Gy-aJJisfH01vwd_CnDJyHTS4F1L1x4jZIY1CgK8wyh45J-DaGFkCPmn2YI/w400-h398/math%20word%20wall%206th%20grade%20photo%206.png" title="How to find GCF and LCM" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">Here is another recent addition to the 6th grade math word wall for finding LCM and GCF. A ladder method reference is also included, if you prefer that method for teaching greatest common factor and least common multiple. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://shopscaffoldedmath.com/products/6th-grade-math-word-wall" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img border="0" data-original-height="348" data-original-width="600" height="233" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiUFHMsWOtgfiqaGkPf5PX8OmXQlPk2JCe5jM3PNuxs1vHtjqVNIgo4Hy9LHFtDcoFpfWur2NpljacJToPeDyNU2TAjEqdckFEhs7-ygRa84yp_bhdlBtDrRIE5uu82labBEghQoXL6JhBueoVFLBhNcOu2YzKkuZRlmg0xQTwwj-B3zSRmdmhCFBH1aPE/w400-h233/6th%20grade%20math%20word%20wall.gif" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">Here's a gif showing how the digital 6th grade math word wall works. Each image on the home screen clicks to a larger image. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">There is a short video <a href="https://www.youtube.com/shorts/z5NFWSV0xzk" target="_blank"><span style="color: #2b00fe;">here</span></a> showing more of what is included in the word wall.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">You can find the word wall for download here:</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://shopscaffoldedmath.com/products/6th-grade-math-word-wall" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="6TH GRADE MATH WORD WALL ON TPT" border="0" data-original-height="1008" data-original-width="1008" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg_ZAuqBbqoBxx0zNS_8tN_Pzrb6ayo9_CIiOwYcOXQqntO8_OQlQv3qtdea1hRP1wjW-m6c1xr5drSrjXQ_xtSxlmzo982L9IM8ICBhPcKuuZsnI1_WyaMDYG7MIoIxXaCzLnLPRQfRBxPAfsxFWYATuGJ8m4Y2tWfdk3FcrxPTFQ2mXyoHMucNXkMYQw/w320-h320/6th%20grade%20math%20word%20wall%20cover%20image.png" title="6TH GRADE MATH WORD WALL ON TPT" width="320" /></a></div></div><div style="text-align: center;"><span style="font-family: verdana;"><a href="https://shopscaffoldedmath.com/products/6th-grade-math-word-wall" target="_blank"><span style="color: #2b00fe;">6th grade math word wall</span></a></span></div><div style="text-align: center;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: center;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: center;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: center;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: center;"><span style="font-family: verdana;"><a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science/Category/MATH-WORD-WALLS-148595" target="_blank"><span style="color: #2b00fe;">Browse all math word walls</span></a></span></div><div style="text-align: center;"><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div>ScaffoldedMathhttp://www.blogger.com/profile/12991099683629425350noreply@blogger.com0tag:blogger.com,1999:blog-969821499728229660.post-89284619285390107902022-07-25T16:37:00.712-04:002024-03-15T12:34:41.802-04:00Scaffolded Consumer Math Curriculum for building financial literacy<p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://shopscaffoldedmath.com/products/scaffolded-consumer-math-curriculum" style="margin-left: 1em; margin-right: 1em;"><img alt="Scaffolded Consumer Math Curriculum" border="0" data-original-height="1125" data-original-width="1125" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiUFIrkzvq6iPaLIOuWmj-OGt5irGSc2Mi9dTGrmK3wpk7q0-ozI8GXYoHy5-GmkwK0lYRx_5mDZznKMfjfA5spOyV7Z4X2S5Qt3XQUQxEuH1Vt2up8sFZvbCtMGbXxXiFCGzxoA62jNd0oIV6x54yUfNo1Djf8jW-Nt03MBbTVY4070xV4Xo9xpMW4/w400-h400/consumermath.jpg" title="Scaffolded Consumer Math Curriculum" width="400" /></a></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;">How do I file a tax return? What is a credit score? How much of my paycheck will be withheld for taxes? How much rent can I afford?</span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;">I got a TON of questions just like these while teaching high school consumer math. Many of the questions were about things I had assumed my students would already know. But how would they know? My students were seniors and worried about life after high school. Understandable!</span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://shopscaffoldedmath.com/products/scaffolded-consumer-math-curriculum" style="margin-left: 1em; margin-right: 1em;"><img alt="The consumer math curriculum's student notebook sheets build an interactive notebook and match the student book." border="0" data-original-height="1000" data-original-width="1334" height="403" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhG3dztJM940Elf4U0A_eutRveRJG9Gauyz2Fin10sSmKgIVkN5yn-Gvf4IbLuueDsQr98KAeLs_Y_8hl8J3sjr-pkv5y2JZ0m-MSYpE5aFqkjswpeyum3R7jCdU7bY-SZD20bd4PgLLaefr92Nj7i6NplrFy-q0XaBmLfwiNUrxbVw5wkSyy21wbVn/w538-h403/SCMC%20student%20text%20and%20notebook.jpg" title="Scaffolded Consumer Math Curriculum - student notebook and student book" width="538" /></a></div><span style="font-family: verdana;"><div style="text-align: left;"><br /></div><div style="text-align: left;"><br /></div><div style="text-align: left;">When I taught consumer math there was no curriculum, and I spent a lot of time piecing the course together from materials found online. My students were all seniors with IEPs for mild to moderate disabilities in math/reading, so I needed to find accessible materials that were also age-appropriate and interesting. I wanted my students to enjoy building their personal financial literacy. In spring 2022, I decided to start building the consumer math curriculum I wished I had back then, and I'm happy to say that it is now available on my <a href="https://shopscaffoldedmath.com/products/scaffolded-consumer-math-curriculum" target="_blank"><span style="color: #2b00fe;">website</span></a>. </div><div style="text-align: left;"><br /></div><div style="text-align: left;"><br /></div><div style="text-align: left;">This new, printable consumer math curriculum is an approachable guide to building financial literacy for teens. It includes warm-ups, a student book, accompanying student notebook sheets, a teacher's book, PowerPoint projector notes, editable quizzes and all answer keys. The curriculum will answer all of your students' personal finance questions and more. </div><div style="text-align: left;"><br /></div><div style="text-align: left;"><span style="color: #674ea7;"><i></i><blockquote><i>"Hands-down, this is the best consumer math curriculum. Easy to use even if you don’t have the greatest understanding of certain concepts. Warms-ups for access to extra practice problems as well as walkthrough PowerPoints and much more. So thankful I got it! My students enjoyed learning each concept and were able to work through excellent real-world math problems making it relatable!” -</i>Teacher Jodi Staggers</blockquote><p><br /></p></span></div><div style="text-align: left;">Here's a short video overview of the student book and student notebook sheets. Please note that <u>2 additional units</u> have been added to the curriculum since the video-- a car insurance unit and a health insurance unit:</div><div style="text-align: left;"><br /></div></span><p></p><center><span style="font-family: verdana;"><iframe allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/gG06kYdI8wU?si=6Vzb459E5yCvGR0k" title="YouTube video player" width="560"></iframe></span></center><p><b><span style="font-family: verdana;"><br /></span></b></p><p><b><span style="font-family: verdana;">Units:</span><span style="font-family: verdana;"> </span></b></p>
<p></p><ul style="text-align: left;"><li><span style="font-family: verdana;">Wants vs. needs</span></li><li><span style="font-family: verdana;">Checks and registers</span></li><li><span style="font-family: verdana;">Wages and salary</span></li><li><span style="font-family: verdana;">Bank accounts</span></li><li><span style="font-family: verdana;">Budgets</span></li><li><span style="font-family: verdana;">Electronic banking and credit cards</span></li><li><span style="font-family: verdana;">Credit score</span></li><li><span style="font-family: verdana;">Discounts and coupons</span></li><li><span style="font-family: verdana;">Sales tax and tip</span></li><li><span style="font-family: verdana;">Percent change</span></li><li><span style="font-family: verdana;">Unit price</span></li><li><span style="font-family: verdana;">Income taxes*</span></li><li><span style="font-family: verdana;">Car loans</span></li><li><span style="font-family: verdana;">Mortgages</span></li><li><span style="font-family: verdana;">Student loans</span></li><li><span style="font-family: verdana;">Investing</span></li><li><span style="font-family: verdana; text-align: center;">Car insurance</span></li><li><span style="font-family: verdana; text-align: center;">Health insurance</span></li></ul><p></p><p><span style="font-family: verdana; text-align: center;"><i>*The income taxes unit is updated every year in January. Redownloads to get updates and additions are always free.</i></span></p><p><span style="font-family: verdana; text-align: center;"><i><br /></i></span></p><p><span style="font-family: verdana; text-align: center;"></span></p><blockquote style="text-align: left;"><span style="font-family: verdana; text-align: center;"><span style="color: #674ea7;"><i>"This Consumer Math curriculum is amazing. It is so well organized! I also used the activity bundle and this made a super year long course! I would highly recommend it!"</i> - Teacher Amy Field</span></span></blockquote><p><span style="font-family: verdana; text-align: center;"> </span></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://shopscaffoldedmath.com/products/scaffolded-consumer-math-curriculum" style="margin-left: 1em; margin-right: 1em;"><img alt="Scaffolded Consumer Math Curriculum" border="0" data-original-height="694" data-original-width="925" height="407" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj3ABh5yqlfqk50NxTQsmpl-8o20WPL10PTiemJ9hpPaoVr6Hr6Vlz5oABGUpNNy3eyjnUO06pHptGiEh1Z_UtW-VUkvHDWcyY88MGmPTfrA8DirE1eg8RoAti6SPWVZCrXt9vOLFYJ8Td1gwzCNBMWI06tgpQ3IS9dUgrPb9b3KC0u4-YWo1B8pgDZ/w540-h407/thumb%203.png" title="Scaffolded Consumer Math Curriculum" width="540" /></a></div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><b><br /></b></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><b>Files included: </b></span></div><div class="separator" style="clear: both; text-align: left;"><ul style="text-align: left;"><li><span style="font-family: verdana;">Student book (199 pages) </span></li><li><span style="font-family: verdana;">Teacher’s book (203 pages) </span></li><li><span style="font-family: verdana;">Student notebook sheets (122 half sheets)</span></li><li><span style="font-family: verdana;">PowerPoint projector notes </span></li><li><span style="font-family: verdana;">Editable quizzes for each unit (18 quizzes) </span></li><li><span style="font-family: verdana;">Warm-ups for each unit</span></li><li><span style="font-family: verdana;">All answer keys </span></li></ul><div><span style="font-family: verdana;"><br /></span></div></div><div class="separator" style="clear: both; text-align: left;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEioW-49oSZJ7ox3oiFBDIwFh__qguWoIxKgY7dkUF-D-bux7qcrMwAu2D9ElJB-58GBvvEyWEzz8GNNA2PKqy0-LDmh6J9_AwzumkfbvLK4qwrj4wkz9H54BBocOkeTsJS4YbNCCWHL80kQAz3H7GnuicExAbKgeURUCu5Z0dix6ibUijqHmL6GIuqq/s926/taxes.png" style="margin-left: 1em; margin-right: 1em;"><img alt="Scaffolded Consumer Math Curriculum - income taxes unit" border="0" data-original-height="694" data-original-width="926" height="407" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEioW-49oSZJ7ox3oiFBDIwFh__qguWoIxKgY7dkUF-D-bux7qcrMwAu2D9ElJB-58GBvvEyWEzz8GNNA2PKqy0-LDmh6J9_AwzumkfbvLK4qwrj4wkz9H54BBocOkeTsJS4YbNCCWHL80kQAz3H7GnuicExAbKgeURUCu5Z0dix6ibUijqHmL6GIuqq/w542-h407/taxes.png" title="Scaffolded Consumer Math Curriculum - income taxes unit" width="542" /></a></div><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><b style="font-family: verdana;"><br /></b></div><div class="separator" style="clear: both; text-align: left;"><b style="font-family: verdana;">Details: </b></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;">The <u>student book</u> is a reference that includes vocabulary, examples and questions for students to answer. You can choose to print the entire student book at once, or each unit at a time for student packets or their binders. Both formats are included.</span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;">The <u>student notebook sheets</u> are half-sheets designed for an interactive notebook. The sheets provide space for students to answer the questions posed in the book, and also include additional analysis questions. Students paste these notebook sheets into a composition notebook, which then becomes their own personal finance reference.</span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;">The <u>teacher’s book</u> and <u>student notebook sheets answer key</u> include all answers to all questions presented in the student book and the extra analysis questions on the student notebook sheets.</span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;">The <u>projector notes</u> match the student notebook sheets so that you can complete notes along with your students on the board.</span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;">The <u>quizzes</u> are completely editable. <u>Quiz answer keys</u> are included for all quizzes and are also editable.</span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;">The <u>warm-ups</u> for every unit are formatted for student notebooks.</span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: center;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: center;"><a href="https://shopscaffoldedmath.com/products/scaffolded-consumer-math-curriculum" style="margin-left: 1em; margin-right: 1em;"><img alt="Scaffolded Consumer Math Curriculum" border="0" data-original-height="718" data-original-width="957" height="402" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjNl_p_1OF8CfF-lDemkvOGme5T84k-RIzmaBS_lRZOU6u6K_PTmSS96DS0rAGGixX9rOk4BhhqmFtUfZuq6e5uA01DKyOthkTrqfqvhB_6arSQKoFCkLzVP6z3vS_I_xThhz-DuqwoYoYNhvcluGevg2ANojvWg14fFK5KAdMsls5f82obo6zmZYur/w536-h402/scaffolded%20consumer%20math%20curriculum%20interactive%20notebook.png" title="Scaffolded Consumer Math Curriculum" width="536" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: left;"><i style="font-family: verdana;"><br /></i></div><div class="separator" style="clear: both; text-align: left;"><i style="font-family: verdana;">FAQs:</i><span style="font-family: verdana;"> </span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;"><b style="font-family: verdana;">Who is this curriculum for? </b></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;">I wrote this consumer math curriculum for high school students who may have mild to moderate disabilities in math and/or reading. These are the students I taught when teaching consumer math and who I feel will benefit most from this curriculum. </span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><b>Can it work for younger students? </b></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;">If your students have already been introduced to percents, this consumer math curriculum may work for them. However, I feel that high school students will be more invested in learning the material as it answers the questions they currently have about their personal finances. </span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><b>Do you have a printout that I can give to my admin for approval? </b></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;">Yes, you can find a printout <a href="https://drive.google.com/file/d/1-ZVhxo874aKO7Smdw92hOdBN2N43wSHg/view?usp=sharing" target="_blank"><span style="color: #2b00fe;">here</span></a> for your administrator. </span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><b>Do you have a preview of the curriculum?</b></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;">A preview file can be found <a href="https://drive.google.com/file/d/1hvxIgLJNVuGQnaiqb871cvTxYV3yafrS/view?usp=drive_link" target="_blank"><span style="color: #2b00fe;">here</span></a>.</span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><b>Will the curriculum be sent in the mail?</b></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;">No, this curriculum is a set of PDF and PowerPoint files. Nothing will be sent in the mail.</span></div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><b>How many licenses do I need? </b></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;">The curriculum is licensed for 1 single teacher to use with his or her students year after year.</span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><b>I homeschool. Will this work for me? </b></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;">Yes, homeschooling families are using this curriculum. The curriculum works well in both a classroom setting and in a homeschool setting.</span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><b>Is it available on TPT? </b></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;">No, this curriculum is not available on TPT.</span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><b>Do you have a list of standards? </b></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;">This curriculum covers the following National Standards for Personal Financial Education: </span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><u>Earning Income</u>: wages and salary, gross pay, exact net pay, approximating net pay, pay schedules, tips, earning interest, retirement savings, 401(K) employer matching, filing income taxes, tax deductions, wage theft, insurance </span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><u>Spending</u>: budgeting, keeping a register, comparing unit prices, sales tax, discounts, coupons </span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><u>Saving</u>: savings, checking, money market accounts, CDs, simple interest, compound interest, pre- and post-tax retirement accounts </span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><u>Investing</u>: risk vs. reward, stock market, bonds, retirement accounts, diversifying</span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><u>Credit</u>: credit card interest, credit card choices, credit score, credit report, minimum payments, APRs, down payments, car loans, mortgages, amortization schedules, student loan interest, student loan choices, deferment, forbearance, capitalizing interest </span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><b>Will the curriculum be updated?</b></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;">Yes, the income taxes unit will be kept current each year. Additional units and supplemental projects or other materials may also be added. Redownloads to get updates and additions are free.</span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><b>Do you accept school purchase orders?</b></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;">Yes, purchase order information can be found <a href="https://shopscaffoldedmath.com/pages/p-o-s" target="_blank"><span style="color: #2b00fe;">here</span></a>.</span></div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;">With everything you need in one place, this consumer math curriculum will make teaching the course easy for you and enjoyable for your students. </span><span style="font-family: verdana;">Consumer math is such an important and fun course to teach, and I hope that your students thoroughly enjoy building their financial literacy with you! </span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;">Please send me an email to shana@scaffoldedmath.com if you have any questions.</span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;">The Scaffolded Consumer Math Curriculum is available for download <a href="https://shopscaffoldedmath.com/products/scaffolded-consumer-math-curriculum"><span style="color: #2b00fe;">here</span></a>.</span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: center;"><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://shopscaffoldedmath.com/products/scaffolded-consumer-math-curriculum" target="_blank"><img alt="Scaffolded Consumer Math Curriculum" border="0" data-original-height="732" data-original-width="732" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjhnz4tFRPraEGk10hf_HtuUCTirANvUvQZGm6zh-gXP3DEkty34wlV99t2o4fq3PfpJJew3CWtbngpn-cNmjYTSH4fCcL7y3xKmziL8xOFJJRfmMr54EzDnNyHvfF_9anV41hQkUyTWAvKnKag2VM9LO8QGs6MQVxcDniuYWabfSuv0LUEedD6ZvzM/w320-h320/consumer%20math%20curriculum.png" title="Scaffolded Consumer Math Curriculum" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://shopscaffoldedmath.com/products/scaffolded-consumer-math-curriculum" target="_blank"><span style="color: #2b00fe;">consumer math curriculum</span></a></td></tr></tbody></table></div><center><div style="text-align: center;"><br /></div><div style="text-align: left;"><br /></div><div style="text-align: left;"><br /></div><div style="text-align: center;"><a href="https://shopscaffoldedmath.com/collections/consumer-math" target="_blank"><span style="color: #2b00fe;">Browse all consumer math</span></a></div><div style="text-align: left;"><span style="text-align: left;"><br /></span></div><div style="text-align: left;"><span style="text-align: left;"><br /></span></div><div style="text-align: center;"><span style="text-align: left;"><a href="https://www.facebook.com/groups/consumermath" target="_blank"><span style="color: #2b00fe;">Join the Facebook group</span></a></span></div><div style="text-align: left;"><span style="text-align: left;"><br /></span></div><div style="text-align: left;"><span style="text-align: left;"><br /></span></div><div style="text-align: left;"><span style="text-align: left;"><br /></span></div><div style="text-align: left;"><span style="text-align: left;"><br /></span></div><div style="text-align: left;"><span style="text-align: left;"><br /></span></div></center></span></div>ScaffoldedMathhttp://www.blogger.com/profile/12991099683629425350noreply@blogger.com10tag:blogger.com,1999:blog-969821499728229660.post-23312163569631843182022-07-24T19:59:00.014-04:002023-11-02T21:02:56.087-04:00Self-Checking Algebra Escape Room Activities<p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEie0FrPOk9bEuyTwozICTmQliDW4h8qYqGnm3PxbpW1PtE4DZYc75FRQygTlTnu6ZDCFUfCY9V4PdaysSS1_IKUBu4h6KBwz7rEruEAtAr-heYpB2Q3qA4kmq9yy2Qm_PxkDsKUVoH6mlzhGdHJDyFVNyxzqMAQ4zYVAbT6ABvA_oEOBiQCc4ggnSIyPss/s989/algebra%20escape%20rooms.png" style="margin-left: 1em; margin-right: 1em;"><img alt="Algebra Escape Rooms" border="0" data-original-height="989" data-original-width="960" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEie0FrPOk9bEuyTwozICTmQliDW4h8qYqGnm3PxbpW1PtE4DZYc75FRQygTlTnu6ZDCFUfCY9V4PdaysSS1_IKUBu4h6KBwz7rEruEAtAr-heYpB2Q3qA4kmq9yy2Qm_PxkDsKUVoH6mlzhGdHJDyFVNyxzqMAQ4zYVAbT6ABvA_oEOBiQCc4ggnSIyPss/w389-h400/algebra%20escape%20rooms.png" title="Algebra Escape Rooms" width="389" /></a></div><br /><p><span style="font-family: verdana;">Algebra is so fun to teach, and learning algebra helps students build their problem-solving and critical thinking skills. Witnessing students' "aha" moments and their new understanding of abstract concepts throughout the school year is incredibly rewarding as an algebra teacher. </span></p><p><br /></p><p><span style="font-family: verdana;">With all this being said, <a href="https://shopscaffoldedmath.com/collections/algebra" target="_blank"><span style="color: #2b00fe;">learning algebra</span></a> can be hard for some kids. One of the big hurdles I saw students face in algebra was the transition from being able to solve math problems in their heads to needing to write everything down because of the multiple steps in algebra. Students who equated being “smart in math” with being able to solve problems mentally can struggle with feelings of inadequacy. Part of my job as an algebra teacher was to break this connection between mental math and being a math person. After all, we wouldn’t know about Albert Einstein’s work if he never wrote anything down. </span></p><p><span style="font-family: verdana;"><br /></span></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJRp9CP9DQfJW7JDskuMR0deR3HK38Rn8CKaqE5FhifU6pagkqx4t6CwiM3YtkljylOQZIkU2HQ_0jsCBGnYcKBKP8LjvC7UH9cyQQ1P1wN3lotGdMkaHa_u9NkA1Q5T1HttWJ5ANjkvjX0kwsFjdVFqKqaFhMIGu4fx4XS0wrbrAnJ3uCSkgKfmnrqoE/s1056/Albert%20Einstein.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1056" data-original-width="816" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJRp9CP9DQfJW7JDskuMR0deR3HK38Rn8CKaqE5FhifU6pagkqx4t6CwiM3YtkljylOQZIkU2HQ_0jsCBGnYcKBKP8LjvC7UH9cyQQ1P1wN3lotGdMkaHa_u9NkA1Q5T1HttWJ5ANjkvjX0kwsFjdVFqKqaFhMIGu4fx4XS0wrbrAnJ3uCSkgKfmnrqoE/w309-h400/Albert%20Einstein.png" width="309" /></a></div><p style="text-align: center;"><br /></p><p><span style="font-family: verdana;"><span></span></span></p><a name='more'></a><span style="font-family: verdana;">Ninth graders have a lot of energy, and seem to enjoy out-of-their-seats algebra activities. Station activities and scavenger hunts are great for this. Students are up out of their seats, walking the room with their clipboards, pencils and calculators solving problems with their friends. What’s not to love? By 11th grade this all changes and students would rather do desk work. “Miss, can you bring that paper to our table?” Hmm, but just two years ago you were itching to walk around! Teenagers are funny.</span><p></p><p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><br /></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/Quadratic-Word-Problems-Digital-Math-Escape-Room-Activity-6611431" target="_blank"><img alt="Quadratic word problems digital math escape room" border="0" data-original-height="816" data-original-width="1248" height="209" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEihgV4hq0ZLtVFVacKIhc3y_OygGYBD8QyMSz2J066Ia34GE1qxv093azLPFzUO0xc2ukiHXduUAzGD0n8UklNf57UlwiVaiWFnWMDS93Sf0IXm-g6AywSnC0uYbiXeIYvVfZXt26g4E9Vtc6sm6pRUXynw2Q7QWWLp8CcpaXYlHOTw3fUXAzb-BDYaRIA/w320-h209/quadratic%20word%20problems%20digital%20math%20escape%20room.png" title="Quadratic word problems digital math escape room" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Quadratic-Word-Problems-Digital-Math-Escape-Room-Activity-6611431" target="_blank"><span style="color: #2b00fe;">Quadratic word problems digital math escape room</span></a></td></tr></tbody></table><br /><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;">In this post, I want to show you one of the interactive algebra activities I’ve been working on—<a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science/Category/Digital-Math-Escape-Rooms-472763/Search:algebra" target="_blank"><span style="color: #2b00fe;">algebra escape rooms</span></a>. Each now comes in both printable PDF and digital form in the same file. The digital versions are the original versions and are self-checking in Google Forms. The new printable versions work great as group activities and when students just need to walk around. </span></p><p><span style="font-family: verdana;"><br /></span></p><h3 style="text-align: center;"><span style="font-family: verdana;"><b>Printable algebra escape rooms </b></span></h3><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">The printable algebra escape rooms work a lot like scavenger hunts. Students solve the 4 problems in a puzzle, write down their 4-letter code, then check the NEXT STEP box to see which puzzle to visit next. There are 5 puzzles to visit in each algebra escape room activity. </span></p><p><span style="font-family: verdana;"><br /></span></p><p></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science/Category/9632-Digital-Math-Escape-Rooms-472763/Search:algebra" target="_blank"><img alt="Printable algebra escape room - composing functions" border="0" data-original-height="3024" data-original-width="4032" height="300" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjCoPxNtuVZ818NxsFHu-7ir7S5v806Ax4MpzqhL2IRw2PmLuFjWaOQf_LbcMnxPQWOrS6rUkj0JJrC5TicHwT84IZWdyXezuDXEdT0meRI-nR2ybM-vXNtFFyvi3zucl9R-2GEx6ok2dJeKYWbkN_i0MzmN_QKNG-3KVWSqkDGgLilr4xxq9usKxaS3Ho/w400-h300/composing%20functions%20algebra%20escape%20room.jpg" title="Printable algebra escape room - composing functions" width="400" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science/Category/9632-Digital-Math-Escape-Rooms-472763/Search:algebra" target="_blank">composing functions escape room</a></td></tr></tbody></table><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">Over the years, I have heard from teachers who didn’t have access to computers, wanted days without computers (love that idea) and had students with print-only accommodations who wanted printable versions of the escape rooms. So I added the printable PDF versions to meet these needs. </span></p><p><br /><u style="font-family: verdana;"><br /></u></p><p><u style="font-family: verdana;">How to use the printable algebra escape rooms</u><span style="font-family: verdana;">: </span></p><p><span style="font-family: verdana;"><b>1: </b>I'd recommend printing a few copies of the escape room. If a student group has completed one puzzle, then they don’t have to go idle waiting for their next puzzle to open up. </span></p><p><span style="font-family: verdana;"><b>2: </b>Each student gets their own answer sheet. Student directions are printed on their answer sheet, though they may need a nudge to read the directions. </span></p><p><span style="font-family: verdana;"><b>3: </b>Scatter the puzzles around your classroom. You can put them on tables or tape them to the walls, whichever you prefer. </span></p><p><span style="font-family: verdana;"><b>4:</b> Break students into pairs or small groups, depending on which you prefer and which works best for your class. </span></p><p><span style="font-family: verdana;"><b>5:</b> Start each group at a different puzzle. There are 5 puzzles in each escape room. When a group finishes one puzzle, they go on to their next.</span></p><p><span style="font-family: verdana;"><b>6:</b> Students get solving! </span></p><p><u style="font-family: verdana;"><br /></u></p><p><u style="font-family: verdana;"><br /></u></p><p><u style="font-family: verdana;">Benefits of the <b>printable</b> algebra escape rooms</u><span style="font-family: verdana;">: </span></p><p><span style="font-family: verdana;">By working together, students are building their collaboration skills. This collaboration builds teamwork and allows students to learn from one another. Walking around the room visiting each new puzzle also builds in movement that this age group tends to like.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><br /></span></p><h3 style="text-align: center;"><span style="font-family: verdana;"><b>Digital algebra escape rooms </b></span></h3><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">The original versions of the algebra escape rooms are self-checking Google Forms. They are simple to assign and require correct 4-letter code to move on to the next puzzle. There are 3,024 different possible 4-letter codes made from the 9-letter grid, so the chance that a student will guess a code without doing the work is slim. </span></p><p><span style="font-family: verdana;"><br /></span></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science/Category/9632-Digital-Math-Escape-Rooms-472763/Search:algebra" target="_blank"><img alt="digital algebra escape room - self-checking Google Form" border="0" data-original-height="564" data-original-width="590" height="474" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh5ryYUg3NSuQbAtryr4SinVMwRLXGV19Ur1aiax6LqyvLOlva_cw0XJwRtyFVlNfetl05eOXTNDeqq8miHd_MNOrEddaHR2jp4R_79Dgoz9NlJjvOnOn177hu-pIj_Vura8UrQqGnZnPPyT_TMH5Dx7OV7Jr9vPbrlaCqRWQhR-AQCiLcjM_KeH7nex5Y/w495-h474/algebra%20escape%20room%20gif.gif" title="digital algebra escape room - self-checking Google Form" width="495" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science/Category/9632-Digital-Math-Escape-Rooms-472763/Search:algebra" target="_blank">Composing functions escape room</a></td></tr></tbody></table><p style="text-align: center;"><br /></p><p><span style="font-family: verdana;">Students can work together in pairs or groups, or they can work independently, depending on your preference and what works best for your students.</span></p><p><span style="font-family: verdana;"><br /></span></p><p></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science/Category/9632-Digital-Math-Escape-Rooms-472763/Search:algebra" target="_blank"><img border="0" data-original-height="816" data-original-width="1248" height="261" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgSyhlu01VYXmca5Gh9y2nnjSwISvTHQCPI7GQQqOTB_o2KGB2J9aETkca9cO7EKzHxBJeUD-Ekz-9M03OjDea7kbGHlA8THl3rrbSYm4HuX4ugbjO_CZzDddeLUOcBaLxbiuV_YasLDJUe6JeaxgZOBoBqXrOP9s7Vaw5895e5qZ7ntbNe6vscDIOJM0k/w400-h261/digital%20algebra%20escape%20rooms%20composing%20functions%20puzzle%201.png" width="400" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science/Category/9632-Digital-Math-Escape-Rooms-472763/Search:algebra" target="_blank">Composing functions escape room</a></td></tr></tbody></table><br /><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;"><u>Benefits of the <b>digital</b> algebra escape rooms</u>: </span></p><p><span style="font-family: verdana;">The self-checking aspect eliminates your need to grade. You can go back into the Responses tab of the Google Form in you Google Drive to see who successfully solved all 5 puzzles. </span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">Incorporating self-checking algebra escape room activities into the routine lets students work together to reach a common goal and gives them that instant feedback they crave. By combining the thrill of an escape room with algebraic problem-solving, you can engage and motivate your students while reinforcing key concepts. These activities foster teamwork, critical thinking, and independence, all of which are vital skills for success in algebra and beyond. </span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><b>Both</b> the printable and the digital escape rooms are in the <b>same files</b> so that you always have access to both.</span></p><p><span style="font-family: verdana;"><br /></span></p><p></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/Digital-Math-Escape-Room-Bundle-for-Algebra-6934758" target="_blank"><img alt="Digital Math Escape Room Bundle for Algebra" border="0" data-original-height="989" data-original-width="960" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg6IsrXmBvIdslJgg3waedET8RT2DATqIZQG4bFOSThUp6g3keIn1-N19GENdofbSffZqZ_wovhcokg6C0CHwyFvy6XhsuA30pWqaJVDtQ96vejret3Gx7iECKL6zYNWUR0KS0OHzO-tB0oWqYuMcDV5099cY_kzRBtxDT7zDsy5OoSmAnZbDf51uXesuA/w311-h320/algebra%20escape%20room%20bundle.png" title="Digital Math Escape Room Bundle for Algebra" width="311" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Digital-Math-Escape-Room-Bundle-for-Algebra-6934758" target="_blank"><span style="color: #2b00fe;">Digital Math Escape Room Bundle for Algebra</span></a></td></tr></tbody></table><br /><div style="text-align: center;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: center;"><span style="font-family: verdana;">(Bundle includes both printable and digital escape rooms)</span></div><p></p><p><span style="color: #674ea7; font-family: verdana;"><i><br /></i></span></p><p><span style="color: #674ea7; font-family: verdana;"><i>"I LOVE THESE. They are easy to use for students and teachers. They are great review and / or assessment tool. They're my favorite to use after reviewing for a "homework" grade. I know if they can get to the end of it they understood what we were doing."</i> — Morgan M.</span></p><p><span style="color: #674ea7; font-family: verdana;"><br /></span></p><p><span style="color: #674ea7; font-family: verdana;"><i>"My students love working through the escape rooms! It is a fun and engaging activity that I like to leave when I have a substitute or if classes are shortened due to weather delays. They become so competitive when working through the puzzles but that allows for great math conversations."</i> — Kelley N.</span></p><p><br /></p><p><span style="color: #674ea7; font-family: verdana;"><span style="color: #674ea7; font-family: verdana;"><span style="font-family: verdana;"><span style="font-family: verdana;"><br /></span></span></span></span></p><p style="text-align: center;"><span style="color: #674ea7; font-family: verdana;"><span style="color: #674ea7; font-family: verdana;"><span style="font-family: verdana;"><span style="font-family: verdana;"><a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science/Category/Digital-Math-Escape-Rooms-472763" target="_blank"><span style="color: #2b00fe;">Browse all digital math escape rooms on TPT</span></a></span></span></span></span></p><p><span style="color: #674ea7; font-family: verdana;"><span style="color: #674ea7; font-family: verdana;"><span style="font-family: verdana;"><br /></span></span></span></p><p><span style="color: #674ea7; font-family: verdana;"><span style="color: #674ea7; font-family: verdana;"><span style="font-family: verdana;"><span style="font-family: verdana;"><br /></span></span></span></span></p><p><span style="color: #674ea7; font-family: verdana;"><span style="color: #674ea7; font-family: verdana;"><span style="font-family: verdana;"><br /></span></span></span></p><p></p><p></p><p></p>ScaffoldedMathhttp://www.blogger.com/profile/12991099683629425350noreply@blogger.com0tag:blogger.com,1999:blog-969821499728229660.post-21885603070668438222022-07-23T20:25:00.000-04:002023-09-26T21:42:03.308-04:007 Fun Activities for Teaching Integers<div style="text-align: center;"><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhxBoDvs_BNN24cUUbbOwn4ru78C17TuvkFy-18T1EiusDL3GoKKrhisTlMOXeF0d05EihTVA1oCrfWjE4jH-qi739D_sfcbY1yNSR-r6HV1kVBHvNo1osWyvU8gWyzCyvKoXAkItJoze1T_ScgEg4Z34gOc2KB5fP8PdWBQ7kTbFo5PFLyMKqwOlDB8Tk/s940/integers.png" style="margin-left: 1em; margin-right: 1em;"><img alt="7 Fun Activities for Teaching Integers" border="0" data-original-height="493" data-original-width="940" height="210" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhxBoDvs_BNN24cUUbbOwn4ru78C17TuvkFy-18T1EiusDL3GoKKrhisTlMOXeF0d05EihTVA1oCrfWjE4jH-qi739D_sfcbY1yNSR-r6HV1kVBHvNo1osWyvU8gWyzCyvKoXAkItJoze1T_ScgEg4Z34gOc2KB5fP8PdWBQ7kTbFo5PFLyMKqwOlDB8Tk/w400-h210/integers.png" title="7 Fun Activities for Teaching Integers" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><span style="font-family: verdana;">Integers seem to follow students as they move through middle school to high school. Especially with adding and subtracting integers, the "rules" are vague, and students really need to develop a conceptual understanding of what's going on when working with these tricky numbers. In this post are a bunch of integer activities that will help foster deeper understanding or integers while also being fun. </span><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">Whether you're introducing the concept of integers or looking to reinforce student understanding, the activities in this post have you covered.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><span><a name='more'></a></span><div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/Adding-Integers-Puzzle-Activities-print-and-digital-7625748" target="_blank"><img alt="Adding Integers Puzzles" border="0" data-original-height="960" data-original-width="960" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjkKhl9JsPuRNyKoJXP7vB6upHmLQg9ZgrSJOz6E79FDFBQ5RG7tjT4T-xNHMSbmEX9UW3ex2AZ2k9STNZeUuA9PpiDYnI0U4_cu6emMhcMC57If4BI6Sz_gpMqq-4uxq0vxsXqOpk6xfk6ouBc10ZoWGRfdZo7aAxw8shsd-iR75KSFtZeGJMrfj2kY3I/w320-h320/integers%20puzzles.png" title="Adding Integers Puzzles" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Adding-Integers-Puzzle-Activities-print-and-digital-7625748" target="_blank"><span style="color: #2b00fe;">Adding Integers Puzzles</span></a></td></tr></tbody></table><br /></div><div><span style="font-family: verdana;">1. <b>Adding Integers Puzzles</b>: These interactive puzzles turn integer addition into an exciting challenge, encouraging students to think critically and solve problems in a creative way.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/Adding-Integers-Puzzle-Activities-print-and-digital-7625748" target="_blank"><img alt="Multiplying and Dividing Integers Math Pennant Activity" border="0" data-original-height="960" data-original-width="960" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjKR9_4LXJPolnet41RHxUiTIQvfwb5u4XpQJAo36AGBN83NiG4bKBlWfCsKd1Dz731LqWaYWd32_z5f24aObCs9lYNUI-2EDTEvRGZE-nUsSisKYBHLPPBQrHQUzAWFwn4AWQQhf_nSwudkE_XO7YgsRK8yjUQHhxMMayhSgJpxhk3P1ryIitwx5el_Lk/w320-h320/multiplying%20and%20dividing%20integers%20pennant.png" title="Multiplying and Dividing Integers Math Pennant Activity" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Multiplying-and-Dividing-Integers-Math-Pennant-Activity-2979271" target="_blank"><span style="color: #2b00fe;">Multiplying and Dividing Integers Math Pennant Activity</span></a></td></tr></tbody></table><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">2. </span><b style="font-family: verdana;">Multiplying and Dividing Integers Math Pennant Activity</b><span style="font-family: verdana;">: Math pennants are a fun way to combine student work with classroom décor. Students solve 3 integer multiplication or division problems on each pennant to show what they know. Their finished work becomes a student work display.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/Adding-and-Subtracting-Integers-Solve-n-Check-Math-Tasks-print-and-digital-5021507" target="_blank"><img alt="Adding and Subtracting Integers Solve 'n Check Tasks" border="0" data-original-height="1056" data-original-width="1056" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnjwlh0S-7AsUCM1ECXYNgrLFD6nPt1z0mlkd4Q4fyyEtGWh9N3V2T616QjGEvFt9fCnx-tThJrIm4KuiKSxiuep6ngJWyMKIKnlfDo5psf5P8Q5Ra8meRpzbNYfXmKbWJ2aqLKd-R-xyPeTVNy-AHILH4kSqre91H2ICHDE_aGPXlV_3zNWbx64IcZ7c/w320-h320/adding%20and%20subtracting%20integers%20solve%20n%20check%20math%20tasks.png" title="Adding and Subtracting Integers Solve 'n Check Tasks" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Adding-and-Subtracting-Integers-Solve-n-Check-Math-Tasks-print-and-digital-5021507" target="_blank"><span style="color: #2b00fe;">Adding and Subtracting Integers Solve 'n Check Tasks</span></a></td></tr></tbody></table><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">3. </span><b style="font-family: verdana;">Adding and Subtracting Integers Solve 'n Check Tasks</b><span style="font-family: verdana;">: These math task cards are self-checking, even in their print form. Students add and subtract integers, then check their answers against each card's check number. If the number matches their answer, chances are they solved the card's problems correctly. </span><a href="https://www.scaffoldedmath.com/2020/01/solve-n-check-self-checking-math-task-cards.html" style="font-family: verdana;" target="_blank"><span style="color: #3d85c6;">Read more about solve 'n check tasks</span></a><span style="font-family: verdana;">.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/Adding-and-Subtracting-Integers-Partner-Scavenger-Hunt-print-and-digital-4022923" target="_blank"><img alt="Adding and Subtracting Integers Partner Scavenger Hunt" border="0" data-original-height="960" data-original-width="960" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj_xhmD8Lwjeg8-o-TjDyObL2CTlSP2fFJnf0D0ObqugrvPkoGT-QwWO-_KZRh4TLzG5cBQ4zaFPCphY7sWdh3fG1xX14uZkjcfzk1KsgdDz28TLKbXWvD7PcILauGdNH_O_kIXMvfszk3_L7PgTcbV-UbA7saHb-bl29BLxnlYbg-CXJDYyBelRsEyfz4/w320-h320/adding%20and%20subtracting%20integers%20partner%20scavenger%20hunt.png" title="Adding and Subtracting Integers Partner Scavenger Hunt" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Adding-and-Subtracting-Integers-Partner-Scavenger-Hunt-print-and-digital-4022923" target="_blank"><span style="color: #2b00fe;">Adding and Subtracting Integers Partner Scavenger Hunt</span></a></td></tr></tbody></table><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">4. </span><b style="font-family: verdana;">Adding and Subtracting Integers Partner Scavenger Hunt</b><span style="font-family: verdana;">: Each partner's problems are different but their answers are the same, encouraging collaboration and math talk. </span><a href="https://www.scaffoldedmath.com/2018/03/math-partner-scavenger-hunts.html" style="font-family: verdana;" target="_blank"><span style="color: #3d85c6;">Read more about partner scavenger hunts</span></a><span style="font-family: verdana;">.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/Ordering-Integers-Math-Pennant-Activity-3232663" target="_blank"><img alt="Ordering Integers Math Pennant Activity" border="0" data-original-height="960" data-original-width="960" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgAUfhRoQnQz01NEwwz7o5lQ8SS5ZD7WVYwFE8p_VGwwzqKSxva5AYfIPfR7MWKYgAK_H-8T3oa5vItLnADymXTMy-hhXc1lcl-96QdS6Q0RWhVg6dD6JLlDSWgLOT8B7ieUG1ZJw027JR6uQ28AA5WwadxultginCyAfcAacMS2uBcWb5ANLsLWfWRBhc/w320-h320/ordering%20integers%20math%20pennant%20activity.png" title="Ordering Integers Math Pennant Activity" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Ordering-Integers-Math-Pennant-Activity-3232663" target="_blank"><span style="color: #2b00fe;">Ordering Integers Math Pennant Activity</span></a></td></tr></tbody></table><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">5. </span><b style="font-family: verdana;">Ordering Integers Math Pennant Activity</b><span style="font-family: verdana;">: Students cut and paste their pennant's 4 integers in order, then decorate their pennants to become a student-created math classroom display.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/Adding-and-Subtracting-Integers-Math-Pennant-Activity-2753871" target="_blank"><img alt="Adding and Subtracting Integers Math Pennant Activity" border="0" data-original-height="960" data-original-width="960" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjW84nhvS5krNb9zpaSSYsdnkeQaknKrtNs2cxQU92tiN6E9uEjJ2ti4Vaw7382oG4MgzQW1NtBUrR_As0VkZKbUXxbNvZUqCQN3j4fKppuP9dCcmozSifztvNJTRZ_F5Ec8UQVwUoeADdLxdLIi8t2GvwmZXUlvsc7qt_KW2lvyIqO9UezY43kvNVTJa0/w320-h320/adding%20and%20subtracting%20integers%20math%20pennant%20activity.png" title="Adding and Subtracting Integers Math Pennant Activity" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Adding-and-Subtracting-Integers-Math-Pennant-Activity-2753871" target="_blank"><span style="color: #2b00fe;">Adding and Subtracting Integers Math Pennant Activity</span></a></td></tr></tbody></table><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">6. </span><b style="font-family: verdana;">Adding and Subtracting Integers Math Pennant Activity</b><span style="font-family: verdana;">: Students love seeing their work displayed. Like the other math pennants above, this one for adding and subtracting integers doubles as student-created math classroom décor. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/Integer-Operations-Manipulative-print-and-digital-211863" target="_blank"><img alt="Integer Operations Manipulative" border="0" data-original-height="960" data-original-width="960" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgfIqZm3t5r4ykcld6F00XidQibT9B5iyl-Y7KzgESvWsauJAcP_Kx3KsMERJ3lat0yYB4lhqrP93XXzFrV5IccsXmTCa61tKiEi_qsNI1DTO8gS8_eNjaWsfKqw_3-KBNXDacsW-Z52riMjhIFYMHb6WEz9cyH0o4yaFCGa-g3eqAgRCPuS8EWF70pKaA/w320-h320/integer%20operations%20manipulative.png" title="Integer Operations Manipulative" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Integer-Operations-Manipulative-print-and-digital-211863" target="_blank"><span style="color: #2b00fe;">Integer Operations Manipulative</span></a></td></tr></tbody></table><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">7. </span><b style="font-family: verdana;">Integer Operations Manipulative</b><span style="font-family: verdana;">: Originally developed as part of my graduate thesis, this integer operations manipulative makes negative numbers concrete and helps students make sense of adding and subtracting integers. Teachers often print and laminate them so that students can mark them with dry erase markers while working. </span><a href="https://www.scaffoldedmath.com/2016/07/a-manipulative-for-integer-operations.html" style="font-family: verdana;" target="_blank"><span style="color: #3d85c6;">Read more about this manipulative and my thesis</span></a><span style="font-family: verdana;">.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/Adding-and-Subtracting-Integers-Digital-Math-Escape-Room-Activity-6017065" target="_blank"><img alt="Adding and Subtracting Integers Digital Math Escape Room" border="0" data-original-height="960" data-original-width="960" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg9RWnB4nja18RwOND0E9W1RIDfeNKe50arUt-S1vNz8khobbStOGtpHw9w3uuiYsc4ehtG6M0FiNgl_5FHCn1Xt315g4hnCuSl-9WBdtExklnLxL5ZueM2AsvUjSOntcVZFQehjPqNk0ODA6CBBkB9tCxZDpYR5tpXxOMeSd1B8BWwdbcjrLR0TEycUSc/w320-h320/adding%20and%20subtracting%20integers%20digital%20math%20escape%20room%20activity.png" title="Adding and Subtracting Integers Digital Math Escape Room" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Adding-and-Subtracting-Integers-Digital-Math-Escape-Room-Activity-6017065" target="_blank"><span style="color: #2b00fe;">Adding and Subtracting Integers Digital Math Escape Room</span></a></td></tr></tbody></table><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">8. </span><b style="font-family: verdana;">Adding and Subtracting Integers Digital Math Escape Room</b><span style="font-family: verdana;">: This escape room's answer-validated Google Form requires students to correctly enter each puzzle's code before moving on. Questions are grouped 4 per puzzle, resulting in five 4-letter codes that will unlock all 5 locks. </span><a href="https://www.scaffoldedmath.com/2020/09/digital-math-escape-rooms.html" style="font-family: verdana;" target="_blank"><span style="color: #3d85c6;">Read more about digital math escape rooms</span></a><span style="font-family: verdana;">.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science/Category/9679-Integers-136208" target="_blank"><span style="color: #2b00fe;">Browse all integer activities</span></a></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="color: #2b00fe; font-family: verdana;"><a href="https://www.scaffoldedmath.com/search/label/integers" target="_blank"><span style="color: #2b00fe;">Read more integer blog posts</span></a></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">Integers come up all throughout middle and high school while solving equations, factoring quadratics, and simplifying expressions, so it's good if students enjoy working with them. I hope your students find the activities from this post fun and engaging, and that they help your students master integers this year!</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.scaffoldedmath.com/p/home.html" target="_blank"><img alt="blog home" border="0" data-original-height="480" data-original-width="960" height="160" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhHf_xiZZNaQh5HTtc5PWPkEGhg8wO0p2z_OXuX4x9kgWF3iIwbyftbnlzdfquxmIrOxyFYpqLjpwi0qopoCO0vdcekFllI3Ui99pXHlJwas6ETdiesQ_VTgiJHoiIu6tqf9TzxQLMFWXWniBF7LfBdScQX8BY8AuZ7YN7jDbkpXOqH4iI-ga42UT4R3cA/w320-h160/Scaffolded-Math-and-Science-homepage.jpg" title="blog home" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.scaffoldedmath.com/p/home.html" target="_blank"><span style="color: #2b00fe;">blog home</span></a></td></tr></tbody></table><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div>ScaffoldedMathhttp://www.blogger.com/profile/12991099683629425350noreply@blogger.com0tag:blogger.com,1999:blog-969821499728229660.post-61944695756650335882022-06-19T18:23:00.000-04:002023-10-19T10:18:06.295-04:00Printable Math Escape Rooms<p><span style="font-family: verdana;"></span></p><div class="separator" style="clear: both; text-align: center;"><span style="font-family: verdana;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgVqyG4rLEwEiwFtTyc-9gHYj3xIvT6EqesfHUd6nKIt_JbOqCuHnllzzkc24J8fNB3cz-tjzqsXKZoTVAoTxpggd_j0tE-xrdhMBqKElD4Gv0Gfdg__SuKw9vJqaHtFA2rTnR72o-_LQQW2vqXj7Wrm4OolOtOgtLTX7Letat7QnuGk9U0pwR-OI41/s1705/math%20escape%20rooms.png" style="margin-left: 1em; margin-right: 1em;"><img alt="Printable Math Escape Rooms" border="0" data-original-height="1279" data-original-width="1705" height="356" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgVqyG4rLEwEiwFtTyc-9gHYj3xIvT6EqesfHUd6nKIt_JbOqCuHnllzzkc24J8fNB3cz-tjzqsXKZoTVAoTxpggd_j0tE-xrdhMBqKElD4Gv0Gfdg__SuKw9vJqaHtFA2rTnR72o-_LQQW2vqXj7Wrm4OolOtOgtLTX7Letat7QnuGk9U0pwR-OI41/w475-h356/math%20escape%20rooms.png" title="Printable Math Escape Rooms" width="475" /></a></span></div><span style="font-family: verdana;"><br />"Can the digital math escape rooms be printed?"</span><p></p><p><span style="font-family: verdana;"><strike><br /></strike></span></p><p><span style="font-family: verdana;"><strike>No, they're only in Google Forms.</strike> <b>YES!</b></span></p><p><span style="font-family: verdana;"><b><br /></b></span></p><p><span style="font-family: verdana;">Every <a href="https://www.scaffoldedmath.com/2020/09/digital-math-escape-rooms.html" target="_blank"><span style="color: #2b00fe;">digital math escape room</span></a> now has a printable PDF version in its file. </span></p><p></p><span style="font-family: verdana;"><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div>CURRENT COUNT UPDATED: <b>90</b></span><p></p><p><span style="font-family: verdana;">TO GO: <b>0 -- Done. Yay!</b></span></p><p><span style="font-family: verdana;"><b><br /></b></span></p><p><span style="font-family: verdana;"><span></span></span></p><a name='more'></a><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Solving-2-Step-Equations-Digital-Math-Escape-Room-6064589" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Solving 2-Step Equations Digital Math Escape Room" border="0" data-original-height="1274" data-original-width="956" height="558" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEicYb-SDSsasZFKfxqgZUSxeCBIztMF-L3b8HPQulpvGWiSqdMco1ICM5GgArtil2yp06Y4h6DgZGnhWLT4paiARvHZNLh8qVGUCCqyXXyceNfZHJraNvTfZi27G-_mWqBBJPx8pBq3WofuGsFMBScQ55Pk1zx2ixNGBnnY9lzqtaK4UOo_QPvYQCCe/w418-h558/printable%20math%20ecape%20rooms.png" title="Solving 2-Step Equations Digital Math Escape Room" width="418" /></a></div><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;">Over the past couple months, I added printable PDF versions to every digital math escape room. The questions are the same between the digital math escape rooms and their printable updates. The formatting of the printable math escape rooms is similar to their Google Forms versions, with a couple small changes. </span></p><p><span style="font-family: verdana;"><br /></span></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Finding-Slope-Digital-Math-Escape-Room-6078722" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Finding Slope Digital Math Escape Room" border="0" data-original-height="960" data-original-width="1280" height="324" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEic5hYmv9CNldncvjSncWq_2DZG0BadBKgWB80tOe9HADKDI9sl38LWLa9G28Q4x1z78XE0cJWDSpf6Hrg7u_uHE9A_VP9ut2mZ5srfaPSa3ZFlU_fAL8Zg-dmoM_AANG0ML1DhRAuh206fQeWglrLMJtG_29glT19ZFLCnkGuz1OEjI8gNPulVfhAz/w432-h324/digital%20to%20printable.png" title="Finding Slope Digital Math Escape Room" width="432" /></a></div><br /><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;">First, all color has been removed so that they can be easily printed at school. </span></p><p><span style="font-family: verdana;"><br /></span></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science/Category/-Digital-Math-Escape-Rooms-472763" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Printable math escape rooms answer sheet" border="0" data-original-height="1125" data-original-width="1500" height="323" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhR4TE_gujxQZ2axXbtMmyKxU34fWm6dx3WXMQk2T5PgdfqrTK5mi4kzjq-so7fdOlDP4rUfSnhlEIh386Szx5VCO8rrkKRduTNfJM0ZE0aPIYqmZWrI-uk0r1Q38GQtg4u_3e-BHwP1RrEp3YSuC_N3eWvS2COectuL3o3t1dOKCUzjUC4hmfcSK4H/w430-h323/answer%20sheet.png" title="Printable math escape rooms answer sheet" width="430" /></a></div><br /><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;">Each printable math escape room has a printable answer sheet with directions and spaces for each puzzle's 4-letter code.</span></p><p><span style="font-family: verdana;"><br /></span></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science/Category/-Digital-Math-Escape-Rooms-472763" style="margin-left: 1em; margin-right: 1em;"><img alt="Printable math escape rooms next step box" border="0" data-original-height="1125" data-original-width="1550" height="315" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiNMTPtesvO6XYTpOiOVFBuGss9r2FqN2VQr7w0taLWQM2ocezRD-v0QGUkgUpRsaWDU-iZaITVHkbzFV5DtMaAfWszk2RfBC4FIOEQ1AcbVdKx04-WJVcFbDy01QDdY7Sy7W2P9hpEFwCWd_18x6TJMsH_DpQzvBYlJ7p_vZdP4ygjmesVlCWl8id2/w435-h315/next%20steps.png" title="Printable math escape rooms next step box" width="435" /></a></div><br /><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;">I also wanted to keep some self-checking aspect like the digital math escape rooms have, so each printable puzzle will have a <b>NEXT STEP</b> box. Students can work in groups, each group starting at a different puzzle. Once done, students check the NEXT STEP box for which puzzle to visit next.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">Here's a closeup of how a digital math escape room puzzle compares to its new printable PDF version:</span></p><p><span style="font-family: verdana;"><br /></span></p><p></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/Area-Perimeter-and-Volume-Digital-Math-Escape-Room-7032880" target="_blank"><img alt="Area, Perimeter and Volume Digital Math Escape Room" border="0" data-original-height="598" data-original-width="908" height="264" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhA5cS-348zB-ie33yNrCqgtLvXQCTyvvLg_hwdub_h8SmRd_q1-gV3GRldrpiADPSiDfoZyez3M7EQ4EiYiI7iicn-hqGbBcBjRhZb-FSqTGrvnawU15Twtq1efAirOh2u3QDjErMLowo6A9BJ8wmIjWVW7DjqBdPZhBLOHDIL12VF1Lq-bcl05j0W/w400-h264/google%20form%20digital%20math%20escape%20room.png" title="Area, Perimeter and Volume Digital Math Escape Room" width="400" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Area-Perimeter-and-Volume-Digital-Math-Escape-Room-7032880" target="_blank">puzzle 1 - area, perimeter, volume digital math escape room</a></td></tr></tbody></table><br /><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;">Above is puzzle #1 of an area, perimeter and volume digital math escape room. The digital version is completely contained in one self-checking Google Form. </span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">Here is the same puzzle's printable version:</span></p><p><span style="font-family: verdana;"><br /></span></p><p></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/Area-Perimeter-and-Volume-Digital-Math-Escape-Room-7032880" target="_blank"><img alt="Area, Perimeter and Volume Digital Math Escape Room printable PDF version" border="0" data-original-height="1092" data-original-width="1456" height="300" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiQ5XVlWjU6DzyNFQTKySWeIDJ5YYyB_AQFDuHEuS54rtWG9J6tw_mX1BcDDm1P3h0SpRQqOG2z5vhRsWP2Kc1UD9ZHEa4N1huCZcxHRmbvSYnBSxR_AvB_pbVLbfjQ8lAZ9giavyVFhgfGjas6NXIv1Mc5W7As_HlVvplVdMcGSL4gOyZaBANeDGSv/w400-h300/printable%20math%20escape%20room.png" title="Area, Perimeter and Volume Digital Math Escape Room printable PDF version" width="400" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Area-Perimeter-and-Volume-Digital-Math-Escape-Room-7032880" target="_blank">puzzle #1 - area, perimeter, volume printable PDF version</a></td></tr></tbody></table><br /><span style="font-family: verdana;"><br /></span><p><span style="font-family: verdana;">Both versions are in the same file. Re-downloads are free to get the updated file.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><b>How the printable PDF math escape rooms work:</b></span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><b>1:</b> Students can start on any of the 5 puzzles, they don't all have to start on puzzle #1. This will make it easy for you to have students work together in groups. </span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><b>2: </b>Students answer all 4 questions in their first puzzle and record their 4-letter answer code onto their answer sheet.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><b>3:</b> Students then check the puzzle's NEXT STEP box to see which puzzle to visit next. This part of the escape room works a bit like a scavenger hunt.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><br /></span></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science/Category/9632-Digital-Math-Escape-Rooms-472763" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img border="0" data-original-height="1168" data-original-width="1560" height="300" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiiqcU5jAtXYjC_fOeyN7u58Doo4cjAaom-riDeyi9GM8w_WPHbn7Jy5j4Gzt8Lz19Rawhs0-VAspxoeQJLog1741EDulQddaBxNHPn8I_arJ1jVmc4kPGeAmrX_o-Zsk4GHuxbUVvLFaNoptupcsRw6TxFNBybXqR_sQQffRSAcsgPF_lPeeNZbsw3/w400-h300/digital%20to%20print.png" width="400" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><p></p><p><span style="font-family: verdana;">The covers of the updated math escape rooms will have a green "print and digital" tag to show they have been updated.</span></p><p style="text-align: left;"><br /></p><p><span style="font-family: verdana;">All bundles on both <a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science/Category/-Digital-Math-Escape-Rooms-472763/Search:bundle" target="_blank"><span style="color: #2b00fe;">TPT</span></a> and my <a href="https://shopscaffoldedmath.com/collections/digital-escapes" target="_blank"><span style="color: #2b00fe;">website</span></a> are updated with the new versions. If you own any of these escape rooms or the bundles they are in, you can re-download them for free from either site to get the updates.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"><span style="font-family: verdana;"><a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science/Category/-Digital-Math-Escape-Rooms-472763" target="_blank"><span style="color: #2b00fe;">BROWSE ALL DIGITAL MATH ESCAPE ROOMS</span></a></span></p><p><br /></p><p><span style="font-family: verdana;"><br /></span></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://www.scaffoldedmath.com/p/subscribe.html" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Free math resource library" border="0" data-original-height="816" data-original-width="1280" height="204" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgu9TVfGrnKmp_4a99Ekcv-R6OTUqkMeLSGY5wGxPO24gUCxEUEEpVB-vHOVasOo7y9bLtz2lVlcEb8Kp_4Oat-iZcBtbhyafR3MMmDdG7zKITq87QVNDmZpuBnyRsAWh1eiCW9eKe-BDPMB6bgLmaZtkzpqWv8vRzGtW0bFM1BxynPU4uAfTNnf_vl/w320-h204/free%20math%20resource%20library.png" title="Free math resource library" width="320" /></a></div><br /><span style="font-family: verdana;"><br /></span><p></p><p><br /></p><p></p>ScaffoldedMathhttp://www.blogger.com/profile/12991099683629425350noreply@blogger.com0tag:blogger.com,1999:blog-969821499728229660.post-32322876487598887132022-06-17T13:44:00.008-04:002024-01-02T16:49:54.224-05:00Easily gamify any math assignment with a trip around the world!<div><div class="separator" style="clear: both; text-align: center;"><a href=" " style="margin-left: 1em; margin-right: 1em;"><img alt="How to Easily Gamify Any Math Assignment!" border="0" data-original-height="1152" data-original-width="1280" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgIMtu6joMrw5sjK2SqUOg2msatNqHBMUYizl-xxjbrjDY_jnFAKYWleOUOxYo0ZTS6Bl0ckGZZLsb5NHybZvF6xyE_sZ7D6JXaZdgyqy82lI0dPRfwqrc_PRUr8AjYPy6tAZlHLdMBg46yg0ZXORv41HdUsY-taUfbW-tGwtRlX6mvwDgkC2aLDykSEZo/w400-h360/how%20to%20easily%20gamify%20any%20math%20assignment.png" title="How to Easily Gamify Any Math Assignment!" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><span style="font-family: verdana;">Easily gamify any math worksheet, set of <a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science/Category/Task-Cards-606387" target="_blank"><span style="color: #2b00fe;">task cards</span></a> or really any math assignment by sending your students on a world trip! This simple add-on will work for any assignment with 20 questions or less. </span><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><span><a name='more'></a></span>Students can compete by all starting at destination 1 (New York), or you can lessen the competition by having students choose where to start. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><div class="separator" style="clear: both; text-align: center;"><a href="https://drive.google.com/file/d/1Qc3nhsGmq6iF8SWq3efiGaQMeM8acG9f/view?usp=drive_link" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img border="0" data-original-height="1125" data-original-width="1125" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgS9hahCAS7lzIe3RzhKwKCGTJJgJEwIDiGYua2OlEwdQM2xeUI3PhFnYdYPFAsgbTY9VG864wXTNLaeLCDdPS78alHgImsa0RkV5w2lu5LLxuj5AyrGc20CN8wB150C-b0WN0Qd02nU4pHF0dkGsQirY5lq_69A2Dzir00FtWG_qJhcEKNl3SP-c1mUqg/w400-h400/thumb%201.jpg" width="400" /></a></div><br /><b><br /></b></span></div><div><span style="font-family: verdana;"><b><br /></b></span></div><div><span style="font-family: verdana;"><b>How it works: </b></span></div><div><span style="font-family: verdana;"><br /></span></div><div><ul style="text-align: left;"><li><span style="font-family: verdana;">Teams or pairs of students choose a team name and customize their avatar.
Students tape their avatar under the first destination they want to visit. </span></li></ul><div><span style="font-family: verdana;"><br /></span></div><ul style="text-align: left;"><li><span style="font-family: verdana;">Students then complete that problem on their worksheet. For example, if students start at destination 2 (Stonehenge), they will complete problem 2 on their worksheet first. </span></li></ul><div><span style="font-family: verdana;"><br /></span></div><ul style="text-align: left;"><li><span style="font-family: verdana;">Students move to the next destination once they know their work is correct. I used to circulate the classroom stamping worksheet problems as students worked. </span></li></ul><div><span style="font-family: verdana;"><br /></span></div><ul style="text-align: left;"><li><span style="font-family: verdana;">Once students get back to their first destination, they have completed their world trip-- and their worksheet! </span></li></ul></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">I hope your students enjoy their math world trip! You can download the world trip <a href="https://drive.google.com/file/d/1Qc3nhsGmq6iF8SWq3efiGaQMeM8acG9f/view?usp=drive_link" target="_blank"><span style="color: #2b00fe;">here</span></a> from my Google Drive.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://drive.google.com/file/d/1Qc3nhsGmq6iF8SWq3efiGaQMeM8acG9f/view?usp=drive_link" target="_blank"><img border="0" data-original-height="1920" data-original-width="1920" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhrX7p6MAnjNUUAz-8RxMl0R-mb2ualFiYUz6kqgAuueH9tcfhQW0Ji8VS9ZU3z52QtBnm0oYyYdxBBgjNs1VojWMMMimWjQ2Tc_upDVHJjAH8k4F_eGPjHRc8Opy61rUrEwrxAIyYvUMc8rqLf9Pff8VAD7jGSNmHvW7uDPB8MaEizKljE5Qd5VzmsW3U/s320/cover.png" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><span style="color: #2b00fe;"><a href="https://drive.google.com/file/d/1Qc3nhsGmq6iF8SWq3efiGaQMeM8acG9f/view?usp=drive_link" target="_blank">Math World Trip</a></span></td></tr></tbody></table><br /><span style="font-family: verdana;"><br /></span></div><div><br /></div><div><span style="font-family: verdana;"><a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science" target="_blank"><span style="color: #2b00fe;">Browse all math activities</span></a></span></div><div><span style="font-family: verdana;"><br /></span></div>ScaffoldedMathhttp://www.blogger.com/profile/12991099683629425350noreply@blogger.com0tag:blogger.com,1999:blog-969821499728229660.post-30168292921190420452022-06-16T19:16:00.000-04:002023-11-01T13:30:57.142-04:00Teaching small group Algebra 2<p></p><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgLmMFq-K5pdfukpWAU2blb6p1C-QNoCQm70PcdaO2j_5PKmq_T3R4c08tNBl7Rbj2iwbrwUZ2Kj5mdYvXy_pj0f-ldrdWy8T49U8Aia5utcwlOhsPMb9zCpVjrWXVHK_A8Eicm6gaFF0yBMc8gzruKy4MbvpAd6YocmJb7oyczYp6qcAEnyzJYiWsH/s1241/Teaching%20small%20group%20algebra%202.png" style="margin-left: 1em; margin-right: 1em;"><img alt="A collection of small group special education algebra 2 teaching ideas" border="0" data-original-height="1241" data-original-width="940" height="484" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgLmMFq-K5pdfukpWAU2blb6p1C-QNoCQm70PcdaO2j_5PKmq_T3R4c08tNBl7Rbj2iwbrwUZ2Kj5mdYvXy_pj0f-ldrdWy8T49U8Aia5utcwlOhsPMb9zCpVjrWXVHK_A8Eicm6gaFF0yBMc8gzruKy4MbvpAd6YocmJb7oyczYp6qcAEnyzJYiWsH/w367-h484/Teaching%20small%20group%20algebra%202.png" title="Teaching small group Algebra 2" width="367" /></a></div><p><span style="font-family: verdana;"></span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">Teaching small group algebra 2 was challenging and super rewarding. Now that I am out of the classroom, teaching algebra 2 is one of the things I miss most. So much growth happens in students between when they enter the course and leave it. There were always so many times when my students thought a topic would be way too hard and ended up mastering it not too much time later. </span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">In this post I want to share some of the teaching ideas and materials that I used in my small group special education algebra 2 class. Every student had an IEP and most were in 11th grade. Some were seniors, but most seniors in small group math took <a href="https://www.scaffoldedmath.com/2022/06/consumer-math-curriculum.html" target="_blank"><span style="color: #2b00fe;">consumer math</span></a>. I'll also link towards the end some of the cheat sheets I made for our inclusion algebra 2 class that got a bit farther in the curriculum than we did in small group.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">If you've taught 9th grade <a href="https://www.scaffoldedmath.com/2020/07/algebra-activities-blended-learning-classroom.html" target="_blank"><span style="color: #2b00fe;">algebra</span></a>, you will likely recognize some of the topics we cover in small group algebra 2. A lot of review was necessary to lay the groundwork for new topics:</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><b><span></span></b></span></p><a name='more'></a><span style="font-family: verdana;"><b>These are the units we covered in small group algebra 2:</b></span><p></p><ul style="text-align: left;"><li><span style="font-family: verdana;">Increasing and decreasing</span></li><li><span style="font-family: verdana;">Domain and range </span></li><li><span style="font-family: verdana;">Function/not a function </span></li><li><span style="font-family: verdana;">Evaluating functions </span></li><li><span style="font-family: verdana;">Parent functions intro- absolute value, quadratics, radicals</span></li><li><span style="font-family: verdana;">Graphing absolute value functions - vertex form </span></li><li><span style="font-family: verdana;">Graphing quadratics - vertex form </span></li><li><span style="font-family: verdana;">Graphing radicals - vertex form</span></li><li><span style="font-family: verdana;">Function operations</span></li><li><span style="font-family: verdana;">Factoring </span></li><li><span style="font-family: verdana;">Quadratic formula </span></li><li><span style="font-family: verdana;">Complex numbers </span></li><li><span style="font-family: verdana;">Graphing quadratics in all forms </span></li><li><span style="font-family: verdana;">Quadratic word problems </span></li><li><span style="font-family: verdana;">Solving radical equations</span></li><li><span style="font-family: verdana;">Polynomials</span></li><li><span style="font-family: verdana;">Inverse functions </span></li></ul><p></p><p><span style="font-family: verdana;"><i>In our inclusion class, we also covered: </i></span></p><p></p><ul style="text-align: left;"><li><span style="font-family: verdana;">Polynomial long division</span></li><li><span style="font-family: verdana;">Synthetic division</span></li><li><span style="font-family: verdana;">Exponential Functions</span></li><li><span style="font-family: verdana;">Logarithms </span></li><li><span style="font-family: verdana;">Graphing rational functions </span></li></ul><span style="font-family: verdana;"><div><br /></div><div><br /></div><h2 style="text-align: center;"><b>TEACHING SMALL GROUP ALGEBRA 2</b></h2><div><br /></div>If you've taught 9th grade algebra 1, you'll probably recognize some of the topics we cover in small group algebra 2. This is because a lot of review is necessary to lay the groundwork for the new topics.</span><div><span style="font-family: verdana;"><br /></span><div><span style="font-family: verdana;"><b><br /></b></span></div><div><b style="font-family: verdana;">Increasing and decreasing</b></div><div><div><span style="font-family: verdana;">Our year always started with an introduction to nonlinear functions and how their graphs compare to linear functions. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Interpreting-Function-Graphs-Matching-Activity-print-and-digital-1185230" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Introduction to nonlinear functions in algebra 2" border="0" data-original-height="1125" data-original-width="1125" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh5Rb8fAyqLx8gTpUBvjXemkm-MRS8rmmJEGRPLpLsJ4Hvot5ewk4-lPdSsg3yeQfy17gRBLnkgEktx42d28Av5E1JZjIQipoT8FG5fVGPrPl7zMffqeYFnG1lLQ3I-TFf3piXSAzqk-Ql6-wzAsvF0FbDNKnY5UHJiG9_eT2myE6RuuXJwPV8uol09/w400-h400/interpreting%20function%20graphs.jpg" title="Introduction to nonlinear functions in algebra 2" width="400" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><span style="font-family: verdana;"><div><span style="font-family: verdana;"><br /></span></div>When is a graph increasing? When is it decreasing? We always started the year with an overview of towards and away motion graphs. As Lila and her friends raced to school, they got tired so they slowed down. The distance between the friends and home decreased as they ran from school to home, then increased as they raced back to school. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">Teachers at my school also used motion sensors and a <a href="https://www.scaffoldedmath.com/2018/01/graphing-functions-water-lab.html" target="_blank"><span style="color: #2b00fe;">water lab</span></a> to introduce motion graphs. There is also a virtual Desmos water lab.</span><span style="font-family: verdana;"> </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><b>Domain and range</b></span></div><div><span style="font-family: verdana;">We always spent extra time on <a href="https://www.scaffoldedmath.com/2015/09/learning-about-domain-and-range.html" target="_blank">domain and range</a> since it comes up throughout the school year.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><div class="separator" style="clear: both; text-align: center;"><a href="https://www.scaffoldedmath.com/2022/03/how-to-find-domain-and-range-of-graphs.html" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Help finding the domain and range of graphs" border="0" data-original-height="808" data-original-width="600" height="483" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj80FqNjz1B98VpIQPIJIkAAlXXshBYCNlYlbeZ1efvfqu76XJcMxevBjx2Amf8-vZiSgHOSSlganWVZW25LvzYzpO6-zxTyS5bur8QJemkaEmYUONGEJj6oEV4D0lQocri18BdPk1R5Lo3bQUGyVVh8d_JQVT3o9EYJZZjFgf1a5dT1kVTolLUPKGp/w360-h483/domain%20and%20rage%20of%20graphs%20gif.gif" title="Help finding the domain and range of graphs" width="360" /></a></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div>Students often had some trouble finding the <a href="https://www.scaffoldedmath.com/2022/03/how-to-find-domain-and-range-of-graphs.html" target="_blank"><span style="color: #2b00fe;">domain and range of graphs</span></a>. Dragging a pencil across the grid, then asking students to say, "stop!" when the pencil hits the graph, then again when the pencil left the graph, helped them identify the intervals' start and end points. <a href="https://drive.google.com/file/d/1qtu5D-NHsDKiUJdYJNVsJcvez2sQ0FJq/view" target="_blank"><span style="color: #2b00fe;">Here</span></a> are the practice cards we used and <a href="https://drive.google.com/file/d/1YqrATPMV6xK8cjvGyujdF0M_T4TH97Rh/view" target="_blank"><span style="color: #2b00fe;">here</span></a> is the reference sheet.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.scaffoldedmath.com/2015/10/quickly-checkin-algebra-2.html" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Algebra 2 quick check we'd use for our warm-up activity" border="0" data-original-height="844" data-original-width="844" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjZZjaUf9_bQZW6OwuKJ3DPo7_kanfLueuQM2j83hgxZ-epsS48lTS2L0yqs8rSKw7eBBXc812OeiPHOJ0UYLivFd0o2hvQHr8M3XmpQG3IcdlA7okrORW8frJgp_uEa0hETTyLG76Ed87siKGFsKgxffqJrETJ2eKuJGGtrdqaeXQFa0NbyBAhwYvB/w400-h400/algebra%202%20quick%20check%20warm%20up%20template.png" title="Algebra 2 quick check we'd use for our warm-up activity" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">Warm-ups get pencils in hands and students working as soon as they enter class. We used this <a href="https://www.scaffoldedmath.com/2015/10/quickly-checkin-algebra-2.html" target="_blank"><span style="color: #2b00fe;">algebra 2 template</span></a> throughout the year to graph functions.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><b style="font-family: verdana;"><br /></b></div><div><b style="font-family: verdana;">Function vs. not a function</b></div><div><span style="font-family: verdana;">Identifying when a relation is a function always got a quick review.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiAj5X1sGjYxR9VA6G4Aqy53WNYPyuZAa0Dpvm2X_PlWehZfAZKkrkt-mFkNnnbfGu7l9HixyhMQw8lQKo49SJDodwdGKQVMqRliEHZEdusMSFxiwZhdKbo-p-bFkFo-HtVinmKFCEVWkG7hhdg8qj5grirli8ySepwq3s9CdTHoWNoYWy4og6D1fE-/s1200/function%20not%20a%20function.jpg" style="margin-left: 1em; margin-right: 1em;"><img alt="Function vs. not a function review" border="0" data-original-height="1200" data-original-width="1200" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiAj5X1sGjYxR9VA6G4Aqy53WNYPyuZAa0Dpvm2X_PlWehZfAZKkrkt-mFkNnnbfGu7l9HixyhMQw8lQKo49SJDodwdGKQVMqRliEHZEdusMSFxiwZhdKbo-p-bFkFo-HtVinmKFCEVWkG7hhdg8qj5grirli8ySepwq3s9CdTHoWNoYWy4og6D1fE-/w400-h400/function%20not%20a%20function.jpg" title="Function vs. not a function review" width="400" /></a></div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">We looked at relations represented in tables, graphs, mappings, equations and sets of coordinates to determine which were functions.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiviNHnGrAETsf9tpsqpKFVQ-WbeORqby48U2OLB0ksSZ8u0E7eMPdOdwYu0MxPgXcpaqx1MmceK2Njf_LHPAl2hwJVfdjOM5LWDbdWoLKqSTErLQ17kRXw6o9uLMJnjLHUEqCiMEg3zgqtjo0TyxC4w94xEild8KGXjS6lbDRH5S430M_2xc5nxIya/s1125/function%20vs%20not%20a%20function%20poster.jpg" style="margin-left: 1em; margin-right: 1em;"><img alt="Function vs. not a function poster" border="0" data-original-height="1125" data-original-width="844" height="532" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiviNHnGrAETsf9tpsqpKFVQ-WbeORqby48U2OLB0ksSZ8u0E7eMPdOdwYu0MxPgXcpaqx1MmceK2Njf_LHPAl2hwJVfdjOM5LWDbdWoLKqSTErLQ17kRXw6o9uLMJnjLHUEqCiMEg3zgqtjo0TyxC4w94xEild8KGXjS6lbDRH5S430M_2xc5nxIya/w399-h532/function%20vs%20not%20a%20function%20poster.jpg" title="Function vs. not a function poster" width="399" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">We can remain the same height year after year, but can we be two different heights at the same time? One is a function, one is not a function in that it doesn't make sense in real life. I drew these two graphs on the board and asked students which made sense. This brought us into the vertical line test for functions.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><b>Evaluating functions</b></span></div><div><span style="font-family: verdana;">Leaving non-functions behind, we'd then get into <a href="https://www.teacherspayteachers.com/Product/Evaluating-Functions-Algebra-Task-Cards-Activity-print-and-digital-1468356" target="_blank"><span style="color: #2b00fe;">evaluating functions</span></a> given graphs, equations, word problems and tables.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><br /></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Evaluating-Functions-Algebra-Task-Cards-Activity-print-and-digital-1468356" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Evaluating algebraic functions" border="0" data-original-height="1200" data-original-width="1200" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEharRDhlptBQcCxfllwX6cN-LwfhRT_ozvrCgl6nVlw0ow4VNqUpim3-OTEXZQdZrbkbgKzss9HrdXiIfE2Q3QJ4J4L8TTO4lbfE5TG6G5ZoJ2p2-wMjhpbFmen8revQDcIeCH9MZrfWcQFy02NoMbEdFvKoCmYU5EdQDG7J8BglhqSazWZnRtWhHm0/w400-h400/evaluating%20functions.jpg" title="Evaluating algebraic functions" width="400" /></a></div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">We'd also learn to <a href="https://www.teacherspayteachers.com/Product/Composing-Functions-Digital-Math-Escape-Room-6951842" target="_blank"><span style="color: #2b00fe;">compose functions</span></a> given different function forms.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Composing-Functions-Digital-Math-Escape-Room-6951842" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Composing Functions Digital Math Escape Room" border="0" data-original-height="816" data-original-width="1248" height="261" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh0jh9IT6liATjWq7pRK285hkYFlz6BN4liHN07uc7VIQh8qrfHW4YiKvIYroAAJ2pY1oORKR2kABxAHP4I12ev-0qQhCXlS1Mj58vrwmlvET4heXRnY47suqg0dIRlxtdaIE8a5DHY7Crh44T9jIqI1J7vt79Fwkp6uhbp3SMIcsKTsAH1P-km_c06/w400-h261/function%20composition%20digital%20math%20escape%20room.png" title="Composing Functions Digital Math Escape Room" width="400" /></a></div></div><div><b style="font-family: verdana;"><br /></b></div><div><b style="font-family: verdana;"><br /></b></div><div><b style="font-family: verdana;">Parent functions intro - absolute value, quadratics, radicals</b></div><div><span style="font-family: verdana;">Before teaching students how to graph functions in vertex form, I gave them a See, Think, Wonder sheet and put an absolute value graph (part of our <a href="https://www.teacherspayteachers.com/Product/Algebra-2-Word-Wall-print-and-digital-math-vocabulary-1964059" target="_blank"><span style="color: #2b00fe;">algebra 2 word wall</span></a>) and equation on the board. I asked students to take a minute to write down what they see, then what they think, then what they wonder.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Algebra-2-Word-Wall-print-and-digital-math-vocabulary-1964059" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="graphing absolute value functions with see, think, wonder" border="0" data-original-height="1144" data-original-width="1164" height="394" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjCksNxCqhiTDhFe75W5DOsH7oGWrSr-b5JtqRgoewbYJQp5AJC7ArMHtF8VMmVeBaf68P8-NmyptgbMxD71g81o307yu4lI7EeVLsWfpNUsBuq3CUqIY57voKjlkS0c4ZW8cg2pBv3smCIUkMNeE6vZ0pqs7gqBHCR23rhpbGIrXYRGJFJgxpkhLc8/w400-h394/see%20think%20wonder%20png.png" title="graphing absolute value functions with see, think, wonder" width="400" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">My 11th grade algebra 2 students weren't totally familiar with this format, but I wanted to give them a few minutes to make the connection between the equation and vertex of a function in vertex form before we jumped into learning about them.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><b>Graphing absolute value functions - vertex form</b></span></div><div><span style="font-family: verdana;">At this point in the year, my students started to need visual supports and reminders, which I provided through our algebra 2 word wall (with some algebra 1 references added in) and <a href="https://www.scaffoldedmath.com/2017/10/math-cheat-sheets.html" target="_blank"><span style="color: #2b00fe;">math cheat sheets</span></a>. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjLgm5irtwzCuuZVOhtHp4iHSyWpSoyRAQN3g8mrT0gqX-F-4h80gu8nD39sUzKd2nEUxJ_u2Ytd6ikMbTGpaC8Q9CJEmjWOQJv-3_Vl7EYJ-8LyoSCKU16Lw9EvAG0xIwZzsBuYUSZs_VD6E_7caAK6orTYEsreuI8CbnoQvuQe2Rz9Zn3HIZm5lPO/s1200/graphing%20absolute%20value%20functions%20cheat%20sheet.jpg" style="margin-left: 1em; margin-right: 1em;"><img alt="graphing absolute value functions cheat sheet for student notebooks" border="0" data-original-height="1200" data-original-width="1200" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjLgm5irtwzCuuZVOhtHp4iHSyWpSoyRAQN3g8mrT0gqX-F-4h80gu8nD39sUzKd2nEUxJ_u2Ytd6ikMbTGpaC8Q9CJEmjWOQJv-3_Vl7EYJ-8LyoSCKU16Lw9EvAG0xIwZzsBuYUSZs_VD6E_7caAK6orTYEsreuI8CbnoQvuQe2Rz9Zn3HIZm5lPO/w400-h400/graphing%20absolute%20value%20functions%20cheat%20sheet.jpg" title="graphing absolute value functions cheat sheet for student notebooks" width="400" /></a></div></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">We graphed most functions throughout the year by completing tables. This provided extra practice evaluating functions, and the structure of always using a table seemed to work well.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><b><br /></b></span></div><div><span style="font-family: verdana;"><b>Graphing quadratics - vertex form</b></span></div><div><span style="font-family: verdana;">After absolute value functions, we learned about <a href="https://youtube.com/shorts/_ikwM0efMjs?feature=share" target="_blank"><span style="color: #2b00fe;">graphing quadratics in vertex form</span></a>. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://youtube.com/shorts/_ikwM0efMjs?feature=share" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="graphing quadratics in vertex form cheat sheet for student notebooks" border="0" data-original-height="1200" data-original-width="1200" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgXVHF30K1HEHO_gnPncQYE-Oy35cIiUGiK8H6xVXI-2CgSDnNGYKIs_Rn_kUISNIoNqZZKIVGBzcS4YFBwwG9muQ3H7zYQjJPjjXcUvi0atuIXPzI7jRnVx5BUnclRyurfxFya4tjSmcJqiX-PickY4mDNXjI5-Vf9JzRli8G77zpLhlYrfotgE15p/w400-h400/graphing%20quadratics%20in%20vertex%20form.jpg" title="graphing quadratics in vertex form cheat sheet for student notebooks" width="400" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><span style="font-family: verdana;"><div><span style="font-family: verdana;"><br /></span></div>We completed another See, Think, Winder comparing the absolute value graph and equation from earlier with a quadratic graph and equation in vertex form.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Graphing-Vertex-Form-Quadratics-Task-Cards-Review-9261573" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="graphing vertex form quadratics" border="0" data-original-height="1125" data-original-width="1125" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhcvy3f8zAVcCqgZh5NOP6SRBmMilChNH8IWgpWvB-G_rW4AGgTTHB9V1HoFgXiia122FtmEmDdiTyU7UD4OOyahG3bNbgoP-dnowcyaLrvfTs8Tm2axmNTk1wix03aKifBWhkg1pmGipcH6-CKClgWL7aOud9BjwXzOIVDtsNnpSP6QPNP7HIMwnK/w400-h400/graphing%20vertex%20form%20quadratics.jpg" title="graphing vertex form quadratics" width="400" /></a></div><br /></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">For a quadratic with a value = 1, the <a href="https://youtube.com/shorts/jUkQMv-rdO4?feature=share" target="_blank"><span style="color: #2b00fe;">pattern from the vertex</span></a> -- <i>up 1, over 1; up 3, over 1; up 5, over 1, up 7 over 1</i> -- helps find additional coordinates once the vertex is found. We still completed tables, then used the pattern as a check. Students completed a set of <a href="https://www.teacherspayteachers.com/Product/Graphing-Vertex-Form-Quadratics-Task-Cards-Review-9261573" target="_blank"><span style="color: #2b00fe;">vertex form task cards</span></a>.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: center;"><a href="https://youtube.com/shorts/_ikwM0efMjs?feature=share" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img border="0" data-original-height="618" data-original-width="956" height="374" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhSuUC24wmX5B4VvP4LYPp8CGxDs01vYFHAd5QfQaViwJkRUTersLTJo9Xi8zvplsSxD1MzQ9AvxzoHbqrrny1pDrs5BFEaKzDY-BlaOASxJ-bXemU71pHtvM8MHQEIIUTDgvN7XhljVCcX02CQeyASoijB9RYbFDZpxXfs8ySLKIAWNu7Tfm1ZTRAS/w578-h374/graphing%20vertex%20form%20quadratics.JPG" width="578" /></a></div><br /><div><br /></div><div><span style="font-family: verdana;">We graphed quadratics in vertex form by completing a table then plotting coordinates (<a href="https://youtube.com/shorts/_ikwM0efMjs?feature=share" target="_blank"><span style="color: #2b00fe;">video</span></a>).</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><b>Graphing radicals - vertex form</b></span></div><div><span style="font-family: verdana;">Next we moved on to <a href="https://www.scaffoldedmath.com/2020/01/how-to-graph-radical-functions.html" target="_blank"><span style="color: #2b00fe;">graphing radical functions in vertex form</span></a>.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.scaffoldedmath.com/2020/01/how-to-graph-radical-functions.html" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="graphing radical functions cheat sheet" border="0" data-original-height="760" data-original-width="760" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiIme3Hl3DqdOGRd9_FU3tRgYv3j-7CyZiyG_CbRSrrjHS-dB6BbupET_LwYIGXqQ-Zgf1HaKgQg1YWR0waxhll6lNdH_vDYrB0PJp2Rv_19HWk1dzinj7VOMK_spD091ywB45C_tDJUmjgeAGGhGTMW7rQMe9PmYQUD_Wro5NCJE1VV3Upk8TN4Oq_/w400-h400/graphing%20radicals%20cheat%20sheet.jpg" title="graphing radical functions cheat sheet" width="400" /></a></div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">We analyzed the relationship between the graphs of quadratic functions and radical functions to set the stage for later when we learned about inverse functions, then <a href="https://www.teacherspayteachers.com/Product/Function-Transformations-Digital-Math-Escape-Room-6027716" target="_blank"><span style="color: #2b00fe;">review transforming vertex form functions</span></a> before moving to our next unit.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Function-Transformations-Digital-Math-Escape-Room-6027716" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Function Transformations Digital Math Escape Room" border="0" data-original-height="816" data-original-width="1248" height="261" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjX8aRQO3waBTfore1-AwbRTnlaQU9dwOSlFrHIpSTtr8xp0_4Tm1vW78mPB60136-A2tNWKmwTERCyxvwbJ5OKBDIujNDXLYFvEKg2EYAmsovgZfjUpvg14SAigK6qSYHwtMUDKRRZpRJB4-LWavOLG3OmqR2u6kZT5byXUdCnhUOHDsCkl35BXMO0/w400-h261/function%20transformations%20digital%20math%20escape%20room.png" title="Function Transformations Digital Math Escape Room" width="400" /></a></div><br /></div><div><span style="font-family: verdana;"><b><br /></b></span></div><div><span style="font-family: verdana;"><b>Function operations</b></span></div><div><span style="font-family: verdana;">We then switched gears into function operations-- adding, subtracting and multiplying.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.scaffoldedmath.com/2017/06/function-operations-dice.html" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="function operations activity" border="0" data-original-height="720" data-original-width="720" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiti_cOkRfOmpWrWXfqB1KAyqHYJCfvMAHKG61qnVnMpsBrpIlFKYaq6ve-9JVpTFU8wCuIjRcM7fCDIOIJ6fS-JzoDqJTxzEWDRr49CDr1A9QNjdV_YHltBDJs7pmdv3t_4mJKCZVDBZAgBJqCGzZSx4dSpqp-4uO7qe7p9ZzF4_UZmaVgdmzqxQHS/w400-h400/function%20operations%20dice.jpg" title="function operations activity" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">In small group, we focused on adding, subtracting and multiplying functions. We also reviewed evaluating functions with a fun <a href="https://www.scaffoldedmath.com/2017/06/function-operations-dice.html" target="_blank"><span style="color: #2b00fe;">dice activity</span></a>.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><b>Factoring</b></span></div><div><span style="font-family: verdana;">Next came <a href="https://www.scaffoldedmath.com/2015/03/solving-quadratics-activity-lets-make.html" target="_blank"><span style="color: #2b00fe;">factoring</span></a>. One year I did decide to give students a multiplication chart, which helped those who did not know their multiplication tables. Students were generally thankful for the table, which I hadn't expected. I thought giving them a multiplication table to use during factoring would be an insult, but it didn't turn out that way.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Lets-Factor-PowerPoint-Game-2452432" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="factoring quadratics introduction" border="0" data-original-height="624" data-original-width="960" height="260" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh_XidWeOdUIkWLQNeIkGMwEV0PJhexZx-9qxbYXeHT3AE65ET3vtk1dWFbAcxmzvSxaSquTqplqbbMPYemE9GVbvcahK-FG-7QMo5SXIeMMluQB3A4-ihs0GVE5IZLzTeMSQ2kWp3FMAMgSSWEPjoyh3dKooiv3IAVU9QrAsmGzQRseYTOXPXU0KLM/w400-h260/lets%20factor%20powerpoint.jpg" title="factoring quadratics introduction" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">Before jumping into trinomial factoring, we played a game of figuring out two numbers that multiply to a certain number and add to a certain number. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Factoring-Quadratics-Worksheet-Activity-Whats-the-Area-992587" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="factoring quadratics" border="0" data-original-height="756" data-original-width="978" height="309" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiwX1tCPPRQbh89_GuRNJVI5cN2PSgtbyzo7KwtePPU2nntuEf3EJj76vH6uaNz_0kyKQePI3A8kENdDCqzito4tJ0IGhw_4jVM7AJZ7TGSSRWQmWF8u5-5jdlp6WzaOdfhlQA_tdx-IwDaloulx8nSL2aUl9SNIR2AGImSU27LDMBZn_6AW16B4hCL/w400-h309/whats%20the%20area%20factoring%20trinomials%20activity.jpg" title="factoring quadratics" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">A lot of factoring was a review from algebra 1. It seems to be one of those topics that can be reviewed every year. </span><span style="font-family: verdana;">We completed a lot of <a href="https://www.teacherspayteachers.com/Product/Factoring-Quadratics-Digital-Math-Escape-Room-6152766" target="_blank"><span style="color: #2b00fe;">factoring activities</span></a>. Finding GCFs of binomials and trinomials was more difficult for students than I had expected. The multiplication table helped as a support.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><b>Quadratic formula</b></span></div><div><span style="font-family: verdana;">The Quadratic Formula was another <a href="https://www.scaffoldedmath.com/2020/01/algebra-1-word-wall.html" target="_blank"><span style="color: #2b00fe;">algebra 1</span></a> review. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.scaffoldedmath.com/2020/01/algebra-1-word-wall.html" style="margin-left: 1em; margin-right: 1em;"><img alt="Quadratic Formula" border="0" data-original-height="1118" data-original-width="1129" height="396" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgMPJDEtb2vGXZRchi_ip5oWrqALUhCQPuVUU0abLIilRbUqnz1GuL3D4FSs_Hj1FlnrTHHpxvSUNJrKDt0oWlA-MUvHX6ngVmecAOhc12XH0Q7ilqiKr346kvboErojEyTlMojubRwRxpGLldr9EfLpHQF7NPRG6Yx1PWXDkHdNKZIBseP7UsgMMzt/w400-h396/Quadratic%20Formula%20word%20wall%20reference.png" title="Quadratic Formula" width="400" /></a></div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">Even so, we practiced with the formula a lot. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.scaffoldedmath.com/2017/02/free-quadratic-formula-warm-up-template.html" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Quadratic Formula warm-up template" border="0" data-original-height="720" data-original-width="720" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgt5JHydBJuV1fd8MtYhmyQIrRFnima1PyqQbeH1cDhwzLhoO6YvWLIjzT4Sk-XPv25PH8IajEpJ8zefqa0edD2Cs69mlkCwjgJEtdfTzL5VheYSoFHwykBn4k79eIvDVlcDpYZYEM6EziMCIRYZa7mDd4DhJwCJi2Rdx1hhx7IvIk_m21tKfDJFPvM/w400-h400/Quadratic%20Formula%20warm%20up%20template.jpg" title="Quadratic Formula warm-up template" width="400" /></a></div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">Students used a <a href="https://www.scaffoldedmath.com/2017/02/free-quadratic-formula-warm-up-template.html" target="_blank"><span style="color: #2b00fe;">Quadratic Formula template</span></a> for their warm-up throughout the unit that helped organize the constants.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><b>Complex numbers</b></span></div><div><span style="font-family: verdana;">We did a quick jump to learning about <a href="https://www.teacherspayteachers.com/Product/Complex-Number-Operations-Digital-Math-Escape-Room-6410702" target="_blank"><span style="color: #2b00fe;">complex numbers</span></a>, then went back to the Quadratic Formula so see how they show up there.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh5is3cSAAfgpcO_ciQkFu1H0vzvfp4hHj6_xgHLLeOavnKnswMQqyTpzebr8773-YoDibE5uGJqpdqlq9iRnv412Oie1KiDlTwd9r8vw9ZrIHui96q5BO0slphIawun607hnQ3KbKFFKxMOjlFD10BbzFiWSG6xS-R-H0P4B_W6VtJjskdzB07XAqp/s1125/patterns%20of%20i.png" style="margin-left: 1em; margin-right: 1em;"><img alt="patterns of imaginary numbers" border="0" data-original-height="1125" data-original-width="1125" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh5is3cSAAfgpcO_ciQkFu1H0vzvfp4hHj6_xgHLLeOavnKnswMQqyTpzebr8773-YoDibE5uGJqpdqlq9iRnv412Oie1KiDlTwd9r8vw9ZrIHui96q5BO0slphIawun607hnQ3KbKFFKxMOjlFD10BbzFiWSG6xS-R-H0P4B_W6VtJjskdzB07XAqp/w400-h400/patterns%20of%20i.png" title="patterns of imaginary numbers" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">When students asked why there are imaginary numbers, I flicked the lights on and off and mentioned that we need the square root of -1 to explain the way electricity flows.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Complex-Number-Operations-Digital-Math-Escape-Room-6410702" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Complex Number Operations Digital Math Escape Room" border="0" data-original-height="816" data-original-width="1248" height="261" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEihmimk7t8OrllGjfik6nxrb1r7NwF4PWlSNXmQWFMiljN1isYdmHjyMotI30C5tj_Y9k3PrlVAPEDX7pioqSoicbHXnNOo2LcYijs6UOqF-Qvy44zAMiDhMPrmxA3bmUpMMJJgHGEIBlvPVacG6YTBHnGs3J864SFFYXSBGm-f6wZ1RUZPK2n203-X/w400-h261/complex%20numbers%20digital%20math%20escape%20room.png" title="Complex Number Operations Digital Math Escape Room" width="400" /></a></div></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><b>Graphing quadratics in all forms</b></span></div><div><span style="font-family: verdana;">We then move to graphing quadratics in <a href="https://www.scaffoldedmath.com/2016/12/graphing-factored-form-quadratic.html" target="_blank"><span style="color: #2b00fe;">factored form</span></a>.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.scaffoldedmath.com/2016/12/graphing-factored-form-quadratic.html" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="graphing quadratics in factored form" border="0" data-original-height="540" data-original-width="540" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjhM4l_nUz5oGdzmuFrqNvi2vE3e_pvIgGXHbNHFfqMdj8kVuKe1yWO7_w-vaoJHRX86EzzOgBnbthXX_yN7ZG5I_hE__of1ygc15GJAkgaYpf7pfPCIrTrLbq5dvl0JNehi1n1cuRNci3dtcxrx-Fy7zQgku1UZ0Txu9ax1Oy31goiJci5T1fyhgeh/w400-h400/quadratics%20in%20factored%20form%20cheat%20sheet.png" title="graphing quadratics in factored form" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">We compare the axis of symmetry formula to finding the mean between 2 numbers. We also use the up 1, over 1; up 3, over 1... pattern when the quadratic's a value = 1.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh2HWBUTcRuzYqcMTXWEP-arNww9jFSOluNjFIyP30iPXYv8-OLCLsRJIdUy3dR_5OJYy1xq0pIuFQ8ng4zDspVCPRuPXyxE9P30NrD6kSP4dwH2OqO_SC7B2AEQoNxToxMwK4akFCm9V3p9u4uMa2lA1w-zFV4TEPH5-5cZhKn4S72u5eRmPbqj1Tp/s596/factored%20form%20quadratics%20tasks.png" style="margin-left: 1em; margin-right: 1em;"><img alt="graphing quadratics in factored form activity" border="0" data-original-height="596" data-original-width="596" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh2HWBUTcRuzYqcMTXWEP-arNww9jFSOluNjFIyP30iPXYv8-OLCLsRJIdUy3dR_5OJYy1xq0pIuFQ8ng4zDspVCPRuPXyxE9P30NrD6kSP4dwH2OqO_SC7B2AEQoNxToxMwK4akFCm9V3p9u4uMa2lA1w-zFV4TEPH5-5cZhKn4S72u5eRmPbqj1Tp/w400-h400/factored%20form%20quadratics%20tasks.png" title="graphing quadratics in factored form activity" width="400" /></a></div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">I like point out the pattern that emerges when we graph quadratics. For a quadratic with an a value of 1, the <a href="https://youtube.com/shorts/jUkQMv-rdO4?feature=share" target="_blank"><span style="color: #2b00fe;">pattern from the vertex</span></a> -- up 1, over 1; up 3, over 1; up 5, over 1, up 7 over 1 -- helps find additional coordinates once the vertex is found. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><b>Quadratic word problems</b></span></div><div><span style="font-family: verdana;">This is one of my favorite units in algebra 2 because of how much students learn. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.scaffoldedmath.com/2022/04/numberless-quadratics-activity.html" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="numberless quadratics activity" border="0" data-original-height="540" data-original-width="540" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjpolm-cuecrmzrHjSMB2HEGnehTHjjmSx8YMtyFwAKoEAW88E0yhqgnY18JPf6g1uqu9BGvGX-0JrOg_hCdCnP0DujmRJtgeIk6t6hZs1nxJADcbx5__1RrhEUwXDp0ob9qzQ5nQ_Be-PtZjZp9103y1lcPTEtsZuzHiiG4_wSLgKcyokQRzIkGRGK/w400-h400/numberless%20quadratics.png" title="numberless quadratics activity" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">We start with a <a href="https://www.scaffoldedmath.com/2022/04/numberless-quadratics-activity.html" target="_blank"><span style="color: #2b00fe;">numberless quadratics activity</span></a> that helps students with identifying the parts of the parabola they are being asked to find. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.scaffoldedmath.com/2016/10/quadratics-posters.html" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="quadratic keywords poster" border="0" data-original-height="540" data-original-width="540" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjSLY1k4Q7eMFAFHnfQPw8U-A0jP9Gmbhg3-Wk6G-dDls0BI11CA2-RxHy9tz2OGidu_2EMp7tnSrjhDLc24DlZQw87dmv-yHtzmZ5OP9FdaPKQe1pc2Of3hwrJ9ykOCuIepOU3aumpXdjbHzvnARxtPjP3ifgyaXZcEOcYJRolvFAzupbReD38RwRx/w400-h400/quadratic%20keywords%20poster.png" title="quadratic keywords poster" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">We had a <a href="https://www.scaffoldedmath.com/2016/10/quadratics-posters.html" target="_blank"><span style="color: #2b00fe;">quadratic keywords poster</span></a> as part of our math word wall so that students could get a quick vocabulary refresher if needed. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Quadratic-Word-Problems-Task-Cards-TRINOMIALS-print-and-digital-1291583" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="quadratic word problems" border="0" data-original-height="405" data-original-width="405" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiI_FJI8iTnTurPzLh6F90fjeofwTYV7L1GJFybJyxrp_lmWkeDUurflTJj5zpbUDqOLeI5EAhh-0LiJg1lzIayPECc_2BxjqAB_iQ5rzIgjfHKX1e-0oUoJ1xIDdhL8fEEnjfJ5cAgpjRn2XEbFKmqARCcUbypIRfL8v5yNpcw_-ZKLWjmjPZpGW6Y/w400-h400/quadratic%20word%20problems.jpg" title="quadratic word problems" width="400" /></a></div><br /></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">Students practiced solving <a href="https://www.teacherspayteachers.com/Product/Quadratic-Word-Problems-Task-Cards-TRINOMIALS-print-and-digital-1291583" target="_blank"><span style="color: #2b00fe;">quadratic word problems</span></a>, finding maximums, minimums, zeros and y-intercepts.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.scaffoldedmath.com/2016/10/quadratics-posters.html" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="graphing calculator reference poster - left bound/right bound for zeros and maximum vertex" border="0" data-original-height="540" data-original-width="540" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEihfm2eVh4cr70udhGEy1n24pBKTfXpkcUcKDps9LtX90JK-13jqx6WATZzS7lhF33dTX8AESt5mQNZLEj0rVBs6ZkbUTjsAIgdQns05lIJJsVBWi3JYiWMSNyeFRQvoUDPN6ozoGVO2ujqg8L8efqjXkJ1RulpdSX1S4hIQlzI8Dzv4WQeaXN3bK74/w400-h400/left%20bound%20right%20bound%20poster.png" title="graphing calculator reference poster - left bound/right bound for zeros and maximum vertex" width="400" /></a></div><div><br /></div><div><br /></div><span style="font-family: verdana;">Students needed a lot of practice and reminders for how to identify <a href="https://www.scaffoldedmath.com/2016/10/quadratics-posters.html" target="_blank"><span style="color: #2b00fe;">left bound/right bound</span></a> cursor placement on the graphing calculator. </span></div><div><span style="font-family: verdana;"><br /></span><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><b>Solving radical equations</b></span></div><div><span style="font-family: verdana;">Next we moved on to <a href="https://youtu.be/cG-MYpJbUT8" target="_blank"><span style="color: #2b00fe;">solving radical equations</span></a>.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://youtu.be/ejsWHl62EXI" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img border="0" data-original-height="662" data-original-width="1175" height="262" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiBoNLDsXZ0msf_nurC9b7BE6jpA4JyLnrgde1GKPNM48rbPG1qnG3Lfm1whDXZiU0Yk_HuYcaovhUiJo68hFiaK_-m277FgCQ2Zoq36nD96obg1w02yQcdOKL5dUn7GJSjkFjarmifAMI-ahXShq6Ozy8HAQ8WuT38UPmcYQxKRKQlYoa9xz8lq7Ep/w466-h262/extraneous%20solutions.JPG" width="466" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">We analyzed the "invisible" part of a radical graph that would be there if the radical was 1:1 with its quadratic inverse, and related it to the radical equation's <a href="https://youtu.be/ejsWHl62EXI" target="_blank"><span style="color: #2b00fe;">extraneous solution</span></a>. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgZ26bkEHCEDg3iHCYORkN_pVr7-PK9ZsE1I_3Wf_o3QTBXFHS120KkaWkwUEMIjlNt4cQdrdU0P-BSkd143rBAeHQmeNvB9a6hadVuN44mzIe-Qqlbq4-DzZY4RJ2d_P2Ve6qfgAeFBJKv_slw0wk0JcWC5F_hQt8xTpYxeAI6ucyV3FU-NhrUSTwO/s405/radicals%20task%20cards.jpg" style="margin-left: 1em; margin-right: 1em;"><img alt="solving radical equations" border="0" data-original-height="405" data-original-width="405" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgZ26bkEHCEDg3iHCYORkN_pVr7-PK9ZsE1I_3Wf_o3QTBXFHS120KkaWkwUEMIjlNt4cQdrdU0P-BSkd143rBAeHQmeNvB9a6hadVuN44mzIe-Qqlbq4-DzZY4RJ2d_P2Ve6qfgAeFBJKv_slw0wk0JcWC5F_hQt8xTpYxeAI6ucyV3FU-NhrUSTwO/w400-h400/radicals%20task%20cards.jpg" title="solving radical equations" width="400" /></a></div><br /><div><br /></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><b>Polynomials</b></span></div><div><span style="font-family: verdana;">Sketching polynomials was another favorite unit because of all the learning that happened. At first, students think the equations are far too complicated-looking to ever be able to graph. But within a few days they are able to do it. We started with naming polynomials then moved on to sketching.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Algebra-2-Word-Wall-print-and-digital-math-vocabulary-1964059" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="sketching polynomials" border="0" data-original-height="933" data-original-width="844" height="446" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhlPLURohuNSpgqg6FW3Ha6aphfpJVZvOsl1R9CTBJj5WzWLWHxhGJV6E29ROQvq_imdBDXpI2ulv-QnBPuHTVLRjakIig7IcWxkh5Ca58FB2j7g7BqCd6oIYKZ-ZRvul5qhhMAxlTFakQJBxTT5iwsprfvw7eWJrP-xYYhQcG3HzyMQ4jopENFjqyO/w403-h446/sketching%20polynomials.png" title="sketching polynomials" width="403" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">The polynomials section of our <a href="https://www.teacherspayteachers.com/Product/Algebra-2-Word-Wall-print-and-digital-math-vocabulary-1964059" target="_blank"><span style="color: #2b00fe;">algebra 2 word wall</span></a> helped students identify zeros, bounces, crosses, zeros and end behavior. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><br /></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.scaffoldedmath.com/2017/05/sketching-polynomials.html" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="sketching polynomials cheat sheet and warm-up template" border="0" data-original-height="1200" data-original-width="1200" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEitzLXEy1zMQj-_SpiUKh6476XFkltoBT4OcMqDr0FQjdC39iQbIJFKWuUorQpxWXvoVrjo6FEoe8DByv6WR1kyd270SdDORVE6-p7_Ln1fyHnPKm5gwagkxMyN8Rt6Nv29SqLbqTeZM72tcRBdDNHo8J6b_VRvmfGpq85mjw4QEttvEWRq1UJ9_du1/w400-h400/polynomials%20cheat%20sheet%20and%20quick%20check.png" title="sketching polynomials cheat sheet and warm-up template" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">We used another template and cheat sheet for sketching polynomials. With all of the warm-up templates, students grabbed one on the way to their seat and completed it based on the information on the board.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><b>Inverse functions</b></span></div><div><span style="font-family: verdana;">Usually the last unit we'd get to in small group was our inverse functions unit. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.scaffoldedmath.com/2022/01/how-to-find-inverse-functions-with-a-hole-punch.html" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img border="0" data-original-height="400" data-original-width="400" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhUjoj1Ip6-KeFNV1c67T1v280vcacxmM0A94AGcbmZG3rAMozD_5vIxbIrjMUDjIrB4FpWvScUo_CKtydum-hAFLsaiRdSTkV5NMBM9HYPVw7TN8ioNiUhtil2FZpwOYhtWbYHRD6_kd9Zq0m8sUk1c9KnOTMUluebIll_xBv4JHngJ9udniw6OVD6/w400-h400/inverse%20functions%20hole%20punch.jpg" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">A hole punch can be used to investigate inverse functions in the coordinate plane (<a href="https://www.scaffoldedmath.com/2022/01/how-to-find-inverse-functions-with-a-hole-punch.html" target="_blank"><span style="color: #2b00fe;">post and video</span></a>).</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhv4F7E3z3AZxyOyZDdk-XnpF_dVtAxq8mbtZ1funziKjQfpLM1eF7ce06o9k7jf5JXPipMN0UFITFa4xHxUX2wxusSPoldNUNW5Cq1HBCmBgpdl8awHGcYMHeFE8I4kFo9-PRrgBWc0CSZ-y-POsbGxBTupSY0cT1fB8vGBkWThyG-Co23yxyFOQS9/s405/inverse%20functions%20matching%20activity.png" style="margin-left: 1em; margin-right: 1em;"><img alt="inverse functions" border="0" data-original-height="405" data-original-width="405" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhv4F7E3z3AZxyOyZDdk-XnpF_dVtAxq8mbtZ1funziKjQfpLM1eF7ce06o9k7jf5JXPipMN0UFITFa4xHxUX2wxusSPoldNUNW5Cq1HBCmBgpdl8awHGcYMHeFE8I4kFo9-PRrgBWc0CSZ-y-POsbGxBTupSY0cT1fB8vGBkWThyG-Co23yxyFOQS9/w400-h400/inverse%20functions%20matching%20activity.png" title="inverse functions" width="400" /></a></div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">By this time of the year, my juniors were the oldest students in the building because the seniors had already left, and were very excited for summer.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Inverse-Functions-Digital-Math-Escape-Room-6785216" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Inverse Functions Digital Math Escape Room" border="0" data-original-height="816" data-original-width="1248" height="261" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEghE0Lyl7_g1yi0usNR9mPA9U8Q8HLHt3W5mLdHhRP2CjFGmDmPwF-1auQExQ-kwr0lifMm_o7SCdllqsZXWEP5TtE1N3h8VX_aUg9rTGCs3xLDba50eV7ug6kPO08Gwejeh99oRYtNUv514923w0fWHCKWnuBhiyLYsJmomkd3VBtI_PmDBe9FQYXW/w400-h261/Inverse%20Functions%20Digital%20Math%20Escape%20Room.png" title="Inverse Functions Digital Math Escape Room" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><i><b>In algebra 2 inclusion:</b></i></span></div><div><span style="font-family: verdana;">To help support students in our inclusion algebra 2 class, I made a series of cheat sheets for student notebooks:</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><b>Polynomial long division</b></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.scaffoldedmath.com/2017/10/polynomial-long-division-in-algebra-2.html" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Polynomial long division" border="0" data-original-height="1646" data-original-width="1646" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgckNjcCbmW9AwGbf3UqUaU4gah0op-AfePebq7IosDYgM0i8IIoq7VRXFeoZcXPARB8n0WKow4UPEmal_MrcnKLvWRKV6pxf-F46Rafmsn2pFr6KdQKWaZEO22ty_ra7qACSUSWH-MaSYtZDH08U3SZFwXkMB1UchZMe7a_A7HSTjKcSIR9BayOi3m/w400-h400/polynomial%20long%20division.png" title="Polynomial long division" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><b>Synthetic Division</b></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.scaffoldedmath.com/2016/01/synthetic-division-in-algebra-2.html" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Synthetic Division" border="0" data-original-height="1430" data-original-width="960" height="498" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhQvN61p1UJsdhk9Htg29dXbz1AJqXylBAdrKc0NAYL1esxWMGiYmTjP7ElJZ8rTVOuKfnMx_RHBOcijsUA6JL2hYk5gNBuziOerZoITSxWAaLkGeOS_H9o8o8TEghcy3AYA846zmeYsH5F3o7qC3ryqAIeHB9AbwllnX19kGI117d4d4ZIqYfmX7OM/w335-h498/synthetic%20division.jpg" title="Synthetic Division" width="335" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><b>Exponential functions</b></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.scaffoldedmath.com/2020/01/how-to-graph-exponential-functions-by-hand.html" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="graphing exponential functions" border="0" data-original-height="960" data-original-width="960" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEik9jfWlEyEBcZp757RQkHDtbGnkav8uMH77UYEQ_54JVhEDJiVOAQcGMV1JlfYBiebcStgVyrx-1Wl0q1dZbrMRtPgpKAVok2pLiy6H1gRzOnrbG2pB_ULERjxnMX5-yIonQukWY5hAfYY3HmP1FUpOU2p20_8NrpdBQHeumrxx10tZf4Ik0lvdlET/w400-h400/exponential%20functions.jpg" title="graphing exponential functions" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><b>Logarithms</b></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.scaffoldedmath.com/2018/03/graphing-logarithmic-functions.html" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="graphing logarithms" border="0" data-original-height="2448" data-original-width="2448" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhV7qKSg0H0U4xQsPaOVPPZHZp_Hb3txWXTfVDgg2A96SL4_tNlo72bdA_fzOp7oM-eFJqwCnBVsDPsI2-HozC3H9xrKeS79ueM-6P_7LMdAZNpHecS2kK9-Zk3kqTg4f1K7IhiFUNo_NddMhYWpDQYpwCVhMrScMeTUwABFcINFWhvxKteAIQNVd2D/w400-h400/graphing%20logarithms.jpg" title="graphing logarithms" width="400" /></a></div><div><br /></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><b>Graphing rational functions</b></span></div></div></div><div><span style="font-family: verdana;"><b><br /></b></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.scaffoldedmath.com/2016/06/graphing-rational-functions-reference.html" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="graphing rational functions" border="0" data-original-height="1064" data-original-width="798" height="465" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHtxSLJCXTlDOXdQYFnerUhUHx0BEiLoIYDzOrgt1bIYakCLO_URBZT9KdpHr9yIjw3F6VoSipqFdLZzUrW3TanSb6HoCMD_BDGukRAgWoVAFsPW2Rgpq9LoZ7zPW4dWFihYcNiawEf_f2E5CEm1ZOyrCyfVLcWsmCUcQNlD2iAyRuZFZVss5qji3q/w349-h465/graphing%20rational%20functions.png" title="graphing rational functions" width="349" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">I hope this post has been helpful if you are a small group or inclusion algebra 2 teacher.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://shopscaffoldedmath.com/products/algebra-2-activities-bundle" target="_blank"><img border="0" data-original-height="677" data-original-width="677" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEheQBwomoqfwiZcOuQAKGoMOsg_nl4GwdXVtB7g7T3yYX4vLA0jcMJxEZgDEDLSfJ5ZqBY55VrkD0tSbL9nABStpaTdcMa4eJf8R1pQMAvDYg-MwWB7s3qWterQJWPDPrPdAtwEz9HSmCT3y_vcirExb94v7yVo2W1vKf71g21EM6MJgOwebVurLWZr/s320/Algebra%202%20activities%20bundle.png" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://shopscaffoldedmath.com/products/algebra-2-activities-bundle" target="_blank"><span style="color: #2b00fe;">Algebra 2 activities bundle</span></a></td></tr></tbody></table><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://shopscaffoldedmath.com/products/algebra-activities-bundle-with-digital-updates" target="_blank"><img border="0" data-original-height="768" data-original-width="749" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhq8xenOgI6Kru9bqtwFDnlb4gFi1G0WJn3Vc6HdvI4ia9Ueu4n9e4o480BdWuejAEimiLmHkG7EYPbde5nLt0p7ZZmfuMKrI1uFZiUSa2nciNej1agtMw2BOGCdOa4XINxnaBdHvyC-Zrz2A430IhctrQc8rlQX2cR0Gn-JWjxMoj4ZLXflRAg3CP3/s320/algebra%20cover.png" width="312" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://shopscaffoldedmath.com/products/algebra-activities-bundle-with-digital-updates" target="_blank"><span style="color: #2b00fe;">Algebra 1 activities bundle</span></a></td></tr></tbody></table><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div>ScaffoldedMathhttp://www.blogger.com/profile/12991099683629425350noreply@blogger.com0tag:blogger.com,1999:blog-969821499728229660.post-90507868193126507582022-06-13T20:47:00.000-04:002023-06-15T10:46:12.493-04:00Stick Figure Functions<div style="text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Stick-Figure-Functions-9612567" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Stick Figure Functions" border="0" data-original-height="1453" data-original-width="1497" height="389" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj0aQ96YL_kCi_gzseOoTKeFnExOGDhGvJtNiFoNgH_nSWgJFfrJCWyLh6d71Emim5UxYlkMtrysnClbVXRO1s-PPd8xN2-JIJunt3zvySRVcHsdflpYvL_5-46GRTJyeLVFqXLOKHMhQYzkp5AEiJAMQD83riIsHWQkkYIln5Vp_BeOV0FgvLuLBWY/w400-h389/stick%20figure%20functions%20cutout.png" title="Stick Figure Functions" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><span style="font-family: verdana;">Can you pose your stick figure into each of these 12 functions? Students build then pose their stick figure into algebraic functions as a fun, hands-on experience to learn and review algebraic functions. </span><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">Inside this download is a functions stick figure cutout and a functions worksheet. The worksheet is a 12-functions guide for students to use to pose their stick figure. Students can then sketch each function on their worksheet. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><span><a name='more'></a></span><div style="text-align: center;"><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://youtube.com/shorts/obYyzgpNqWM?feature=share" target="_blank"><img alt="Stick Figure Functions" border="0" data-original-height="938" data-original-width="855" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg-4S4SkZSSOIdT7RneG1sBgxaUmT5U3YUZeTkZ6vgcMWhfC-6ipKGhY_ljEFkKZ56kxHgZVKEcjdGVGIrF_SNR1-Ralqt3aKTs1RenMjHVVNuXAp16OHuPQOiXD7Q6KJsmeYZLjyqcqG5Pl2B_fMpKv4GKX7OMj3026QypMKK9HTNqiLT655KEZksO/w292-h320/thumb%202.jpg" title="Stick Figure Functions" width="292" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://youtube.com/shorts/obYyzgpNqWM?feature=share" target="_blank"><span style="color: #2b00fe;">video</span></a></td></tr></tbody></table><br /><div style="text-align: left;"><br /></div></div><div><span style="font-family: verdana;"><b>Functions students can build:</b> </span></div><div><span style="font-family: verdana;">y = x </span></div><div><span style="font-family: verdana;">y = -x </span></div><div><span style="font-family: verdana;">y = x^2 </span></div><div><span style="font-family: verdana;">y = -x^2 </span></div><div><span style="font-family: verdana;">y = x^3 </span></div><div><span style="font-family: verdana;">y = -x^3 </span></div><div><span style="font-family: verdana;">y = sqrt(x) </span></div><div><span style="font-family: verdana;">y = -sqrt(x) </span></div><div><span style="font-family: verdana;">y = |x| </span></div><div><span style="font-family: verdana;">y = -|x|</span></div><div><span style="font-family: verdana;">y = b^x</span></div><div><span style="font-family: verdana;">y = -b^x </span></div><div><br /></div><div><br /></div><div><span style="font-family: verdana;"><b>Materials needed:</b> </span></div><div><span style="font-family: verdana;">- scissors to cut out the stick figure </span></div><div><span style="font-family: verdana;">- a sharp pencil or thumb tack to poke holes </span></div><div><span style="font-family: verdana;">- 3 metal brads </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><b>Included inside:</b> </span></div><div><span style="font-family: verdana;">- stick figure cutout </span></div><div><span style="font-family: verdana;">- functions worksheet </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">Instead of having each student make their own stick figure, you can use one as a whole-class reference of each function, or have students pose the stick figure into different functions as you review them throughout the year!</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div style="text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Stick-Figure-Functions-9612567" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Stick Figure Functions" border="0" data-original-height="960" data-original-width="960" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEim_0OvKFdJgQWFOh0FHB7QWtffO6bOoMupAqr_qT4zEcoDQ5Lca1Suydyd4Phu8jH6JXWy_Pr_SAa1hsqBhUKbTu3tbP-lugiLrLC8PW3dGWfVoFgkZiMh6glh-TpABiziqixKo6fyXPLydAp-LcY1qGEZXzfamp_jVZdRKeRl5AeDRgrUK9tUeeMM/w320-h320/stick%20figure.png" title="Stick Figure Functions" width="320" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div style="text-align: center;"><span style="font-family: verdana;"><a href="https://www.teacherspayteachers.com/Product/Stick-Figure-Functions-9612567" target="_blank"><span style="color: #2b00fe;">DOWNLOAD STICK FIGURE FUNCTIONS</span></a></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div>ScaffoldedMathhttp://www.blogger.com/profile/12991099683629425350noreply@blogger.com0tag:blogger.com,1999:blog-969821499728229660.post-71857700743532952172022-06-11T14:31:00.001-04:002024-02-28T13:39:46.626-05:00Understanding Car Insurance: new consumer math curriculum unit<p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://www.scaffoldedmath.com/2022/06/consumer-math-curriculum.html" style="margin-left: 1em; margin-right: 1em;"><img alt="Understanding Car Insurance: new consumer math curriculum unit" border="0" data-original-height="934" data-original-width="1125" height="333" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiN3yNRveUuUthxRC0-pPrHIUdahnq-HQsaNureVuI4pjLZhOp9o5QTf1P00DKiPLaTYYeQWhOEaZCoLx_vev2Wpe5oD7F5njzqfPmYfldC2bUt7s_-Bkpx3BT4IJtF-58wJ52UGCnu0GgkIxFqPR7TXuLwH_j1RXPF4y76oAICgIJLsC2ONtP9m7RG-ME/w400-h333/car%20insurance%20unit%2017.png" title="Understanding Car Insurance: new consumer math curriculum unit" width="400" /></a></div><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;">Over the weekend, I added a car insurance unit to the <a href="https://www.scaffoldedmath.com/2022/06/consumer-math-curriculum.html" target="_blank"><span style="color: #2b00fe;">Scaffolded Consumer Math Curriculum</span></a>. If you already own the curriculum, this is a free addition.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">I consulted with two car insurance experts to build this unit so that I got it right. Car insurance laws vary state to state, so it's important to talk to a live insurance agent when looking for and deciding on a policy. In the case of an accident, it's much better to have an insurance agent to call than to muddle through trying to file a claim on an app.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">For teenagers and young adults, it's important to have an understanding of what coverages are needed and what accidents are covered under each type of insurance. I even ended up with questions about my own car insurance policy while building this unit! </span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">Most states require some level of car insurance coverage, called compulsory coverage. This coverage helps pay for injuries and some damages if you are in an accident. You then have the option to add additional coverages, including comprehensive and/or collision insurance, to your car insurance policy for added protection.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">Do I need comprehensive insurance? This depends. If you are worried about storm damage, or about hitting an animal while driving, then you may want to add comprehensive insurance to your car insurance policy. You will also likely need comprehensive if you lease your car or are still paying a loan. </span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">Do I need collision insurance? This also depends. Collision insurance significantly increases the cost of a car's insurance policy, so if your car is old and paid off, you may want to skip it. You will likely need collision insurance if you lease your car or are still paying a loan. If you are in an accident, even if it is your fault, collision insurance will help cover the cost of repairing your car. In some states, collision insurance also covers hit and run accidents, though some states have these accidents covered under underinsured auto insurance. It’s important to talk to your insurance agent about your state’s insurance rules so that there are no surprises if and when you are in an accident, whether it is your fault or not. </span></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh7RAvjYeBJICy0RE3-doC9jZdZPoLuEVFsr_EP3aS_BdyLyYLE9FJHoyEk54fI88fFn8A22B-6ssvwCtepz4H_CZCYJnaMRNR5G_cUwAe2RDv7TEHpaJRi3y5xk97y3lGTTpcLzPAvV_yvn7VHmdrd926dHrOWZbzkD-2fSW9wNCop1I5lYcmE9OzmcJQ/s1125/car%20insurance%20unit%2017%20accident%20scenarios.png" style="margin-left: 1em; margin-right: 1em;"><img alt="New car insurance unit in the Scaffolded Consumer Math Curriculum. This photo shows how the student text and student notebook sheets align." border="0" data-original-height="1047" data-original-width="1125" height="373" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh7RAvjYeBJICy0RE3-doC9jZdZPoLuEVFsr_EP3aS_BdyLyYLE9FJHoyEk54fI88fFn8A22B-6ssvwCtepz4H_CZCYJnaMRNR5G_cUwAe2RDv7TEHpaJRi3y5xk97y3lGTTpcLzPAvV_yvn7VHmdrd926dHrOWZbzkD-2fSW9wNCop1I5lYcmE9OzmcJQ/w400-h373/car%20insurance%20unit%2017%20accident%20scenarios.png" title="New car insurance unit in the Scaffolded Consumer Math Curriculum. This photo shows how the student text and student notebook sheets align." width="400" /></a></div><br /><p><span style="font-family: verdana;">Just like curriculum units 1-16, the new car insurance unit includes a printable student book chapter, a printable teacher book chapter, warm-ups, student notebook sheets, PowerPoint notes that match the student notebook sheets, an editable quiz and all answer keys.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">The vocabulary covered in the unit includes: <i>insurance company, car insurance policy, liability insurance, comprehensive insurance, collision, premium, actuary, surcharge, compulsory insurance, deductible, limit, claim, out of pocket expense, total loss</i>.</span></p><p><span style="font-family: verdana;"><br /></span></p><p></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://shopscaffoldedmath.com/products/scaffolded-consumer-math-curriculum" target="_blank"><img alt="Consumer Math Curriculum" border="0" data-original-height="960" data-original-width="960" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg_kD1XeVWTTesFhguQ5U6mgs8_gl1tIUk5WiHYIVDxx7XnHLDmlc4EkmoWOzyDCi_lt2CYLEv51sQjqkCCo-AHQ2ZeslhUzU8wHHJvVCdWap4Gu4UVgTNAD6H9T5WsXoq5Jo-gQ869mqby5s6O9nGkgCwRYmRgLpJsojWTwVxL4pSwNN1ZwO5NjifGmwc/w320-h320/cover.png" title="Consumer Math Curriculum" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://shopscaffoldedmath.com/products/scaffolded-consumer-math-curriculum" target="_blank"><span style="color: #2b00fe;">Scaffolded Consumer Math Curriculum</span></a></td></tr></tbody></table><br /><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;">You can find the Consumer Math Curriculum </span><a href="https://shopscaffoldedmath.com/products/scaffolded-consumer-math-curriculum" style="font-family: verdana;" target="_blank"><span style="color: #2b00fe;">here</span></a><span style="font-family: verdana;">.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"><span style="font-family: verdana;"><a href="https://shopscaffoldedmath.com/collections/consumer-math" target="_blank"><span style="color: #2b00fe;">Browse all consumer math</span></a></span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><br /></span></p><p><br /></p><p></p>ScaffoldedMathhttp://www.blogger.com/profile/12991099683629425350noreply@blogger.com0tag:blogger.com,1999:blog-969821499728229660.post-19058744582573110932022-05-13T10:45:00.059-04:002023-08-25T22:34:27.601-04:00Back to School in the Math Classroom<p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science/Category/-Back-to-School-Math-607242" style="margin-left: 1em; margin-right: 1em;"><img alt="Welcome back to school in the math classroom! In this post is a collection of free back-to-school math ideas, along with math classroom decorations to make your first days of school in the math classroom engaging and inspiring. From math classroom decor to bulletin board ideas, your math classroom is covered." border="0" data-original-height="519" data-original-width="540" height="385" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXaN9MkIKmt_EkLmQL2fq9nS7ojSNx4gKUDv9_YBTWVco371WIP2NuuwvJV9MimGbOfpBW7QzgAHicl6PX04Q0KlPhrTdqu8u8rG2esDcinYu5noDaiQxPb90gCu2SyJ4ZqwDBobtRSg0yNdKFBnfLqYHaA65mU-w3jiXeK0FHhQb2rpD2GN4Ud7v6/w400-h385/welcome%20math%20person%20poster.JPG" title="Welcome back to school in the math classroom! In this post is a collection of free back-to-school math ideas, along with math classroom decorations to make your first days of school in the math classroom engaging and inspiring. From math classroom decor to bulletin board ideas, your math classroom is covered." width="400" /></a></div><p></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">Welcome back to school in the math classroom! In this post is a collection of free back-to-school math ideas, along with math classroom decorations to make your first days of school in the math classroom engaging and inspiring. From math classroom decor to bulletin board ideas, your math classroom is covered. </span></p><p><span style="font-family: verdana;">Above is a </span><b style="font-family: verdana;"><a href="https://www.teacherspayteachers.com/Product/Welcome-Math-Person-poster-inspirational-math-classroom-decor-7047860" target="_blank"><span style="color: #0b5394;">Welcome, Math Person! poster</span></a></b><span style="font-family: verdana;"> to welcome your students back and to remind them that we are all math people.</span></p><p><span style="font-family: verdana;"><br /></span></p><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/How-to-Be-a-Math-Person-Poster-Math-Classroom-Decor-3854137" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="This How to be a Math Person poster reminds students all year that we are all math people." border="0" data-original-height="1125" data-original-width="1125" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEivigIUVWLUwjezS4q2Sp8uSR4H0xvrebWc-zP3T8KzeEuaVSaxm24m6BHM_lK-aVH6T6EpwiPN7oztDEV4CRoiHu3TfRLMeJif-5rEE4EH9B8Vin_AoYpFwKfYJfo_gHVg_Lgn6xivWoE_RdEYnfR_-sOXNT8Qm9B9I42wECzHCTOnQV5scB5JWgs_/w400-h400/how%20to%20be%20a%20math%20person%20poster.jpg" title="This How to be a Math Person poster reminds students all year that we are all math people." width="400" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><p><span style="font-family: verdana;">This <b><a href="https://www.teacherspayteachers.com/Product/How-to-Be-a-Math-Person-Poster-Math-Classroom-Decor-3854137" target="_blank"><span style="color: #0b5394;">How to be a Math Person poster</span></a></b> reminds students all year that we are all math people. </span></p><p><span style="font-family: verdana;"><br /></span></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/The-Fridge-Printable-Bulletin-Board-Letters-2056047" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Our classroom fridge was a place to hang graded student work. We used those super strong magnets that held all of the papers in place. Even my juniors and seniors liked seeing their work displayed." border="0" data-original-height="3024" data-original-width="3024" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjlRog35pbJSgV3xQubLshg4B9R6VvSljIbpKr_VUeQg8XX9HLOYnlhUHjGAMAGZRw_P3BUb4lPAolNlnug8SbgzMDHvgHgZ3nmviW93fnIf-hKGO1Gz-N1DcxFrzbQLjGqvLWefQKeXSOwMQ9vThe5DwprXwJ5PyOfuBay7-X7ZzXzDo8lbaEcsEBFGR8/w400-h400/fridge.jpg" title="Our classroom fridge was a place to hang graded student work. We used those super strong magnets that held all of the papers in place. Even my juniors and seniors liked seeing their work displayed." width="400" /></a></div><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;">Our classroom <b><a href="https://www.teacherspayteachers.com/Product/The-Fridge-Printable-Bulletin-Board-Letters-2056047" target="_blank"><span style="color: #0b5394;">fridge</span></a></b> was a place to hang graded student work. We used those super strong magnets that held all of the papers in place. Even my juniors and seniors liked seeing their work displayed. </span></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://www.scaffoldedmath.com/2019/09/teacher-hacks-to-keep-classroom-running-smoothly.html" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="math classroom hack -- hang math posters using hot glue on blue painter's tape" border="0" data-original-height="504" data-original-width="504" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEimAEBX99jAHjZkDFfK3pjvcHkKqsCKTWCanFZN7PCZvgXOSzmeG20vDMg7t1FyUlfddmBjjUpHCX2BDOYsckKfATl3cvIf97vEmX_HBvjMi7nZ38eq7y45_D9DsN3qEOG-Zj89O90R6OwVpZZuWrULk7AlFdUUrjSEPN1wYO1vJNooUxUQVw7wsmnf4tA/w400-h400/painters-tape-and-hot-glue.JPG" title="math classroom hack -- hang math posters using hot glue on blue painter's tape" width="400" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><p></p><p><span style="font-family: verdana;">I always used blue ticky tacky to hang my math word wall, but if you find that your posters fall off the walls, one classroom hack is to put blue painter's tape on the wall, then hot glue between the tape and your poster. At the end of the year, the painter's tape comes right off leaving no marks behind. </span></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Practice-Makes-Better-Printable-Classroom-Poster-math-classroom-decor-7627806" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Back to School in the Math Classroom - practice makes better poster" border="0" data-original-height="1500" data-original-width="1500" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjLwy5jEW7aJmpUY8TXM5Y0Uy9RjpbnrHqt83QWgFqJDVDeFPOmXK2lXrP4Wseqly0shiCt5Uc6iGdrEDcK_hXaFnu1rrqvgx3iwpjy0BJ0u5jSlP8eGOeMWCzs23IY41JEkqWkHYotk8M8N9wVxi1WOs8tdQOFEpcqeZ5trBhcttWAZZIZCWFrAlIE/w400-h400/practice%20makes%20better%20back%20to%20school%20poster%20for%20math.jpg" title="To remind students to keep pushing even when the math gets hard, this Practice Makes Better poster also comes in a version that reads Practice Makes Progress." width="400" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><p><span style="font-family: verdana;">To remind students to keep pushing even when the math gets hard, this <b><a href="https://www.teacherspayteachers.com/Product/Practice-Makes-Better-Printable-Classroom-Poster-math-classroom-decor-7627806" target="_blank"><span style="color: #0b5394;">Practice Makes Better poster</span></a></b> also comes in a version that reads Practice Makes Progress.</span></p><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/I-am-a-Math-Person-Self-Portrait-8441675" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Back to School in the Math Classroom - I am a math person self portrait" border="0" data-original-height="1138" data-original-width="894" height="510" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj3LFC0FoTUY3tUGk16ujqJh2A2oR3ST0X2iCRP35vAKonvVmARO_gaLRiEvl9C9hqnfRw_uWyo_xVd7p5G7Pj6iCNXZzGtMZYrAkjX3GEDi5tni-HTyQbanmxhm9vjCSVrId_UyRO_R1TFf0lBq4vX1Ql9kF8WEBKEiRUx4mkOjORc6vCJavT0FLIJ/w399-h510/I%20am%20a%20math%20person%20self%20portrait.jpg" title="Students make their own I am a Math Person self portrait to remind themselves everyday that they are math people." width="399" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><p></p><p><span style="font-family: verdana;">Students make their own I am a </span><b style="font-family: verdana;"><a href="https://www.teacherspayteachers.com/Product/I-am-a-Math-Person-Self-Portrait-8441675" target="_blank"><span style="color: #0b5394;">Math Person self portrait</span></a></b><span style="font-family: verdana;"> to remind themselves everyday that they are math people. </span></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/I-am-a-Math-Person-Self-Portrait-8441675" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Students' math person self portraits hanging on Ms. Alvarez's classroom door" border="0" data-original-height="4032" data-original-width="3024" height="510" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhU3MVl85PHfFTsJfIGUrec2_Fx3XKDfqexUlNs4SeynUqY-Bfbuync1iwpGgdJmJm2-nO1-yruVZ3_KWOr2KMF0EoVPND4b_0Hdq7aeFibNrMX9bWY4mAUyzu6MkcBeYIf0MYugHLT7pl5NeHIZfLc2lTfU2C6Hi-oQ_rFzNFzSgoCdRs65LcMaDg_gvk/w382-h510/Ms%20Alvarez%20self%20portrait.JPG" title="Students' math person self portraits hanging on Ms. Alvarez's classroom door" width="382" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><p><span style="font-family: verdana;">Ms. Alvarez shared this photo of her students' Math Person Self Portraits, and I love how unique each is.</span></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Divisibility-Rules-Math-Pennant-math-classroom-decor-3815249" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="divisibility rules math pennants" border="0" data-original-height="1512" data-original-width="1512" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEibGxxFGRzrp7qmcXVoiU-zYbj3vdUzlnEWbwgyetJf8NEfPBJ1kH3gC6bUzeRqS0AzH8NWTF6Gbx9iAVsTKcmhEvs1TcCyg-Ag9CA_cotC_-p0BfIkgBdKYb1qyQ8wOMFyNgjo7Zh-7TV2wB6oawBmhyeDjLghdLPBQnt7blgaO03SCyjuHPflGn-Fur4/w400-h400/7%20divisibility%20rule.jpg" title="divisibility rules math pennants" width="400" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><p></p><p><span style="font-family: verdana;">I added the new 7 divisibility rule to this set of <b><a href="https://www.teacherspayteachers.com/Product/Divisibility-Rules-Math-Pennant-math-classroom-decor-3815249" target="_blank"><span style="color: #0b5394;">divisibility rules math pennants</span></a></b>.</span></p><p><span style="font-family: verdana;"><br /></span></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEinwI7VnVx5gAsf__7OhIw75vfYh3ADWykwhy8sRvHpXNCx2Lel_NbVuBKsQ_210g7jsxATKCngiuRBk9Qj7dPknOHA4S2uEPHgzhinKTmfh-O66y9LJ4vOCMhLWBsTaf9mNE3IfJZU5xGHrCNeeDJYnmzzBXrbg6A8c3MS-F4N5oIp0FNp6653DcywSyA/s2048/take%20a%20break%20poster.JPG" style="margin-left: 1em; margin-right: 1em;"><img alt="This take a break classroom poster encourages students to take a break instead of giving up. Days will get hard and we all need breaks!" border="0" data-original-height="2048" data-original-width="1536" height="498" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEinwI7VnVx5gAsf__7OhIw75vfYh3ADWykwhy8sRvHpXNCx2Lel_NbVuBKsQ_210g7jsxATKCngiuRBk9Qj7dPknOHA4S2uEPHgzhinKTmfh-O66y9LJ4vOCMhLWBsTaf9mNE3IfJZU5xGHrCNeeDJYnmzzBXrbg6A8c3MS-F4N5oIp0FNp6653DcywSyA/w373-h498/take%20a%20break%20poster.JPG" title="This take a break classroom poster encourages students to take a break instead of giving up. Days will get hard and we all need breaks!" width="373" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><p></p><p><span style="font-family: verdana;">This <a href="https://drive.google.com/file/d/1NTZGd-4-tEKmYKKBxD5EJ0DMgwbmrU1b/view?usp=sharing" target="_blank"><b><span style="color: #0b5394;">take a break classroom poster</span></b></a> encourages students to take a break instead of giving up. Days will get hard and we all need breaks!</span></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/I-AM-a-Math-Person-Crown-8113270" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="I AM a Math Person Crown" border="0" data-original-height="2938" data-original-width="2938" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhVqhrLbp6YWdaTYakQZrHItm64icQS_tLdGvHtblCk2e_LlV6jASErDzgEM5uqQG_Z10kYHX8TiP0iExic-igmofStHg4IYLGxDZdq7qfwuntJ2K1wuJy7YB2_y4B7yncQCuWcqEOOpoYAQLelMA0QhpqZkeJrYw33JNPOAKug7fVayPFpMg0JvrX0/w400-h400/I%20am%20a%20Math%20Person%20Crown%20photo.jpg" title="I AM a Math Person Crown" width="400" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><p><span style="font-family: verdana;">Here is my daughter in her <b><a href="https://www.teacherspayteachers.com/Product/I-AM-a-Math-Person-Crown-8113270" target="_blank"><span style="color: #0b5394;">I am a Math Person crown</span></a></b>.</span></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://shopscaffoldedmath.com/products/back-to-school-math-pennant" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Back to School in the Math Classroom - back to school math pennant" border="0" data-original-height="1500" data-original-width="1500" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgMStMauFnkf0lxthvWt_uIhx-3fdhPQSMSr_IAbZgfYuU-zz0e3c0Lw23mfTEG7NFrlSLZ__bmr8-EYNb_PKMInedL2X4_PekK_OqCSsW1Y9HsPbE4RYibm67Qu2FsDLvLe81LP3PZaRYzM3TPSShDQhO84LOvGIUGuPaNWWt2j3lVqAeHhcb7uJJP/w400-h400/thumb%2001.jpg" title="This back to school math pennant activity has a Golden Spiral theme. Students can color their pennants based on get-to-know-you questions included in the activity." width="400" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><p><span style="font-family: verdana;">This <a href="https://shopscaffoldedmath.com/products/back-to-school-math-pennant" target="_blank"><b><span style="color: #0b5394;">back to school math pennant activity</span></b></a> has a Golden Spiral theme. Students can color their pennants based on get-to-know-you questions included in the activity. </span></p><p style="text-align: center;"><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science/Category/9632-MATH-WORD-WALLS-148595" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Back to school in the math classroom" border="0" data-original-height="720" data-original-width="720" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj4E0UdpS5NNTe0PCaNSgPvgxsYclUAZg3tlU2KsEuJomSW3Ox-HDSmocQlP1-1dO_VxDmpNwOtjogfHeqz2FiOeCXut9_o2sJPhfEBn31DM4RKK1bZnOjMTZy36rGOSdm6zsAcljlfZQHHevYihUToO4jvbQQ52DyFDCdzNj81JD1dlQrKfw0jR2cU/w400-h400/6th%20grade%20math%20word%20wall.png" title="Back to school in the math classroom - math word walls" width="400" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><p></p><p><span style="font-family: verdana;">A math word wall with bright visuals and examples will help more of your students access the curriculum. <a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science/Category/9632-MATH-WORD-WALLS-148595" target="_blank"><b><span style="color: #0b5394;">Math word walls for 2nd grade through algebra 2 are available here</span></b></a>.</span></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.scaffoldedmath.com/2019/03/financial-literacy-word-wall.html" target="_blank"><img border="0" data-original-height="757" data-original-width="600" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEigzb7AVinAdejfovtRIQRqYBA9c1IBatF_Pp4UV3fnFEq2qS7D5478h--YRbRKnbk9p08SUwolFfdmo2F2ohnbhtV05s948c0Prrx2YTjKTbjoGiwqPD0qB5ADlOMwXXfIp7T7VJxco9dRHdl8SBD-IueZ_vT-vOqnPEqSbBNrmFB5e-n0x6MJZSiCi0I/w318-h400/sprayed.gif" width="318" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.scaffoldedmath.com/2019/03/financial-literacy-word-wall.html" target="_blank">Laminated and sprayed with clear, flat spray paint</a></td></tr></tbody></table><br /><p></p><div style="text-align: left;"><span style="font-family: verdana;">Back to school tip: If you choose to laminate any of your classroom references, spraying the lamination with clear, flat spray paint will take the lamination shine away. If your references are already on the wall, clear, flat Mod Podge also works.</span></div><p></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">You can find all of my back to school math printouts here: <a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science/Category/9632-Back-to-School-Math-607242"><span style="color: #2b00fe;">Back to School Math</span></a></span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">I hope you have a great start to your school year!</span></p><p><span style="font-family: verdana;"><br /></span></p><p></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://www.scaffoldedmath.com/p/home.html" style="margin-left: auto; margin-right: auto;" target="_blank"><img border="0" data-original-height="480" data-original-width="960" height="160" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh_pEqwlcpWFhPZgRrbop55ZB7x5NMQF9Z2CUiatzufokuweUn-_FB9SuOoXY8xI2KCzwot5_uKZ6wc5VyTUQ5oc0oQS9SpyUoNE1Z_YRrcQZJm4XLhZdOd8WzBKTqiA2cKGiV-JqDOq28plCaBr7tu91s_CLEwKpqm1Pv4Xlc_wVJ0SfuFDSuB0PeaLQ0/s320/see%20more%20posts.jpg" width="320" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;"><span style="color: #2b00fe;">blog home</span></td></tr></tbody></table><br /><p><br /></p><p><br /><br /></p><span style="font-family: verdana;"><br /></span><p></p><p></p><p><span style="font-family: verdana;"><br /></span></p>ScaffoldedMathhttp://www.blogger.com/profile/12991099683629425350noreply@blogger.com0tag:blogger.com,1999:blog-969821499728229660.post-17381823153047703012022-04-13T13:09:00.003-04:002024-01-07T17:48:42.611-05:00Free Printable Unit Price Task Cards<p style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh7jU7ZfQb_MG6iLlCS4m0qgPiADBclSTiv3Qf9wJBpqgF-1tUFIhgYy2SOk_2Pbbx4waByJUaSCKwaV8NTNCaSa1LJ-Uni_3niimnjO8cBw6_O81Clpyqc3LnBAyTBqFT_CD54WGe3cJfyDvxScte-fzNnBHzHc7LU1rOdjC6ZbDz-THubb0MLtt6F/s1639/printable%20unit%20price%20task%20cards.jpg" style="margin-left: 1em; margin-right: 1em;"><img alt="Free Printable Unit Price Task Cards" border="0" data-original-height="1639" data-original-width="1639" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh7jU7ZfQb_MG6iLlCS4m0qgPiADBclSTiv3Qf9wJBpqgF-1tUFIhgYy2SOk_2Pbbx4waByJUaSCKwaV8NTNCaSa1LJ-Uni_3niimnjO8cBw6_O81Clpyqc3LnBAyTBqFT_CD54WGe3cJfyDvxScte-fzNnBHzHc7LU1rOdjC6ZbDz-THubb0MLtt6F/w400-h400/printable%20unit%20price%20task%20cards.jpg" title="Free Printable Unit Price Task Cards" width="400" /></a></div><p></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">Who doesn't love a good unit price fail? Once I started taking photos of unit pricing to take back to my <a href="https://www.scaffoldedmath.com/p/consumer-math.html" target="_blank"><span style="color: #2b00fe;">consumer math</span></a> class, fails seemed to pop up everywhere. This was one that had me standing in the baby aisle for way more time than I'd care to admit:</span></p><p><span style="font-family: verdana;"><br /></span></p><p></p><div class="separator" style="clear: both; text-align: center;"><span><a name='more'></a></span><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHNI3DXhgQRTk9t1koOcCf16QQKmxod6Mb0xhFwAn5qbsod0wdksDd7eqMZlkc-iCm3ALc0SmaLfKYVqETcDoJflqgXrUtU_rflp9rCw1rz_Blm84tpRUQp081SqYqJTr2qaH0P9VDQgxPewsClITWQdhohojS25d4ws0t8eIs5P-HiWLRb1fJUECZ/s1425/bottle%20brushes.png" style="margin-left: 1em; margin-right: 1em;"><img alt="Unit price fail - one bottle brush costs less per brush than a 2-pack" border="0" data-original-height="875" data-original-width="1425" height="245" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHNI3DXhgQRTk9t1koOcCf16QQKmxod6Mb0xhFwAn5qbsod0wdksDd7eqMZlkc-iCm3ALc0SmaLfKYVqETcDoJflqgXrUtU_rflp9rCw1rz_Blm84tpRUQp081SqYqJTr2qaH0P9VDQgxPewsClITWQdhohojS25d4ws0t8eIs5P-HiWLRb1fJUECZ/w400-h245/bottle%20brushes.png" title="Unit price fail - one bottle brush costs less per brush than a 2-pack" width="400" /></a></div><p></p><span style="font-family: verdana;"><br /></span><div><span style="font-family: verdana;">How could one baby brush cost less per brush than a 2-pack? It made no sense. There are more unit price fails to see in <a href="https://www.scaffoldedmath.com/2016/08/teaching-unit-pricing-in-consumer-math.html" target="_blank"><span style="color: #2b00fe;">this post</span></a>.</span><p></p></div><div><span style="font-family: verdana;"><br /></span></div><div style="text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhAOrwEGGeXjokKFnHmyVNtErC9GnSlK-l4tAeOAfBzY4QblkxBX6BYU8rMtBMdVw88deYW5ObnCLgmGBSh8ZebQqb50nDOKOElnQwfhzYBUD0bBHwTR-X6KH5NmIUVDP3tleC1mgVfiWrSlwReFif3NiJ8RHnwt6F6ZjtfnfoKCb3_BkmbpTdr1Sny/s2048/cat%20food.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="2048" data-original-width="1536" height="447" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhAOrwEGGeXjokKFnHmyVNtErC9GnSlK-l4tAeOAfBzY4QblkxBX6BYU8rMtBMdVw88deYW5ObnCLgmGBSh8ZebQqb50nDOKOElnQwfhzYBUD0bBHwTR-X6KH5NmIUVDP3tleC1mgVfiWrSlwReFif3NiJ8RHnwt6F6ZjtfnfoKCb3_BkmbpTdr1Sny/w335-h447/cat%20food.jpg" width="335" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">My husband took this photo at the pet store a few weeks ago of an extra good bargain at the pet store.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.scaffoldedmath.com/p/subscribe.html" target="_blank"><img alt="free printable unit price task cards" border="0" data-original-height="1803" data-original-width="1803" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj4A3UGRJJZaKPDfbr3abvzTTClWmHwshKy3wOVcbsM-X71yMDIeyHnZG-Q-JtlUGqHaQKMePAMsFfXJnhSgRuyIRH-3Lq8B5c-gwd4eRSxEpeQJHyBrZKvxRaTUUUo-2aDE8MxGkYmmi4-CMbIErOHTY-jmOCr3vtAJEwelzOkLcRl4c-uuJwZg8cD/w400-h400/unit%20price%20task%20cards.jpg" title="free printable unit price task cards" width="400" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.scaffoldedmath.com/p/subscribe.html" target="_blank"><span style="color: #2b00fe;">Free unit price task cards</span></a></td></tr></tbody></table><br /></div><div><br /></div><div><span style="font-family: verdana;">If you teach unit prices, there's a <a href="https://www.scaffoldedmath.com/p/subscribe.html" target="_blank"><span style="color: #2b00fe;">free set of unit price task cards</span></a> in my blog's free math resource library. There are 20 task cards, a student answer sheet and answer key included.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">Browse more </span><a href="https://shopscaffoldedmath.com/collections/consumer-math" style="font-family: verdana;" target="_blank"><span style="color: #2b00fe;">consumer math teaching ideas</span></a></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div>ScaffoldedMathhttp://www.blogger.com/profile/12991099683629425350noreply@blogger.com0tag:blogger.com,1999:blog-969821499728229660.post-18738604018379686232022-04-13T07:30:00.012-04:002024-01-07T18:49:09.197-05:00Teaching Teens How to File a 1040 Tax Return<div><div class="separator" style="clear: both; text-align: center;"><a href="" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Filing income taxes can be intimidating! In this post is a set of task cards that teach students how to file a 1040 federal tax form. The activity teaches how to file a 1040 tax return and how to fill out a Schedule 1 through a fun tsk cards activity that walks students through how to fill out the forms." border="0" data-original-height="1241" data-original-width="940" height="428" src="https://blogger.googleusercontent.com/img/a/AVvXsEisCFUZ0DWYjXQSgChwVTm7ychINVgPSz036AavOeFI5-ENgqLAaMHREI3Hrmr5wwXDweuqVktFEL7an8KA9dbVWj28DpTG4FVig5U9UJK9ROzZP51QfL9qAWgH0FE8Ro98uYcaHF--pxFMcryLmxCvgK9BF65_rWnyqXGFRf089GvpQFz1-nOo1Joy=w324-h428" title="Teaching Teens How to File a 1040 Tax Return" width="324" /></a></div><span style="font-family: verdana;"><br /></span></div><span style="font-family: verdana;"><div><span style="font-family: verdana;"><br /></span></div>Teaching students how to complete a federal 1040 tax form can be a bit tedious. There are lots of lines with tiny print, and most are irrelevant to younger folks. I update this <a href="https://drive.google.com/file/d/1FPR7Pe_UpsbSMC0ikaJTyoc9zsFHjoO3/view?usp=sharing" target="_blank"><span style="color: #2b00fe;">1040 cheat sheet</span></a> every year to make the process of completing a 1040 a lot less stressful, especially for working teens.</span><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><span><a name='more'></a></span><br /></span></div><div><span style="font-family: verdana;">At the end of one school year, I asked my consumer math students what they wished they had learned more about that year. Many answered, "Taxes." I heard a lot of complaining during our income taxes unit that year, so their answers surprised me. I learned that my students found the information valuable after all. </span></div><div><span style="font-family: verdana;"><br /></span></div><div></div><div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://shopscaffoldedmath.com/products/tax-task-cards-federal-income-tax-1040-activity" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Tax Task Cards - Federal Income Tax 1040 activity updated every tax season" border="0" data-original-height="939" data-original-width="939" height="366" src="https://blogger.googleusercontent.com/img/a/AVvXsEhx9ZeX0K3StkMDUThdBtr82MNDXYu3_2wcsD6_JTFqpJ3uI8v_OEc9g-5VMOCmuGv-qOARAEke2vMxIqZdPZlJ1WjVHFsV5qDD1bh6zK4QYbX8VIfpuDIogNM33D8Lzy-nxDVtCPO9cah_xHV16vItP9x8spJXQhD9Za25vU-uWJonfS1qhgXeM_5k=w366-h366" title="Teaching Teens How to File a 1040 Tax Return" width="366" /></a></div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">Every year I update this <a href="https://shopscaffoldedmath.com/products/tax-task-cards-federal-income-tax-1040-activity" target="_blank"><span style="color: #2b00fe;">Tax Task Cards Activity</span></a> for the current tax season so that students can learn how to file a federal tax return. This is the 9th year I've updated the activity, and I will continue to update it every year. If you already own the activity, updates will always be free. You just have to re-download the file after it is updated. I update it every year.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">In the activity, students walk through 20 task cards guiding them through completing a federal income tax Form 1040 and Schedule 1. They are given a W-2 for a fictional "William A. Pay" who works as a teacher in Boston and who paid some student loan interest last year. William had also been unemployed for part of the year, taking his unemployment compensation untaxed. Will this lead to him owing the IRS? </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div style="text-align: center;"><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://shopscaffoldedmath.com/products/tax-task-cards-federal-income-tax-1040-activity" target="_blank"><img alt="Tax Task Cards - Federal Income Tax 1040 activity" border="0" data-original-height="1056" data-original-width="1056" height="320" src="https://blogger.googleusercontent.com/img/a/AVvXsEj7iOtwNhRSPcCy8h8Q172LQ7R1Haq__ekD_s7V7QQxNH8TSL8zBtjM2rZ7toU_R9dFVxy3ADl3wQgwAQo4AhUpJ7QWVjiee69qR3bXsLwXytLVc6fZ-y9707Xk7e6WLYOw0oLrOiLr2OLGo5d98Crzc_gOzLWkK7tFZF5aEpK1HfDd8mBUv0mLT4Ix=w320-h320" title="Tax Task Cards - Federal Income Tax 1040 activity" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><span style="color: #2b00fe;"><a href="https://shopscaffoldedmath.com/products/tax-task-cards-federal-income-tax-1040-activity" target="_blank"><span style="color: #2b00fe;">Tax task cards activity</span></a></span></td></tr></tbody></table><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><u><br /></u></span></div><div><span style="font-family: verdana;"><u>Included in the activity</u>:</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">- 20 task cards, </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">- blank checks, </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">- a W-2, </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">- a student answer sheet, </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">- completed 1040 and Schedule 1, </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">- answer key for the student answer sheet.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">The final product of this activity is a completed federal tax Form 1040, Schedule 1 and an answer sheet. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><i>1040 changes this year (April 2024 tax season): </i></span></div><div><span style="font-family: verdana;">There were only minor line changes to this year's 1040. The standard deduction for a single person increased from $12,950 to $13,850. Digital assets are mentioned again this year. For the first time in the 9 or 10 years I've been updating the tax activity linked above, the 1040 barely changed, which was a nice change of pace from previous years. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">Here is a FREE cheat sheet for filing income tax returns. It is set up for working teens, but can be used for any simple federal tax return:</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div style="text-align: center;"><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://drive.google.com/file/d/1XMer8ZyFCfeNKO9qzpbBHiryxyyX0Wyn/view?usp=sharing" target="_blank"><img alt="free PDF download - 1040 federal income tax return cheat sheet" border="0" data-original-height="540" data-original-width="540" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiSZ3U1B20fN1j-VS0H1_NuqEz5XL9qYcI2Va_o43LtNRJHqfciUgwVYNHqDu_FeJxRE28FtFqIDQnEhLkWUmXHPSIBp1WebhDQt2tvIvp1bCygVMEjP0nwtGbdPXdaNY0UDQp5MvL4nSI2TvwBwBoElfxQahDtsGVIfWSK5vSXspvnE66XGVrF-0yN/w320-h320/1040%20cheat%20sheet.jpg" title="free PDF download - 1040 federal income tax return cheat sheet" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://drive.google.com/file/d/1FPR7Pe_UpsbSMC0ikaJTyoc9zsFHjoO3/view?usp=sharing" target="_blank"><span style="color: #2b00fe;">Free 1040 cheat sheet</span></a></td></tr></tbody></table></div><div><br /></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">I loved teaching consumer math to my high school seniors because it empowered them them to be in charge of their finances. I compiled this <a href="https://shopscaffoldedmath.com/products/consumer-math-activities-bundle" target="_blank"><span style="color: #2b00fe;">Consumer Math Activities Bundle</span></a> with activities for teaching percents, taxes, budgets and paychecks, simple and compound interest, the stock marker and wants vs. needs. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div style="text-align: center;"><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://shopscaffoldedmath.com/products/consumer-math-activities-bundle" target="_blank"><img alt="Consumer Math Activities Bundle" border="0" data-original-height="960" data-original-width="960" height="320" src="https://blogger.googleusercontent.com/img/a/AVvXsEhbPXonM29oPjuI5mSC5tp7kzZcFRHXwqgIFF5ttGkHZhpv0QyudaS7GgvMRoWGOoPzlOMcXPqVa3oXne9euv2V4wn6B3lyytapFEqckXyGRFANniSs7QepWTWgHQy013vxBiutywyqMaaGFXV0KIstjmbD5RVZlRuhCOeJMuXlOC4QwQRdBVOyqUaC=w320-h320" title="Consumer Math Activities Bundle" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><span style="color: #2b00fe;"><span style="color: #2b00fe;"><span style="color: #2b00fe;"><a href="https://shopscaffoldedmath.com/products/consumer-math-activities-bundle" target="_blank"><span style="color: #2b00fe;">Consumer math activities bundle</span></a></span></span></span></td></tr></tbody></table><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">In 2022, I built a <a href="https://shopscaffoldedmath.com/products/scaffolded-consumer-math-curriculum" target="_blank"><span style="color: #2b00fe;">consumer math curriculum</span></a> that covers a lot of the topics we all wish we had learned before graduating. The topics covered in the curriculum include: <i>wants vs. needs, checks and registers, wages and salary, bank accounts, budgeting, credit cards, credit score, discounts and coupons, sales tax and tip, percent change, unit prices, income taxes, car loans, mortgages, student loans, investing, car insurance, and health insurance.</i></span></div><div><span style="font-family: verdana;"><b><br /></b></span></div><div><span style="font-family: verdana;"><b><br /></b></span></div><div style="text-align: center;"><span style="font-family: verdana;"><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://shopscaffoldedmath.com/products/scaffolded-consumer-math-curriculum" target="_blank"><img border="0" data-original-height="1248" data-original-width="1248" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEioaavFNcSWeicAkTisALK7p8Ziq3N-HMOhoHU0zdkn2mL8zyr9XIDPyjMdDyjz6RoNvulx8zuBzGXp9lxciy67Jrl5JLBYC2Hvz7CFmDYFhenUc36prUDt71yysYgvQYUW8X_hEJGY0lBcvQ1txNV5V_YpCMF98wqPztuaKAYMSLfuIU5Ci-3kSePK/w320-h320/scaffolded%20consumer%20math%20curriculum%20cover.png" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><span style="color: #2b00fe;"><span style="color: #2b00fe;"><span style="color: #2b00fe;"><span style="color: #2b00fe;"><a href="https://shopscaffoldedmath.com/products/scaffolded-consumer-math-curriculum" target="_blank"><span style="color: #2b00fe;">Scaffolded Consumer Math Curriculum</span></a></span></span></span></span></td></tr></tbody></table><br /><b><br /></b></span></div><div><span style="font-family: verdana;"><b><br /></b></span></div><div><span style="font-family: verdana;"><b><br /></b></span></div><div><span style="font-family: verdana;"><b>Links:</b></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><a href="https://drive.google.com/file/d/1FPR7Pe_UpsbSMC0ikaJTyoc9zsFHjoO3/view?usp=sharing" target="_blank"><span style="color: #2b00fe;">1040 Cheat Sheet (free)</span></a></span></div><div><br /></div><div><br /></div><div><span style="font-family: verdana;"><a href="https://youtu.be/rp6rQw4HOXI" target="_blank"><span style="color: #2b00fe;">1040 Video Tutorial</span></a></span></div><div><br /></div><div><br /></div><div><br /></div><div><span style="font-family: verdana;">Browse all <a href="https://www.teacherspayteachers.com/Store/Scaffolded-Math-And-Science/Category/Consumer-Math-Financial-Literacy-Personal-Finance-215358" target="_blank"><span style="color: #2b00fe;">financial literacy activities</span></a>.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">Join the <a href="https://www.facebook.com/groups/consumermath" target="_blank"><span style="color: #2b00fe;">Consumer Math</span></a> Facebook group</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div>ScaffoldedMathhttp://www.blogger.com/profile/12991099683629425350noreply@blogger.com0tag:blogger.com,1999:blog-969821499728229660.post-31426243610015232772022-02-02T11:21:00.018-05:002023-11-20T12:23:46.766-05:00Geometric transformations in the coordinate plane with a hole punch<p><span style="font-family: verdana;"></span></p><div class="separator" style="clear: both; text-align: center;"><a href=" " style="margin-left: 1em; margin-right: 1em;"><img alt="In this post I share an easy, hands-on method for demonstrating reflections and rotations of geometric shapes and their coordinates in the coordinate plane. The video included in the post covers reflecting over the x-axis, over the y-axis and over the line y = x. This same method will work for reflecting over any line of symmetry in the coordinate plane, even linear equations. I then share an idea for showing geometric rotations with a hole punch." border="0" data-original-height="1376" data-original-width="1280" height="400" src="https://blogger.googleusercontent.com/img/a/AVvXsEiZse114W8dLcrOi23Na5NlUCZf68Xwm_kkwvzVItS71sGw2nBsh6EnKT_AQbKLCKLk4XRzIFLBVVNibPmleNWdt4-alA1W7NdVt_eUAKOA0ZeIMznVANNW5HxjyUrRmqvNnK9J1dQalVCXHLEOmjQaLXx9HxPtJRHOphS8xJ7WYmGMi5BdCQ5MsZNJ=w373-h400" title="Hands on geometric transformations in the coordinate plane" width="373" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><span style="font-family: verdana;"><div><span style="font-family: verdana;"><br /></span></div>Last week, I wrote a post about <a href="https://www.scaffoldedmath.com/2022/01/how-to-find-inverse-functions-with-a-hole-punch.html" target="_blank"><span style="color: #2b00fe;">using a hole punch to find function inverses</span></a> in algebra. A few people asked on Facebook if the process would also work for geometric reflections, and it absolutely does! </span><div><span style="font-family: verdana;"><br /></span><p><span style="font-family: verdana;">In this post I share an easy, hands-on method for demonstrating reflections and rotations of geometric shapes and their coordinates in the coordinate plane. The video included in the post covers reflecting over the x-axis, over the y-axis and over the line y = x. This same method will work for reflecting over any line of symmetry in the coordinate plane, even linear equations. I then share an idea for showing geometric rotations with a hole punch.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"></span></p><center><span><a name='more'></a></span><span style="font-family: verdana;"><iframe allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/eHa_FffvESM" title="YouTube video player" width="560"></iframe></span></center><p></p><span style="font-family: verdana;"><b><div><span style="font-family: verdana;"><b><br /></b></span></div>1: Reflections</b></span><div><span style="font-family: verdana;"><b><br /></b></span><div><span style="font-family: verdana;">Above is a quick video showing how to use a hole punch and a template to reflect a geometric shape in the coordinate plane. I glued the colored paper behind the holes just so that they were easier to see on the video. This probably wouldn't be necessary in the classroom. </span></div><div><span style="font-family: verdana;"><br /></span><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><a href="https://drive.google.com/file/d/1rfI4hGZp5CoP2KYTwBXQw04O3nlqOYR9/view?usp=sharing" target="_blank"><span style="color: #2b00fe;">Here is the PDF of templates</span></a> in my Google Drive. There are graphs to demonstrate inverse functions in there, too, so it's named hole punch inverse functions. But you'll find the geometric shapes in there, towards the end of the PDF.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><b>2: Rotations</b></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">Geometric rotations in the coordinate plane. I added 3 templates into the PDF template file linked above to show geometric rotations with a hole punch.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhFUzEX0HWX7W9N0nNH79fexQ4vNQZ-waOJOI7CDdzDA0qz4keJC5bYcfyjn_yJsYd17Ye_Wj7D24GeccAdV2RWmnbp-jTCcytsm610AMa2bxpniHs_lLEfZc1_fV4F0EYprOXT13_ZJiHwu6PTOz6h64IDLKgErlmmRFwfE17Lhoyb0g7IZWobnOwA=s640" style="margin-left: 1em; margin-right: 1em;"><img alt="Geometric rotations in the coordinate plane using a hole punch" border="0" data-original-height="640" data-original-width="589" height="320" src="https://blogger.googleusercontent.com/img/a/AVvXsEhFUzEX0HWX7W9N0nNH79fexQ4vNQZ-waOJOI7CDdzDA0qz4keJC5bYcfyjn_yJsYd17Ye_Wj7D24GeccAdV2RWmnbp-jTCcytsm610AMa2bxpniHs_lLEfZc1_fV4F0EYprOXT13_ZJiHwu6PTOz6h64IDLKgErlmmRFwfE17Lhoyb0g7IZWobnOwA=w295-h320" title="Geometric rotations in the coordinate plane using a hole punch" width="295" /></a></div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">The grid I used for this rotation is the blank template from the Google Drive file linked above. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><center><iframe allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/oHVsw5Qra54" title="YouTube video player" width="560"></iframe></center></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">I cut cut into half of the y-axis to show the clockwise rotation from quadrant 4 into quadrant 3. I've been posting the videos on my <a href="https://www.facebook.com/ScaffoldedMath/" target="_blank"><span style="color: #2b00fe;">Facebook page</span></a> and on my <a href="https://www.youtube.com/c/ScaffoldedMathandScience/videos" target="_blank"><span style="color: #2b00fe;">YouTube channel</span></a>.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgruBQvVXFSe4nSUch1nLZU3075rgGR_YTfHRBEYplA5lSDhjXyM0frqT5GHwQmIJEoQ0rpcJ4-YmN2ZAn-HTBYAAAXsyc3-p1xWNcSWwpnRlnkijDcA-QtZ0GXQOymzqCCXFgUW5JvOzbfw_UFZin56lYzLxB0KpjR5HgwRH-ZmFUckp-E-SJxhRNe=s591" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="591" data-original-width="489" height="320" src="https://blogger.googleusercontent.com/img/a/AVvXsEgruBQvVXFSe4nSUch1nLZU3075rgGR_YTfHRBEYplA5lSDhjXyM0frqT5GHwQmIJEoQ0rpcJ4-YmN2ZAn-HTBYAAAXsyc3-p1xWNcSWwpnRlnkijDcA-QtZ0GXQOymzqCCXFgUW5JvOzbfw_UFZin56lYzLxB0KpjR5HgwRH-ZmFUckp-E-SJxhRNe=s320" width="265" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">The hole punch that I used in the videos is a 1/8th-inch with a 2-inch reach. It looks like the one in this picture. I had gotten mine from a craft store years ago (probably in the paper craft aisle, though I can't remember exactly), but this screenshot came from Amazon.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">*If you don't have this longer reaching hole punch, an alternative is to have students poke holes in the paper with their pencils. One teacher commented that she prints the templates smaller so that they can be glued into student notebooks. I thought that was a really great idea.</span></div><div><span style="font-family: verdana;"><br /></span></div><div style="text-align: center;"><span style="font-family: verdana;"><br /></span></div><div style="text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://docs.google.com/presentation/u/1/d/1Urmy3b9GA9JETjRMXcNFMEDCaVfAxXnce23ixAfPAEo/copy" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img border="0" data-original-height="820" data-original-width="1283" height="256" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgvAk-cfZBXLTSr-utXYAwQ_NgIQ2PL8Q-_blSWyf6bcXawdvh_-MFXXzojWGDYMM9Lgyjo2RHMcDo-jmfB_TblJ8awskOvq6W3PnPG3-deIlmSnhNOySlXcGwahyphenhyphenaXamFOFEI_6CAEbDmHgmfgmGIAy2fw-cTMgwyQOCW1QHqVqEKNOQunxdree6WR-7M/w400-h256/1.JPG" width="400" /></a></div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><b>UPDATE: </b>Teacher Eric Funke was super generous in creating and sharing a printable set of lessons he made based on the video and handouts in this post. You can make a copy of his lessons <a href="https://docs.google.com/presentation/u/1/d/1Urmy3b9GA9JETjRMXcNFMEDCaVfAxXnce23ixAfPAEo/copy" target="_blank"><span style="color: #2b00fe;">here in my Drive</span></a>.</span></div><div><br /></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div style="text-align: center;"><span style="font-family: verdana;"><b>Geometric transformations activities</b></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/Geometric-Transformations-Digital-Math-Escape-Room-7669430" target="_blank"><img alt="Geometric transformations digital math escape room" border="0" data-original-height="960" data-original-width="960" height="320" src="https://blogger.googleusercontent.com/img/a/AVvXsEgjEgVx8jMCvB3XMvsHCVYXP2piJJnAekLBEquJg2YTzi3jPI2KkB3hbdMMn7YhJShAWW7JH9j85-mY783xiHxTfRZ67IaZhnYX5txZ_pVuR6Tw1yShKhsQfUX8h97ZGXVW2mlNaYcxH9iYG3v1wreapnF6ZdWRlJCJvayqO6RMdb0QYKwmXJKLM9wJ=w320-h320" title="Geometric transformations digital math escape room" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><span style="color: #2b00fe;"><a href="https://www.teacherspayteachers.com/Product/Geometric-Transformations-Digital-Math-Escape-Room-7669430" target="_blank"><span style="color: #2b00fe;">Geometric transformations digital math escape room</span></a></span></td></tr></tbody></table><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/Geometric-Transformations-Math-Pennant-4-QUADRANTS-2595834" target="_blank"><img alt="Geometric transformations math pennant activity" border="0" data-original-height="960" data-original-width="960" height="320" src="https://blogger.googleusercontent.com/img/a/AVvXsEhChSIMojvm20N8c649Y8Bh_JomcYjmIxM8a0UfMIbb4-IsQWYPSNBo16vKu5vwTOAG4XgqRo6oYnNMD1TuE_nUxgKa6xDq6dUUnw0q2GH66Weg42TYmS3Ks52HMyrVDpMYEcjKrqf-IeaLSoP2hWMIxX9hZwxrlQHFU3sSe1a3g2KeoD04luvBVl1i=w320-h320" title="Geometric transformations math pennant activity" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Geometric-Transformations-Math-Pennant-4-QUADRANTS-2595834" target="_blank"><span style="color: #2b00fe;">Geometric transformations math pennant activity</span></a></td></tr></tbody></table><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/8th-Grade-Math-Word-Wall-print-and-digital-3248586" target="_blank"><img alt="Transformations - 8th grade math word wall" border="0" data-original-height="1065" data-original-width="1240" height="275" src="https://blogger.googleusercontent.com/img/a/AVvXsEgPalG3jwxqMywC0L3AanYwTRjYhKaKvL_pw_SMrk7b8V8kQAmyApTOO6xThWDV5mgyG76rwix7MJU6nYD8wB5SVGHu8IEnyPtPk7-B-i5ELSzJwIWytAoxKY5Dhlj27m4OSSEUz9w1VJXrjREpbia6L-hSgyyaOOkum_f89nXhJDhVZi7bbn8P-FY5=w320-h275" title="Transformations - 8th grade math word wall" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Product/8th-Grade-Math-Word-Wall-print-and-digital-3248586" target="_blank"><span style="color: #2b00fe;">Transformations - 8th grade math word wall</span></a></td></tr></tbody></table><br /><span style="font-family: verdana;"><br /></span></div></div></div></div>ScaffoldedMathhttp://www.blogger.com/profile/12991099683629425350noreply@blogger.com3tag:blogger.com,1999:blog-969821499728229660.post-54887135129551589682022-02-01T20:30:00.005-05:002023-07-31T21:58:31.188-04:00Numberless Quadratics Activity<p></p><div class="separator" style="clear: both; text-align: center;"><a href="" style="margin-left: 1em; margin-right: 1em;"><img alt=""But Miss, these word problems don't have any numbers!" "You're right! They're numberless word problems!" This was the conversation with my algebra 2 students at the start of our quadratic word problems unit every year. I LOVE teaching quadratic word problems, especially because students always start super intimidated and end the unit super confident in themselves for having accomplished something big! But the language! How long, how high, hits the ground, time in the air... these simple sounding phrases can be pretty confusing at first. To focus on what these phrases meant and what they were asking us to find, I liked to start our projectile motion unit with a numberless quadratics activity. Presenting students with word problems with no numbers forced students to look for the quadratic keywords as clues to what they were being asked to find." border="0" data-original-height="630" data-original-width="1200" height="210" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjrzexZgeG82yQm2WG8TOukC9fNeF69IiSCahO78todc-jee4wL4X-JCYn6Jdtu8njFDREaEbxv7fdhjVyJArqFeKindIJ_IOgaiFt1hEtfr3crjH6_ieyCrVMurMww1eKVAKr2dXAA05dyeOYQA_fO4j11mbWi-Pign3FYkJ1nyCn_foZefExcby1Y/w400-h210/numberless%20quadratics%20activity.png" title="Numberless Quadratics Activity" width="400" /></a></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: verdana;">"But Miss, these word problems don't have any numbers!"</span></div><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">"You're right! They're <i><u>numberless</u></i> word problems!"</span></p><p><span style="font-family: verdana;"><br /></span></p><p></p><div class="separator" style="clear: both; text-align: center;"><span><a name='more'></a></span></div><p></p><p><span style="font-family: verdana;">This was the conversation with my <a href="https://www.scaffoldedmath.com/2023/03/teaching-small-group-algebra-2.html" target="_blank"><span style="color: #2b00fe;">algebra 2</span></a> students at the start of our quadratic word problems unit every year. I LOVE teaching quadratics, especially because students always start super intimidated and end the unit super confident in themselves for having accomplished something big! </span></p><p><span style="font-family: verdana;"><br /></span></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Numberless-Quadratics-Algebra-Activity-print-and-digital-1932916" imageanchor="1" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Numberless Quadratics Algebra Activity" border="0" data-original-height="342" data-original-width="509" height="269" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiQGAU5EcoAjd6-vpYB3Q6AewrbzdWMtOz2iKJ4UfuxHIL-KHWbXLQXzC3qk_6khA82iIP8QL9aD8kXkVxAkVJZHC_IrISeKYUUCBv_C0SEIzGPjdMKRBmNdZHdwVFtYDsJ3ealGg1vmkVJtU-wAh4X34nST1LbA84owYdBO0mz_JmrpZvj020kZ_6T_es/w400-h269/numberless.PNG" title="Numberless Quadratics Algebra Activity" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span><p></p><p><span style="font-family: verdana;">But the language! How long, how high, hits the ground, time in the air... these simple sounding phrases can be pretty confusing at first. To focus on what these phrases meant and what they were asking us to find, I liked to start our projectile motion unit with a numberless quadratics activity. Presenting students with word problems with no numbers forced students to look for the quadratic keywords as clues to what they were being asked to find.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"></span></p><div class="separator" style="clear: both; text-align: center;"><span style="font-family: verdana;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgkzXL1WZ6KlaHEt6MiqMVHWF7JT8clo37zGS7S8BTvDTTBDmURS-fvGEcbr_mG9bH5GUmgp9WQt3YJhnFKayum4ISi4szXlKbD6UsQTO6Kt-4cE9pQ_Alj2RfKeeS6575N3douRQbLeRngvwqDYuAyMgYImK4suR9S84BkyPbQA0lL5XMpcBCjZ3MS/s720/numberless%20quadratics%202.jpg" style="margin-left: 1em; margin-right: 1em;"><img alt="numberless quadratic word problem 1" border="0" data-original-height="720" data-original-width="720" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgkzXL1WZ6KlaHEt6MiqMVHWF7JT8clo37zGS7S8BTvDTTBDmURS-fvGEcbr_mG9bH5GUmgp9WQt3YJhnFKayum4ISi4szXlKbD6UsQTO6Kt-4cE9pQ_Alj2RfKeeS6575N3douRQbLeRngvwqDYuAyMgYImK4suR9S84BkyPbQA0lL5XMpcBCjZ3MS/w400-h400/numberless%20quadratics%202.jpg" title="numberless quadratic word problem 1" width="400" /></a></span></div><span style="font-family: verdana;"><br /><br /></span><div><span style="font-family: verdana;">Here's an example of a numberless quadratics problem:</span><p></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><i>"Jack wants to know how high the soccer ball will get if he kicks it straight up in the air."</i></span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><i><u>How high</u></i> is code for <i>y at the vertex</i>, so students would need to identify that this question is asking them for the y coordinate at the vertex.</span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"></span></p><div class="separator" style="clear: both; text-align: center;"><span style="font-family: verdana;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgJqPBx0ZulyaX0ceKR1M-4DpMYq6a_7l_i61_K0QdOqK9eHchCbZkg8ONxpGXmmFQ3BzTPmX9scX1aBou8cuMWfOlLBFE0-5XlbtSsnEXwUAx8HoCrP22aBEJnfVgbi702HIADTViQdveBZvbUOXfkbvA7zycGch9LjvPLUEMT9XKMJb6vK6GgS_Tz/s720/numberless%20quadratics%203.jpg" style="margin-left: 1em; margin-right: 1em;"><img alt="numberless quadratic word problem 10" border="0" data-original-height="720" data-original-width="540" height="468" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgJqPBx0ZulyaX0ceKR1M-4DpMYq6a_7l_i61_K0QdOqK9eHchCbZkg8ONxpGXmmFQ3BzTPmX9scX1aBou8cuMWfOlLBFE0-5XlbtSsnEXwUAx8HoCrP22aBEJnfVgbi702HIADTViQdveBZvbUOXfkbvA7zycGch9LjvPLUEMT9XKMJb6vK6GgS_Tz/w351-h468/numberless%20quadratics%203.jpg" title="numberless quadratic word problem 10" width="351" /></a></span></div><span style="font-family: verdana;"><br /><br /></span></div><div><span style="font-family: verdana;">Here's another question:</span><p></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><i>"How do I find when an object hits the ground?"</i></span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">For this question, students need to identify the way(s) to find when an object hits the ground in a quadratic word problem. We can either use the Zero function on our graphing calculators or use the Quadratic Formula to find the positive zero of the parabola.</span></p><p><span style="font-family: verdana;"><br /></span></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi4uAcux9Ot3kPm5mcSLHWxB8cYyeGkOym4X5vZm3eJ7fx4Z8j11tgRcOPF8ZULnB0IqL3AlTZj4lJwsMA5sqjOyckT789QkzpGZMLR0cwfS7NBQj4WeEnB5NVVY_uaFsCyY_6r1IfrB8ZoH7z24rF1E4rmKHupkARCjvsrs-jN14BqKkV_94vdpauP/s720/numberless%20quadratics%201.jpg" style="margin-left: 1em; margin-right: 1em;"><img alt="numberless quadratic word problems 1 and 10" border="0" data-original-height="720" data-original-width="720" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi4uAcux9Ot3kPm5mcSLHWxB8cYyeGkOym4X5vZm3eJ7fx4Z8j11tgRcOPF8ZULnB0IqL3AlTZj4lJwsMA5sqjOyckT789QkzpGZMLR0cwfS7NBQj4WeEnB5NVVY_uaFsCyY_6r1IfrB8ZoH7z24rF1E4rmKHupkARCjvsrs-jN14BqKkV_94vdpauP/w400-h400/numberless%20quadratics%201.jpg" title="numberless quadratic word problems 1 and 10" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">Identifying the keywords in quadratic word problems was always the hardest part of this unit for my students. Once they understood what a problem was asking them to find, the solving was fairly easy.</span><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span><p></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Quadratic-Keywords-Poster-word-problems-1720780" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="quadratic keywords poster" border="0" data-original-height="1200" data-original-width="960" height="449" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjaAYF0LIaroWV9GaORubZA0Lc3_sXyel9sR_kHokb6KS5MK40Juu6TvxyowIYQ00xmKDpgyBJKPdIOmeA-jxcde-SwzVg78jgqE0RRJMjRPCzPb0URquj2qo2ybYXrGxIlCA8AJQmpIfD2e81uijDJU18iLCdFkvU4Bvs6k9Art5Nm-e4yJ5xeaBtZ/w359-h449/Quadratic%20Keywords%20graph%20poster.jpg" title="quadratic keywords poster" width="359" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">s a day-to-day reminder of the language they'd see in quadratic word problems, made my students a big 4-page poster out of this <a href="https://www.dropbox.com/s/o20y2pmgz088umj/Quadratic%20Keywords%20Poster%20-%20graph.pdf?dl=1" target="_blank"><span style="color: #2b00fe;">Quadratic Keywords poster</span></a>. </span><p></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;">You can find the numberless quadratics activity we used in class here in my Dropbox: <a href="https://www.dropbox.com/s/xqjylz62w1jdq9t/Numberless%20Quadratics%20Activity%20-%20print%20and%20digital.pdf?dl=1" target="_blank"><span style="color: #2b00fe;">numberless quadratics activity</span></a>. </span></p><p><span style="font-family: verdana;"><br /></span></p><p><span style="font-family: verdana;"><br /></span></p><p style="text-align: center;"><span style="font-family: verdana;"><b>Quadratic word problem activities:</b></span></p><p><span style="font-family: verdana;"><br /></span></p><p></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/Quadratic-Word-Problems-Tasks-TRINOMIALS-print-and-digital-1291583" target="_blank"><img alt="Quadratic word problems task cards" border="0" data-original-height="816" data-original-width="816" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjf21q-GL46Vjv3733B9njj75mbu3TFRuasHRhm-aHQBxYCA2iGZ11dYtwy6DXcyfFEl_MYWYYRKEKDkUWqHStvfbmqKo_ditx7pbJNog2C1-x1Vj8U3kn3yOBsQu4vxcUu6TT7WfcKrVYhAm4T6hoeWscH42-Qgw5NL6c4N2AT2aw5a7FukHPR9WnT/w320-h320/Quadratic%20Word%20Problems%20Tasks%20(TRINOMIALS)%20-%20print%20and%20digital.png" title="Quadratic word problems task cards" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Quadratic-Word-Problems-Tasks-TRINOMIALS-print-and-digital-1291583" target="_blank"><span style="color: #2b00fe;">Quadratic Word Problems Task Cards</span></a></td></tr></tbody></table><span style="font-family: verdana;"><br /><br /><br /></span><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/Quadratic-Word-Problems-Digital-Math-Escape-Room-6611431" target="_blank"><img alt="Quadratic word problems digital math escape room" border="0" data-original-height="960" data-original-width="960" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiQQxX5OxHWOFoRzxziaVMZsUkDCUbZLISAXbdyW3IIpJ7YfcJlrByCff2o7BEDcpf44rlmTZHQo3jKtHHOYGDvJqetva_EMs_iUSHRLJUKbF_Rz2Wu_AWY2GXMpBqr7KctfQthZe9nu3orGYMDf95WPIRX7GPjWTO3X2LXb0hdaXO3yF5E3OE31EDn/w320-h320/Quadratic%20Word%20Problems%20Digital%20Math%20Escape%20Room.png" title="Quadratic word problems digital math escape room" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Quadratic-Word-Problems-Digital-Math-Escape-Room-6611431" target="_blank"><span style="color: #2b00fe;">Quadratic Word Problems Digital Math Escape Room</span></a></td></tr></tbody></table><br /><br /><br /><br /><b><br /></b><div style="text-align: left;"><span style="font-family: verdana;"><b>More quadratics:</b> <a href="https://www.scaffoldedmath.com/2015/03/solving-quadratics-activity-lets-make.html" target="_blank"><span style="color: #2b00fe;">Fun With Quadratics</span></a></span></div></div><div><br /></div><div><br /></div><div><br /><p></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.teacherspayteachers.com/Product/Quadratic-Word-Problems-Digital-Math-Escape-Room-6611431" target="_blank"></a></span></td></tr></tbody></table></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><span style="margin-left: auto; margin-right: auto;"><a href="https://www.scaffoldedmath.com/p/subscribe.html" target="_blank"><img alt="free math resource library" border="0" data-original-height="827" data-original-width="1286" height="206" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhrvHXfKKQlaP-wa6O15Xn2JVkCWNY0vLQ9SXzzRKo6aFbkKhlG-sH7NSfR6gwQN7FlzH5xbuGvAryXBD-GePC4UsZPg63ij1cv6FIfRMouZqy4ZIp1E0MvRgwi-WZHb1ludtaXPrEcYWkK1FdoY1ZCEaAfJWMjEelW6z8qxMlRf0P7yMtmjGRJVVsi/w320-h206/Scaffolded%20Math%20free%20resource%20library.png" title="free math resource library" width="320" /></a></span></td></tr><tr><td class="tr-caption" style="text-align: center;"><a href="https://www.scaffoldedmath.com/p/subscribe.html" target="_blank"><span style="color: #2b00fe;">Free math resource library</span></a></td></tr></tbody></table><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><br /></div>ScaffoldedMathhttp://www.blogger.com/profile/12991099683629425350noreply@blogger.com0tag:blogger.com,1999:blog-969821499728229660.post-73866579546622409312022-01-30T17:16:00.021-05:002023-11-20T12:26:19.822-05:00How to find inverse functions with a hole punch<div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgmLkyky5D9TpD1LlQTpVIOMBzPmJdkzKdCrCVY6ujx0nAGWlmrUh0Gz-nKxlkXqvVEAfjl2-ZEtkFilIA1fv_zRRMxQUFkWbY_0uDrIk6tNM6hnGraKrLbpkpDJPfZfLTyHoXPCDuoQLw_HV5IbkHy9H50TbPDsrarTT8GoCUpM1U3mU1ce1r0LwOY=s1125" style="margin-left: 1em; margin-right: 1em;"><img alt="Are your algebra or algebra 2 students learning how to find inverse functions? Here's how to make the process of finding function inverses easy, visual and hands-on-- with a hole punch!" border="0" data-original-height="1125" data-original-width="1125" height="400" src="https://blogger.googleusercontent.com/img/a/AVvXsEgmLkyky5D9TpD1LlQTpVIOMBzPmJdkzKdCrCVY6ujx0nAGWlmrUh0Gz-nKxlkXqvVEAfjl2-ZEtkFilIA1fv_zRRMxQUFkWbY_0uDrIk6tNM6hnGraKrLbpkpDJPfZfLTyHoXPCDuoQLw_HV5IbkHy9H50TbPDsrarTT8GoCUpM1U3mU1ce1r0LwOY=w400-h400" title="How to find inverse functions with a hole punch" width="400" /></a></div><span style="font-family: verdana;"><br /></span></div><span style="font-family: verdana;">Are your <a href="https://shopscaffoldedmath.com/collections/algebra" target="_blank"><span style="color: #2b00fe;">algebra</span></a> students learning how to find inverse functions? Here's how to make the process of finding function inverses easy, visual and hands-on-- with a hole punch! This same process can also be used for reflecting any graph or geometric shape over the x-axis, y-axis, y = x or any other line of symmetry on the coordinate plane.</span><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><span><a name='more'></a></span>First, let's do a quick discovery into function inverses using a square coordinate grid, a hole punch and a couple data tables where we'll record our coordinate points:<br /></span><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><center><iframe allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/Gm9s7QkE5EU" title="YouTube video player" width="560"></iframe></center></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">After punching a few holes over y = x, we start to notice that the x and y coordinates swap places in inverses</span><span style="font-family: verdana;">. Now, let's move on to a linear graph:</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjoIF6Cee2N4e8YkulHKSl8MJy5IEw2HdbKgbSVKaKP919aCyIQWjmVM0sEtrfA9QJNt-LMH0kXaTDLFLYWlI4whFG9HzT21qWA72WBAas_JErfkH0ZR51ipsU_WhSw1f21uhD6Dr-dZ1Dfpul1TeV6AC9l0O8KVzHgUs1pHnAy0oreswudiy6Gpx93=s1125" style="margin-left: 1em; margin-right: 1em;"><img alt="Here's an example of how a hole punch can be used to find the inverse of a linear graph." border="0" data-original-height="1125" data-original-width="1125" height="400" src="https://blogger.googleusercontent.com/img/a/AVvXsEjoIF6Cee2N4e8YkulHKSl8MJy5IEw2HdbKgbSVKaKP919aCyIQWjmVM0sEtrfA9QJNt-LMH0kXaTDLFLYWlI4whFG9HzT21qWA72WBAas_JErfkH0ZR51ipsU_WhSw1f21uhD6Dr-dZ1Dfpul1TeV6AC9l0O8KVzHgUs1pHnAy0oreswudiy6Gpx93=w400-h400" title="finding a linear equation's inverse graph using a hole punch" width="400" /></a></div><br />Our original graph is y = 2x + 4. Using what we learned from our discovery, when we fold the coordinate grid along y = x and punch holes along y = 2x + 4, we'll get its inverse y = 1/2x - 2. Here's a quick video showing the process with a quadratic:</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><center><iframe allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/7jkCZ5_JOLo" title="YouTube video player" width="560"></iframe></center></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">If our original graph crosses y = x, the points aren't as clear, but the process still works. Here I marked the vertex of each graph:</span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEif6LAdiUgGGVkjB1v9CawCYEL4UD0xv8YGGFbL7Y4XYxor3ZtiwgigJKzj9G2WfZ63iK6BCKNnba39VmIzZwAZgaRQcTwry9Jz7CkpaxyBrhJtB09WpoK-UZ3AX-4KJfx8egGFoHIHGXmntQZUygaekcV1pThTfl-6FIlZlAo1LeWN7GHbdmhz5t8o=s1125" style="margin-left: 1em; margin-right: 1em;"><img alt="Here we can see the inverse of a quadratic graph that had passed over y = x. I marked the vertex of the graph and its inverse to make it easier to compare coordinates." border="0" data-original-height="1125" data-original-width="1125" height="400" src="https://blogger.googleusercontent.com/img/a/AVvXsEif6LAdiUgGGVkjB1v9CawCYEL4UD0xv8YGGFbL7Y4XYxor3ZtiwgigJKzj9G2WfZ63iK6BCKNnba39VmIzZwAZgaRQcTwry9Jz7CkpaxyBrhJtB09WpoK-UZ3AX-4KJfx8egGFoHIHGXmntQZUygaekcV1pThTfl-6FIlZlAo1LeWN7GHbdmhz5t8o=w400-h400" title="finding a quadratic equation's inverse graph using a hole punch" width="400" /></a></div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">When we find the inverse of a radical function, we'll find half a quadratic function, or a quadratic with its domain restricted:</span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiqVCxdMmWpR65iE2SiEzuuuAT4u_vHPT0zjLUJ_v7jlLeO2tT7y46TEsZ4K49nqqFtGDV-IwTt1_dQvyWsiSd0DXcmsw_mNk9SjwcSyNeChwLzv9b3yhI-OcCAGi_uCVZh46j2r-GUqtVRYHZObweA9dpDdmRMmFq3dyCVjH4x4EpTy6U6m2RUTDVF=s1125" style="margin-left: 1em; margin-right: 1em;"><img alt="Here we restricted the domain of the radical functions inverse graph." border="0" data-original-height="1125" data-original-width="1125" height="400" src="https://blogger.googleusercontent.com/img/a/AVvXsEiqVCxdMmWpR65iE2SiEzuuuAT4u_vHPT0zjLUJ_v7jlLeO2tT7y46TEsZ4K49nqqFtGDV-IwTt1_dQvyWsiSd0DXcmsw_mNk9SjwcSyNeChwLzv9b3yhI-OcCAGi_uCVZh46j2r-GUqtVRYHZObweA9dpDdmRMmFq3dyCVjH4x4EpTy6U6m2RUTDVF=w400-h400" title="finding a radical function's inverse graph using a hole punch" width="400" /></a></div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">And this same process works for reflecting geometric shapes over either axis, y = x or any other line of symmetry on the coordinate plane. Here's an example of a geometric transformation over y = x using a hole punch. I connected the holes using a ruler.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEj1c8WusWOBZKs0nB9yXyQv58W6uCSxj1UEaHe5EUI_IXxotGLl_pmyls8gh-QFw_OLwh9ivc6Izb7lnvxE9FRpRTnhhLFwSs2XDgvAAZ_dnNISVmME130uQOABHGdtqYHFhWocZeulehbG2ERGGzEVBVWCMMKIVEUjSdQ8hamjNHNqz8nENYb4rjQ3=s1125" style="margin-left: 1em; margin-right: 1em;"><img alt="Here we can see that a hole punch also works to reflect a geometric shape over y = x. This same process will work to reflect any shape or graph over any line of symmetry on the coordinate plane." border="0" data-original-height="1125" data-original-width="1125" height="400" src="https://blogger.googleusercontent.com/img/a/AVvXsEj1c8WusWOBZKs0nB9yXyQv58W6uCSxj1UEaHe5EUI_IXxotGLl_pmyls8gh-QFw_OLwh9ivc6Izb7lnvxE9FRpRTnhhLFwSs2XDgvAAZ_dnNISVmME130uQOABHGdtqYHFhWocZeulehbG2ERGGzEVBVWCMMKIVEUjSdQ8hamjNHNqz8nENYb4rjQ3=w400-h400" title="Geometric transformations over y = x" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">You can grab the pack of grids and graphs I used in this post <a href="https://drive.google.com/file/d/1rfI4hGZp5CoP2KYTwBXQw04O3nlqOYR9/view?usp=sharing" target="_blank"><span style="color: #2b00fe;">here in my Google Drive</span></a>. My hole punch is 1/8th-inch that I had gotten at a craft store years ago, but any hole punch will work as long as it can reach your points.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjOiZrtcOayRHFlhMtCF6qxNodHnzlPIxbZAU9mZRsvknE2CbvasVFf3FMgn7jEpDn6XVgEPXHFoJpVGeFhCbPJZ0raCqG_M9OpB9gRU5Vqt9mzl7ElrTFrwWpNhkK0adDdSXJ7et3tky6Rb6kbwhlGMAW2rVBqIvSuuWLl64STf_CeNP4G7h-7N7cQ=s591" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="591" data-original-width="489" height="320" src="https://blogger.googleusercontent.com/img/a/AVvXsEjOiZrtcOayRHFlhMtCF6qxNodHnzlPIxbZAU9mZRsvknE2CbvasVFf3FMgn7jEpDn6XVgEPXHFoJpVGeFhCbPJZ0raCqG_M9OpB9gRU5Vqt9mzl7ElrTFrwWpNhkK0adDdSXJ7et3tky6Rb6kbwhlGMAW2rVBqIvSuuWLl64STf_CeNP4G7h-7N7cQ=s320" width="265" /></a></div><span style="font-family: verdana;"><div><span style="font-family: verdana;"><br /></span></div>The hole punch I used in the videos is a 1/8-inch with a 2-inch reach, and looks like the one above. I had originally gotten mine from a craft store, but this screenshot came from Amazon.</span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/Algebra-2-Word-Wall-print-and-digital-math-vocabulary-1964059" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="inverse functions - algebra 2 word wall" border="0" data-original-height="4032" data-original-width="3024" height="533" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjT-GMbH61Y7UOXR_pxlRwtx5-YuZCr0P0RSbWjCG1RZPPUZhNF8Rwmoa2n0xT-e7W4Cge8EwejjqnytSvUxtytbODPA_m5SXnaXW7AkoO6MT5QhVlaPZKt-eX6NuQhukP-0OqqhHw-r0I2dgbh4zDAlerBj4HpNOAtF-vN82vIMNVsHvleatkZQrp4/w400-h533/inverse%20functions%20ww%20reference.jpg" title="inverse functions - algebra 2 word wall" width="400" /></a></div><br /><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;">An algebra 2 teacher recently requested an inverse functions word wall reference, so I just added this inverse functions reference to my <a href="https://www.teacherspayteachers.com/Product/Algebra-2-Word-Wall-print-and-digital-math-vocabulary-1964059" target="_blank"><span style="color: #2b00fe;">algebra 2 word wall</span></a>. </span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div><span style="font-family: verdana;"><br /></span></div><div style="text-align: center;"><span style="font-family: verdana;"><b>Related activities</b></span></div><div style="text-align: center;"><span style="font-family: verdana;"><b><br /></b></span></div><div style="text-align: center;"><span style="font-family: verdana;"><b><br /></b></span></div><div style="text-align: center;"><span style="font-family: verdana;"><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; 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