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Graphing Rational Functions Reference Sheet

When students feel confident they enjoy school. When they enjoy school, they do better. And when they do better, they make a choice to go on to more school. There's a snowball effect that starts with confidence and ends with that struggling student going on to get her PhD.

To me, confidence is everything, and the importance of memorization is diminishing more and more every day. Even with access to math cheat sheets, my students still need to put in work to understand our difficult Algebra 2 topics. Cheat sheets will never replace this.

Cheat sheets offer a little boost of confidence that pushes the student to take a risk. Even when the sheet never even leaves a student's binder, just knowing it's there "just in case" is enough.
The reference sheet above is for graphing rational functions. The process is a long one, so this cheat sheet offers reminders for each of the steps.

Before we started graphing, our students were having trouble simplifying rationals. After our first quiz it was obvious that I needed to give them more support. So I gave them this flowchart reference sheet to help explain the steps to take for each problem type.

I love examples as references because being able to follow an example and apply it to a new problem is a skill that can be developed and strengthened in students. This skill comes in handy in college math classes!
This simplifying rational expressions activity is a way to practice simplifying rationals. Students have to figure out if they are being asked to add, multiply or divide their rational expressions based on what information is missing.

My friend Kara from Learning Made Radical and I have been collaborating on a set of partner scavenger hunt activities. This one is for simplifying rational expressions.

In these partner scavenger hunts, problems are the same but answers match, encouraging collaboration.

In addition to cheat sheets, I hang math word walls in my classroom. My Algebra 2 word wall keeps growing as more teachers email asking for additions. This parent graph for rational functions was a recent addition.
You can download the two rational reference sheets for **free **here.

Thank you!

ReplyDeleteYou're very welcome! :)

DeleteHi! I am looking to purchase your graphing rational functions item ebut its not on the store and the link takes you to simplifying. help!

ReplyDeleteOh it's free! It's in the sidebar of my blog (in the light blue box "dropbox"). If you can't find it I am happy to send it if you drop me an email. scaffoldedmath@gmail.com

Deletei love this organizer! thank you so much!

ReplyDeleteI'm so glad! Thank you for leaving a comment!

DeleteThank you so much for this--it is wonderful! One small thing is that I think that it would help my students if it said something like "set the remaining factors in the numerator equal to zero and solve for x" for x-intercepts and something similar for vertical asymptotes. Is it possible to get a word document so that I would be able to alter this for my students?

ReplyDeleteThank you for the comment and suggestion. The original isn't a Word document so I unfortunately would not be able to provide that. I am sorry!

DeleteNo worries! Thank you!

Delete