To function or not to function? That is the question.

The most effective way I have found to introduce functions is with a little storytelling. 

At 16 when applying for my driving permit, I just knew that by the time I got my license, I'd be 5 feet 5 inches tall. Five had always been one of my favorite numbers, so how could it not happen? As it turned out, by 16 I was done growing. Once I came to terms with this sad fact, it became a great story to tell to introduce functions. 

"Can I be 5'4" and 5'5" at the same time?" My students always give me a, "seriously, this is Math?" face when I ask this question. I mean, obviously not! Vertical lines are not functions because they make no sense in real life! So then I draw 2 graphs on the board and asking students which of the two could possibly happen in real life:  

"I'm 5.5 feet tall when I'm 15, 16, 17 and 18 years old." or

Function or Not in Special Ed Algebra 2

I'm 4 feet, 5 feet and 6 feet tall when I'm 16 years old.

Function or Not in Special Ed Algebra 2

Every student knows which one "makes sense" every year pretty quickly. We then move into identifying functions in tables, equations, sets of ordered pairs and graphs. We complete a function or not? sorting activity to get warmed up before moving on to more in-depth practice. 

function graphs to motion stories matching activity

I really like matching activities because, like sorting activities, they can be given early in a unit and students can still work confidently on their own. The cards above are from a matching function graphs to stories activity where students match function graphs to story problems about the motion seen in the graph. I was a HUGE Dexter fan (before the last season -- ok, before the last 3 episodes of the last season. I mean, really??), so all of the names in this activity are names of characters in the show. 

Functions sub plan

Being out is always such a pain. I made a functions sub plan that helps take the stress out of a day away from school.

Evaluating Functions Task Cards

This pink card is from a set of evaluating functions task cards. Students are asked to evaluate functions given tables, graphs, equations and word problems and the activity usually takes us multiple days to complete. I like to count it as a quiz grade because of how much work my students have to do to complete it. 

Functions task cards activity

Student determine if relations are functions, which of 2 functions has the greater rate of change and if function are linear or nonlinear in this functions task cards activity. 

function dice activity

Another fun way to practice working with function notation is with function dice. Students roll the dice and then perform the operation. My students really seemed to like this one. The dice give us good practice before we move into another task card activity on function operations

Puzzle activities are also a fun, low stress way of practicing. This inverse functions puzzle asks students to match equations to their inverse equations, graphs and tables. 

Students sort functions by their solutions in this functions sorting activity. Shown here are functions that have a solution of (2, 1).

And here is a free function or not? sorting activity in the shape of a Venn diagram. 

inverse functions puzzle

I find that every year my group of students needs a little more practice in one area or another. Some years they need more practice evaluating, other years they need more help identifying, etc. This super-discounted bundle contains a variety of functions activities. Each activity is also available separately. You can find a free function/not a function sorting activity here.

function activities bundle

This discounted functions bundle includes a bunch of activities to review and practice functions. 

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