Function vs Not a Function Puzzle Activity
I created this function vs not a function puzzle to help my students practice determining if a relation is a function or not a function. I also wanted my activity to perform double duty. I wanted students to be able to use the exact same activity to form relations that were functions and that were not functions.
I was inspired to create this activity by the always inspiring collection of Open Middle problems.
Function (or Not) Puzzle
Students are given two separate challenges to complete.
Challenge 1: Place the integers between -4 and 4 into the empty spots in the tables to form three relations that are also functions. Each number can only be used once.
Challenge 2: Place the integers between -4 and 4 into the empty spots in the tables to form three relations that are not functions. Each number can only be used once.
I created a set of integer tiles for students to use while solving this function vs not a function puzzle.
One of my motivations for making this activity is a certain EOI question released by the Oklahoma State Department of Education. It trips my students up EVERY SINGLE YEAR. Almost always, they are convinced that the problem is flawed and that none of the sets of data represent a function. In this “open middle” problem, I am essentially having them create functions like choice c and non-funcitons like choices a, b, and d.
Digital Versions of Function vs Not a Function Puzzle
In 2020, I used this activity with my Algebra 2 students to review the definition of a function. I created a Google Slides version. I assigned it via Google Classroom, and it seemed to work quite well. I missed being able to circulate around the room and fix misconceptions right away, but I was happy to still be able to do one of my favorite activities even if it had to be in a different form.
Free Download of Function vs Not a Function Puzzle Activity
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Function vs Not a Function Puzzle (PDF)
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Puzzle Solutions
Puzzle solutions are available on a password-protected solution page. I do not openly post the puzzle answer keys because one of my goals as a resource creator is to craft learning experiences for students that are non-google-able. I want teachers to be able to use these puzzles in their classrooms without the solutions being found easily on the Internet.
Please email me at sarah@mathequalslove.net for the password to the answer key database featuring all of my printable puzzles and math worksheets. I frequently have students emailing me for the answer key, so please specify in your email what school you teach at and what subjects you teach. If you do not provide these details, I will not be able to send you the password.
Not a teacher? Go ahead and send me an email as well. Just let me know what you are using the puzzles for. I am continually in awe of how many people are using these puzzles with scouting groups, with senior adults battling dementia, or as fun activities in their workplace. Just give me enough details so I know you are not a student looking for answers to the puzzle that was assigned as their homework!
I really like this activity! If I adjust your starting table of values just a bit, you might be able to ask students to create one linear function, one non-linear function and one non-function. I might give this a try. This fits very well with outcomes from our mathematics 10 course.
Thanks for including your planning on the planning. It is rare to see the rough draft of an idea, but it is very cool to catch a glimpse of the creative process.
Just a note – there’s an error in challenge #1. The third table of values has 4 twice which makes it impossible to be a function. 🙂 A couple of my students caught it – I was super impressed.
It is actually not an error. If you look above in the post at the multiple choice question I posted, you can read why I created the activity in the way I did.