## Shifts of Functions Project

This year during our virtual learning time, I took a project that I usually offer for extra credit and made it a class assignment. I decided that with the time we were all spending at home because there are no sports, in person social gatherings, concerts or opportunities to be out and about that it was the perfect time for kids to get to dive into a creative project. Algebra students had just finished studying shifts of functions, and we culminated that experience with a project.

## The details

The project was a creative one. It had a simple goal: You will create an original piece of work using graphs from many “families of functions” as characters in your story. My hope for you in this project is that it is FUN, CREATIVE, and that it brings you JOY! Formats permitted include: poster, book or booklet, digital document, mixed media. The story required 6 pages or scenes and may be any genre. Ideas for topics include: How to book, original children’s storybook, existing children’s storybook, recipe book, current events, Anime or sports.

Your story needs to include at least 15 characters. Every character has its own equation, regardless of where it appears in the story. For example, if you decide you are y = x2+3 you are always that function.  You must use at least 3 of the following function families. You may include others if you like.

• Square Roots
• Absolute Value
• Cubic Functions

Quadratics                 Absolute Value               Cubic                           Square Root

f(x) = a(x-h)2+k     f(x) = ax-h+k         f(x) = a(x-h)3+k        f(x) = ax-h+k

Your story may be about the topic of your choice, however, it must remain a PG-13 rated story. If you would feel embarrassed sharing the story with your parents or grandparents, it is not appropriate for this assignment. If you are in doubt, please check in with me.