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.

Example of student work. Read on to see the complete projects.

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.

  • Quadratics
  • 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.

Another image from student work. Complete projects are at the end of this post.


The project was worth 25 points. 3 of those points were from our Delta Math shifts assignment where the kids would demonstrate they had mastered the concept of shifting functions. In the future, I plan to change this to a 30 point project with 5 points given for mathematical equation accuracy.

LabelingEvery character’s equation is labeled in every scene. This can be a key on the page. It doesn’t have to disrupt the story and be right by the equation, but it does need to be clear. Graph paper is used for accuracy./5
StorytellingThe reader can follow the story and there is a clear purpose for each character in the story./5
AccuracyAll 3 graphing families are represented in a purposeful way. Note: you are welcome to do more than required here. If you include extra families, you will receive bonus points./5
ArtistryWe are all artists in our own way. To get full points in this category your story or poster needs a consistent artistic focus. The style should be evident throughout the work and not taper off toward the end./5
SubmissionTo receive full credit in this section you need to submit your project using one of the following: video, attached documents or photographs or physical drop off if that is your preferred method. You must also complete the Delta Math assignment. (Due Friday April 24th). That is worth 3 points of this 5 point section./5

My example story

To demonstrate the idea to my class, I wrote a story about my family’s experience during Covid-19. It is a true story featuring some of the highlights of our early time during this pandemic. We are a family of quadratics and other families are introduced with some of the characters.

My story

Student projects

I was blown away with what the kids turned in. As the submissions started to arrive, I was so excited!! Many had a great time with this. I enjoyed reading the different directions they went with this project. I received permission from several students to share their work. Select the links to view their projects.