This project was totally cribbed from someone else. Unfortunately, I cannot find the original link. I rewrote it and am kinda proud of the standards-based rubric at the end.
Using the metaphor of functions grouped into families, I ask students to create a scrapbook showing all the family members (function transformations) and describing them (characteristics). I will be assigning this project to be completed by students on their own time but you could also use it as an in-class assignment. Format of the completed scrapbook is unimportant.
Download it from scribd
Georgia Performance Standards:
MM1A1. (a-e) Students will explore and interpret the characteristics of functions, using graphs, tables, and simple algebraic techniques.