Transformations of Functions

Students were put in visible random groups of three alphabetically by first name. They brainstormed all the transformations they could remember and filled in a chart with three columns.
1) a description of the transformation
2) the function mapping f(x) --->
3) the ordered pair mapping (x,y) --->

We consolidated this as a class.

Here is the task:

Shape rolling                                 

Introduction to the activity:

In this activity you are going to investigate the rolling of a geometric shape.  You will cut out a shape and poke a hole in the shape.  With your pencil in the hole, “roll” the shape along a straight edge at the bottom of your chart paper.