Exploring a Fractal
One of a series of iterated maps created for a teacher friend whose 6th Graders learn about functions, coordinates, plotting points, and spreadsheets. Iterated maps are a fun way to combine those math skills. In this one, you can locate the inital point as you wish, the click the "Show another point" button repeatedly to follow the trajectory of points that results. At any time, you may move the initial point around to see how the trajectory changes.
For an example of how to use this worksheet, please see the video https://www.youtube.com/watch?v=dceDzwbS36g.