We are deep in our unit on complex numbers, and last class we talked about the 3 defining properties of a fractal and made the Sierpinski Triangle. Their homework was to find cool facts about fractals, and they came through. Today we watched some cool "zooming in" videos of the Mandelbrot Set and the Julia Set. Then we got to the business of understanding them by hand calculations (and the TI-84).
I don't know how much sunk in to how many people, but I hope I got across the insanity of 2 values REALLY close together on the complex plane can have wildly different results when applying the Mandelbrot Set iteration process. We also talked about how the colors come about.
Anyhow, bla bla bla, here was/is their homework, and I can't wait to see what they come up with for their own fractal. Most of this sheet is middle school level, but I figured it would drive home the iteration fact and the first few problems would give them an idea on how to create their own fractal. Maybe I should have incorporated complex numbers into it somehow. Next time? SHEET: