Grade Level(s): 9, 10, 11, 12
Computer for Presenter, Computers for Students, Internet Connection, LCD Projector
Keywords: fractals, fractal geometry, chaos game, difference equations, bounded trajectories, Madelbrot set, Sierpinski triangle, trajectory, bounded, unbounded, initial conditions
This lesson requires a knowledge of basic algebra, plus the mechanics of complex arithmetic. A tutorial on complex arithmetic accompanies this lesson, for students to complete the night in advance (if this material is not a part of your curriculum). We have also prepared a quick quiz on this material that you could work through as a class to refresh everyone's memory (or have students take individually to provide extra motivation to complete the tutorial!). The lesson begins with a thought experiment/demonstration that can be implemented in several ways. Feel free to choose the method that will work best in your classroom.
After 18:06 on the video, the rest is a teacher's guide.
Source and Access Information
Name of Author/Source: MIT BLOSSOMS
District/Organization of Contributor(s): Massachusettes Institute of Technology
Is this Resource freely Available? Yes
Access Privileges: Public
* Please note that examples of resources are not intended as complete curriculum.