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10 Lessons in Fractals, Complex Patterns, and Chaos

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Author:Jon Lee; Math Forum Teacher Exchange
Description: From the Wright-Connection 8-week summer program, in which Dayton, Ohio, middle and high school math and science teachers participated in the real-world applications of math and science at Wright-Patterson Air Force Base. The lessons, which emphasize learning by doing and provide many programs that students can experiment with and explore, include Do It by Functions; World Within a World, on self-similarity, scaling factors, and the Pythagoras tree; Shagadelic Patterns, on the Koch curve and Dragon curve; Where Is the Golden Ratio?; Leaky Pyramid and Rubik's Cube, on the Sierpinski triangle, Sierpinski pyramid, Cantor gasket, and Menger sponge; How Holey Is the Swiss Cheese?; Does God Play the Dice? on distributions; The Book of Numbers; How Does the Population Grow? on bifurcation and population dynamics; and You Now Have Chaos. Lessons available online, some with accompanying Flash animations; as MS Word documents and PC executable files to download.

Levels: Middle School (6-8), High School (9-12)
Languages: English
Resource Types: Lesson Plans and Activities
Math Topics: Golden Ratio/Fibonacci, Chaos, Fractals, Nonlinear Dynamics, Transformational Geometry, Functions, Probability

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