Module 26  Activities for Calculus Using the TI89 
Introduction  Assignment  Activity 1  Activity 2  Activity 3  Activity 4  Activity 5 
Activity 1: Infinite Series  Fractals 
Overview: Fractal geometry provides a new way for mathematicians and scientists to explore nature. Euclidean geometry models many regularly shaped natural phenomena such as cubic crystals, spherical planets, and elliptic orbits. Fractal geometry models irregular objects such as coastlines, mountains, clouds, plants, and the human brain. Models in nature are only finite approximations of fractals. A fractal is a selfsimilar geometric figure resulting from beginning with an initial figure and iterating a process an infinite number of times. This procedure is called recursion. A fractal has irregular (rough, crinkled) edges and fractal (fractional) dimension. Materials:
Activity: Infinite Series  Fractals 
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