Fractal Geometry Lesson Plan Archive

http://classes.yale.edu/Fractals/LP/LP.html

Lesson Plans

Dimension Analysis: Why lines are 1-dimensional, squares are 2-dimensional, and cubes are 3-dimensional

Dimensions: How dimensions can be determined using logarithms

Introduction to Fractals: self-similarity, iteration, geometry of plane transformations

Pascal and Sierpinski Triangles: How is Pascal's triangle related to the Sierpinski gasket?

Possible topics for leson plans and where they fit into the curriculum

FRACTAL TOPIC CURRICULUM TOPIC Iterated Function Systems Geometry of plane transformations, also sequences, convergence, even basic ideas such as ratio and proportion Fractal dimension Logarithms, exponents, scaling, linear regression Block fractals Computing lengths, areas, and volumes, geometric series Mandelbrot set Complex arithmetic, complex iteration, sequences, convergence Graphical iteration Composition of functions and their domains and ranges Pascal's triangle Pascal's triangle, arithmetic in different bases