# 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