Spring 2001 Chaos and Fractals
Syllabus

Week	Topics	Lesson	Needs
1/30/01	Geometric Iteration	1, 2	pencil, paper, books, computers
	Introductions Class Overview The goal for this class is to get a feel for one process by which fractals can be made. Key concepts: iterations, iteration rules and orbits, congruence and similarity Activities: Investigations involving the creation of fractals using iterations by addition or removal Lesson 1 - Investigations 4-6 Lesson 2 - Investigations 1-3		Introduction to Fractals - powerpoint presentation Week 1 Resources Challenge Questions on Discussion Forum
2/6/01	Self Similarity	3	pencil, paper, books, computers
	Introductions and Review Class Overview The goal for this class is to further exam and describe fractals. Key concepts: self-similarity, fractal dimension, magnification, rotation Activities: Investigations involving the creation of fractals with self-similarity Lesson 3- Investigations 2,4,5,6,7 Lesson 4- Investigation 6		More Fractals - powerpoint presentation Week 2 Resources Challenge Questions on Discussion Forum
2/13/01	Random Iterations	5	pencil, paper, books, computer
	Introductions and Review Class Overview The goal for this class is to investigate fractal patterns that arise from random interations. Key concepts: random processes, compression, rotation Activities: Investigations involving the creation of fractals with random iterations Lesson 5- Investigations 2,3,5 Lesson 6- Investigation 2 - 6 Lesson 7 - Investigation 3		Random Fractals - powerpoint presentation Week 3 Resources Challenge Questions on Discussion Forum Images made with Fractalina
2/20/01	Fractal Dimensions	9	pencil, paper, books, computer, Fractal Dimension program
	Introductions and Review Class Overview The goal for this class is to measure the fractal dimension of images. Key concepts: logarithms, fractal dimension, circle method, square method Activities: Measure the fractal dimension of different images and compare them quantitatively and qualitatively Lesson 9- Investigations 2,4,5 Find the fractal dimension of 3 fractals and explain your results. Homework: Complete the Project Proposal Form by 2/26/01		Fractal Dimension - powerpoint presentation Week 4 Resources Challenge Questions on Discussion Forum Project Proposal Form
2/27/01	Natural Fractals	10	plexiglass sheets, clips, syringes, liquids of different viscosities, funnel, cups or beakers
	Introductions and Review Class Overview The goal for this class is to investigate a natural fractal - viscous fingering. Key concepts: maps, viscous fingering Activities: Hele Shaw Experiment, plan research projects		Project Proposal Form Natural Fractals - powerpoint presentation Week 5 Resources
3/6/01	Student Research Projects		Week 6 - powerpoint presentation
3/13/01	Student Research Projects Talk on Talks		Talk on Talks powerpoint prsentation
3/20/01	Student Research Projects
3/27/01	Student Research Projects		Week 9 - powerpoint presentation
4/3/01	Student Presentations Final Evaluations		Don't forget to fill out your evaluation forms!

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