Hi, what do you want to do?
Curated OER
Investigating the Sierpinski Triangle
Students solve and analyze the sierpinski's triangle. In this geometry lesson, students identify properties and theorem of triangles. They solve problems involving angles and sides of triangles.
Curated OER
CHAOS AND COMPUTERS
Students discuss the Chaos Theory and how it came into existence.They observe order and compare it to the randomness of chaos. The lesson features the playing of a game to reinforce concepts.
University of Massachusetts
Fractal Project: Exploring Fractals
A good beginner's site for fractals - the language is straightforward and requires only minimal experience to be able to understand the topic. (Note: When clicking on links on archived site, they may pause and appear not to be found...
Boston University
Fractal Geometry of the Mandelbrot Set Ii
This web site addresses counting and adding in fractal operations, as well as the role of the Fibonacci sequence in fractal geometry.
Texas Instruments
Texas Instruments: Numb3 Rs: I, It, Itera, Iteration
Based off of the hit television show NUMB3RS, this lesson introduces students to the notion of Brownian motion and has students graph a sample Brownian particle. In Brownian motion, each "step" depends on the "steps" taken previously,...
Wolfram Research
Wolfram Math World: Fractals
This page briefly illustrates and discusses fractals, which are closely linked to the concept of iteration (repitition.) Site links to well known pictured fractals.
Shodor Education Foundation
Shodor Interactivate: Lesson: The Mandelbrot Set
In this lesson students will explore Julia sets and the Mandelbrot set. In the process they will learn about fractals and explore complex numbers and function iteration.
Boston University
Bu: Fractal Geometry of the Mandelbrot Set
This site progresses in iterations through Mandelbrot and Julia sets to explain fractals and the mathematics behind them.
Boston University
Boston University: Chaos, Fractals and Arcadia
This is an interesting site for information on chaos and fractals. Includes links to interactive activities to learn more.
Shodor Education Foundation
Shodor Interactivate: Lesson: Fractals
This site provides some links to activities and lesson plans dealing with fractals and chaos.
Other
Research Pages: Circle Inversion Fractals
This site introduces the iteration of circle inversions and describes the associated properties.
Other
Eal: Fract Ed
A great resource for beginners. The site begins with a definition of iteration of functions, and proceeds from there to discuss fractal dimension.
Shodor Education Foundation
Shodor Interactivate: Two Variable Function Pump
Enter two complex numbers (z and c) as ordered pairs of real numbers, then click a button to iterate step by step. The iterates are graphed in the x-y plane and printed out in table form.
Other
Julia Sets, Complex Deterministic Fractals
Here's an example of "What a 2 Dimensional Julia Set will look like using modern computers with their sophisticated graphical displays." Gaston Julia published his theories long before computers and as the site's author remarks, "What a...
Shodor Education Foundation
Shodor Interactivate: The Chaos Game
Play the Chaos Game by experimenting with probabilities. Learn about an apparently random process with a not-so-random, geometric fractal result.
CK-12 Foundation
Ck 12: Geometry: Self Similarity
[Free Registration/Login may be required to access all resource tools.] Apply the concept of self-similarity.
CK-12 Foundation
Ck 12: Geometry: Self Similarity
[Free Registration/Login may be required to access all resource tools.] This concept introduces students to self-similarity and presents several common examples of self-similarity.
CK-12 Foundation
Ck 12: Geometry: Self Similarity Study Guide
[Free Registration/Login may be required to access all resource tools.] This study guide looks at several examples of self-similarity.
Curated OER
Research Pages: Circle Inversion Fractals
This site introduces the iteration of circle inversions and describes the associated properties.
Curated OER
Research Pages: Circle Inversion Fractals
This site introduces the iteration of circle inversions and describes the associated properties.