Texas Instruments
Texas Instruments: Iteration
This activity is a review of iteration. There are three problems to check students' understanding of iteration.
Texas Instruments
Texas Instruments: Numb3 Rs: Shifting Cells
Based off of the hit television show NUMB3RS, this lesson introduces students to the concept of algorithms. Students are at first given a string of cells (one-dimensional), and then told to iterate the cells according to a couple basic...
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.
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.
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.
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.
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.
Education Development Center
Iteration
Making Mathematics provides a brief explanation and a list of examples of iterations.
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: Fractals
This site provides some links to activities and lesson plans dealing with fractals and chaos.
University of Colorado
University of Colorado: Iteration and Recursion Activities
These discrete math activities utilize the concepts of iteration and recursion. Students work in a group to solve real-world problems.
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.
Interactive Mathematics
Interactive Mathematics: Newton's Method
This lesson provides an example demonstrating the iterative method of finding the roots of a function using derivatives.
Thomas Jefferson National Accelerator Facility
Jefferson Lab: Mystery Math
Amaze your friends with this number trick! Mystery Math is a number game that allows you to guess another person's secret number. If you want to play Mystery Math with the computer, you will need a pencil, a piece of paper and a...