Although fractal images can be intriguingly complex, fractals are more than just pretty pictures. In this project, you'll explore the mathematical properties of the famous Mandelbrot and Julia sets. You'll learn about how these images...

This web site addresses counting and adding in fractal operations, as well as the role of the Fibonacci sequence in fractal geometry.

Learners will find patterns in fractals through this lesson and describe them mathematically. Students will use their prior knowledge of arithmetic with rational numbers in this lesson.

This computer tool offers studnets a chance to see fractals being made step by step, including their own, and view the mathematical data each produce.

This site from the Rice University provides a Fractals Unit for Elementary and Middle School Students. Find out what a fractal is and what it looks like. You can value fractals for their visual delight or mathmatical properties. This is...

With Cabri Geometry Jr. you never need to leave your classroom! The use of fractals can help understand the concepts of fractals and prepare for the HSPA. There are 2 separate activities to do in the classroom with the answers.

Determine the fractal dimensions of several line-deformation fractals. Input the scale factor and number of similar copies, and the dimension will be calculated.

Explore the relationship between graphic patterns and their mathematical representation. This video focuses on how fractals can be a visual representation of positive exponents.

Determine the relationship between graphic patterns and what they represent mathematically. This video focuses on how fractals can be a visual representation of negative exponents, which are a way to express repeated division.

This page briefly illustrates and discusses fractals, which are closely linked to the concept of iteration (repitition.) Site links to well known pictured fractals.

A simple explanation of fractals is presented, along with several diagrams including the Mandelbrot set and Julia set.

The fractal explorer shows how a very simple pattern, when repeated can produce an incredible range of images. From organic tree like structures to rigid geometric forms. Fun to use and lots of mathematical concepts involved.

This is an interesting site for information on chaos and fractals. Includes links to interactive activities to learn more.

This site progresses in iterations through Mandelbrot and Julia sets to explain fractals and the mathematics behind them.

This site provides some links to activities and lesson plans dealing with fractals and chaos.

This page is mainly oriented to the visual aspect of fractals, but without forgetting the process.

When Alice falls down the rabbit hole, she discovers a wonderful world of mathematics: Pascal's triangle, sequences of rabbit generations, and beautiful, never-ending fractals.

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.

This site contains many links to Fractal information where students go to the given links to discover interesting facts about fractals and many mathematical equations that represent a fractal.

See 21 beautiful fractals and watch them change as n increases.

The "Hilbert Curve Generator" activity helps students to visualize the steps in generating a Hilbert Curve fractal.

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...

Can you figure out what pattern comes next? Explore patterns and perimeter in this math challenge on fractals. A one page activity from the NCTM Math Challenges for Families collection.

Students explore the properties of fractal dimesions.