Lesson Plan
Curated OER

The Mandelbrot Set

For Teachers 10th - 12th
Learners explore the concept of Mandelbrot sets and Julia sets. In this Mandelbrot and Julia set lesson, students use a function integrator applet to investigate two-variable function iterations. Learners use Julia set and Mandelbrot set...
Lesson Plan
Curated OER

The Mandelbrot Set

For Teachers 7th - 12th
Students explore the Mandelbrot Set. They are introduced to the concept of a complex number and function in order to motivate the discussion of Julia and Mandelbrot sets. Students investigate fractals and how they are built.
Unit Plan
Boston University

Fractal Geometry of the Mandelbrot Set Ii

For Students 9th - 10th
This web site addresses counting and adding in fractal operations, as well as the role of the Fibonacci sequence in fractal geometry.
Article
Other

Julia Sets, Complex Deterministic Fractals

For Students 9th - 10th
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...
Unit Plan
Boston University

Boston University: Chaos, Fractals and Arcadia

For Students 9th - 10th
This is an interesting site for information on chaos and fractals. Includes links to interactive activities to learn more.
Unit Plan
Boston University

Bu: Fractal Geometry of the Mandelbrot Set

For Students 9th - 10th
This site progresses in iterations through Mandelbrot and Julia sets to explain fractals and the mathematics behind them.
Activity
Education Development Center

Iteration

For Students 9th - 10th
Making Mathematics provides a brief explanation and a list of examples of iterations.
Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: Fractals

For Teachers 9th - 10th
This site provides some links to activities and lesson plans dealing with fractals and chaos.
Unit Plan
Other

Eal: Fract Ed

For Students 9th - 10th
A great resource for beginners. The site begins with a definition of iteration of functions, and proceeds from there to discuss fractal dimension.
Website
Cut the Knot

Cut the Knot!: Interactive Mathematics: Geometry Articles, Theorems, Problems

For Students 9th - 10th
Contains over five hundred Geometry articles, problems, puzzles, and games. Some sites relating to circles are provided within this list.
Activity
Interactive Mathematics

Interactive Mathematics: Fractals

For Students 9th - 10th
A simple explanation of fractals is presented, along with several diagrams including the Mandelbrot set and Julia set.