Curated OER
Alice in Fractalland
Take your class on a field trip to Fractalland where they'll learn all about number and shape patterns. Based on Disney's movie Alice in Wonderland, this resource takes young mathematicians on an adventure as they explore patterns in...
Curated OER
Pascal's Triangle
Students explore the concept of Pascal's Triangle. In this Pascal's Triangle lesson, students use an applet called 'Coloring Multiples' to explore Pascal's Triangle. Students develop patterns starting with various numbers in Pascal's...
Curated OER
Fractals Teachers' Notes
When you see a flower or a tree in nature do you see the math? This web resource contains many ideas for using fractals in a math class including Sierpinski’s triangle, Koch's Snowflake, and the Jurassic Park Fractal. Additionally, it...
Curated OER
What are Fractals?
Middle and high schoolers identify and analyze fractals and research information using the Internet to locate information about them. They look at fractals in relation to nature and other real world situations. Pupils create several...
Curated OER
Math Morphing Proximate and Evolutionary Mechanisms
Students identify the different types of fractals. In this geometry lesson, students use math to analyze different biological phenomena. They collect data from the experiments and construct graphs.
Curated OER
Fractals Lesson Plan
High schoolers create fractals. In this lesson, students use a computer program to explore different types of fractals.
Curated OER
The Chaos Game
Young scholars measure and predict the behavior of a fractal. In this investigative lesson students divide into groups, and participate in an activity that includes drawing triangles and coloring vertices.
Curated OER
Big Fleas Have Little Fleas!
Students study seamounts and learn the importance of structures to species. In this ocean explorer lesson, students participate in an activity that teaches them how to modify a seamount so that they are more suitable for species.
Curated OER
Patterns in Pascal's Triangle
Students examine the patterns that exist in Pascal's Triangle. They explore multiples and factors. Sudents use an applet to create and color the multiples in Pascal's Triangle.
Curated OER
Chaos and Fractal Applications
Eighth graders identify the different applications of fractals. In this math lesson, 8th graders use graphing calculator to solve algorithms. They explain how changing parameters and initial conditions affect the solutions.
Curated OER
The Mandelbrot Set
Young scholars 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.
Curated OER
Irregular Fractals
Students study and research irregular fractals and construct a few based on their research. Students practice pattern recognition skills and plane geometry skills calculating dimensions on the Fractured Pictures activity.
Other
Mathematics: Fibonacci Numbers and the Golden Section
This resource contains everything you ever needed to know about Fibonacci numbers. You'll find mathematical and historical facts, examples, problems, interactive demonstrations, and more.
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,...
American Association of Physics Teachers
Com Padre Digital Library: Physics to Go: Explore Physics on Your Own
Contains a full physics curriculum with links to games, webcasts, and activities. By creating a free account, students and teachers can create their own personal collection of resources.
Other
University of Edinburgh: Glossary of Introductory Computer Graphics Terms
This website, from the University of Edinburgh, provides a lengthy glossary of computer graphics terms written by Olin Lathrop, author of "The Way Computer Graphics Work". This site provides simple definitions of basic terms; no graphics...
Khan Academy
Khan Academy: Multiple Recursion With the Sierpinski Gasket
See a good example of a mathematical construct that is a fractal known as a Sierpinski gasket.
Shodor Education Foundation
Shodor Interactivate: Cantor's Comb
Learn about fractions between 0 and 1 by repeatedly deleting portions of a line segment, and also learn about properties of fractal objects.
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.
PBS
Pbs: Positive Exponents as Fractals
Explore the relationship between graphic patterns and their mathematical representation. This video focuses on how fractals can be a visual representation of positive exponents.
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.
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.