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...
Science Buddies
Science Buddies: Exploring Fractals
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...
Incredible Art Department
The Incredible Art Department: Art Tessellations
Looks at tessellation artists, including M.C. Escher, Robert Fathauer, and Roger Penrose. This is followed by a discussion of fractals and their similarities and differences to tessellations, and links to lessons and resources on...
Fundación Cientec
Fractales en Su Aula
Lesson plans and activities available in Spanish dealing with fractals. Some are also available in English. Activities are step by step and easy to understand. Included topics are the Koch Snowflake, Sierpinski's triangle, and Pascal's...
University of Waterloo (Canada)
University of Waterloo: Cemc: Math Circles: Patterns [Pdf]
This worksheet provides exercises in working with number patterns. Included are questions related to fractals, patterns in exponents, and perimeter and area.
Shodor Education Foundation
Shodor Interactivate: Emerging Patterns
Students consider the patterns that emerge from agent models and geometric fractals.
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.
Shodor Education Foundation
Shodor Interactivate: Another Hilbert Curve Generator
The "Hilbert Curve Generator" activity helps students to visualize the steps in generating a Hilbert Curve fractal.
Texas Instruments
Texas Instruments: Using Cabri Geometry to Create Fractals
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.
Texas Instruments
Texas Instruments: Exploring Self Similar Shapes
With the included programs students can design paths and have the calculator increase the complexity of the path to simulate the generation of a fractal.
TED Talks
Ted: Ted Ed: The Case of the Missing Fractals
A bump on the head, a mysterious femme fatale and a strange encounter on a windswept peak all add up to a heck of a night for Manny Brot, Private Eye. Watch as he tries his hand at saving the dame and getting the cash! Shudder at the...
TED Talks
Ted: Ted Ed: Fractals and the Art of Roughness
Mathematics legend Benoit Mandelbrot develops a theme he first discussed in 1984- the extreme complexity of roughness and the way that fractal math can find order within patterns that seem unknowably complicated. [17:10]
PBS
Nova Teachers: Hunting the Hidden Dimension: Classroom Activity
Students learn about the characteristics of fractals. The resource consists of a lesson plan, video, and interactive resource that explores fractals.
Other
P.u.e.m.a.c.: Fractales
On this site, you can find information on fractals and also create fractals by using the Fractals Simulator. Requires Java.
Other
Arrakis: Area Fractal
This page is mainly oriented to the visual aspect of fractals, but without forgetting the process.
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.
PBS
Pbs: Nova: A Sense of Scale
Students can use this interactive tool to explore a Mandelbrot set of fractals. As they increase magnification up to 250,000,000 times, they keep returning to an image similar to the one they started with.
Shodor Education Foundation
Shodor Interactivate: Lesson: Finding Patterns in Fractals
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.
National Council of Teachers of Mathematics
Nctm: Illuminations: Fractal Tool
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.
Mathigon
Mathigon: Fractals
Explore this course in fractals and dimensions including topics of The Sierpinski Gasket, The Mandelbrot Set, fractals in nature and technology, and fractals in 3-dimensional space.
Illustrative Mathematics
Illustrative Mathematics: 6.ee,g Sierpinski's Carpet
In this task, 6th graders are presented with a large square divided into 9 squares and the center square is then removed. They are asked to find the area of the 8 remaining squares. Each smaller square is divided in the same way and the...
Rice University
Rice University: Cynthia Lanius: Fractals Unit
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...
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.