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
Introduction to Fractals: Geometric Fractals
Students study and observe the patterns made by the areas of the Sierpinski Triangle. Students use the computer to draw two or three iterations to discover the number patterns. Students complete worksheets based on Geometric Fractals.
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
Introduction to Fractals: Infinity, Self-Similarity and Recursion
Young scholars think about several of the concepts from fractals, including recursion and self similarity. They use mathematical concepts of line segments, perimeter, area and infinity are used, and skill at pattern recognition is...
Curated OER
The Mandelbrot Set
Students are introduced to the notion of a complex number and function iteration in order to motivate the discussion of Julia sets and the Mandelbrot set.
Curated OER
Properties of Fractals
Young scholars build a working definition of a regular fractal, they measure the concepts of dimensions and scale, they explore the concept of a logarithm and they attempt to solve simple exponential equations for the exponent both by...
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.
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.
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.