# Fractals Teacher Resources

Find Fractals lesson plans and worksheets
Showing 1 - 24 of 127 resources
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#### Fractals and the Art of Roughness

For Students 9th - Higher Ed Standards
Roughness is everywhere, contributing to the incredible complexity of the world around us. This complexity, however, is not without it's own unique sense of order. Join world-renown mathematician Benoit Mandelbrot as he looks at numerous...
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#### Fractal Lesson

For Teachers 9th - 10th
RAISE - Rural Alliance for Improving Science Education has put together an incredible lesson on fractals. Examples using Mandelbrot Sets, Sierpinski's Triangle and Koch's Snowflake are discussed with activities for each. There is a...
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#### Exponential Growth: Exponential, Fractal Snowflakes

For Students 10th - 12th Standards
Examine an exponential growth model. Using a fractal, learners calculate the perimeters of each stage. When comparing the consecutive perimeters, a pattern emerges. They use the pattern to build an equation and make conclusions.
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#### Alice in Fractalland

For Teachers 4th - 8th Standards
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...
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#### Fractals Teachers' Notes

For Teachers 5th - 8th
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...
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#### Fabulous Fractals

For Teachers 5th - 8th
Students view a video to discover how patterns in nature relate to math. They explore the concept of exponential growth by observing and creating fractals. They solve and design word problems.
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#### Using Cabri Geometry to Create Fractals

For Teachers 9th - 12th Standards
Learners construct the Sierpinski Triangle using Cabri Jr. They use a step-by-step guide to construct the Sierpinski Triangle on their graphing calculator and then discuss the formula for constructing a nth stage Sierpinski Triangle.
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#### To Explore Strange New Worlds

For Teachers 5th - 12th
It's time to boldly go where your class has not gone before! The introductory lesson in a five-part series takes young oceanographers aboard the NOAA Ship Okeanos to begin a study of ocean exploration. The lesson includes a comparison of...
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#### What Is The Coastline Paradox?

For Students 9th - 12th Standards
Measurements of Australia's coast line range from 12,500 km long to 25,700 km long. What causes the difference in these measurements? The video discusses the coastline paradox, fractals, and the importance of the size of a measuring stick.
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#### Human Tree: Ratios

For Students 6th - 7th Standards
Create a personal tree. By visiting an exhibit at the National Museum of Mathematics, the resource introduces the idea of fractals. The exhibit takes an image of the person and creates a tree by repeating scaled images on the shoulders...
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#### Human Tree: Dilations

For Students 6th - 8th Standards
Look at dilations exponentially. Using a fractal from a museum exhibit, the installment from the Math at the Core: Ratios series introduces the term dilation. The presenter points out that dilations can make images either smaller or...
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#### Creating Fractals Using Transformations

For Teachers 8th - 12th
Students create fractals using transformations in Microsoft Word. In this fractals lesson plan, students manipulate triangles to make new shapes.
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#### Fun With Fractals

For Teachers 7th - 11th
Learners use fractals to analyze nature. In this geometry lesson, students work in groups using technology and math to communicate. They identify where in the real world fractal can be seen.
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#### What are Fractals?

For Teachers 6th - 12th
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...
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#### Creating Fractals Using Transformations

For Teachers 6th
Sixth graders define what a fractal is and experiment with patterns. In this fractals lesson, 6th graders create fractals in a word processor by using right triangles.  Students rotate, shrink and reflect their designs.
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#### Introduction to Fractals: Infinity, Self-Similarity and Recursion.

For Teachers 9th - 12th
This instructional activity introduces students to the ideas involved in understanding fractals. They develop a sense of infinity, self-similarity and recursion and
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#### Geometric Fractals and the Chaos Game

For Teachers 8th - 10th
Students define fractals and patterns. They explore how a seemingly random process can result in a pattern. Students practice probability and fractions skills by playing the chaos game online.
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#### Math Morphing Proximate and Evolutionary Mechanisms

For Teachers 9th - 12th
High schoolers identify the different types of fractals. For this geometry lesson, students use math to analyze different biological phenomena. They collect data from the experiments and construct graphs.
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#### Fractal Charm: Space Filling Curves

For Students 10th - Higher Ed
Viewers fill their minds with space-filling curves watching a video of animations that show examples of space-filling curves, such as the Peano curve and the "Flow Snake" curve. The video also illustrates how space-filling curves relate...
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#### Introduction to Fractals: Geometric Fractals

For Teachers 9th - 12th
Students explore the concept of fractals. In this fractals lesson plan, students discuss Sierpinski's Triangle using an applet. Students discuss the patterns involved with fractals. Students discuss the area of Sierpinski's triangle as...
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#### Irregular Fractals

For Teachers 6th - 8th
Students explore irregular fractals and bild a few, practice their pattern recognition skills, and practice their plane geometry skills.
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#### Fractals Lesson Plan

For Teachers 9th - 12th
High schoolers create fractals. In this lesson plan, students use a computer program to explore different types of fractals.
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#### Fractals

For Teachers 10th - Higher Ed
Students explore the concept of fractals. In this fractal lesson, students use applets to explore Koch's Snowflake, Sierpinski's Triangle, and other fractals. Students develop these concepts through exploration and teacher guided...
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#### Fractal Functions

For Teachers 6th - 7th
Students build fractals. In this math lesson, students examine the patterns of fractal development and describe them using algebra.