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Lesson Plan
Curated OER

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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Lesson Plan
Curated OER

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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Interactive
CK-12 Foundation

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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Lesson Plan
Curated OER

The Fractal Geometry of Nature

For Teachers 8th - 10th
Students identify patterns found in nature. In this algebra instructional activity, students model situation in nature using fractals. They investigate biological geometric structures and draw conclusion based on geometric concepts.
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Lesson Plan
Curated OER

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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Lesson Plan
NOAA

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 plan in a five-part series takes young oceanographers aboard the NOAA Ship Okeanos to begin a study of ocean exploration. The lesson plan includes a...
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Lesson Plan
Curated OER

Introduction to Fractals: Infinity, Self-Similarity and Recursion.

For Teachers 9th - 12th
This lesson plan introduces young scholars to the ideas involved in understanding fractals. They develop a sense of infinity, self-similarity and recursion and
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Lesson Plan
Curated OER

Geometric Fractals and the Chaos Game

For Teachers 8th - 10th
Learners 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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Lesson Plan
Curated OER

Fractal and the Dragon Curve

For Teachers 11th - 12th
Learners explore Fractal designs. For this geometry lesson, students observe the different polygons created in nature and relate it to math. They define polygons on planes and rotate polygons about a point.
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Lesson Plan
NTTI

Transform Your Geometry into a Work of Art

For Teachers 9th - 10th
Mathematicians utilize artwork to help illustrate the major ideas of transformations and tessellations. They visually identify transformations including reflections, rotations, and translations. They discuss how artists have used...
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Lesson Plan
Curated OER

Fractals

For Teachers 10th - Higher Ed
Students explore the concept of fractals. In this fractal lesson plan, 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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Lesson Plan
Curated OER

Introduction to Fractals: Geometric Fractals

For Teachers 9th - 12th
Learners explore the concept of fractals. For this fractals lesson, students discuss Sierpinski's Triangle using an applet. Learners discuss the patterns involved with fractals. Students discuss the area of Sierpinski's triangle as the...
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Lesson Plan
Curated OER

Fractals and the Chaos Game

For Teachers 9th - 12th
Students explore the concept of fractals. In this fractals lesson plan, students play the "Chaos Game" via an applet. Students place dots on the screen to recognize that they have created Sierpinski's Triangle.
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Lesson Plan
Curated OER

Fun With Fractals

For Teachers 7th - 11th
Students use fractals to analyze nature. In this geometry instructional activity, 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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Lesson Plan
Curated OER

Getting Familiar with Fractals

For Teachers 9th - 12th
Students use the Internet to answer lab questions about fractals, and then construct fractals using the initial stage and iteration rule. They complete tables and generate rules for the "nth" term and create their own fractals.
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Lesson Plan
Curated OER

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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Lesson Plan
Curated OER

Fractals Rock

For Teachers 9th - 11th
Students identify the repeated sequences of a pattern. In this geometry lesson, students identify fractals in patterns and nature. They construct a fractal tree and make conjectures.
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Lesson Plan
Curated OER

Fractals Rock: Investing the Fractal Tree

For Teachers 9th - 10th
Students investigate the relationship between fractals and sequences. In this geometry instructional activity, students build a fractal tree. They investigate different career fields where fractals are used in the real world.
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Lesson Plan
Curated OER

The Dragon Curve Fractal

For Teachers 8th - 11th
Students identify the properties of a dragon curve. In this geometry instructional activity, students identify sequences and patterns as they solve fractals. They investigate patterns found in nature.
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Lesson Plan
Curated OER

Creating Fractals

For Teachers 8th - 10th
Learners solve problems using fractals. In this geometry lesson, students identify properties of fractals. They find patterns in their surroundings and relate it to the real world and math.
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Lesson Plan
Curated OER

Geometry Everywhere; Fractal, Math & Form

For Teachers 9th - 12th
Students explore fractal geometry. They do online explorations of fractals to discover applications of fractal geometry for a report.
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Lesson Plan
Curated OER

Fractal Fern

For Teachers 8th - 10th
Students identify the location of coordinate pairs of an image. In this geometry instructional activity, students perform transformation and identify the image and pre-image point of location. They apply the concept of fractals to...
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Activity
Noyce Foundation

Surrounded and Covered

For Students K - 12th Standards
What effect does changing the perimeter have on the area of a figure? The five problems in the resource explore this question at various grade levels. Elementary problems focus on the perimeter of rectangles and irregular figures with...
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Lesson Plan
Curated OER

Why Study Fractals?

For Teachers 9th - 12th
Young scholars explore the concept of fractals. In this fractals lesson, students use the website to research where fractals occur in nature. Young scholars research what fractals are and how fractals are used to solve real world...