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Lesson Plan
Curated OER

Patterns in Nature

For Teachers 9th - 12th
Research patterns in nature which illustrate biological and mathematical concepts. Your class will discover and explore aspects of fractals, Fibonaccis numbers, whale and butterfly migration patterns, whale identification, flower...
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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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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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PPT
Curated OER

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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Lesson Plan
Curated OER

Fractals Lesson Plan

For Teachers 9th - 12th
Students create fractals. In this lesson, students use a computer program to explore different types of fractals.
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Lesson Plan
Curated OER

Beauty: Patterns in Nature

For Teachers 5th - 12th
Young scholars explore the patterns of nature. In this interdisciplinary lesson plan, students examine beauty in nature and participate in a hands-on simulation that demonstrates how human preferences for beauty have led to an increased...
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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 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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Lesson Plan
Curated OER

Fractals, An Inquiry

For Teachers 6th - 8th
Learners observe and discuss several different fractal drawings and relate them to patterns they see in nature. They use an online fractal tool to create and modify a fractal image and then create their own fractal image with paint.
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Lesson Plan
Curated OER

Finding Patterns in Fractals

For Teachers 7th - 8th
Students discover patterns and sequences. They use a website to explore patterns and fractals. Students share their discovery of fractals and their patterns with the class. They develop a list of patterns used in everyday life.
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Lesson Plan
Curated OER

Fun With Fractals

For Teachers 7th - 11th
Students 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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Activity2:06
PBS

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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Lesson Plan
Curated OER

Fractals, An Inquiry: Day 3

For Teachers 6th - 8th
Students develop questions for their inquiries and plan their experiments. They are supported by a modeled case study of Max the Dog's Inquiry Planning Process, as well as supported by a planning template, The Inquiry Organizer.
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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

The Dragon Curve Fractal

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

Fractal and the Dragon Curve

For Teachers 11th - 12th
Students explore Fractal designs. In 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
Curated OER

The Fractal Geometry of Nature

For Teachers 8th - 10th
Young scholars identify patterns found in nature. In this algebra lesson, 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

Why Study Fractals?

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

Fractals, An Inquiry: Day 4

For Teachers 6th - 8th
Students put their growing understanding of the scientific inquiry process to work. They use paint to implement their plans to experiment with how changing one aspect of the fractal making process influences their appearance.
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Lesson Plan
Curated OER

Introduction To Fractals: an Inquiry

For Teachers 6th - 8th
Students evaluate a playful case study about a dog searching for fetching sticks to identify the steps in the science inquiry method. They read the case study and fill in a worksheet with the examples of questions, observations and...
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Lesson Plan
Curated OER

Fractals, An Inquiry: Day 5

For Teachers 6th - 8th
Students explore the process and criteria for generating an effective report of their inquiries into fractals.They are provided with multiple report options for expressing their knowledge of the inquiry process.
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Lesson Plan
Curated OER

Chaos and Fractal Applications

For Teachers 8th
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.
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Lesson Plan
Curated OER

The Art and Science of Fractals

For Teachers 7th - 10th
Learners explore the world of fractal images and the mathematics behind them. They explore fractal sites on the Internet. They create their own fractal designs. They publish a calendar displaying their favorite fractal art.
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Unit Plan
Mathematics Vision Project

Module 3: Arithmetic and Geometric Sequences

For Teachers 8th - 10th Standards
Natural human interest in patterns and algebraic study of function notation are linked in this introductory unit on the properties of sequences. Once presented with a pattern or situation, the class works through how to justify...