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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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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
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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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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Activity
Noyce Foundation

Cut It Out

For Students K - 12th Standards
Explore the mathematics of the paper snowflake! During the five lessons progressing in complexity from K through 12, pupils use spatial geometry to make predictions. Scholars consider a folded piece of paper with shapes cut out. They...
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Activity
National Council of Teachers of Mathematics

Math Challenge #23: Fractals

For Students 6th - 8th
Young scholars explore the concepts of Sierpinski's triangle, ratios, and concentrations. In this exploratory lesson, learners are given three problems to solve. Young scholars learn about Sierpinski's triangle, how to calculate mpg for...
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Activity
Wake Forest University

Authentic Activities for Connecting Mathematics to the Real World

For Students 6th - 12th Standards
Check out the handout from a presentation that contains a collection of high school algebra projects connecting a variety of mathematics to the real world. Activities range from simple probabilities to calculus. The activities can be...
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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

Pascal's Triangle

For Teachers 7th - 11th
Students explore the concept of Pascal's Triangle. In this Pascal's Triangle lesson, students use an applet called 'Coloring Multiples' to explore Pascal's Triangle. Students develop patterns starting with various numbers in Pascal's...
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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

Pyramid in The Desert

For Teachers 9th - 11th
Students investigate the Sierpinski triangle and calculate the ratio and area of the triangle. For this fractals lesson, students calculate parts of a Sierpincki triangle. They use Google Earth to help them construct the different parts...
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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, 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

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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Lesson Plan
Curated OER

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

For Teachers 9th - 12th
This lesson introduces students 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

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
Curated OER

Math Morphing Proximate and Evolutionary Mechanisms

For Teachers 9th - 12th
Students identify the different types of fractals. In this geometry lesson, students use math to analyze different biological phenomena. They collect data from the experiments and construct graphs.
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Lesson Plan
Curated OER

Fractals Lesson Plan

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

Fun With Fractals

For Teachers 7th - 11th
Pupils 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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Lesson Plan
Curated OER

The Sierpinski Triangle

For Teachers 9th - 10th
Learners investigate the Sierpinski triangle. In this geometry lesson, students define fractal curves and its relationship to triangles. They identify repeating sequences and relate it to fractals.
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Lesson Plan
Curated OER

The Chaos Game

For Teachers 6th - 12th
Learners measure and predict the behavior of a fractal.  In this investigative lesson plan students divide into groups, and participate in an activity that includes drawing triangles and coloring vertices. 
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Lesson Plan
Curated OER

Big Fleas Have Little Fleas!

For Teachers 7th - 8th
Young scholars study seamounts and learn the importance of structures to species. In this ocean explorer lesson, students participate in an activity that teaches them how to modify a seamount so that they are more suitable for species. 
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Lesson Plan
Curated OER

Introduction to Fractals: Geometric Fractals

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