### We found 50 resources with the concept fractals

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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...
Instructional Video2:22
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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...
Activity
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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...
Instructional Video4:36
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#### Self Similarity: Lesson

For Students 8th - 11th
Zoom in to reveal more of the same. The resource introduces the concept of self similarity. Using a simple example, the video—part of a larger playlist covering geometry concepts—illustrates the meaning of a self similarity figure.
Instructional Video7:56
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#### Pi and the Mandelbrot Set

For Students 9th - Higher Ed
Pi shows up in a lot of places, even in the complex plane. Individuals watch a video in the Numberphile Pi series that shows the Mandelbrot set in the complex plane and explains how pi shows up in the number of iterations.
Instructional Video2:16
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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.
Lesson Plan
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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...
Interactive
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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.
Activity
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#### 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...
Instructional Video17:10
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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...
Activity
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#### Math Challenge #23: Fractals

For Students 6th - 8th
Young scholars explore the concepts of Sierpinski's triangle, ratios, and concentrations. In this exploratory lesson, students are given three problems to solve. Young scholars learn about Sierpinski's triangle, how to calculate mpg for...
Instructional Video2:34
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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...
Activity
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#### 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...
Lesson Plan
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#### Fabulous Fractals

For Teachers 5th - 8th
Learners 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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#### 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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#### 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...
Lesson Plan
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#### Pyramid in The Desert

For Teachers 9th - 11th
Students investigate the Sierpinski triangle and calculate the ratio and area of the triangle. In this fractals instructional activity, students calculate parts of a Sierpincki triangle. They use Google Earth to help them construct the...
Lesson Plan
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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.
Lesson Plan
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#### 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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#### 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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#### Introduction to Fractals: Infinity, Self-Similarity and Recursion.

For Teachers 9th - 12th
This instructional activity introduces high schoolers to the ideas involved in understanding fractals. They develop a sense of infinity, self-similarity and recursion and
Lesson Plan
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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...
Lesson Plan
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#### Math Morphing Proximate and Evolutionary Mechanisms

For Teachers 9th - 12th
Students 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.
Lesson Plan
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#### Fractals Lesson Plan

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