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34 resources with the keyterm fractals

Lesson Planet

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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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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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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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. For 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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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 lesson, students calculate parts of a Sierpincki triangle. They use Google Earth to help them construct the different parts...
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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 activity, 6th graders create fractals in a word processor by using right triangles.  Students rotate, shrink and reflect their designs.
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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 lesson plan introduces students to the ideas involved in understanding fractals. They develop a sense of infinity, self-similarity and recursion and
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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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The Mandelbrot Set

For Teachers 9th - 12th
High schoolers are introduced to the notion of a complex number and function iteration in order to motivate the discussion of Julia sets and the Mandelbrot set.
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Eight Multipart Fractals Problems with Explanations

For Students 12th - Higher Ed
In this fractals worksheet, student explore the concept of fractals by building on prior knowledge, graphing, and using a computer program. The solutions and explanations are both provided.
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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.
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The Sierpinski Triangle

For Teachers 9th - 10th
Students investigate the Sierpinski triangle. In this geometry activity, students define fractal curves and its relationship to triangles. They identify repeating sequences and relate it to fractals.
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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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The Mandelbrot Set

For Teachers 10th - 12th
Students explore the concept of Mandelbrot sets and Julia sets. In this Mandelbrot and Julia set lesson, students use a function integrator applet to investigate two-variable function iterations. Students use Julia set and Mandelbrot set...
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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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Fractals, An Inquiry

For Teachers 6th - 8th
Students 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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Introduction To Fractals: an Inquiry

For Teachers 6th - 8th
Pupils 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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Finding Patterns in Fractals

For Teachers 7th - 8th
Pupils 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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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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Math 32 Worksheet

For Students Higher Ed
In this college algebra worksheet, students review graphing, solve verbal problems, and investigate fractals.  The two page worksheet contains ten problems.  Answers are not included.
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Why Study Fractals?

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