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Fractals Teachers' Notes
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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Fabulous Fractals
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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What are Fractals?
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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Introduction to Fractals: Infinity, Self-Similarity and Recursion.
This instructional activity introduces students to the ideas involved in understanding fractals. They develop a sense of infinity, self-similarity and recursion and
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Geometric Fractals and the Chaos Game
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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Fractals
Students explore the concept of fractals. In this fractal instructional activity, students use applets to explore Koch's Snowflake, Sierpinski's Triangle, and other fractals. Students develop these concepts through exploration and...
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Fractals Lesson Plan
Students create fractals. In this lesson, students use a computer program to explore different types of fractals.
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Introduction to Fractals: Geometric Fractals
Students study and observe the patterns made by the areas of the Sierpinski Triangle. Students use the computer to draw two or three iterations to discover the number patterns. Students complete worksheets based on Geometric Fractals.
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Getting Familiar with Fractals
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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Fun With Fractals
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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Math Morphing Proximate and Evolutionary Mechanisms
Students identify the different types of fractals. In this geometry instructional activity, students use math to analyze different biological phenomena. They collect data from the experiments and construct graphs.
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Finding Patterns in Fractals
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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Introduction to Fractals: Geometric Fractals
Students explore the concept of fractals. In this fractals instructional activity, students discuss Sierpinski's Triangle using an applet. Students discuss the patterns involved with fractals. Students discuss the area of Sierpinski's...
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Fractals and the Chaos Game
Students explore the concept of fractals. For this fractals lesson, 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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Patterns in Nature
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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Using Cabri Geometry to Create Fractals
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 and the Dragon Curve
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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Fractals Rock
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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Fractals Rock: Investing the Fractal Tree
Students investigate the relationship between fractals and sequences. In this geometry lesson plan, students build a fractal tree. They investigate different career fields where fractals are used in the real world.
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Creating Fractals
Students 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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The Dragon Curve Fractal
Students 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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Fractals: Koch Snowflake
Students investigate the properties of Koch's snowflake. In this geometry lesson, students investigate fractals and patterns. They create Koch's snowflake using Cabri software.
National Research Center for Career and Technical Education
Business Management and Administration: Compound Interest - A Millionaire's Best Friend
Many math concepts are covered through this resource: percentages, decimals, ratios, exponential functions, graphing, rounding, order of operations, estimation, and solving equations. Colorful worksheets and a link to a Google search for...
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Fractals Forever or Obvious and Hidden Order
Students discuss ways computers use properties of similar figures to generate scale models and create scenes. they describe patterns they have seen on a fern, pineapple, or pinecone. Students research Benoit mandebrot, H. von Koch and...