Curated OER
Fractal Fraction Fun
Students discover the interesting patterns and shapes referred to as "fractals." For this geometry lesson, students utilize pieces of colored construction paper to create the branches of a fractal tree. Students discuss the rules and...
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Big Fleas Have Little Fleas
A benthic habitat hosts a vast collection of organisms and its structure influences the biodiversity. Middle-school marine biology explorers will discuss how corals impact structure, and therefore diversity, on the ocean floor. They draw...
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Introduction to Fractals: Geometric Fractals
Middle schoolers 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. Middle schoolers complete worksheets based on...
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Patterns in Fractals
Learners explore the concept of fractal patterns. For this fractal pattern lesson, students use an applet about the Hilbert Curve to answer questions about rectangles and other polygons. Learners derive the fractal pattern when dividing...
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Irregular Fractals
High schoolers explore the concept of irregular fractals. In this irregular fractals lesson, students discuss how to find fractal dimensions through teacher led discussion. High schoolers calculate fractal dimensions of various fractals.
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Patterns In Fractals
Middle schoolers find number patterns in the generation of several different types of fractals.
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Irregular Fractals
Students study and research irregular fractals and construct a few based on their research. Students practice pattern recognition skills and plane geometry skills calculating dimensions on the Fractured Pictures activity.
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Day #8 - Fractals
High schoolers explore fractals and draw fractal curves. To assist in remembering the methods, they sing a song about fractals, watch a video, and create images of fractals on dot paper. Students observe and discuss a comic strip about...
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Properties of Fractals
Students build a working definition of regular fractal, look carefully at the concepts of dimension and scale, and are introduced to logarithms. They solve simple exponential equations for the exponent both by trial and error and using...
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Lesson #10 Fractals
Students listen to a lecture on fractals. A video is mentioned, but not linked to the lesson plan. Students discuss graphing calculators and their features.
Noyce Foundation
Cut It Out
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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The Sierpinski Triangle
Students investigate the Sierpinski triangle. In this geometry lesson plan, students define fractal curves and its relationship to triangles. They identify repeating sequences and relate it to fractals.
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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.
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The Art and Science of Fractals
Students 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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The Mandelbrot Set
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 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...
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Math Morphing Proximate and Evolutionary Mechanisms
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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Pascal's Triangle
Young scholars 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. Young scholars develop patterns starting with various numbers in...
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Introduction to Fractals: Infinity, Self-Similarity and Recursion
Students think about several of the concepts from fractals, including recursion and self similarity. They use mathematical concepts of line segments, perimeter, area and infinity are used, and skill at pattern recognition is practiced.
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The Fractal Coast
Students investigate measuring as it relates to the real world. In this geometry lesson, students measure distances as they discuss fractals and how it relates to measuring. They measure both linear and non-linear distances.
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Koch Snowflake
Students investigate Koch's Snowflake. In this geometry lesson plan, students identify the properties of creating Koch's snowflake. They solve problems dealing with fractals and patterns.
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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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Math Games for Skills and Concepts
A 27-page packet full of math games and activities builds on algebra, measurement, geometry, fractional, and graphing skills. Young mathematicians participate in math games collaboratively, promoting teamwork and skills practice.
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Geometry: Fractal Scavenger Hunt
Students experience an Internet fractal scavenger hunt. They write a report on fractals using the Internet and recording the sites where they are located.