Curated OER
Fractals Rock: Investing the Fractal Tree
Students investigate the relationship between fractals and sequences. In this geometry instructional activity, students build a fractal tree. They investigate different career fields where fractals are used in the real world.
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Fractal and the Dragon Curve
Learners explore Fractal designs. For 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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Creating Fractals
Learners 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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Fractal Fern
Students identify the location of coordinate pairs of an image. In this geometry instructional activity, students perform transformation and identify the image and pre-image point of location. They apply the concept of fractals to...
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Pyramid in The Desert
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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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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Cantor Set
Discover an interesting mathematical object that your algebra learners will enjoy investigating. Their adventure will lead them to the generation of a finite geometric series.
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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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Fractals, An Inquiry: Day 4
Students put their growing understanding of the scientific inquiry process to work. They use paint to implement their plans to experiment with how changing one aspect of the fractal making process influences their appearance.
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Beauty: Patterns in Nature
Students explore the patterns of nature. In this interdisciplinary instructional activity, students examine beauty in nature and participate in a hands-on simulation that demonstrates how human preferences for beauty have led to an...
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Cutting Up in Class, Fractal Style
Students create three-dimension models demonstrating exponents, multiplying and dividing of fractions, and the use of repeating patterns in tessellations, mirror images, and tiling.
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Introduction To Fractals: an Inquiry
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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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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Patterns In Fractals
Students find number patterns in the generation of several different types of fractals.
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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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Irregular Fractals
High schoolers explore the concept of irregular fractals. In this irregular fractals activity, students discuss how to find fractal dimensions through teacher led discussion. High schoolers calculate fractal dimensions of various fractals.
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Fractals, An Inquiry: Day 5
Pupils explore the process and criteria for generating an effective report of their inquiries into fractals.They are provided with multiple report options for expressing their knowledge of the inquiry process.
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The Chaos Game
Students measure and predict the behavior of a fractal. In this investigative activity students divide into groups, and participate in an activity that includes drawing triangles and coloring vertices.
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Geometry Everywhere; Fractal, Math & Form
Students explore fractal geometry. They do online explorations of fractals to discover applications of fractal geometry for a report.
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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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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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Spatial Characterization of Animal Movement
Learners identify biotic and abiotic factors which may alter the observed patterns in plant communities with different structural characteristics, climate, or environmental constraints.
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The Mandelbrot Set
Students explore the Mandelbrot Set. They are introduced to the concept of a complex number and function in order to motivate the discussion of Julia and Mandelbrot sets. Students investigate fractals and how they are built.
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Koch Snowflake
Students investigate Koch's Snowflake. In this geometry lesson, students identify the properties of creating Koch's snowflake. They solve problems dealing with fractals and patterns.