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The Fractal Geometry of Nature
Young scholars identify patterns found in nature. In this algebra lesson, students model situation in nature using fractals. They investigate biological geometric structures and draw conclusion based on geometric concepts.
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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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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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Fractal Fern
Students identify the location of coordinate pairs of an image. In this geometry lesson, students perform transformation and identify the image and pre-image point of location. They apply the concept of fractals to complete the...
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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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Why Study Fractals?
Students explore the concept of fractals. In this fractals lesson, students use the website to research where fractals occur in nature. Students research what fractals are and how fractals are used to solve real world problems.
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Day #8 - Fractals
Learners 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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Fractal Fraction Fun
Young scholars discover the interesting patterns and shapes referred to as "fractals." In this geometry lesson, students utilize pieces of colored construction paper to create the branches of a fractal tree. Young scholars discuss the...
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Irregular Fractals
Students explore the concept of irregular fractals. In this irregular fractals lesson, students discuss how to find fractal dimensions through teacher led discussion. Students calculate fractal dimensions of various fractals.
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Irregular Fractals
Middle schoolers 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
Pupils explore the concept of fractal patterns. In this fractal pattern lesson, students use an applet about the Hilbert Curve to answer questions about rectangles and other polygons. Pupils derive the fractal pattern when dividing...
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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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Chaos and Fractal Applications
Eighth graders identify the different applications of fractals. In this math lesson, 8th graders use graphing calculator to solve algorithms. They explain how changing parameters and initial conditions affect the solutions.
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Patterns In Fractals
Pupils find number patterns in the generation of several different types of fractals.
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Cutting Up in Class, Fractal Style
Learners 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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The Sierpinski Triangle
Students investigate the Sierpinski triangle. In this geometry lesson, students define fractal curves and its relationship to triangles. They identify repeating sequences and relate it to fractals.
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The Art and Science of Fractals
Learners 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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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.
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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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Pascal's Triangle
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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The Chaos Game
Students measure and predict the behavior of a fractal. In this investigative lesson students divide into groups, and participate in an activity that includes drawing triangles and coloring vertices.
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Properties of Fractals
Students build a working definition of a regular fractal, they measure the concepts of dimensions and scale, they explore the concept of a logarithm and they attempt to solve simple exponential equations for the exponent both by trial...
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Lesson #10 Fractals
Students listen to a lecture on fractals. A video is mentioned, but not linked to the lesson. Students discuss graphing calculators and their features.