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The Dragon Curve Fractal
Students identify the properties of a dragon curve. In this geometry instructional activity, students identify sequences and patterns as they solve fractals. They investigate patterns found in nature.
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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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The Fractal Geometry of Nature
Students identify patterns found in nature. In this algebra instructional activity, students model situation in nature using fractals. They investigate biological geometric structures and draw conclusion based on geometric concepts.
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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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Why Study Fractals?
Young scholars explore the concept of fractals. In this fractals lesson, students use the website to research where fractals occur in nature. Young scholars research what fractals are and how fractals are used to solve real world...
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Fractal Fraction Fun
Students 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. Students discuss the rules and...
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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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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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Introduction To Fractals: an Inquiry
Students 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
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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Day #8 - Fractals
Students 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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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 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. Students derive the fractal pattern when dividing...
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Fractals, An Inquiry: Day 5
Students 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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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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Patterns In Fractals
Pupils find number patterns in the generation of several different types of fractals.
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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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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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The Sierpinski Triangle
Learners 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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Math Morphing Proximate and Evolutionary Mechanisms
High schoolers identify the different types of fractals. In this geometry lesson plan, students use math to analyze different biological phenomena. They collect data from the experiments and construct graphs.
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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. For 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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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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