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Lesson Plan
Curated OER

The Dragon Curve Fractal

For Teachers 8th - 11th
Young scholars 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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Lesson Plan
Curated OER

Creating Fractals

For Teachers 8th - 10th
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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Lesson Plan
Curated OER

The Fractal Geometry of Nature

For Teachers 8th - 10th
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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Lesson Plan
Curated OER

Fractal Fern

For Teachers 8th - 10th
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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Lesson Plan
Curated OER

Pyramid in The Desert

For Teachers 9th - 11th
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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Lesson Plan
Curated OER

Why Study Fractals?

For Teachers 9th - 12th
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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Lesson Plan
Curated OER

Fractal Fraction Fun

For Teachers K - 8th
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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Lesson Plan
Curated OER

Fractals, An Inquiry: Day 4

For Teachers 6th - 8th
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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Lesson Plan
Curated OER

Introduction to Fractals: Geometric Fractals

For Teachers 6th - 8th
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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Lesson Plan
Curated OER

Introduction To Fractals: an Inquiry

For Teachers 6th - 8th
Young scholars 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...
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Lesson Plan
Curated OER

Irregular Fractals

For Teachers 9th - 12th
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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Lesson Plan
Curated OER

Day #8 - Fractals

For Teachers 9th - 12th
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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Lesson Plan
Curated OER

Irregular Fractals

For Teachers 6th - 8th
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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Lesson Plan
Curated OER

Patterns in Fractals

For Teachers 8th - 10th
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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Lesson Plan
Curated OER

Fractals, An Inquiry: Day 5

For Teachers 6th - 8th
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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Lesson Plan
Curated OER

Properties of Fractals

For Teachers All
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 Plan
Curated OER

Patterns In Fractals

For Teachers 6th - 8th
Pupils find number patterns in the generation of several different types of fractals.
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Lesson Plan
Curated OER

Chaos and Fractal Applications

For Teachers 8th
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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Lesson Plan
Curated OER

The Art and Science of Fractals

For Teachers 7th - 10th
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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Lesson Plan
Curated OER

The Sierpinski Triangle

For Teachers 9th - 10th
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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Lesson Plan
Curated OER

Math Morphing Proximate and Evolutionary Mechanisms

For Teachers 9th - 12th
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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Lesson Plan
Curated OER

The Mandelbrot Set

For Teachers 10th - 12th
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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Lesson Plan
Curated OER

Pascal's Triangle

For Teachers 7th - 11th
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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Lesson Plan
Curated OER

Fractals Forever or Obvious and Hidden Order

For Teachers 9th - 12th
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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