Curated OER
The Dragon Curve Fractal
Learners 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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Fractals: Koch Snowflake
Students investigate the properties of Koch's snowflake. In this geometry lesson plan, students investigate fractals and patterns. They create Koch's snowflake using Cabri software.
Curated OER
Fractal Worksheets
This page contains links to 4 different worksheets containing fractal problems relating to calculus.There are also 2 links to triangular and square dot paper. All items are available for download.
Curated OER
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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Fractals Rock
Students identify the repeated sequences of a pattern. In this geometry lesson, students identify fractals in patterns and nature. They construct a fractal tree and make conjectures.
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Fractals
Students explore the concept of fractals. In this fractal lesson plan, students use applets to explore Koch's Snowflake, Sierpinski's Triangle, and other fractals. Students develop these concepts through exploration and teacher guided...
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The Fractal Coast
Students investigate measuring as it relates to the real world. In this geometry instructional activity, 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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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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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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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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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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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.
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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...
Curated OER
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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The Circle's Measure
Listen to the story "Sir Cumference and the Dragon of Pi" and solve the riddle and to save Sir Cumference from the knights. Your students will love mixing an activity with story and will practice their measuring skills while...
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A Summer Reading List for Math Teachers
Teachers can read through these math-related books for pure enjoyment.
Curated OER
The Mandelbrot Set
Students are introduced to the notion of a complex number and function iteration in order to motivate the discussion of Julia sets and the Mandelbrot set.
Curated OER
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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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...
NTTI
Transform Your Geometry into a Work of Art
Mathematicians utilize artwork to help illustrate the major ideas of transformations and tessellations. They visually identify transformations including reflections, rotations, and translations. They discuss how artists have used...
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Patterns in Pascal's Triangle
Students examine the patterns in Pascal's Triangle. For this recognizing lesson, students view a model of Pascal's Triangle and describe the patterns of the multiples. Students identify the shapes that are made within Pascal's Triangle.
Shodor Education Foundation
Two Variable Function Pump
Use a function to operate on two variables. Pupils look at operating with complex numbers as a function of two variables. The interactive squares the input and adds a constant to it. Learners visualize the resulting output and its...
Curated OER
Geometry Everywhere; Fractal, Math & Form
High schoolers explore fractal geometry. They do online explorations of fractals to discover applications of fractal geometry for a report.
Curated OER
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.