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Fabulous Fractals
Students view a video to discover how patterns in nature relate to math. They explore the concept of exponential growth by observing and creating fractals. They solve and design word problems.
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What are Fractals?
Middle and high schoolers identify and analyze fractals and research information using the Internet to locate information about them. They look at fractals in relation to nature and other real world situations. Pupils create several...
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Introduction to Fractals: Geometric Fractals
Students explore the concept of fractals. In this fractals instructional activity, students discuss Sierpinski's Triangle using an applet. Students discuss the patterns involved with fractals. Students discuss the area of Sierpinski's...
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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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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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Fun With Fractals
Students use fractals to analyze nature. In this geometry lesson, students work in groups using technology and math to communicate. They identify where in the real world fractal can be seen.
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Getting Familiar with Fractals
Students use the Internet to answer lab questions about fractals, and then construct fractals using the initial stage and iteration rule. They complete tables and generate rules for the "nth" term and create their own fractals.
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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 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 Rock: Investing the Fractal Tree
Students investigate the relationship between fractals and sequences. In this geometry lesson, students build a fractal tree. They investigate different career fields where fractals are used in the real world.
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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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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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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 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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Math Morphing Proximate and Evolutionary Mechanisms
Students identify the different types of fractals. In this geometry instructional activity, students use math to analyze different biological phenomena. They collect data from the experiments and construct graphs.
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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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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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Fractals: Koch Snowflake
Pupils investigate the properties of Koch's snowflake. For this geometry lesson, students investigate fractals and patterns. They create Koch's snowflake using Cabri software.
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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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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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Two-Variable Function Pump Exploration Questions
Guiding students through two variable (complex) functions, this worksheet helps them perform complex arithmetic on 6 expressions. They iterate several functions with given starting points, determining whether each is a prisoner, escapee,...
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Koch Snowflake
Learners 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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Investigating the Sierpinski Triangle
Students solve and analyze the sierpinski's triangle. In this geometry lesson, students identify properties and theorem of triangles. They solve problems involving angles and sides of triangles.
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CHAOS AND COMPUTERS
Students discuss the Chaos Theory and how it came into existence.They observe order and compare it to the randomness of chaos. The lesson features the playing of a game to reinforce concepts.