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23 Self-similarity Lesson Plans
Showing 1 - 10 of 23
- Grade Range
- 12th
- Rating
Students generate and analyze cyclic, recursive, and fractal patterns students describe periodic events, including those represented by sinusoidal curves, using the terms amplitude, period, maximum and minimum values, vertical and horizontal shift. Full Review »
- Grade Range
- 4th - 7th
- Rating
Students create three-dimension models demonstrating exponents, multiplying and dividing of fractions, and the use of repeating patterns in tessellations, mirror images, and tiling. Full Review »
- Grade Range
- 6th - 12th
- Rating
Students describe the behavior of a fractal known as the Sierpinski triangle (S); develop a deterministic construction of S; become familiar with a self-similar object (a fractal) by playing The Chaos Game and determine an algorithm for the fractal. Full Review »
- Grade Range
- 9th - 12th
- Rating
Students explore ratios in various contexts and from different perspectives. They explore the relationship between the numbers in the Fibonacci Sequence to develop a ratio. Full Review »
- Grade Range
- 9th - 12th
- Rating
Students explore fractal geometry. They do online explorations of fractals to discover applications of fractal geometry for a report. Full Review »
- Grade Range
- 9th - 12th
- Rating
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. Full Review »
- Grade Range
- 6th - 8th
- Rating
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. Full Review »
- Grade Range
- 6th - 8th
- Rating
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 and error using logs. Full Review »
- Grade Range
- 6th - 8th
- Rating
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. Full Review »
- Grade Range
- 9th - 10th
- Rating
Students discuss and explore what fractals are and some different properties that they hold. They then build a simple fractal of their own in order to reinforce those concepts. Full Review »
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