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- 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
- 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
- 3rd - 8th
- Rating

Students identify patterns in a geometrical figure (based on triangles) and build a foundation for the understanding of fractals. They make hypothesis and then develop experiments to test them. Full Review »
- Grade Range
- 12th - Higher Ed
- Rating

Students compare the Pascal Triangle to the Sierpinski Triangle. They identify relationships and patterns that occur within each mathematical object and between the two mathematical objects. 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
- 7th - 12th
- Rating

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. Full Review »
- Grade Range
- 6th - 8th
- Rating

Students observe and discuss several different fractal drawings and relate them to patterns they see in nature. They use an online fractal tool to create and modify a fractal image and then create their own fractal image with paint. Full Review »
- Grade Range
- 6th - 8th
- Rating

Students develop questions for their inquiries and plan their experiments. They are supported by a modeled case study of Max the Dog's Inquiry Planning Process, as well as supported by a planning template, The Inquiry Organizer. Full Review »
- Grade Range
- 9th - 12th
- Rating

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 fractals, complete a quiz, and explain the problem solving process. Full Review »

