Students explore the concept of fractals. In this fractal lesson, students use applets to explore Koch's Snowflake, Sierpinski's Triangle, and other fractals. Students develop these concepts through exploration and teacher guided questions.
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Fractal Charm: Space Filling Curves
Viewers fill their minds with space-filling curves watching a video of animations that show examples of space-filling curves, such as the Peano curve and the "Flow Snake" curve. The video also illustrates how space-filling curves relate...
3 mins 10th - Higher Ed Math
Fractals and the Art of Roughness
Roughness is everywhere, contributing to the incredible complexity of the world around us. This complexity, however, is not without it's own unique sense of order. Join world-renown mathematician Benoit Mandelbrot as he looks at numerous...
17 mins 9th - Higher Ed Math CCSS: Adaptable
Exponential Growth: Exponential, Fractal Snowflakes
Examine an exponential growth model. Using a fractal, learners calculate the perimeters of each stage. When comparing the consecutive perimeters, a pattern emerges. They use the pattern to build an equation and make conclusions.
10th - 12th Math CCSS: Designed
Using Cabri Geometry to Create Fractals
Learners construct the Sierpinski Triangle using Cabri Jr. They use a step-by-step guide to construct the Sierpinski Triangle on their graphing calculator and then discuss the formula for constructing a nth stage Sierpinski Triangle.
9th - 12th Math CCSS: Designed