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This activity features a Java applet that demonstrates the building of Sierpinski's triangle, beginning with an equilateral triangle that has sides of length one. It then goes on to show the next six iterations. The original triangle is divided into smaller triangles by lines connecting the midpoints of the triangle's sides. For each iteration, the applet states the number of triangles and the length of the sides. Functionality is limited to moving between the seven iterations. From the activity page, What, How, and Why buttons open pages that explain the activity's purpose, function, and how the mathematics fits into the curriculum. The pages also reference related NCTM standards for grades 6-8. Supplemental resources include lesson plans, handouts, and exploration questions for further investigation into the properties of the Sierpinski Triangle. The activity is linked to related interactivate modules with applets and background discussions about the mathematics of fractals. Copyright 2005 Eisenhower National Clearinghouse
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