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Mathematics of Cartography
A map is a set of points, lines, and areas all defined both by position with reference to a coordinate system and by non-spatial attributes. These pages discuss how maps are used, give examples of different kinds of maps, and cover Map History and Math Topics - lines, points, areas, coordinates, etc., in particular Scale, Coordinate systems, and Projection. Also Problems, Resources, Careers in mapmaking, Teachers' Notes, and References.
This lesson plan for exploring fractals is designed so 4th through 8th grade students can work independently and be assessed innovatively. Conforms to 1989 NCTM standards; links to other fractal sites. Contents: Make a fractal: The Sierpinski triangle at the fourth iteration; What's so hot about fractals? Fractals often look like objects in nature; Internet research questions; Learn more about fractals: Chopping broccoli.
How to Make a Fractal
Take a familiar geometric figure (a triangle or line segment, for example) and operate on it so that the new figure is more "complicated" in a special way. Then operate on that figure in the same way and get an even more complicated figure. Then do it again and again...and again. Learn to make a famous fractal called the Sierpinski Triangle.
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