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Pick a Polygon
A square-based dotted grid is given. An initial investigation involved drawing triangles on the grid and determining the area, number of dots on the perimeter, and number of dots enclosed by each triangle. The next challenge is to move on to other polygons and tabulate the results.
By inspection of the results, it is possible to deduce Pick’s theorem. A proof of Pick’s theorem is given by solving simultaneous equations.
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Pick a Polygon: presentation 775.71 KB
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Pick a Polygon: support file 25.22 KB
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Pick a Polygon: presentation 775.71 KB -
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