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Park School Math
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interesting problems in the teaching of interesting problems
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Park School Math
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Park School Math Park School Math interesting problems in the teaching of interesting problems Skip to content Home About Us Mathematical Habits of Mind Our Curriculum Links « Older posts Pick’s Theorem January 7, 2018 – 6:52 pm Happy 2018! Here I am posting on this infrequently-updated blog, and who knows, maybe I’ll keep it up. In the past few years, I’ve seen Pick’s Theorem alluded to in various places. This theorem gives a surprisingly simple way to calculate the area of a polygon drawn on a lattice (most people imagine a Geoboard) based on the number of points on the polygon’s boundary and the number of points on the polygon’s interior. I won’t post the formula here in case you’d like to discover it for yourself, but here is one of many websites illustrating the theorem. For example, the polygons below each have 5 boundary points and 3 interior points. Despite their different shapes, Pick’s Theorem predicts that each will have an area of 4.5 units. ...
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