| Abstract: | The author has extended Pick's theorem for simple closed polygonal regions to unions of simple closed polygonal regions–a topic that is manageable for middle grade students. From sets of data including numbers of boundary points and numbers of interior points, students are guided to discover Pick's theorem. Additionally, with the author's creation of crossing points, Pick's theorem is extended to include areas of other polygonal regions. The article is developed along lines of the 1989 Standards of the NCTM in the use of data tables which lead to the discovery of a formula. |
