Ciancetta et al suggest ways that students can explore the relationship between areas of "off-the-peg" (OTP) geoboard squares. As they progress through their explorations, students have many opportunities to make sense of the mathematical structure embedded in the context and use it to investigate why the relationship exists. In expanding the exploration of OTP geoboard squares, students can create a rich mathematical environment where geometry, proportional reasoning, and algebra are all used to analyze and generalize interesting results.
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