Area Model for 3^2 + 4^2 = 5^2, Pythagorean Theorem

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Area Model for 3^2 + 4^2 = 5^2: A Beautiful Relationship to Explore! This is an area model showing that 3^2 and 4^2 make up the complete 5^2. It's a special case of the Pythagorean Theorem, but it can be understood on its own without referencing the theorem. This relationship provides a fun way to explore simple numbers and their connections. The unit square measures 10 mm by 10 mm. The 5-square is a container that holds the 3-square and four 1x4 pieces of a 4-square together. Pedagogically, this model helps children visualize and understand integers and their squares in a tangible way. It also shows how to take apart and reassemble objects when doing math, an essential concept in algebra. Reference Boardman, Michael. (2000). Proof without words: Pythagorean runs. MAA Mathematics Magazine, vol. 73, No. 1, p. 59.