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 Discover! This is an area model showcasing that 3^2 and 4^2 add up to 5^2. It's a unique case of the Pythagorean Theorem, but it can be explored without referencing the theorem itself. It's just a fun way to play with simple numbers and their connections. The unit square measures 10 mm x 10 mm. The 5-square is the container for the 3-square and four separate 1 mm x 4 mm pieces of a 4-square. Pedagogically, it provides children with visual and hands-on insights into integers and their squares, and more importantly, teaches them how to break down and rebuild concepts when doing math, which is a crucial idea in algebra. Reference Boardman, Michael. (2000). Proof without words: Pythagorean runs. MAA *Mathematics Magazine*, vol. 73, No. 1, p. 59.