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Lesson objective: Apply the method for a Pythagorean Theorem area model proof to a real-life situation.
This lesson provides an opportunity for students to apply their knowledge and understanding of geometric representations of the Pythagorean Theorem to a real-life situation. Students are asked to design a configuaration for a park where the square on the hypotenuse of a right triangle is decomposed into two squares that fit the squares on the legs of that right triangle.
Key Concept students will use:
Skills students will use:
Students engage in Mathematical Practice 4 (model with mathematics) as they use representations of of the Pythagorean Theorem to explain how to decompose the area of a park.
Key vocabulary:
Special materials needed (not required.) Students may draw park designs or use the manipulative template: