Geometry Semester A: A Proof of the Pythagorean Theorem
Pythagorean Theorem, which appears in week 2 of the institute curriculum for Geometry A, is often highly simplified or dumbed-down to an algorithm of exponents, when in fact it offers much deeper connections at the conceptual level to squares, areas and real-world applications, not to mention an opportunity to speak truth to its historical origins.
In this short course, you will first practice proving the Pythagorean Theorem before applying the logic of the theorem to determine unknown side lengths in two-dimensional.
Teachers will understand that the area of squares is directly related to solving for unknown side lengths of right triangles.
Teachers will know how to use visual models to substantiate or refute a claim
Teachers will be able to prove the Pythagorean Theorem using at least one of many possible proofs.
Teachers will be able to apply the Pythagorean Theorem to determine the unknown side lengths of a right triangle.
Teachers will believe that conceptual understanding of mathematical topics is a pre-requisite of enduring academic achievement.
Teachers will believe that the process of proving the Pythagorean Theorem through inquiry and problem-solving is essential to impart a deep understanding of the theorem
Teachers will believe that situating mathematical content within a context that is both meaningful and relevant to students is essential for students to be able to engage deeply in meaning making with content