Learning goals: Teacher Facing Comprehend the term “Pythagorean Theorem” (in written and spoken language) as the equation $a^2+b^2=c^2$ where $a$ and $b$ are the lengths of the legs and $c$ is the length of the hypotenuse of a right triangle. Describe (orally) patterns in the relationships between the side lengths of triangles. Determine the exact side lengths of a triangle in a coordinate grid and express them (in writing) using square root notation. Full lesson plan (warm-up, activities, synthesis, cool-down prompt) from 8.8 Pythagorean Theorem and Irrational Numbers, Grade 8.