In this session, teachers will first explore strategies for teaching equations that lead to different types of solutions, including unique solutions, infinite solutions, no solutions, and approximate versus exact solutions. Building on this foundation, participants will then focus on the Pythagorean Theorem, learning how to guide students in solving for different sides of right triangles and applying the theorem in various contexts. The session will also introduce the converse of the Pythagorean Theorem, helping students verify whether a triangle is a right triangle. Finally, teachers will engage in modeling and reasoning practices, where students apply the Pythagorean Theorem in real-world scenarios and justify their approaches. This comprehensive approach equips teachers to address algebraic and geometric standards, fostering students’ understanding of equations, geometric relationships, and mathematical reasoning.
