Unit 1 Constructions and Rigid Transformations

This unit shifts students from experimentally understanding rigid transformations on a coordinate grid to using construction tools without a grid, leading to more rigorous definitions of rotations, reflections, and translations. Students will then use these precise definitions and a few assertions to explain and prove angle relationships, like the Triangle Angle Sum Theorem. The unit also introduces the concept of transformations as functions, where points are inputs and outputs, and emphasizes using constructions to explore geometric properties without measurements, preparing students for future congruence proofs and formal geometric reasoning.