IB Math AI AHL 3.9 - Geometric Transformations

This IB Math AI HL 3.9 – Geometric Transformations slide deck develops a rigorous understanding of how matrices model transformations in the plane. Students learn to represent points as vectors and apply transformation matrices to perform stretches, enlargements, rotations, reflections, and translations, with clear links between algebraic operations and their geometric effects.

The lesson progresses from single transformations to composites, helping students visualize how multiple matrix operations combine to produce complex geometric changes. A dedicated focus on the determinant builds conceptual insight into how transformations affect area and orientation, reinforcing the geometric meaning behind matrix calculations.

With its structured explanations, visual proofs, and exam-style practice problems, this slide deck supports advanced classroom instruction and independent study, equipping HL students with the tools needed to confidently analyze and apply geometric transformations in IB assessments.