Lesson Plan: Linear Transformation Composition
This lesson plan includes the objectives and prerequisites of the lesson teaching students how to find the matrix of two or more consecutive linear transformations.
Objectives
Students will be able to
- write down matrix representations of rotations, reflections, and dilations of the plane,
- calculate compositions of these transformations by multiplying the corresponding matrices,
- interpret certain linear transformations of the plane by looking at their action on vectors.
Prerequisites
Students should already be familiar with
- matrices,
- vectors,
- trigonometry,
- Euclidean plane geometry.
