Lesson Plan: Linear Transformations in Planes: Reflection
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find the matrix of linear transformation of reflection along the 𝑥- or 𝑦-axis or the line of a given equation and the image of a vector under the reflection.
Objectives
Students will be able to
- calculate the image of a single vector under a linear transformation that reflects in a line or axis,
- calculate the image of a shape in the 2D plane under a linear transformation that reflects in a line or axis,
- interpret the geometric effect of applying a given reflection matrix,
- find the matrix that represents a reflection of a vector or shape
- in the - or ,
- in a line of a given equation.
Prerequisites
Students should already be familiar with
- matrix multiplication,
- function transformations in the plane.
Exclusions
Students will not cover
- scaling,
- rotations.