Lesson Plan: Combining Function Transformations Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to identify function transformations that include a combination of translation, dilation, and reflection.
Objectives
Students will be able to
- identify the resulting graph of a given graph function after a combination of transformations has been performed (translation, reflection, and dilation),
- sketch the graph of a given basic function after a combination of transformations has been performed (translation, reflection, and dilation),
- understand how to combine transformations (translation, reflection, and dilation) both algebraically and graphically,
- identify a function for which a combination of transformations (translation, reflection, and dilation) is presented graphically,
- understand that combinations of transformations (translation, reflection, and dilation) may be equivalent to each other depending on the symmetry of the given function.
Prerequisites
Students should already be familiar with
- function notation,
- function transformations (translation, reflection, and dilation),
- basic functions graphs, including simple linear, quadratic, cubic, radical, and reciprocal graphs.
Exclusions
Students will not cover
- rotation transformations.
