Lesson Plan: Function Transformations: Translations Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to identify function transformations involving horizontal and vertical shifts.
Objectives
Students will be able to
- understand horizontal translations of the function :
- corresponds to a shift of units in the positive direction,
- corresponds to a shift of units in the negative direction,
- understand vertical translations of the function :
- corresponds to a shift of units in the positive direction,
- corresponds to a shift of units in the negative direction,
- identify the resulting graph of a given graph when translated in the -direction or -direction,
- sketch the graph of a given basic function when translated in the -direction or -direction,
- understand how to combine a translation in the -direction and -direction both algebraically and graphically,
- identify the rule of a function for which a translation in the -direction and/or -direction is represented graphically.
Prerequisites
Students should already be familiar with
- function notations,
- basic functions graphs (including simple linear, quadratic, cubic, radical, and reciprocal function graphs).
Exclusions
Students will not cover
- function transformations involving dilation and reflection.
