Lesson Plan: Average and Instantaneous Rates of Change Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find the average rate of change of a function between two 𝑥-values and use limits to find the instantaneous rate of change.
Objectives
Students will be able to
- evaluate the average rate of change of a given function over an interval,
- find an expression of the average rate of change of a given function over a general interval, to ,
- use limits to find the instantaneous rate of change of a function at a point,
- use limits to find an expression of the instantaneous rate of change of a given function at a general point, ,
- find the average rate of change and instantaneous rate of change in the context of a real world system.
Prerequisites
Students should already be familiar with
- limits and limit notation,
- graphs of polynomial functions,
- tangent lines,
- secant lines.
Exclusions
Students will not cover
- considering the rate of change as a function,
- the definition of the derivative,
- differentiation.
