## Rates of Change

## Advanced Functions

MHF4U1 (Grade 12 University Preparation)

## Introduction to Rates of Change | Part 1

## Concepts

- distance versus displacement
- speed versus velocity
- distance-time graphs
- displacement-time graphs
- constant rates of change
- increasing/decreasing rates of change
- calculating rates of change
- comparing rates of change

## Teacher Resources

## Other Resources and Links

## Introduction to Rates of Change | Part 2

## Concepts

- displacement-time graphs versus velocity-time graphs

## Teacher Resources

## Average Rate of Change

## Concepts

- average velocity versus instantaneous velocity
- definition of average rate of change
- average rate of change as the slope of a secant line
- calculating average rates of change

## Teacher Resources

## Instantaneous Rate of Change

## Concepts

- using average rates of change to estimate instantaneous rate of change
- using secant slopes to estimate tangent slope

## Teacher Resources

## Rate of Change at Extreme Points

## Concepts

- instantaneous rate of change at local maximum and minimum points
- tangent slope at local maximum and minimum points
- using secant slopes to verify local maximum and minimum points

## Teacher Resources

## Other Resources and Links

## Unit review

## Concepts

- review of all concepts covered in the Rates of Change unit