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
Parent Resources
Other Resources and Links
Introduction to Rates of Change | Part 2
Concepts
- displacement-time graphs versus velocity-time graphs
Parent 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
Parent Resources
Instantaneous Rate of Change
Concepts
- using average rates of change to estimate instantaneous rate of change
- using secant slopes to estimate tangent slope
Parent 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
Parent Resources
Other Resources and Links
Unit review
Concepts
- review of all concepts covered in the Rates of Change unit