Lesson 8: 3.9 Related Rates
Duration of Days: 4
Lesson Objective
Students will be able to set up equations to find one rate that is related to another given rate through real-life examples.
1. How can we find a rate of change from an equation that only has linear variables?
2. What previous formulas from Geometry will we need to recall?
3. What does it mean for rates to be "related"?
- related rates
(Differentiation Rules and Applications)
Application of Differentiation Rules to real-life examples with Related Rates:
DOK levels 2-4
- rate of change of a person's shadow while the person is walking
- rate of change of surface area of a melting snowball
- rate of change of depth of water in a conical reservoir that is leaking at a constant rate
- students often struggle with the initial setup of the equation that reflects the example
Homogeneous grouping and whole-class discussion
section assessment
Problems assigned from book