Lesson 1: 4.1 Maximum and Minimum Values
Duration of Days: 3
Lesson Objective
Students will be able to determine local and absolute extrema (maximums and minimums) of a graph using the first derivative.
1. What defines a local maximum/minimum of a function?
2. What are "critical numbers" of a function?
3. How can we use the derivative to find local max/mins?
4. Will an absolute max or min always be where the derivative equals zero?
- local maximum/minimum
- absolute maximum/minimum
- critical numbers
(Application of Derivatives)
Application of Derivatives:
DOK levels 1-4
Derivatives as rates of change, such as velocity, etc.
- students may struggle with finding absolute max/mins when it may be an endpoint of an interval
Homogeneous grouping and whole-class discussion
section assessment
Problems assigned from book