Lesson Objective

Students will be able to determine the average value of a function over a specified interval.

- What does "average value of the function" mean?
- If we create a rectangle over the same interval that has an equal area to that under the function, what will be the height of that rectangle?

- average function value
- Mean Value Theorem for integrals

(determine the average value of a function)

- Find the average value (height) of a function over a specified interval
- DOK Levels 1-4

- average speed of a vehicle over a journey with variable speed
- determine average power (AC voltage, for example) over a specified time interval
- average force applied to an object over a distance
- estimating average pollution levels to determine economic impact

This is one of the easiest sections in the book and students do not often struggle with it. The only struggles occur if a student is still not comfortable with solving integrals.

Homogeneous grouping and whole class discussion

section assessment

problems assigned from book