Objective

Video Narrative - Lesson Overview

Warm-up and Homework Review

Setting the Stage

Investigation

Closure + Homework

Advanced Related Rates and the Mean Value Theorem (Part 2 of 4)

Objective

SWBAT model and solve related rates problems with variable angles and involving non-right triangles. SWBAT apply differentiation to find values satisfying the Mean Value Theorem.

Big Idea

The Mean Value Theorem is one of the most important in all of calculus. Today we begin to make its importance obvious to students.

Lesson Author

Jason Slowbe

Temecula, CA

Grade Level

Twelfth grade

Subjects

Math

Differentiation

modeling

Mean Value Theorem

Precalculus and Calculus

Graphical Interpretation

graphical analysis

Standards

MP1

Make sense of problems and persevere in solving them.

MP2

Reason abstractly and quantitatively.

MP3

Construct viable arguments and critique the reasoning of others.

MP4

Model with mathematics.

MP6

Attend to precision.

MP7

Look for and make use of structure.

MP8

Look for and express regularity in repeated reasoning.

Video Narrative - Lesson Overview

Warm-up and Homework Review

40 minutes

Lesson Plan, Advanced Related Rates and Mean Value Theorem (part 2 of 4), Warm-up and Homework Review.pdf page 2

Setting the Stage

30 minutes

Investigation

46 minutes

Lesson Plan, Advanced Related Rates and Mean Value Theorem (part 2 of 4), Investigation.pdf page 2

Closure + Homework

4 minutes

Previous Lesson

Next Lesson