Jason Slowbe GREAT OAK HIGH, TEMECULA, CA
12th Grade Math : Unit #5 - Applications of Differentiation, Part 2 : Lesson #7

Advanced Related Rates and the Mean Value Theorem (Part 3 of 4)

Objective: SWBAT model and solve related rates problems. SWBAT solve problems involving the Mean Value Theorem.
Standards: MP1 MP6
Subject(s): Math Differentiation
60 minutes
1 Video Narrative - Lesson Overview - 0 minutes
Advanced Related Rates and the Mean Value Theorem (part 3 of 4), Video Narrative, Lesson Overview.mov
https://betterlesson.com/lesson/section/28158/advanced-related-rates-and-the-mean-value-theorem-part-3-of-4
2 Warm-up and Homework Review - 30 minutes
Lesson Plan, Advanced Related Rates and the Mean Value Theorem (part 3 of 4), Warm-up and Homework Review.pdf
resources
Lesson Plan, Advanced Related Rates and the Mean Value Theorem (part 3 of 4), Warm-up and Homework Review.docx
https://betterlesson.com/lesson/resource/2500087/lesson-plan-advanced-related-rates-and-the-mean-value-theorem-part-3-of-4-warm-up-and-homework-review-docx
3 Setting the Stage - 3 minutes

The In The Classroom (page 3) file contains the same runners problem from yesterday’s class (See Lesson Plan, (part 2 of 4), page 2).  Project this problem again, and remind students how we adapted it for understanding the Mean Value Theorem.  Keeping a small number of really good examples fresh in students’ minds can be very effective at increasing retention and understanding of key ideas (focal points) of the course.

 

resources
Lesson Plan, Advanced Related Rates and the Mean Value Theorem (part 3 of 4), Setting the Stage.docx
https://betterlesson.com/lesson/resource/2500085/lesson-plan-advanced-related-rates-and-the-mean-value-theorem-part-3-of-4-setting-the-stage-docx
4 Investigation - 25 minutes
Lesson Plan, Advanced Related Rates and the Mean Value Theorem (part 3 of 4), Investigation.pdf
Lesson Plan, Advanced Related Rates and the Mean Value Theorem (part 3 of 4), Investigation.pdf
Written Reflection - Student Work Samples
Real World Applications
Advanced Related Rates and the Mean Value Theorem (part 3 of 4), Written Reflection with Work Samples.docx
Advanced Related Rates and the Mean Value Theorem (part 3 of 4), Written Reflection with Work Samples.docx
5 Closure + Homework - 2 minutes
Lesson Plan, Advanced Related Rates and the Mean Value Theorem (part 3 of 4), Closure + Homework.pdf