Jason
Slowbe
GREAT OAK HIGH,
TEMECULA,
CA

12th Grade Math :
Unit #5 - Applications of Differentiation, Part 2 :
Lesson #7

Objective:
SWBAT model and solve related rates problems. SWBAT solve problems involving the Mean Value Theorem.

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

resources

In The Classroom, Advanced Related Rates and the Mean Value Theorem (part 3 of 4).doc

https://betterlesson.com/lesson/resource/2500079/in-the-classroom-advanced-related-rates-and-the-mean-value-theorem-part-3-of-4-doc
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

resources

Redbook - Related Rates.pdf

https://betterlesson.com/lesson/resource/2577576/redbook-related-rates-pdf
Lesson Plan, Advanced Related Rates and the Mean Value Theorem (part 3 of 4), Investigation.docx

https://betterlesson.com/lesson/resource/2500082/lesson-plan-advanced-related-rates-and-the-mean-value-theorem-part-3-of-4-investigation-docx
Written Reflection - Student Work Samples

Real World Applications

5 Closure + Homework -
2 minutes

resources

Related Rates Practice – Redbook.doc

https://betterlesson.com/lesson/resource/2500090/related-rates-practice-redbook-doc
Multiple Derivatives - Only f' v7 - GeoGebra Applet – Questions.doc

https://betterlesson.com/lesson/resource/2500089/multiple-derivatives-only-f-v7-geogebra-applet-questions-doc
Lesson Plan, Advanced Related Rates and the Mean Value Theorem (part 3 of 4), Closure + Homework.docx

https://betterlesson.com/lesson/resource/2500080/lesson-plan-advanced-related-rates-and-the-mean-value-theorem-part-3-of-4-closure-homework-docx