## Lesson Plan, Advanced Related Rates and the Mean Value Theorem (part 4 of 4), Investigation.docx - Section 3: Investigation

*Lesson Plan, Advanced Related Rates and the Mean Value Theorem (part 4 of 4), Investigation.docx*

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

Lesson 8 of 8

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

## Big Idea: Today we select related rates and Mean Value Theorem problems to promote deep understanding and retention of these important concepts.

*60 minutes*

#### Investigation

*27 min*

Today’s lesson is the last in this series on related rates and the Mean Value Theorem. Based on your observations of students’ work, continue reviewing related rates and Mean Value Theorem problems that students most need to practice. You might select problems from AP review books, supplemental textbook resources, or other online sources. The Redbook Notes online text from the University of Toronto has an extensive selection of related rates problems that you might use.

In culminating lessons like these, I like to feature students’ work samples under the document camera for all students to analyze. So as students are working in class, **monitor students’ work for work samples that can serve as influential learning opportunities for the whole class.**

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Introducing Related Rates - previous lesson

http://www.cc.betterlesson.com/my/lesson/531350/introducing-related-rates

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- UNIT 1: Back to School
- UNIT 2: Limits and Derivatives
- UNIT 3: Formalizing Derivatives and Techniques for Differentiation
- UNIT 4: Applications of Differentiation, Part 1
- UNIT 5: Applications of Differentiation, Part 2
- UNIT 6: The Integral
- UNIT 7: Applications of Integration
- UNIT 8: Differential Equations
- UNIT 9: Full Course Review via Motion
- UNIT 10: The Final Stretch - Preparing for the AP Exam

- LESSON 1: Introducing Related Rates
- LESSON 2: Related Rates with Right Triangles (Part 1 of 3)
- LESSON 3: Related Rates with Right Triangles (Part 2 of 3)
- LESSON 4: Related Rates with Right Triangles (Part 3 of 3)
- LESSON 5: Advanced Related Rates and the Mean Value Theorem (Part 1 of 4)
- LESSON 6: Advanced Related Rates and the Mean Value Theorem (Part 2 of 4)
- LESSON 7: Advanced Related Rates and the Mean Value Theorem (Part 3 of 4)
- LESSON 8: Advanced Related Rates and the Mean Value Theorem (Part 4 of 4)