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* *Reflection: Real World Applications
Advanced Related Rates and the Mean Value Theorem (Part 3 of 4) - Section 4: Investigation

*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)*

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

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

Unit 5: Applications of Differentiation, Part 2

Lesson 7 of 8

Lesson 7 of 8

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

## Big Idea: How might the Mean Value Theorem be applied on the AP exam? Students will make sense of and work through a released FRQ involving the MVT.

Subject(s):

Math, Mean Value Theorem, Precalculus and Calculus, Differentiation, modeling, calculus ab, Related Rates, calculus, AP Calculus, AP Calculus AB

*60 minutes*

3

#### Setting the Stage

*3 min*

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.

*expand content*

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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

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- 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)

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