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* *Reflection: Real World Applications
Advanced Related Rates and the Mean Value Theorem (Part 1 of 4) - Section 4: Investigation

*Advanced Related Rates (part 1 of 4), Written Reflection with Work Samples.docx*

*Advanced Related Rates and the Mean Value Theorem (Part 1 of 4)*

Advanced Related Rates and the Mean Value Theorem (Part 1 of 4)

# Advanced Related Rates and the Mean Value Theorem (Part 1 of 4)

Unit 5: Applications of Differentiation, Part 2

Lesson 5 of 8

Lesson 5 of 8

## Objective: SWBAT model and solve related rates problems with variable angles and involving non-right triangles.

## Big Idea: What about related rates involving angles? Although the math involves trig, students realize that the calculus process remains the same.

Subject(s):

Math, Differentiation, modeling, law of sines, Precalculus and Calculus, Trigonometry, Law of Cosines, calculus ab, geogebra, Related Rates, calculus, AP Calculus, AP Calculus AB

*60 minutes*

6

Illuminations - Proving the Law of Sines activity sheet

illuminations.nctm.org/Lesson.aspx?id=2433

Illuminations - Proving the Law of Cosines activity sheet

*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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