## Moving Man AS.docx - Section 4: Investigation

Motion - With Multiple Derivatives

# Motion - With Multiple Derivatives

Unit 9: Full Course Review via Motion

Lesson 8 of 17

Lesson 8 of 17

## Objective: SWBAT model linear motion using multiple derivatives and the Fundamental Theorem of Calculus.

## Big Idea: Let’s Move! With two different applets, students use precise math language to describe and answer questions in context about linear motion.

Subject(s):

Math, modeling, motion along a line, Precalculus and Calculus, models / tables / graphs (rates of change), models / tables / graphs (mathematical relationships), calculus ab, 12th Grade, geogebra, calculus, AP Calculus, AP Calculus AB

*120 minutes*

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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: Limits and l'Hospital
- LESSON 2: Know Your Limits
- LESSON 3: Local Linearization, 1st and 2nd Derivative Tests, and Computing Derivatives
- LESSON 4: Derivatives Algebraically and Graphically
- LESSON 5: The Calculus of Motion
- LESSON 6: Motion - Velocity on Intervals
- LESSON 7: Motion - Distance vs Displacement
- LESSON 8: Motion - With Multiple Derivatives
- LESSON 9: Motion and Optimization
- LESSON 10: Calculus and My Car's Dashboard
- LESSON 11: Rockin' Related Rates
- LESSON 12: Meet My Friend Riemann
- LESSON 13: Cookies and Pi
- LESSON 14: Accumulate This!
- LESSON 15: Wait, the Interval Width Varies?
- LESSON 16: Integrating Areas to Get Volumes
- LESSON 17: More Areas and Volumes

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