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Math
12th Grade Math (Jason Slowbe)
Unit
9
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
11
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
Objective
Video Narrative - Lesson Overview
Warm-Up + Homework Review
Setting the Stage
Investigation
Closure + Homework
Rockin' Related Rates
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Objective
Students will be able to use multiple representations to model and solve related rate problems.
Big Idea
Related Rates problems come alive for students through modeling and dynamic applets.
Lesson Author
Jason Slowbe
Temecula, CA
Grade Level
Twelfth grade
Subjects
Math
modeling
Precalculus and Calculus
Standards
MP2
Reason abstractly and quantitatively.
MP4
Model with mathematics.
MP5
Use appropriate tools strategically.
MP7
Look for and make use of structure.
Video Narrative - Lesson Overview
Warm-Up + Homework Review
35 minutes
Setting the Stage
20 minutes
Investigation
60 minutes
Closure + Homework
5 minutes
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Lesson Author
Jason Slowbe
Temecula, CA
Grade Level
Twelfth grade
Subjects
Math
modeling
Precalculus and Calculus
Time
120 Minutes
Standards
MP2
MP4
MP5
MP7
License
Licensed under Creative Commons (
CC BY-NC 4.0
)