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Math
12th Grade Math (Jason Slowbe)
Unit
4
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
3
LESSON 1: Implicit Differentiation (Part 1 of 2)
LESSON 2: Implicit Differentiation (Part 2 of 2)
LESSON 3: Optimize This! (Part 1 of 3)
LESSON 4: Optimize This! (part 2 of 3)
LESSON 5: Optimize This! (part 3 of 3)
Objective
Video Narrative - Lesson Overview
Warm-up and Homework Review
Setting the Stage
Investigation
Closure + Homework
Optimize This! (Part 1 of 3)
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Objective
SWBAT use derivatives to model and solve basic optimization problems.
Big Idea
Why all this work with finding extrema? Today students apply derivatives to modeling and solving optimization problems.
Lesson Author
Jason Slowbe
Temecula, CA
Grade Level
Twelfth grade
Subjects
Math
optimization problems
Precalculus and Calculus
modeling
Standards
MP1
Make sense of problems and persevere in solving them.
MP2
Reason abstractly and quantitatively.
MP3
Construct viable arguments and critique the reasoning of others.
MP4
Model with mathematics.
MP5
Use appropriate tools strategically.
MP7
Look for and make use of structure.
MP8
Look for and express regularity in repeated reasoning.
Video Narrative - Lesson Overview
Warm-up and Homework Review
20 minutes
Setting the Stage
15 minutes
Investigation
80 minutes
Closure + Homework
5 minutes
Written Reflection - Student Work Samples
Optimize This (part 1 of 3), Written Reflection with work samples.docx
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1 teachers like this Lesson
Lesson Author
Jason Slowbe
Temecula, CA
Grade Level
Twelfth grade
Subjects
Math
optimization problems
Precalculus and Calculus
modeling
Time
120 Minutes
Standards
MP1
MP2
MP3
MP4
MP5
MP7
MP8
License
Licensed under Creative Commons (
CC BY-NC 4.0
)