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Math
12th Grade Math (Jason Slowbe)
Unit
6
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
1
LESSON 1: Introducing the Integral
LESSON 2: u-Substitution (Part 1 of 2)
LESSON 3: u-Substitution (Part 2 of 2)
LESSON 4: Rectangular Approximation Methods
LESSON 5: RAM and the Definite Integral
LESSON 6: In-Depth with Definite Integrals
LESSON 7: Connections and Applications of Definite Integrals
LESSON 8: Approximating Definite Integrals from Tables
LESSON 9: Integration Review for Semester Exam
Objective
Video Narrative - Lesson Overview
Warm-up and Homework Review
Setting the Stage
Investigation
Closure + Homework
Links
Introducing the Integral
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2 teachers like this lesson
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Objective
SWBAT integrate polynomial, power, and basic trig functions using the power and chain rules.
Big Idea
What is an integral? How are integrals related to derivatives? Today we begin connecting these seemingly unrelated ideas in Calculus.
Lesson Author
Jason Slowbe
Temecula, CA
Grade Level
Twelfth grade
Subjects
Math
Integrals
Precalculus and Calculus
antiderivatives
Standards
MP1
Make sense of problems and persevere in solving them.
MP4
Model with mathematics.
MP6
Attend to precision.
MP8
Look for and express regularity in repeated reasoning.
Video Narrative - Lesson Overview
Warm-up and Homework Review
30 minutes
Setting the Stage
3 minutes
Investigation
26 minutes
Video Reflection
Introducing the Integral, Video Reflection, Investigation.mov
Closure + Homework
1 minutes
Links
Goofy music video
"Where is the ocean?"
, recorded by my students a few years ago...
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2 teachers like this Lesson
Lesson Author
Jason Slowbe
Temecula, CA
Grade Level
Twelfth grade
Subjects
Math
Integrals
Precalculus and Calculus
antiderivatives
Time
60 Minutes
Standards
MP1
MP4
MP6
MP8
License
Licensed under Creative Commons (
CC BY-NC 4.0
)