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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
4
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
Rectangular Approximation Methods
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2 teachers like this lesson
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Objective
SWBAT estimate areas under functions using LRAM, RRAM and MRAM.
Big Idea
Computing area under linear functions is easy. But what about curvy functions? Summing an infinite number of rectangles offers a solution.
Lesson Author
Jason Slowbe
Temecula, CA
Grade Level
Twelfth grade
Subjects
Math
rectangle approximations
Precalculus and Calculus
Integrals
Riemann Sum
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.
MP6
Attend to precision.
Video Narrative - Lesson Overview
Warm-up and Homework Review
25 minutes
Setting the Stage
5 minutes
Investigation
28 minutes
Closure + Homework
2 minutes
Links
Stewart Calculus
, Tools for Enriching Calculus applets
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2 teachers like this Lesson
Lesson Author
Jason Slowbe
Temecula, CA
Grade Level
Twelfth grade
Subjects
Math
rectangle approximations
Precalculus and Calculus
Integrals
Riemann Sum
Time
60 Minutes
Standards
MP1
MP2
MP3
MP6
License
Licensed under Creative Commons (
CC BY-NC 4.0
)