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Math
12th Grade Math (Jason Slowbe)
Unit 6
Lesson 7
Objective
Video Narrative - Lesson Overview
Warm-up and Homework Review
Setting the Stage
Investigation
Closure + Homework
Links

Connections and Applications of Definite Integrals

Print Lesson

Objective

SWBAT compute definite integrals algebraically and graphically; SWBAT use definite integrals to compute the average y-value of a function on an interval.

Big Idea

Why does the Evaluation Theorem work? What is a function’s average y-value? Today we investigate applications of definite integrals.
Lesson Author
Jason Slowbe
Temecula, CA
Grade Level
Twelfth grade
Subjects
Math
definite integral
Precalculus and Calculus
Integrals
Fundamental Theorem of Calculus
Standards
MP1
Make sense of problems and persevere in solving them.
MP4
Model with mathematics.
MP5
Use appropriate tools strategically.
MP6
Attend to precision.
MP7
Look for and make use of structure.

Video Narrative - Lesson Overview

Warm-up and Homework Review

30 minutes
Lesson Plan, Connections and Applications of Definite Integrals, Warm-up and Homework Review.pdf page 1
In The Classroom, Connections and Applications of Definite Integrals.doc
Lesson Plan, Connections and Applications of Definite Integrals, Warm-up and Homework Review.docx

Setting the Stage

5 minutes
Lesson Plan, Connections and Applications of Definite Integrals, Setting the Stage.pdf page 1
RAM WS part 2 - ordering.pdf
Lesson Plan, Connections and Applications of Definite Integrals, Setting the Stage.docx

Investigation

83 minutes
Lesson Plan, Connections and Applications of Definite Integrals, Investigation.pdf page 1
Lesson Plan, Connections and Applications of Definite Integrals, Investigation.pdf page 2
Lesson Plan, Connections and Applications of Definite Integrals, Investigation.pdf page 3
MVT Intro applet.ggb
Morph Average Value 1.ggb
Morph Average Value 2.ggb
Lesson Plan, Connections and Applications of Definite Integrals, Investigation.docx

Closure + Homework

2 minutes
Lesson Plan, Connections and Applications of Definite Integrals, Closure + Homework.pdf page 1
Lesson Plan, Connections and Applications of Definite Integrals, Closure + Homework.docx

Links

Google Docs link for students to submit homework answers

 

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Lesson Author
Jason Slowbe
Temecula, CA
Grade Level
Twelfth grade
Subjects
Math
definite integral
Precalculus and Calculus
Integrals
Fundamental Theorem of Calculus
Time
120 Minutes
Standards
MP1MP4MP5MP6MP7