Connections and Applications of Definite Integrals

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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

Setting the Stage

5 minutes

Investigation

83 minutes

Lesson Plan, Connections and Applications of Definite Integrals, Investigation.pdf page 2

Lesson Plan, Connections and Applications of Definite Integrals, Investigation.pdf page 3

Closure + Homework

2 minutes

Links

Google Docs link for students to submit homework answers

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