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.

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

Setting the Stage

5 minutes
Lesson Plan, Connections and Applications of Definite Integrals, Setting the Stage.pdf page 1

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

Closure + Homework

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

Links

Google Docs link for students to submit homework answers