Objective

Video Narrative - Lesson Overview

Warm-up and Homework Review

Setting the Stage

Investigation

Closure + Homework

Links

Volumes of Solids of Revolution (part 1 of 4)

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Objective

SWBAT compute volumes of solids revolved around horizontal and vertical lines.

Big Idea

What happens when you integrate an Area formula? You get a Volume formula! Today we delve into 3-dimensional calculus.

Lesson Author

Jason Slowbe

Temecula, CA

Grade Level

Twelfth grade

Subjects

Math

volume (3-D Geom)

Precalculus and Calculus

Integrals

Standards

MP1

Make sense of problems and persevere in solving them.

MP4

Model with mathematics.

MP7

Look for and make use of structure.

Video Narrative - Lesson Overview

Warm-up and Homework Review

40 minutes

Setting the Stage

15 minutes

Investigation

62 minutes

Lesson Plan, Volumes of Solids of Revolution (part 1 of 4), Investigation.pdf page 2

Lesson Plan, Volumes of Solids of Revolution (part 1 of 4), Investigation.pdf page 3

Closure + Homework

3 minutes

Links

Lesson Image Source:

Stewart Calculus textbook website, Tools for Enriching Calculus

http://www.stewartcalculus.com/tec/

YouTube video introducing disk and washer methods

http://www.youtube.com/watch?v=-CPUdbjpnno

YouTube video on washer method, with cross-section

http://www.youtube.com/watch?v=3oAjcLD34kc

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