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.

Video Narrative - Lesson Overview

Warm-up and Homework Review

40 minutes
Lesson Plan, Volumes of Solids of Revolution (part 1 of 4), Warm-up and Homework Review.pdf page 1

Setting the Stage

15 minutes
Lesson Plan, Volumes of Solids of Revolution (part 1 of 4), Setting the Stage.pdf page 1

Investigation

62 minutes
Lesson Plan, Volumes of Solids of Revolution (part 1 of 4), Investigation.pdf page 1
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
Lesson Plan, Volumes of Solids of Revolution (part 1 of 4), Closure + Homework.pdf page 1

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