Volumes of Cross-Sectional Solids (part 1 of 4)

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Objective

SWBAT write variable expressions for areas of basic geometric shapes. SWBAT compute volumes of cross-sectional solids.

Big Idea

No matter how you slice it, computing volumes of cross-sectional solids is a blast! Today we introduce another application of integration.

Lesson Author

Jason Slowbe

Temecula, CA

Grade Level

Twelfth grade

Subjects

Math

Integrals

Precalculus and Calculus

Standards

MP1

Make sense of problems and persevere in solving them.

MP4

Model with mathematics.

MP6

Attend to precision.

MP8

Look for and express regularity in repeated reasoning.

Video Narrative - Lesson Overview

Warm-up and Homework Review

30 minutes

Setting the Stage

15 minutes

Volumes of Cross-Sectional Solids (part 1 of 4), Lesson Plan, Setting the Stage.pdf page 2

Investigation

73 minutes

Closure + Homework

2 minutes

Links

Here are several excellent applets for visualizing cross-sectional solids. We use the Stewart Calculus TEC applet today in class, and the others in tomorrow's lesson.

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

http://web.monroecc.edu/manila/webfiles/pseeburger/secure/MyLarson/ch7/LC7_2xsection2.htm

http://web.monroecc.edu/manila/webfiles/pseeburger/secure/MyLarson/ch7/LC7_2xsection1.htm

http://web.monroecc.edu/manila/webfiles/calcNSF/JavaCode/other/myXSection.htm

AP As We Go - tonight's homework, submit answers online

https://docs.google.com/spreadsheet/ccc?key=0AlOW3b0XTlhSdE1nS2JqTWVXN285NGdxcERZTkFGTGc&usp=sharing#gid=0

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