## Volumes of Cross-Sectional Solids (part 1 of 4), Video Narrative, Lesson Overview.mov - Section 1: Video Narrative - Lesson Overview

*Volumes of Cross-Sectional Solids (part 1 of 4), Video Narrative, Lesson Overview.mov*

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

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

Unit 7: Applications of Integration

Lesson 9 of 14

Lesson 9 of 14

## 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.

Subject(s):

Math, Integrals, Precalculus and Calculus, AP Calculus AB, solids, volumes of solids, calculus, AP Calculus, calculus ab

*120 minutes*

6

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

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- UNIT 1: Back to School
- UNIT 2: Limits and Derivatives
- UNIT 3: Formalizing Derivatives and Techniques for Differentiation
- UNIT 4: Applications of Differentiation, Part 1
- UNIT 5: Applications of Differentiation, Part 2
- UNIT 6: The Integral
- UNIT 7: Applications of Integration
- UNIT 8: Differential Equations
- UNIT 9: Full Course Review via Motion
- UNIT 10: The Final Stretch - Preparing for the AP Exam

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- LESSON 1: Easy as ABC - Areas Between Curves
- LESSON 2: Areas Between Curves - dx or dy?
- LESSON 3: Variable Limits of Integration and the Fundamental Theorem of Calculus
- LESSON 4: Catch-up Day - ABC and FTC
- LESSON 5: Volumes of Solids of Revolution (part 1 of 4)
- LESSON 6: Volumes of Solids of Revolution (part 2 of 4)
- LESSON 7: Volumes of Solids of Revolution (part 3 of 4)
- LESSON 8: Volumes of Solids of Revolution (part 4 of 4)
- LESSON 9: Volumes of Cross-Sectional Solids (part 1 of 4)
- LESSON 10: Volumes of Cross-Sectional Solids (part 2 of 4)
- LESSON 11: Volumes of Cross-Sectional Solids (part 3 of 4)
- LESSON 12: Volumes of Cross-Sectional Solids (part 4 of 4)
- LESSON 13: Applications and Problem Solving with Volumes of Solids (part 1 of 2)
- LESSON 14: Applications and Problem Solving with Volumes of Solids (part 2 of 2)

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