Volumes of Solids of Revolution (part 4 of 4)

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Objective

SWBAT compute volumes of solids revolved around horizontal and vertical lines. SWBAT derive the volume formulas for spheres and cones using solids of revolution.

Big Idea

Why is a sphere’s volume 4/3 pi*r^3 ? Why is a cone’s volume 1/3 pi*r^2*h? How can we split a solid into thirds? Calculus has the answers.

Lesson Author

Jason Slowbe

Temecula, CA

Grade Level

Twelfth grade

Subjects

Math

Precalculus and Calculus

Integrals

Standards

MP1

Make sense of problems and persevere in solving them.

MP2

Reason abstractly and quantitatively.

MP3

Construct viable arguments and critique the reasoning of others.

MP4

Model with mathematics.

MP5

Use appropriate tools strategically.

MP7

Look for and make use of structure.

Video Narrative - Lesson Overview

Warm-up and Homework Review

35 minutes

Volumes of Solids of Revolution (part 4 of 4), Lesson Plan, Warm-up and Homework Review.pdf page 2

Investigation

22 minutes

Video Reflection

Volumes of Solids of Revolution (part 4 of 4), Video Reflection.mov

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

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

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

Closure + Homework

3 minutes

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