AP Calculus: Volumes by Cylindrical Shells Complete Lesson

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5.32 MB   |   45 pages

PRODUCT DESCRIPTION

This lesson covers the techniques needed to find the volume of a solid of revolution using cylindrical shells. Rotations about both the x- and y-axes are considered, as well as rotations about a line. Volumes using disks and washers are covered in a separate lesson.

This lesson is appropriate for both AP Calculus AB and BC, as well as college calculus. Note that while finding volumes using cylindrical shells is not explicitly tested on the AP exam, students can earn full credit by using the method. Also, it is something they would likely see in a college calculus course.

Detailed answer keys are included.

The topics covered include:
-Volume of a Cylindrical Shell
-Using Cylindrical Shells to Find Volume
-Rotating About the y-axis
-Rotating About the y-axis
-Rotations About a Line
-Choosing the Best Method

In this product, you will find the following:
-Powerpoint Presentation (30 slides)
-Guided Notes (4 pages, a "filled in" copy is also included)
-Do Now Slips (4 slips on one page, answers included)
-Exit Ticket Slips (4 slips on one page, answers included)
-Homework Assignment (2 pages, a detailed answer key is included)

This lesson is part of a larger unit on Areas and Volumes. The complete unit includes the following:
-Areas Between Curves
-Volumes by Disks
-Volumes by Washers
-Volumes by Cross Sections
-Volumes by Cylindrical Shells

Save money and buy all five lessons as a bundle:
-Areas and Volumes Unit Bundle
Total Pages
45
Answer Key
Included
Teaching Duration
50 Minutes

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AP Calculus: Volumes by Cylindrical Shells Complete Lesson
AP Calculus: Volumes by Cylindrical Shells Complete Lesson
AP Calculus: Volumes by Cylindrical Shells Complete Lesson
AP Calculus: Volumes by Cylindrical Shells Complete Lesson
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