Reviewing Volumes of Solids and Differential Equations (part 1 of 3)

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Objective

SWBAT solve separable differential equations algebraically and compute volumes of solids of revolution and cross-sectional solids as on AP free response questions.

Big Idea

What is the AP test like? Today we continue introducing students to released AP FRQs on volumes of solids and differential equations.

Lesson Overview

Warm-up and Homework Review

30 minutes
Reviewing Volumes of Solids and Differential Equations (part 1 of 3), Lesson Plan, Warm-up and Homework Review.pdf page 1

Setting the Stage

10 minutes

As needed, revisit any work with differential equations that may be outstanding from yesterday’s lesson.  This might include the free response question from 2008 #5, or extra practice solving differential equations if students had a lot of questions on the differential equations problems from last night’s homework.  We will continue reviewing differential equations over the next few days before students’ test, so another option is to postpone this extra practice if you are running short on time or want to spend more time in the Investigation section of today’s lesson.  

Investigation

19 minutes
Reviewing Volumes of Solids and Differential Equations (part 1 of 3), Lesson Plan, Investigation.pdf page 1

Closure + Homework

1 minutes
Reviewing Volumes of Solids and Differential Equations (part 1 of 3), Lesson Plan, Closure + Homework.pdf page 1