## Section 8.2 - Areas in the Plane

**Essential Question(s):**

What are some strategies to calculating areas in the coordinate plane?

**Follow**__these three steps__to complete this "flip" lesson.**STEP 1: Preparation**

__Title__your spiral with the heading above and

__copy__the essential question(s).

**STEP 2: Vocabulary & Examples**

__Answer__the follow questions. They address examples, vocabulary, rules, theorems, corollaries, procedures, and/or postulates. Following a

__Cornell notes format__, the questions should be written in the left-hand column and with the answers to the right of the question. Make sure to

__write enough to answer the question__.

__Area Between Curves__

- What is the area between curves? (pg 397)
- How do you find the area between curves? (Ex 1 pg 398)

__Area Enclosed by Intersecting Curves__

- How do you determine the limits of integration for an area enclosed by intersecting curves? (above Ex 2 pg 398)
- How do you find the area of an enclosed region? (Ex 2 pg 398-399)
- When do you need to store values to find the area of an enclosed region? (Ex 3 pg 399 & sidebar)

__Boundaries with Changing Functions__

- How do you find the area of an enclosed region where functions change? (above Ex 4 pg 399)
- How do you find the area using subregions? (Ex 4 pg 399)

__Integrating with Respect to y__

- What does it mean to integrate with respect to y instead of x? (above Ex 5 pg 400)
- How do you integrate with respect to y? (Ex 5 pg 400)
- How do you know whether to integrate with respect to x or y? (Ex 6 p 401)

__Saving Time with Geometry Formulas__

- How can geometric formulas be utilized? (Ex 7 pg 401)

**STEP 3: Reading**

__Read__the following page(s) and take any extra notes as needed.

- Read pages 397 -401.
- Make sure to read the paragraphs between the examples and sidebar snippets.