## Section 8.1 - Accumulation and Net Change

**Essential Question(s):**

How can integrals be applied?

**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__.

__Thinking map__

__Linear Motion Revisited__

- How do you determine movement using a velocity function? (Ex 1 pg 385)
- What is the difference between displacement and total distance? (Ex 2 & Ex 3 pg 386-387; small section after Ex 3)

__General Strategy__

- What is the general strategy for modeling with integrals? (pg 387)
- How do you use acceleration to determine how fast and far an object traveled? (Ex 4 pg 388)

__Consumption over Time__

- What is accumulation used for? (section above Ex 5 pg 389)
- How can you determine the amount of potato consumption? (Ex 5 pg 389)

__Coming and Going__

- How do you use integrals when there are two simultaneous (flow in and flow out) functions? (Ex 6 pg 389)

__Net Change from Data__

- How do you determine a total amount using a table? (Ex 7 pg 390)

__Density__

- How are integrals used with density? (Ex 8 pg 391)

__Work__

- What is work and Hooke's Law? (bottom of page 391)
- How are integrals used when calculating work? (Ex 9 pg 392)

**STEP 3: Reading**

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

- Read pages 385 - 392.
- Make sure to read the paragraphs between the examples and sidebar snippets.