## Section 5.5 - Trapezoidal Rule

**Essential Question(s):**

What is the purpose of the trapezoidal rule?

**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__.

__Trapezoidal Approximations__

- What is the trapezoidal rule?
- When can trapezoidal rule be used? (sidebar)
- How can you predict if a trapezoidal approximation is an over- or under-estimate?

__Other Algorithms - OPTIONAL__

- Why is Simpson's Rule an efficient rule for approximating integrals numerically? (paragraph(s) and page before rule)
- What is Simpson's Rule?
- What is some history about Simpson's Rule? (skim exploration 1 and read sidebars)
- Is Simpson's Rule the only efficient tool for approximating integrals numerically? (paragraph after example)

__Error Analysis - OPTIONAL__

- Read this section on error bounds and accuracy. Take notes as needed.

**STEP 3: Reading**

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

- Read pages 314 - 319.
- Make sure to read the paragraphs between the examples and sidebar snippets.