Section 5.5 - Trapezoidal Rule

Essential Question(s): 

​​What is the purpose of the trapezoidal rule?

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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).
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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.
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Trapezoidal Approximations

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

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Other Algorithms - OPTIONAL

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

​Error Analysis - OPTIONAL

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

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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.