Section 5.4 - Fundamental Theorem of Calculus

Essential Question(s): 

​How can the Fundamental Theorem of Calculus be utilized?

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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 
Copy and define the following of vocabulary. This can be any tables, properties, theorems, terms, phrases or postulates listed. Review the following examples and copy what is necessary for you. Use the guiding questions for your Cornell notes.
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Fundamental Theorem, Antiderivative Part

1. What are the two outcomes of the Fundamental Theorem of Calculus? (paragraph above Theorem)
2. What is the antiderivative part of the Fundamental Theorem of Calculus?
3. What does the antiderivative part equation of the Fundamental Theorem of Calculus tell us? (text below the simple equation)

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Graphing the Accumulator Function

1. Read through this section and take notes as needed. 

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​Fundamental Theorem, Evaluation Part

1. What is the evaluation part of the Fundamental Theorem of Calculus? 
2. What does the evaluation part equation of the Fundamental Theorem of Calculus tell us? (text below the simple equation)
3. What is the notation used to evaluate integrals? (sidebar)

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Area Connection

1. How do we interpret the word "area"? (paragraph above)
2. How do you find total area analytically? 
3. How is the absolute value function used with area? 
4. How do you find total area numerically? 
5. How do you find total area using NINT? 

Analyzing Antiderivatives Graphically

1. How are calculus concepts put together?

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STEP 3: Reading
If time permits, then reread the lesson and take any extra notes as needed.