## Section 5.4 - Fundamental Theorem of Calculus

**Essential Question(s):**

How can the Fundamental Theorem of Calculus be utilized?

**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**

__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.

__Fundamental Theorem, Antiderivative Part__

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

__Graphing the Accumulator Function__

- Read through this section and take notes as needed.

__Fundamental Theorem, Evaluation Part__

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

__Area Connection__

- How do we interpret the word "area"? (paragraph above)
- How do you find total area analytically?
- How is the absolute value function used with area?
- How do you find total area numerically?
- How do you find total area using NINT?

__Analyzing Antiderivatives Graphically__

- How are calculus concepts put together?

**STEP 3: Reading**

__If time permits,__then

__reread__the lesson and take any extra notes as needed.