# Calculus The Fundamental Theorem of Calculus

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Calculus, AP Calculus AB, AP Calculus BC, College Calculus, Calculus Honors, The Fundamental Theorem of Calculus

This is the fifth lesson in a ten-lesson unit on Integration for students enrolled in AP Calculus AB or BC, Calculus Honors, or College Calculus.

Every lesson includes:
✎ A set of Guided Student Notes
✎ A daily homework assignment
✎ Four forms of a daily homework quiz, warm up, or exit ticket
✎ Teachers also have the benefit of a fully-editable SMART Board® Lesson for presentation and discussion.

The SMART Board lesson can be used in many ways.
Teachers can display the presentation using the following:
* SMART Board
* Wireless Slate
* SMART Notebook for iPAD® App
* Through the SMART Notebook Express®

Lesson Objective:
*Use the Fundamental Theorem of Calculus to evaluate definite integrals.
College Board® Learning Objectives:
LO 3.2C: Calculate a definite integral using areas and properties of definite integrals.
LO.3.3A: Analyze functions defined by an integral.
LO 3.3B(a): Calculate antiderivatives
LO 3.3B(B): Evaluate definite integrals.
LO 3.4A: Interpret the meaning of a definite integral within a problem

Students will evaluate a definite integral using the Fundamental Theorem of Calculus, including transcendental functions. Students will use the Fundamental Theorem of Calculus Part 2 to evaluate functions.

The unit includes:
1) Area Under A Curve
2) Properties of Definite Integral
3) Antiderivatives & Indefinite Integration
4) Sigma Notation and Writing Area as a Limit
5) The Fundamental Theorem of Calculus
6) Mean Value Theorem for Integrals
7) Integration By Substitution
8) The Accumulation Functions
9) Integration of Transcendental Functions
10) Another Look at Particle Motion

You may also be interested in the Integration Review & Assessment Bundle.

DO YOU NEED THE FULL UNIT BUNDLE?

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Total Pages
40 pages
Included
Teaching Duration
45 minutes
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\$6.00