# Calculus Accumulation Functions

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Calculus, AP Calculus AB, AP Calculus BC, College Calculus, Calculus Honors, Accumulation Functions

This is the eighth 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 FTC to analyze functions, find displacement, total distance, and more.
* Find initial values and sketch the functions using those conditions.

College Board® Learning Objectives:
LO 3.4A1: A function defined as an integral represents an accumulation of a rate of change.
LO.3.4A2: The definite integral of the rate of change of a quantity over an interval gives the net change of that quantity over that interval.

Students will use The Fundamental Theorem of Calculus to gain an understanding of net change and how the accumulation of area under a curve provides information about total amounts and initial conditions. Students will find initial values and sketch the functions using those conditions.

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
25 pages
Included
Teaching Duration
45 minutes
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\$6.00