This is a ten-lesson unit on Integrals 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 or exit ticket
✎ Teachers also have the benefit of a fully-editable SmartBoard® Lesson
for presentation and discussion.
You need Smart Notebook software to run the presentation.
It can be displayed through the software and a projector. If you don't have a SmartBoard, you can also use an IPAD App, such as SplashTop, to remotely write on the presentation. Interact, edit, or create online at Smart Notebook Express
Students will understand the "area under the curve" problem of calculus. They will explore left-hand sums, right-hand sums, midpoint sums, and the trapezoidal rule. These examples are presented in graphical, numerical, and tabular formats for rigor and variety.
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.
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