This is a nine-lesson unit on Differentiation 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
* Solve rectilinear motion problems involving position, speed, velocity, and acceleration
Students will explore concepts from physics with position, velocity, and acceleration. The lesson is a detailed look at answering practical problems related to first and second derivatives. Students will use derivatives to find rates of change in real-world applications and the effect of a one-unit change (marginal cost, etc.)
The unit includes:
1) Related Rates (with an introductory lesson and extra practice)
2) Position Velocity and Acceleration
3) Extreme Value Theorem
4) Mean Value Theorem
5) First Derivative Test and Increasing Functions
6) Second Derivative Test and Concavity
7) Curve Sketching and Function Analysis
8) L'Hopital's Rule
You may also be interested in the Applications of Differentiation Review & Assessment Bundle
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Created by Jean Adams , © 2016 Flamingo Math™, LLC