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Calculus: Rates of Change and Introduction to Derivatives

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10 MB|12 pages
Product Description
This is the first lesson in a thirteen-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. You can also use Smart Notebook Express.

Lesson Objective:
• Estimate average and instantaneous rates of change graphically and numerically
• Interpret distance vs. time graphs
• Explore the concept of local linearity using graphing calculators
• Interpret the meaning of derivative as it relates to real-world scenarios

The unit includes:
1) Rates of Change and Introduction to Derivatives
2) Tangent Lines and Local Linearity
3) Investigating Slope Graphs
4) The Derivative and Tangent Line
5) Differentiability and Continuity
6) Basic Differentiation Rules
7) Product & Quotient Rules
8) The Chain Rule
9) Symbolic Differentiation With Tables and Graphs
10) Derivatives of Inverse Functions
11) Derivatives of Bases Other Than e
12) Equations of Tangent Lines and Linear Approximations
13) Implicit Differentiation

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Created by Jean Adams , © 2016 Flamingo Math™ , LLC
Total Pages
12
Answer Key
Included
Teaching Duration
50 minutes
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