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# Calculus: Rates of Change and Introduction to Derivatives

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4 MB|12 + Keys
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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 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:
• 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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Total Pages
12 + Keys
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Teaching Duration
50 minutes
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