# AP Calculus: Areas and Distances Complete Lesson

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3 MB|41 pages
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This lesson is meant to provide some motivation for the study of integrals. Students are introduced to the idea of displacement as the area under the velocity versus time curve. Students examine several examples involving cars traveling along a straight line.

This lesson is appropriate for both AP Calculus AB and BC.

The topics covered include:
-Distance at Constant Speed
-Distance at Varying Speed
-Minimum and Maximum Possible Distances
-Improving the Estimate
-Comparing Ranges
-Distance Traveled as an Area Under a Curve
-Understanding Distance Traveled as Area
-Negative Velocity

In this product, you will find the following:
-Powerpoint Presentation (26 slides)
-Guided Notes (4 pages, a "filled in" copy is also included)
-Do Now Slips (4 slips on one page, answers included)
-Exit Ticket Slips (4 slips on one page, answers included)
-Homework Assignment (2 pages, a detailed answer key is included)

This lesson is part of a larger unit on Integrals. The complete unit includes the following:
-Areas and Distances
-Left, Right, and Midpoint Sums (coming soon!)
-Riemann Sums (coming soon!)
-The Definite Integral (coming soon!)
-The Fundamental Theorem of Calculus (coming soon!)
-The Substitution Rule (coming soon!)
-The Trapezoidal Rule (coming soon!)
-Applications of Integrals (coming soon!)
Total Pages
41 pages
Included
Teaching Duration
50 minutes
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\$6.50