# Calculus: Area and Arc Length in Polar Coordinates

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1. This is the bundled unit for UNIT 8: PARAMETRICS, POLARS AND VECTORS for AP Calculus BC topics.Each lesson provides:✎ A set of Guided Notes which is a full-sheet skeleton format of the lesson, ✎ Teachers have a fully-editable SMART Board® presentation that matches set of Guided Notes.The bundle incl
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Product Description
This is the fourth lesson in an eight-lesson unit on Parametrics, Polars, and Vectors for students enrolled in AP Calculus BC or Calculus 2.

Every lesson includes
✎ A set of Guided Student Notes
✎ A daily homework assignment
✎ Two 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.

Lesson Objective:
★ Find the area of a region bounded by a polar graph
★ Find the points of intersection of two polar graphs
★ Find the arc length of a polar graph

College Board® Learning Objectives:
★ LO3.3B (a) Calculate antiderivatives
★ LO 3.3B (b) Evaluate definite integrals
★ LO 3.4D: Apply definite integrals to problems involving the length of a curve.
★ EK3.4D1: Areas bounded by polar curves can be calculated with definite integrals.
★ EK 3.4D3 (BC): The length of a planar curve defined by a function or by a parametrically defined curve can be calculated using a definite integral.

The unit includes the following topics:
1. Parametric Equations and Plane Curves
2. Parametric Equations and Calculus
3. Polar Coordinates and Graphs
4. Area and Arc Length in Polar Coordinates
5. Vectors in the Plane
6. The Dot Product of Two Vectors
7. Vector-Valued Functions
8. Velocity and Acceleration of Vector Functions

The SMART Board lesson can be used in many ways.
Teachers can display the presentation using the following:
* SMART Board®
* Airliner Wireless Slate
* SMART Notebook for IPAD App
* Through the SMART Notebook Express ®
* Other APPS available for Tablets

If you have any questions or comments

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Total Pages
9 pages
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Teaching Duration
50 minutes
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