This is the third 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.
★ Use the polar coordinate system to convert rectangular coordinates and equations into polar form and vice versa.
★ Sketch the graph of an equation in polar form.
★ Find the slope of a tangent line to a polar graph.
★ Apply definite integrals to polar form problems.
College Board® Learning Objectives:
★ LO2.1C Calculate derivatives
★ EK2.1C7(BC) Methods for calculating derivatives can be extended to polar curves
★ LO3.3B (a) Calculate antiderivatives
★ EK 2.2A4 (BC) In a polar equation the first and second derivatives of y with respect to x can provide information about the curve.
★ LO3.4D: Apply definite integrals to problems involving the length of a curve.
★ 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 ®
* Promethean Boards©
* Other APPS available for Tablets
If you have any questions or comments
please contact me by email me at: email@example.com
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