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.
★ 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 ®
* Promethean Boards©
* Other APPS available for Tablets
If you have any questions or comments
please contact me by email me at: firstname.lastname@example.org
Thanks for shopping in my store!