This is the final 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.
★ Describe velocity and acceleration of vector functions
★ Analyze projectile motion of a vector-valued function
College Board® Learning Objectives:
★ LO2.3F (BC) Estimate solutions to differential equations
★ EK 2.3F1 Slope field provide visual clues to the behavior of solutions to first-order differential equations.
★ EK 2.3F2 (BC) For differential equations, Euler's method provides a procedure for approximating a solution or a point on a solution curve.
★ LO 3.4C Apply definite integrals to problems involving motion
★ EK 3.4C2 (BC): The definite integral can be used to determine displacement, distance, and position of a particle moving along a curve given by parametric or vector valued- functions
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
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