Subject

Grade Levels

Resource Type

Product Rating

File Type

Compressed Zip File

Be sure that you have an application to open this file type before downloading and/or purchasing.

3 MB|10 pages

Share

Product Description

This is the second lesson in a seven-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 slope of a tangent line to a parametric curve

★ Find the arc length of a parametrically-defined curve

★ Solve problems involving planar motion, velocity, and speed

★ Use technology to find arc length of a parametrically-defined curve

**College Board® Learning Objectives:**

★ LO2.1C Calculate derivatives

★ LO 3.3B (b) Evaluate definite integrals

★ EK2.1C7(BC) Methods for calculating derivatives can be extended to parametric functions

★ LO 2.3C Solve problems involving planar motion

★ EK 2.3C4 (BC) Derivatives can be used to determine velocity, speed, and acceleration for a particle moving along curves given by parametric or vector-valued functions

★ 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

★ 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. Vector-Valued Functions

7. 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: jean@flamingomath.com

Thanks for shopping in my store!

✎ A set of

✎ A daily homework assignment

✎ Two forms of a daily homework quiz or exit ticket

✎ Teachers also have the benefit of a

★ Find the slope of a tangent line to a parametric curve

★ Find the arc length of a parametrically-defined curve

★ Solve problems involving planar motion, velocity, and speed

★ Use technology to find arc length of a parametrically-defined curve

★ LO2.1C Calculate derivatives

★ LO 3.3B (b) Evaluate definite integrals

★ EK2.1C7(BC) Methods for calculating derivatives can be extended to parametric functions

★ LO 2.3C Solve problems involving planar motion

★ EK 2.3C4 (BC) Derivatives can be used to determine velocity, speed, and acceleration for a particle moving along curves given by parametric or vector-valued functions

★ 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

★ 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.

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. Vector-Valued Functions

7. Velocity and Acceleration of Vector Functions

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: jean@flamingomath.com

Thanks for shopping in my store!

Total Pages

10 pages

Answer Key

Included

Teaching Duration

50 minutes