Polar Coordinates and Graphs (BC Calculus – Unit 9)

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Polar Coordinates and Graphs Lesson:
Your AP Calculus BC students will find slope of a tangent line to a polar graph, apply definite integrals to polar form problems and sketch graphs in polar form.

What is included in this resource?

⭐ Guided Student Notes

⭐ Fully-editable SMART Board® Slides

⭐ Homework/Practice assignment

⭐ Content quiz

⭐ Video Lesson Link for Distance Learning – Flipped Classroom models

⭐ Full solution set

***(2/17/2023) Added equation to Form B Daily Quiz Student copy

Lesson Objective:

★ 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.


NOTE: This lesson has been updated to reflect the changes in the AP Calculus CED Binder .


College Board® Topics:

Topic 9.7: Defining Polar Coordinates and Differentiation in Polar Form

College Board® Learning Objectives:

FUN-3.G: Calculate derivatives of functions written in polar coordinates. BC ONLY

FUN-3.G.1: Methods for calculating derivatives of real-valued functions can be extended to functions in polar coordinates. BC ONLY

FUN-3.G.2: For a curve given by a polar equation r=f(θ), derivatives of r, x, and y with respect to θ, and first and second derivatives of y with respect to x can provide information about the curve. BC ONLY

The unit includes the following topics:

1. Parametric Equations and Calculus

2. Parametric Equations and Arc Length

4. Velocity and Acceleration of Vector Functions

5. Polar Coordinates and Graphs

6. Area and Arc Length in Polar Coordinates

Click HERE to SAVE 20% by buying all PARAMETRICS, POLARS & VECTORS products, including cooperative activities, in the UNIT 9 MEGA BUNDLE.

You may also be interested in:

Parametrics, Polars and Vectors Essentials

Parametrics, Polars and Vectors Assessments

Parametrics, Polars and Vectors Homework

AP® is a registered trademark of the College Board® which was not involved in the creation of, and does not endorse this product.



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