College Board
2011 AP® Calculus BC Free-Response Questions Form B
Take a second look. Form B of the AP® Calculus BC free-response questions allow pupils and teachers to see another set of items. The six questions expand the set of items from the 2011 free-response questions. Form B items include a...
College Board
2009 AP® Calculus BC Free-Response Questions Form B
Let them eat cake. The free-response questions from an AP® Calculus BC exam cover several topics that include finding the area under a curve within the context of creating a birthday cake. Calculus concepts include finding rates of...
College Board
2003 AP® Calculus BC Free-Response Questions Form B
Be integral to the learners in the classroom. Pupils use integrals, differentiation, and limits to solve the free-response questions from an AP® Calculus BC exam. Items cover topics such as area under a curve, particle motion, average...
College Board
2003 AP® Calculus BC Free-Response Questions
There are shaded areas, particles, polar equations, oh my! Teachers use the materials to see how their pupils compare to the AP® Calculus BC exam expectations. Scholars use the released items to practice on several BC topics and become...
Curated OER
Visualizing Vectors
Investigate vectors in standard positions and use the CellSheet application on the TI calculator to find the sum of two vectors. Convert from polar to rectangular coordinates and vice versa, and show graphs of the vectors.
Curated OER
Worksheet 39 - Polar Coordinates
In this polar coordinates worksheet, students graph polar coordinates and determine the values of a given series. This one-page worksheet contains 14 multi-step problems.
Curated OER
Trigonometric Form of Complex Numbers
This lesson is written from the perspective of a student teacher. A step by step lesson in which the class works on the trigonometric form of complex numbers. They convert between trigonometric and complex forms. They will also practice...
Curated OER
Worksheet 38
In this math worksheet, students investigate different types of functions and coordinate systems. They review that when integrating a function over a region in the plane using polar coordinates, a “magical” factor of r appears in the...
Other
Calculus Animations With Mathcad: Polar Curves
Contains an animation that will show you how the graphs of a number of polar equations are graphed. (Page may take some time to load completely.)
Paul Dawkins
Paul's Online Notes: Calculus Ii: Parametric Equations and Polar Coordinates
The resource examines parametric equations and polar coordinates. Topics investigated are parametric curves, area with parametric equations, arc length with polar coordinates, and surface area with polar coordinates. Class notes,...
Khan Academy
Khan Academy: Angle of Complex Numbers
Given a complex number of the form a+bi, find its angle. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
CK-12 Foundation
Ck 12: Trigonometry: Polar to Rectangular Conversions
[Free Registration/Login may be required to access all resource tools.] This lesson teaches you how to change Polar coordinates into rectangular coordinates.
CK-12 Foundation
Ck 12: Trigonometry: Polar to Rectangular Conversions
[Free Registration/Login may be required to access all resource tools.] Convert coordinates from polar to rectangular.
CK-12 Foundation
Ck 12: Polar Form of a Complex Number
[Free Registration/Login may be required to access all resource tools.] Here you will learn how to convert complex numbers from rectangular form to polar form. You will also explore the graphs of complex numbers on a polar graph.
Windstream
Ojk's Precalculus Study Page: Polar Coordinates Sample Test
A practice test covering the polar form of complex numbers, including using DeMoivre's Theorem to find powers and roots of complex numbers.
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Polar Coordinates
Find a quick, concise explanation of polar coordinates. An example is given and clearly explained.
