CK-12 Foundation
Rectangular to Polar Form for Equations: Polar Coordinates
Plot points around a wheel. Pupils use an interactive tool to plot a point using polar coordinates with the aid of a wheel. Scholars use the interactive to answer five questions to finish the lesson. The resource provides background...
Thomson Brooks-Core
Complex Numbers
A straightforward approach to teaching complex numbers, this lesson addresses the concepts of complex numbers, polar coordinates, Euler's formula, De moivres Theorem, and more. It includes a practice problems set with odd answers and a...
Curated OER
The AP Calculus Problem Book
Are you always looking for extra problem resources to incorporate in your classes? A set of problems for a full AP Calculus course may be all you need! Each unit has a full set of questions and a sample test.
Whitman College
Calculus - Early Transcendentals
This textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Texas Instruments
Complex Numbers: Plotting and Polar Form
Explore the concept of, and use the Ti-Nspire to, convert complex numbers into polar form. Then practice graphing complex numbers in the polar coordinate plane.
Curated OER
Polar and Cartesian Coordinates
The class has a brief review of polar and Cartesian coordinates. Then they get to play battleship and discover polar coordinates in more depth. They get a lot of practice converting from polar to Cartesian coordinate points and vice...
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
Space Shuttle's Heat Shield Problem
High schoolers participate in a role-play activity to determine how to replace heat shields on the space shuttle using polar coordinates.
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
Worksheet 36-Spring 1996
In this math worksheet, students sketch the regions that give rise to three integrals. They find the volume of a solid in the first octant bounded by a defined cylinder and a parabaloid. Students change a function to polar coordinates....
Curated OER
Worksheet 25
In this math worksheet, students draw a graph of functions on a polar graphing system. They graph two functions by first plotting them on the vertical axis as a function of a given angle, then by plotting them at a radial distance from...
Curated OER
Worksheet 38-Spring 1996
For this math worksheet, students determine if the definite integral of given functions exist. They use a Taylor polynomial to approximate given values. Students express the arc length of a graph on a polar coordinate system as an integral.
Curated OER
Ellipses and Kepler's First Law
The class examines graphs in the form r = F(¿¿) in polar coordinates (r, ¿¿), in particular with the circle, ellipse and other conic sections. They determine the nature of an ellipse by studying the role of the semimajor axis and...
Curated OER
Trigonometric Form of Complex Numbers
This instructional activity is written from the perspective of a student teacher. A step by step instructional activity in which the class works on the trigonometric form of complex numbers. They convert between trigonometric and complex...
Curated OER
AP Calculus Practice Exam: BC Version - Part A
In this calculus activity, students solve 28 multiple choice problems. Students find derivatives, volumes, limits, convergent series, etc.
Curated OER
Cartesian Coordinates
For this Cartesian coordinates worksheet, 11th graders solve and complete 4 different multiple choice problems. First, they express each of the Cartesian coordinates provided as polar coordinates. Then, students find the Cartesian...
Curated OER
Discussion Sheet 4: Integrals
In this integral instructional activity, students sketch solids in three dimensional space, determine the coordinates, evaluate the integrals and identify the moment of inertia. This one-page instructional activity contains six...
Curated OER
Multivariable Calculus: Curvilinear Coordinates
In this curvilinear coordinate instructional activity, students compute the Jacobian of standard transformations to Cartesian coordinates from polar, spherical and cylindrical coordinates. They identify the determinant of the Jacobian...
Curated OER
Worksheet 31
In this math learning exercise, students investigate vectors and polar coordinates. They convert the paths of polar coordinates to Euclidian points.
Curated OER
Worksheet 26
In this math learning exercise, students use the polar coordinates to find the Euclidian coordinates. Then they compare points on the coordinate plane.
Curated OER
Worksheet 38
In this math instructional activity, 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...
Curated OER
Worksheet 28 - Spring 1996
For this math worksheet, students examine the graph in polar coordinates of r = f(θ). Then they sketch a graph of the modified functions indicated.
Curated OER
A Second View of Polar Coordinates
In this polar coordinates worksheets, students change ordered pairs from rectangular form to polar form. They plot and label points and identify alternative coordinate pairs for given points. There are approximately 20 problems on this...