Shodor Education Foundation
Polar Coordinates
Polar opposites might not work together—but polar coordinates do! The interactive provides learners the opportunity to graph trigonometric and algebraic functions using polar coordinates. The program takes either individual data points...
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.
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
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...
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
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
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
Graphing Polar Coordinates
High schoolers engage in a lesson that is about the plotting of polar coordinates while graphing equations. They plot multiple points with the help of a graphing calculator and using coordinate graph paper. Students identify the pattern...
Curated OER
Graphing Polar Coordinates
Students define polar equations and learn to plot them. In this calculus lesson plan, students relate polar equations to real life scenarios such as plants and comic strips. They discuss and define the curves of polar equations.
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
Graphing Polar Equations
In this graphing polar equations worksheet, students solve and complete 10 various types of problems. First, they construct a table of values using the special angles and their multiples. Then, students plot the points in the table on a...
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
Polar Coordinates Game
For this algebra game, students pair off to plot polar coordinates on a circular graph. They attempt to hit each other by guessing their opponents location on the graph. This is a great way to reinforce the concept of polar coordinates....
CK-12 Foundation
Trigonometric Form of Complex Numbers
Represent complex numbers in two ways. Pupils use the interactive to convert polar and rectangular representations of complex numbers. The learners drag an overlay back and forth over the coordinate plane to reveal the polar coordinates...
Curated OER
Polar Graphs
Students graph polar graphs. In this calculus lesson, students convert between polar and rectangular coordinates. They graph their solution on the TI calculator and make observations.
Yummy Math
A Cardioid for Valentine’s Day
It's Valentine's Day in geometry class! Celebrate the day of love with a heart-themed activity in which young mathematicians create a cardioid on polar graph paper.
Curated OER
Math Handbook: Trigonometry
You'll be spinning in unit circles once you read through this jumbo-sized resource of everything you need to know about trigonometry. Each page has color-coded examples with explicit directions that detail the problems and formulas.
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 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.
EngageNY
Curves in the Complex Plane
Go around and around on the complex plane. The sixth lesson in a 23-part unit reviews representing numbers in the complex plane. Pupils graph numbers with equal moduli and notice they represent a circle. They continue to explore complex...
Curated OER
Pre-Calculus Review Sheet
Pre-Calculus has some detailed formulas involved and here is a great resource that lumps then all together for you. Broken up into rectangular, polar, and parametric sections, the conics all include formulas and graphs.
College Board
2007 AP® Calculus BC Free-Response Questions
Provide a review for the exam so individuals don't tank. AP® provides the free-response questions for teachers to use to help their pupils prepare for the exam. The six BC questions from 2007 include regions bounded by functions, water...
Curated OER
Matrix Madness!!
Perform operations to add, subtract, multiply and divide matrices. Then solve problems with vectors using matrices. A three day activity: Matrix Madness, Mystical Matrices, and Decode the Encode. The last activity has prizes that the...
Schoolcraft College
Trigonometry
This trigonometry textbook takes the learner from a basic understanding of angles and triangles through the use of polar coordinates on the complex plane. Written by a mathematician-engineer, examples and problems here are used to...