Polar Coordinates Teacher Resources
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Khan Academy
Parametric Equations 3, Parametric Equations and Polar Coordinates, Precalculus
Following his intuitive manner, Sal considers another set of parametric equations. This time, he looks at two equations using trigonometric functions and, using one of the basic trigonometric identities, removes the parameter from the...
Khan Academy
Parametric Equations 4, Parametric Equations and Polar Coordinates, Precalculus
In a follow-up to the problem presented in the last video, Sal considers whether other parametric equations move along the same path as the last equations. He shows that taking a multiple of time changes the speed of the position along...
Curated OER
Worksheet 26
In this math worksheet, students use the polar coordinates to find the Euclidian coordinates. Then they compare points on the coordinate plane.
Curated OER
Cartesian Coordinates
In 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
Worksheet 38
In this math learning exercise, 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...
Curated OER
Worksheet 31
In this math worksheet, learners investigate vectors and polar coordinates. They convert the paths of polar coordinates to Euclidian points.
Curated OER
Worksheet 28 - Spring 1996
In 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
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
Polar And Cartesian Coordinates
Learners engage in a lesson that is about the study of Cartesian and Polar Coordinates. They play a game of Battleship to create the context for the lesson. The examples in the lesson can be used as a guide for the students or the teacher.
Curated OER
Polar Coordinates Game
In 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....
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
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 29 Spring 1999
In this math worksheet, students describe in terms of reflections what happens to a point when (r, θ) in polar coordinates changes. They also discuss the concept of symmetry.
Curated OER
PreCalculus: Final Examination
In this final examination worksheet, students find the tangent function and sine function. They graph problems on a polar coordinate. Students describe trigonometric properties. This twelve-page worksheet contains 80 problems.
Curated OER
Graphing Polar Coordinates
Young scholars define polar equations and learn to plot them. In this calculus lesson, 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
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
Introduction To Polar Coordinates
High schoolers investigate the polar coordinate system and practice plotting using Cartesian Coordinates. They find the angle and the radius and plot them while comprehending the ordered pairs using the x and y axis. The activity...
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...
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...
Curated OER
Worksheet 20 - Derivatives
In this derivative worksheet, pupils solve functions, sketch the direction of the rate of change, and describe functions using polar coordinates. This two-page worksheet contains seven multi-step problems.
Curated OER
Math 53 – Practice Midterm #1
In this math worksheet, students find the length of the curve given in the polar coordinates. They also evaluate the functions and simplify them.
Curated OER
Multivariable Calculus: Curvilinear Coordinates
In this curvilinear coordinate worksheet, students compute the Jacobian of standard transformations to Cartesian coordinates from polar, spherical and cylindrical coordinates. They identify the determinant of the Jacobian matrices. This...
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
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.
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