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Instructional Video12:52
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\n\"Parametric\n\n
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\nKhan Academy\n
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\nParametric Equations 3, Parametric Equations and Polar Coordinates, Precalculus\n

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\n\nFor Students\n\n10th - 12th\n
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\nFollowing 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...\n
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Instructional Video13:04
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\n\"Parametric\n\n
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\nKhan Academy\n
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\nParametric Equations 4, Parametric Equations and Polar Coordinates, Precalculus\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn 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...\n
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Worksheet
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 26\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math worksheet, students use the polar coordinates to find the Euclidian coordinates. Then they compare points on the coordinate plane.\n
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Worksheet
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 31\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nFor this math worksheet, students investigate vectors and polar coordinates. They convert the paths of polar coordinates to Euclidian points.\n
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Worksheet
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\n\"Cartesian\n\n
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\nCurated OER\n
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\nCartesian Coordinates\n

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\n\nFor Students\n\n11th\n
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\nIn this Cartesian coordinates learning exercise, 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...\n
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Worksheet
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 38\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn 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...\n
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 28 - Spring 1996\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math worksheet, students examine the graph in polar coordinates of r = f(θ). Then they sketch a graph of the modified functions indicated.\n
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Handout
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\n\"Math\n\n
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\nCurated OER\n
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\nMath Handbook: Trigonometry\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nYou'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...\n
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Lesson Plan
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\n\"Polar\n\n
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\nCurated OER\n
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\nPolar And Cartesian Coordinates\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nStudents engage in a instructional activity that is about the study of Cartesian and Polar Coordinates. They play a game of Battleship to create the context for the instructional activity. The examples in the instructional activity can...\n
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Worksheet
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\n\"Polar\n\n
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\nCurated OER\n
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\nPolar Coordinates Game\n

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\n\nFor Students\n\n10th - 11th\n
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\nIn 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....\n
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Lesson Plan
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\nCurated OER\n
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\nWorksheet 25\n

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\n\nFor Teachers\n\nHigher Ed\n
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\nIn 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...\n
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Lesson Plan
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\n\"Trigonometric\n\n
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\nCurated OER\n
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\nTrigonometric Form of Complex Numbers\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nThis 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...\n
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Worksheet
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 29 Spring 1999\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this math activity, 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.\n
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Worksheet
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\n\"PreCalculus:\n\n
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\nCurated OER\n
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\nPreCalculus: Final Examination\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn 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...\n
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Lesson Plan
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\n\"Graphing\n\n
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\nCurated OER\n
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\nGraphing Polar Coordinates\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nStudents 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.\n
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Worksheet
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\n\"AP\n\n
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\nCurated OER\n
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\nAP Calculus Practice Exam: BC Version - Part A\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this calculus learning exercise, students solve 28 multiple choice problems. Students find derivatives, volumes, limits, convergent series, etc.\n
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Lesson Plan
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\n\"Introduction\n\n
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\nCurated OER\n
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\nIntroduction To Polar Coordinates\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nHigh 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 lesson includes...\n
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Interactive
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\n\"Trigonometric\n\n
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\nCK-12 Foundation\n
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\nTrigonometric Form of Complex Numbers\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nRepresent 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...\n
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eBook
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\n\"Trigonometry\n\n
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\nSchoolcraft College\n
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\nTrigonometry\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nThis 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...\n
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Lesson Plan
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 20 - Derivatives\n

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\n\nFor Teachers\n\nHigher Ed\n
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\nIn this derivative worksheet, students 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.\n
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Lesson Plan
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\n\"Math\n\n
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\nCurated OER\n
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\nMath 53 – Practice Midterm #1\n

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\n\nFor Teachers\n\n9th - Higher Ed\n
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\nIn this math worksheet, students find the length of the curve given in the polar coordinates. They also evaluate the functions and simplify them.\n
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Worksheet
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\n\"Multivariable\n\n
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\nCurated OER\n
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\nMultivariable Calculus: Curvilinear Coordinates\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn 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...\n
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Worksheet
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\n\"Discussion\n\n
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\nCurated OER\n
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\nDiscussion Sheet 4: Integrals\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this integral learning exercise, students sketch solids in three dimensional space, determine the coordinates, evaluate the integrals and identify the moment of inertia. This one-page learning exercise contains six multi-step problems.\n
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Handout
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\n\"Pre-Calculus\n\n
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\nCurated OER\n
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\nPre-Calculus Review Sheet\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nPre-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. \n
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\n\nGet Free Access\n\nSee Review\n
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