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\n\"Krista\n\n
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\nLesson Planet Curated\n
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\nKrista King Math: Pre-Calculus\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nA precalculus playlist of 29-videos demonstrates the processes and includes step-by-step explanations of functions. The collection includes inverse trig functions, polar coordinates, graphing polar curves, parametric curves, analytic...\n
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Instructional Video10:20
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\n\"Polar\n\n
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\nKhan Academy\n
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\nPolar Coordinates 1, Parametric Equations and Polar Coordinates, Precalculus\n

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\n\nFor Students\n\n10th - 12th\n
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\nSal defines polar coordinates and the relationships between Cartesian coordinates and polar coordinates using basic trigonometric identities and the Pythagorean Theorem in this introductory video.\n
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\n\"Polar\n\n
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\nShodor Education Foundation\n
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\nPolar Coordinates\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nPolar 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...\n
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Instructional Video3:24
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\n\"Introduction\n\n
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\nBrightstorm\n
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\nIntroduction to Polar Coordinates - Concept\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nLearning polar coordinates does not require visiting the North Pole, though explaining igloos is much easier using polar coordinates. The lesson begins with a video explaining how to find coordinates on a spherical plane and how to...\n
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 39 - Polar Coordinates\n

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\n\nFor Teachers\n\nHigher Ed\n
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\nIn 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.\n
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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\n11th - 12th\n\nStandards\n
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\nThe class practices plotting points in a Cartesian coordinate system and a Polar coordinate system. They convert from one system to the other to get coordinates to plot. Then they play a Tic-Tac-Toe or Connect Four game to have a...\n
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Interactive
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\n\"Plots\n\n
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\nCK-12 Foundation\n
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\nPlots of Polar Coordinates: Submarine Sonar\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nFind the location of enemy submarines with a sonar display that doubles as a polar coordinate system. Pupils find polar coordinates that would be the same location of plotted submarines. They then determine multiple polar...\n
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Interactive
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\n\"Rectangular\n\n
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\nCK-12 Foundation\n
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\nRectangular to Polar Form for Equations: Polar Coordinates\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nPlot 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...\n
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Interactive
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\n\"Distance\n\n
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\nCK-12 Foundation\n
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\nDistance Between Two Polar Coordinates: Exploring Changes in Angle and Radius\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nGet straight answers on a curved grid. An interactive has learners apply the Law of Cosines to find the distance between two points on the polar coordinate plane. The pupils use the radii lengths and the angle between the two radii...\n
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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\n11th - 12th\n
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\nThe 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...\n
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\n\"Space\n\n
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\nCurated OER\n
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\nSpace Shuttle's Heat Shield Problem\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nStudents participate in a role-play activity to determine how to replace heat shields on the space shuttle using polar coordinates.\n
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\n\"Complex\n\n
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\nTexas Instruments\n
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\nComplex Numbers: Plotting and Polar Form\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nExplore 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.\n
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\n\"A\n\n
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\nCurated OER\n
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\nA Second View of Polar Coordinates\n

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\n\nFor Teachers\n\nHigher Ed\n
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\nIn 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...\n
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 36-Spring 1996\n

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\n\nFor Teachers\n\nHigher Ed\n
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\nIn 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....\n
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\n\"Ellipses\n\n
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\nCurated OER\n
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\nEllipses and Kepler's First Law\n

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\nThe 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...\n
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 38-Spring 1996\n

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\n\nFor Teachers\n\nHigher Ed\n
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\nIn 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.\n
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eBook
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\n\"Calculus\n\n
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\nRice University\n
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\nCalculus Volume 3\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nSee calculus to the end. The eBook is the last of a three-volume series covering college-level calculus topics. Scholars begin with parametric equations and polar coordinates before moving to vectors, finally ending with multi-variable...\n
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\n\"Architecture:\n\n
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\nCurated OER\n
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\nArchitecture: CAD Design\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nStudents apply computer-assisted design programs to develop sketches and technical drawings for a three-bedroom house. Working together, they develop strategies for presenting their designs, investigate building codes, and hone skills...\n
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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\n9th - 12th\n
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\nLearners 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 known...\n
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\n\"Visualizing\n\n
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\nCurated OER\n
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\nVisualizing Vectors\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nInvestigate 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.\n
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Handout
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\n\"Complex\n\n
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\nThomson Brooks-Core\n
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\nComplex Numbers\n

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\n\nFor Students\n\n10th - 12th\n
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\nA 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...\n
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Interactive
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\n\"Direction\n\n
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\nCK-12 Foundation\n
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\nDirection on the Earth: Using a Compass\n

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\n\nFor Students\n\n6th - 8th\n
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\nNavigate the world of orienteering in an informative interactive. Earth science scholars learn practical direction skills, such as proper polar coordinates and pairing compasses with maps. The interactive map allows them to practice...\n
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Instructional Video11:08
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\n\"Parametric\n\n
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\nKhan Academy\n
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\nParametric Equations 1, Parametric Equations and Polar Coordinates, Precalculus\n

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\nAs an introduction to parametric equations, Sal solves the problem of finding the path of a car that drives off a 50-meter-high cliff while traveling five meters per second. He uses a pair of equations: x(t) = 10 + 5t and y(t) = 50 Ð...\n
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Instructional Video9:45
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\n\"Parametric\n\n
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\nKhan Academy\n
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\nParametric Equations 2, Parametric Equations and Polar Coordinates, Precalculus\n

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\nIn this well-presented video, Sal continues with the example of the car driving off the cliff and discusses how the time (t) should be bound based on the context of the problem. He then shows how to rewrite the set of parametric...\n
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