{"results":"
\n\n
\n
\n
\n
Instructional Video13:04
\n
\n
\n
\n\"Parametric\n\n
\n
\n
\n
\nKhan Academy\n
\n

\nParametric Equations 4, Parametric Equations and Polar Coordinates, Precalculus\n

\n
\n\nFor Students\n\n10th - 12th\n
\n
\n
\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
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Instructional Video9:45
\n
\n
\n
\n\"Parametric\n\n
\n
\n
\n
\nKhan Academy\n
\n

\nParametric Equations 2, Parametric Equations and Polar Coordinates, Precalculus\n

\n
\n\nFor Students\n\n10th - 12th\n
\n
\n
\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
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Instructional Video11:08
\n
\n
\n
\n\"Parametric\n\n
\n
\n
\n
\nKhan Academy\n
\n

\nParametric Equations 1, Parametric Equations and Polar Coordinates, Precalculus\n

\n
\n\nFor Students\n\n10th - 12th\n
\n
\n
\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
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Instructional Video12:52
\n
\n
\n
\n\"Parametric\n\n
\n
\n
\n
\nKhan Academy\n
\n

\nParametric Equations 3, Parametric Equations and Polar Coordinates, Precalculus\n

\n
\n\nFor Students\n\n10th - 12th\n
\n
\n
\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
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"Jump!\n\n
\n
\n
\n
\nAlabama Learning Exchange\n
\n

\nJump! An Exploration into Parametric Equations\n

\n
\n\nFor Teachers\n\n9th - 12th\n
\n
\n
\nExplore parametric equations in this lesson, and learn how to determine how much time it takes for an object to fall compared with an object being launched. high scoolers will use parametric equations to follow the path of objects in...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"Worksheet\n\n
\n
\n
\n
\nCurated OER\n
\n

\nWorksheet 28: Parametric Equations\n

\n
\n\nFor Teachers\n\n12th - Higher Ed\n
\n
\n
\nIn this parametric equations worksheet, students read informational paragraphs and answer 10 questions regarding parameter, velocity, speed, curvature, parametric equations, and scalar curvature.\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Interactive
\n
\n
\n
\n\"Parametric\n\n
\n
\n
\n
\nCK-12 Foundation\n
\n

\nParametric Equations: Protecting the Village\n

\n
\n\nFor Students\n\n11th - Higher Ed\n
\n
\n
\nDetermine the location of the pillars in time. Given a table of values for two parametric equations, pupils complete the table to determine the location and time it takes to build the pillars. Learners plot the points representing...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Worksheet
\n
\n
\n
\n\"Parametric\n\n
\n
\n
\n
\nYummy Math\n
\n

\nParametric Equations and a Heart\n

\n
\n\nFor Students\n\n8th - 12th\n\nStandards\n
\n
\n
\nTrigonometry, art, and Valentine's Day come together in a creative activity about parametric equations. Learners calculate several equations before graphing them either by hand, on a graphic calculator, or Excel spreadsheet to curve...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"Linear\n\n
\n
\n
\n
\nEngageNY\n
\n

\nLinear Transformations of Lines\n

\n
\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
\n
\n
\nDiscover the extension of parametric equations to model linear transformations. Scholars first write parametric equations to model lines through two points. They then find the parametric equations that represent a linear transformation.\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"Introduction\n\n
\n
\n
\n
\nCurated OER\n
\n

\nIntroduction to Parametric Equations\n

\n
\n\nFor Teachers\n\n9th - 10th\n
\n
\n
\nLearners write and solve parametric equations. In this algebra lesson plan, students find and eliminate parameter of equations. They graph parametric equations and analyze the graphs.\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Worksheet
\n
\n
\n
\n\"Worksheet\n\n
\n
\n
\n
\nCurated OER\n
\n

\nWorksheet #2.7 MT-A141 PreCalculus\n

\n
\n\nFor Students\n\n11th - 12th\n
\n
\n
\nGet ready for Calculus! The class solves equations, graphs a relation defined parametrically, and gives the parametric equation for the inverse relation. They then identify the geometric relationship between two graphs.\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Worksheet
\n
\n
\n
\n\"Multivariable\n\n
\n
\n
\n
\nCurated OER\n
\n

\nMultivariable Calculus: Parametric Equations of Lines and Planes\n

\n
\n\nFor Students\n\n11th - Higher Ed\n
\n
\n
\nIn this parametric equation activity, students find a parametric representation by using the vector formula. They find the equation of a plane passing through given points. This two-page activity contains examples, explanations and...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Worksheet
\n
\n
\n
\n\"Parametric\n\n
\n
\n
\n
\nCurated OER\n
\n

\nParametric Equations\n

\n
\n\nFor Students\n\n12th - Higher Ed\n
\n
\n
\nIn this parametric equation worksheet, students explore parametric equations and their graphs. They describe the motion of a particle. This four-page worksheet contains approximately seventeen problems.\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Worksheet
\n
\n
\n
\n\"Parametric\n\n
\n
\n
\n
\nCurated OER\n
\n

\nParametric Equations\n

\n
\n\nFor Students\n\nHigher Ed\n
\n
\n
\nIn this calculus and analytic geometry worksheet, students explore parametric equations, tangent lines and the loop of curves in six equations.\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Worksheet
\n
\n
\n
\n\"Parametric\n\n
\n
\n
\n
\nCurated OER\n
\n

\nParametric Equations: Speed, Arc Length\n

\n
\n\nFor Students\n\n11th - Higher Ed\n
\n
\n
\nIn this parametric equation worksheet, students determine the length an object travels over a given amount of time. This one-page worksheet contains two problems.\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Assessment
\n
\n
\n
\n\"Going\n\n
\n
\n
\n
\nConcord Consortium\n
\n

\nGoing Up\n

\n
\n\nFor Students\n\n11th - 12th\n
\n
\n
\nGoing on up—and up and up! An open-ended task asks learners to model the movement of an amusement ride with parametric equations. They then analyze their equations to determine how the shadow of the ride's car moves as it rises at a...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"Motion\n\n
\n
\n
\n
\nEngageNY\n
\n

\nMotion Along a Line – Search Robots Again\n

\n
\n\nFor Students\n\n9th - 12th\n\nStandards\n
\n
\n
\nWe can mathematically model the path of a robot. Learners use parametric equations to find the location of a robot at a given time. They compare the paths of multiple robots looking for parallel and perpendicular relationships and...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"Vectors\n\n
\n
\n
\n
\nEngageNY\n
\n

\nVectors and the Equation of a Line\n

\n
\n\nFor Students\n\n11th - 12th\n\nStandards\n
\n
\n
\nRepresent linear equations in both two and three dimensions using parametric equations. Learners write parametric equations for linear equations in both two and three variables. They graph and convert the parametric equations to...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Unit Plan
\n
\n
\n
\n\"Vectors:\n\n
\n
\n
\n
\nCollege Board\n
\n

\nVectors: A Curriculum Module for AP® Calculus BC\n

\n
\n\nFor Students\n\n10th - 12th\n
\n
\n
\nIt is all in a matter of time. The model curriculum module uses parametric equations and vectors to solve problems dealing with particle motion along a curve. At the beginning of the lesson, the unit reviews parametric equations and...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
eBook
\n
\n
\n
\n\"Calculus\n\n
\n
\n
\n
\nRice University\n
\n

\nCalculus Volume 3\n

\n
\n\nFor Students\n\n11th - Higher Ed\n
\n
\n
\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
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"The\n\n
\n
\n
\n
\nCurated OER\n
\n

\nThe Football Kick An Application of Parametric Equations\n

\n
\n\nFor Teachers\n\n12th\n
\n
\n
\nTwelfth graders define parametric equations and take the derivative of parametric equations. In this calculus lesson, 12th graders solve word problems using parametric equations to find x,y and z. They observe graphics and complete...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"The\n\n
\n
\n
\n
\nCurated OER\n
\n

\nThe Football Kick:An Application of Parametric Equations\n

\n
\n\nFor Teachers\n\n9th - 12th\n
\n
\n
\nStudents investigate the concepts relating to the solving of parametric equations. They take the derivatives of parametric equations during guided and independent practice using the problems provided in the lesson plan. Students also...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Interactive
\n
\n
\n
\n\"Parametric-Inverses:\n\n
\n
\n
\n
\nCK-12 Foundation\n
\n

\nParametric-Inverses: Graph Matching\n

\n
\n\nFor Students\n\n11th - Higher Ed\n
\n
\n
\nPerform a switch to find the inverse of a parametric equation. Pupils match four parametric functions with the graph of the their inverses. Using the graphs, learners determine whether particular points are on the original parametric...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
eBook
\n
\n
\n
\n\"Calculus\n\n
\n
\n
\n
\nRice University\n
\n

\nCalculus Volume 2\n

\n
\n\nFor Students\n\n11th - Higher Ed\n
\n
\n
\nDelve into the middle of calculus. The resource is the second eBook of three that covers the complete calculus content. Seven chapters begin with integrals and different methods of integration before moving on to differential equations....\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n","pagination":"
\n
\n
\n"}