Parametric Equations Teacher Resources

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...

In 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...

As 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...

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...

Explore 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...

In this parametric equations worksheet, students read informational paragraphs and answer 10 questions regarding parameter, velocity, speed, curvature, parametric equations, and scalar curvature.

Determine 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...

Trigonometry, 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...

Discover 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.

Students 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.

Get 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.

In this parametric equation learning exercise, students find a parametric representation by using the vector formula. They find the equation of a plane passing through given points. This two-page learning exercise contains examples,...

In 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.

In this calculus and analytic geometry worksheet, students explore parametric equations, tangent lines and the loop of curves in six equations.

In this parametric equation worksheet, students determine the length an object travels over a given amount of time. This one-page worksheet contains two problems.

Going 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...

We 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...

Represent 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...

It 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...

See 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...

Twelfth graders define parametric equations and take the derivative of parametric equations. In this calculus activity, 12th graders solve word problems using parametric equations to find x,y and z. They observe graphics and complete...

Learners 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...

Perform 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...

Assess pupil understanding of the relationship between matrices, vectors, linear transformations, and parametric equations. Questions range from recall to more complex levels of thinking. Problems represent topics learned throughout the...