# Parametric Equations Teacher Resources

Find Parametric Equations lesson plans and worksheets

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Lesson Planet Curated

#### Exploring Space Through Math: Geometry

Young mathematicians use their knowledge of geometry and precalculus to study the movement of the robotic arm on the International Space Station (ISS) and the flight pattern of NASA’s C-9 jet. In addition, they use spherical coordinates...

Curated OER

#### Parametric Equations 2

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...

Curated OER

#### Parametric Equations 3

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

In a follow-up from the problem presented in the last video, Sal considers the question of whether other parametric equations exist that move along the same path as the last equations. He shows that taking a multiple of time, t, just...

Curated OER

#### Parametric Equations 1

As an introduction to parametric equations, Sal solves the problem of finding the path of a car that drives off a cliff that is 50 meters high while traveling five meters per second. He uses a pair of equations: x(t) = 10 + 5t and y(t) =...

Alabama Learning Exchange

#### Jump! An Exploration into Parametric Equations

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...

Curated OER

#### Worksheet 28: Parametric Equations

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

CK-12 Foundation

#### Parametric Equations: Protecting the Village

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...

Yummy Math

#### Parametric Equations and a Heart

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...

EngageNY

#### Linear Transformations of Lines

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.

NASA

#### Simulating Weightlessness

Floating across the top. Class groups examine the parabolas, written as parametric equations, that model the flight path of NASA's C-9 as it simulates weightlessness. They continue their exploration by changing the parameters to...

Curated OER

#### Introduction to Parametric Equations

Students write and solve parametric equations. In this algebra lesson, students find and eliminate parameter of equations. They graph parametric equations and analyze the graphs.

Curated OER

#### Worksheet #2.7 MT-A141 PreCalculus

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.

Curated OER

#### Multivariable Calculus: Parametric Equations of Lines and Planes

In this parametric equation worksheet, learners find a parametric representation by using the vector formula. They find the equation of a plane passing through given points. This two-page worksheet contains examples, explanations and...

Curated OER

#### Parametric Equations

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.

Curated OER

#### Parametric Equations

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

Curated OER

#### Parametric Equations: Speed, Arc Length

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.

Concord Consortium

#### Going Up

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...

EngageNY

#### Motion Along a Line – Search Robots Again

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...

EngageNY

#### Vectors and the Equation of a Line

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...

College Board

#### Vectors: A Curriculum Module for AP® Calculus BC

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...

Rice University

#### Calculus Volume 3

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...

Curated OER

#### The Football Kick An Application of Parametric Equations

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

Curated OER

#### The Football Kick:An Application of Parametric Equations

Young scholars 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...