Curated OER
Vectors
For this vectors worksheet, students solve and complete 6 various types of problems. First, they find two unit vectors that are parallel to the given vector and illustrate. Then, students find parametric equations for the line that...
Curated OER
Parametric Equations
In this parametric equation activity, students explore parametric equations and their graphs. They describe the motion of a particle. This four-page activity contains approximately seventeen problems.
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.
Curated OER
Math 53 - Review for Midterm 1
In this review for midterm, students use parametric equations to find points on a curve, explore conic sections, write vector functions, and sketch cylindrical coordinates. This two-page review contains 10 multi-step problems.
Curated OER
Multivariable Calculus: Parametric Equations of Lines and Planes
In this parametric equation worksheet, students 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
Math 53 - Midterm 1 Review
In this math worksheet, students eliminate the parameter to find a Cartesian equation of the curve given by the parametric equations.
Curated OER
Worksheet 2.4/2.5: MT-A141 PreCalculus
In this precalculus instructional activity, students use their graphing calculator to graph the domain and range of given terms. They write parametric equations and identify the coordinates of the points on the relation given certain...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Conic Sections
Hotmath provides 26 practice problems relating to conic sections. Each of the practice problems include a step-by-step guide for solving their conic.
Mathematics Archives
Math Archives: Visual Calculus: Parametric Equations
Visual Calculus offers a tutorial on how to graph systems of parametric equations with several examples.
Harvey Mudd College
Harvey Mudd College: Parametric Equations
Explanations and examples of parametric equations--in which a curve is traced out over time, sometimes doubling back on itself or crossing itself.
Texas Instruments
Texas Instruments: Parametric Equations
This questions set tests the following knowledge and skills in parametrics: graphing parametric equations; projectile motion; conversions between parametric and nonparametric forms. Solutions are provided.
Texas Instruments
Texas Instruments: Numb3 Rs: Fresh Air and Parabolas
Based off of the hit television show NUMB3RS, this lesson examines a plane crash, and gets students to try to find the location of various pieces of wreckage. This is done using parametric equations which form a parabolic trajectory....
Texas Instruments
Texas Instruments: Vectors and Projectile Motion on the Ti 89
Students will study various properties of projectile motion by showing how the calculator manipulates three dimensional vectors, deriving the standard equations of motion for projectile motion, and applying these equations to 1st and 2nd...
Texas Instruments
Texas Instruments: Crawling Around: Parametric Plots
In this activity, students' will record the x- and y-coordinates of a rod moving in a figure-eight pattern. They will then use the recorded motion information to separately model the x- and y-motion as a function of time. They will plot...
Khan Academy
Khan Academy: Solve for T
In this seven-problem quiz/practice students parameterize rays by solving for t.
Khan Academy
Khan Academy: Ray Intersection With Line
In this seven-question quiz/practice students find where a ray intersects with a line in implicit form.
Khan Academy
Khan Academy: Parametric Ray Intuition
This is a seven-question quiz/practice review the parametric representation of a ray.
Wolfram Research
Wolfram Math World: Parametric Equations
Read a short explanation of parametric equations and how they differ from other kinds. Also provides a diagram and a bibliography.
Richland Community College
Richland Community College: Parametric Equations
This is a discussion of how to graph parametric equations, how to enter them into your calculator, and how to eliminate the parameter. The site has examples to help clarify the concept of eliminating the parameter.
ClassFlow
Class Flow: Parametric Equations and Further Graphing
[Free Registration/Login Required] Excellent diagrams, including the Ferris wheel, depict parametric equations and their related graphs.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Parametric Equations and Projectile Motion
Six problems offer practice working with parametric equations and projectile motion. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution"...
University of California
Ucla Calculus Problem: Symmetric Equation of a Line
This site explains the steps to finding the parametric and symmetric equations of a line given two points in three dimensions.