Curated OER
Powers and Roots of Complex Numbers
Explore a few powers of complex numbers numerically and decide if there is a pattern and use parametric equations to represent a complex number graphically. Use De Moivre's theorem to represent the roots of the complex number...
Curated OER
Vectors
In this vectors worksheet, students solve and complete 6 various types of problems. First, they find an equation of a sphere with a given center point and endpoint of a radius at the point. Then, students find the scalar and vector...
Curated OER
Worksheet 11
In this math learning exercise, students find the vector parametric equation and symmetric equations for the line using two coordinate points.
Curated OER
Parametrics 1
In this parametric worksheet, students sketch given inequalities and use trigonometry functions to eliminate the parameters. They write equations of a line under given parameters. This four-page worksheet contains 11 multi-step problems.
Other
Personal: Astroid
Excellent personal site! Gives the complete history of the astroid and has lots of pictures, graphs, and even videos!
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: Numb3 Rs: The Great Escape
Based off of the hit television show NUMB3RS, this activity introduces students to the concept of parametric equations. Using such equations, students model (on their graphing calculator) a scenario which questions whether a vehicle...
Other
College of the Redwoods: The Epicycloid
This resource gives a brief description and history lesson. Shows you how to use epicycloids.
Other
College of the Redwoods: Nephroid
This resource describes what a nephroid is and what it looks like in graph form.
University College London
University College London: Hyperbolic Table of Contents
This is a good site from the University College London with links to the various sections on hyperbolics.
University of St. Andrews (UK)
University of St. Andrews: Asteroid
This site, which is provided for by the University of St. Andrews, shows the graph of an asteroid and gives the parametric and cartesian equations.
University of St. Andrews (UK)
University of St. Andrews: Curves: Epicycloid
Gives the parametric equation and a brief history.
University of St. Andrews (UK)
University of St. Andrews: Epicycloid
Very cool site. Allows you to zoom in/out and add evolutes, involutes, etc.
University of St. Andrews (UK)
University of St. Andrews: Lissajous Curves
Gives a brief history and lists the parametric cartesian equations.
University of St. Andrews (UK)
University of St. Andrews: Cardioid
This site, which is provided for by the University of St. Andrews, gives a brief history of the cardioid. Shows parametric and cartesian equations.
Math Open Reference
Math Open Reference: Arc Length
Explore arc lengths with this handy reference guide. Provides a detailed definition, examples, and an animation that enhances further explanation. Includes links to related topics.
Mathematics Archives
Math Archives: Visual Calculus: Families of Parametric Equations
This site gives an example of parametric equations. The site also gives an animation of how the curve is drawn. Requires the use of Live-Math plug-in, which is free.
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.
Other
College of the Redwoods: Special Plane Curves
This resource gives a report on asteroids including brief history and pictures.
Other
College of the Redwoods: Conchoid Nicomedes
This resource derives the equations and gives several examples of Conchoid Nicomedes.
ClassFlow
Class Flow: Pre Calculus Parametric Equations
[Free Registration/Login Required] Students interactively explore parametric equations.
University of St. Andrews (UK)
University of St. Andrews: Cissoid of Diocles
This site, which is provided for by the University of St. Andrews, describes the properties behind cissoids and graphs them.
Other
Math Pages: Differential Operators and the Divergence Theorem
This site discusses the divergence theorem and gives many examples of its use.