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Wolfram Research
Wolfram Math World: Epicycloid
Shows how to graph them and also derives the polar equations from the parametric equation. The site then defines a few special Epiycloids. Includes a definition, formulas, graphs, video, and links to related topics.
Texas Instruments
Texas Instruments: Powers and Roots of Complex Numbers
Complex numbers can be represented graphically using parametric equations. The roots of complex numbers, including the roots of unity, can be represented graphically using De Moivre's theorem and parametric equations.
Texas Instruments
Texas Instruments: Visualizing Related Rates Problems
This activity models related rates problems using parametric equations for simulation purposes.
Texas Instruments
Texas Instruments: Numb3 Rs: The Chase
Based off of the hit television show NUMB3RS, this lesson has students develop the concept of pursuit curves, in which one object moves according to the movements of another object. This lesson is framed in the context of an officer...
Texas Instruments
Texas Instruments: Motion of Related Objects
This activity introduces the concept of related rates with parametric equations using a projectile motion problem.
Johan Claeys
Math Abundance: The Parabola
Defines parabolas, their properties, gives parametric equations, tangent line in a point D of a parabola, etc.
Texas Instruments
Texas Instruments: Numb3 Rs Season 2 "Convergence" Where Is the Bullet?
Charlie uses parametric equations of projectile motion to figure out where to look for a fired bullet in the "Convergence" episode of the show NUMB3RS. The lesson plan includes a student page complete with keystroke instructions for the...
Johan Claeys
Math Abundance: The Hyperbola
Great Site! Defines Hyperbola, gives the parametric equation, etc.
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.
Texas Instruments
Texas Instruments: Conics in Standard and Parametric Form
This is a second learn check to use after completing the intro to changing from rectangular form to parametric form of the equations of conics.
Texas Instruments
Texas Instruments: Conics & Parametrics 1
This activity is a LearningCheck to quickly assess students' ability to identify conics from their equations in both rectangular and parametric form.
Other
Gobierno De Navarra: Cicloides Y Trocoides
This unit shows the graph of a polar equation and gives several pretty graphed examples. It shows the difference in the graphs just by varying a constant value.
Wolfram Research
Wolfram Math World: Sphere
This webpage thoroughly discusses the math of spheres. Includes the equation for a sphere in Cartesian and spherical coordinates as well as parametrically. Surface Area, volume, and curvature are addressed at this extensive site.
Wolfram Research
Wolfram Math World: Cardioid
The site opens with a visual representation of how a Cardoid, a one-cusped epicycloid, is made. The site then shows the parametric, Cartesian, and polar equation for the special epicycloid. The last half of the page gives more equations...
University of St. Andrews (UK)
University of St. Andrews: Curves: Epicycloid
Gives the parametric equation and a brief history.
Interactive Mathematics
Interactive Mathematics: Curvilinear Motion
Using parametric equations, velocity and acceleration values are determined for objects in curvilinear motion.
Wolfram Research
Wolfram Math World: Surface of Revolution
This math site from MathWorld.com explains what a surface of revolution is, a formula for the surface area of such a surface, this site contains many relevant links, examples. A standard parametric formula is given, formulas for...
Other
Xah Lee's Home Page: Ellipse
Good site with history, descriptions, properties, etc. of the Ellipse. This site gives the parmetric equation of an elipse and many interesting ways to find an ellipse in objects.
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.
Other
Git: What Is the Slope Intercept Form of a Line?
Not only does this site show what the slope-intercept form is, but it helps you find the slope and the intercept of a line. There is also additional information on parallel lines, parametric form, and the distance between two points.
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.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Curvas Y Superficies
In Spanish. This unit extends the model of Cartesian representation to three dimensional. You will be able to study interactively some curves and surfaces in space, its parametric and implicit equations.
CK-12 Foundation
Ck 12: Precalculus Concepts 2.0
A complete high school Precalculus Concepts course. Includes 'Related Modalities' for each lesson that teach the same concept in different ways. The text materials follows Algebra II and comes before Calculus or Statistics. The content...