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University of Illinois
University of Illinois Urbana Champaign: Chickscope Egg Math: The Shape of an Egg
Drawing a perfect ellipse with pins and string is demonstrated with a java simulation.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Ellipse or Circle? Parametric Equation
Dr. Math, in reply to a student question, shows how a specific pair of parametric equations produces a circle as opposed to an ellipse.
University of Saskatchewan (Canada)
University of Saskatchewan: Circles and Other Conics
Gives brief description and standard equations for the four conic sections. Includes pictures, examples, and practice problems.
Physics Classroom
The Physics Classroom: Mathematics of Satellite Motion
The mathematics associated with the motion of satellites is described. Equations (for period, velocity, acceleration and force) are stated, symbols described, and sample problems solved. Includes five practice problems with solutions and...
Other
The Krell Institute: Project: Rotation of Axes
This resource provides an explanation of the equation for rotation of axes with conic sections includes an example with an ellipse.
University of Illinois
University of Illinois Urbana Champaign: Chickscope Egg Math: Equations for an Ellipse
Investigation and discussion of the way "Pin and string construction," works in producing an ellipse. Works through the corresponding equations in a well-ordered way.
Math Words
Math words.com: Foci of an Ellipse
The definition for foci for an ellipse is given and the definition for ellipse is given. Also gives a diagram and the equation for an ellipse in standard form.
Other
Platonic Realms: Function
Resource provides an introduction to conics. A picture of each conic, the definition, and a brief discussion about the standard form of conic equations are given, along with encouragement to master conics.
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.
Curated OER
Drawing of Ellipse
Investigation and discussion of the way "Pin and string construction," works in producing an ellipse. Works through the corresponding equations in a well-ordered way.
National Council of Teachers of Mathematics
The Math Forum: Circles
Various forms of equations of circles are presented at the Math Forum: center-radius form, general form, diameter form, three-point form, and parametric form.
Texas Instruments
Texas Instruments: Conic Sections
These questions ask students to write the equations of conic sections given a variety of information. Students are also asked to find the foci of an ellipse and the asymptotes of a hyperbola. Solutions and explanations are included.
Sophia Learning
Sophia: Finding the Equation for an Ellipse: Lesson 2
This lesson explains the steps for how to find the equation for an ellipse given its foci and vertices. It is 2 of 4 in the series titled "Finding The Equation For An Ellipse."
Sophia Learning
Sophia: Finding the Equation for an Ellipse: Lesson 1
This brief lesson shows how to find the equation for an ellipse given its foci and vertices and presents a problem to try. Includes a short quiz. It is 1 of 4 in the series titled "Finding The Equation For An Ellipse."
Discovery Education
Discovery Education: Web Math: Plots and Geometry
This site provides descriptions and helpful hints regarding conic sections - circles, parabolas, ellipses, and hyperbolas. Content also includes interactive problem solvers complete with a full analysis of the math behind the answer.
University of Illinois
University of Illinois Urbana Champaign: Chickscope Eggmath: The Shape of an Egg
An interactive page offering a view of a rotating egg, information on rotational symmetry, and definitions of related topics.
Curated OER
Graphing Ellipses
This WebMath site shows how to graph ellipses. Click on the form of ellipse equation you need to plot the ellipse.
Curated OER
Graphing Ellipses
This WebMath site shows how to graph ellipses. Click on the form of ellipse equation you need to plot the ellipse.
Curated OER
Graphing Ellipses
This WebMath site shows how to graph ellipses. Click on the form of ellipse equation you need to plot the ellipse.
Curated OER
Graphing Ellipses
This WebMath site shows how to graph ellipses. Click on the form of ellipse equation you need to plot the ellipse.
Other
Edwin's Animated Images: Hyperbola
This animated tutorial gives the focus/directrix definition of a conic. Also includes specific definition for the parabola, ellipse, and hyperbola. Includes equations for the conics in both rectangular and polar coordinates.
NASA
Nasa: Kepler's Third Law
This site from NASA states Kepler's third law of motion and extends it to develop an equation for the velocity of an orbiting planet.
Math Words
Math words.com: Conic Sections
Examples of conic sections are given and the equation for their standard form is also given.
Other
Sierra College: Conics
Provides the locus of points, dominant axis and equation, discriminant, center, vertex, focus, directrix, and asymptotes for the parabola, the ellipse, and the hyperbola.