National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Constructing an Ellipse
Dr. Math, in a reply to a student question, mentions how you can construct an ellipse using string and thumbtacks.
![Houghton Mifflin: Math Graphs: Sketching an Ellipse [Pdf] Unknown Type](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Houghton Mifflin: Math Graphs: Sketching an Ellipse [Pdf] Unknown Type")
Math Graphs
Houghton Mifflin: Math Graphs: Sketching an Ellipse [Pdf]
The practice exercise has students sketch an ellipse. The handout is available in PDF format.
Math Words
Math words.com: Vertices, Ellipse
Basic definition for the vertex of an ellipse. Shown in a pictoral example as well.
Boston University
Bu: How Does a Satellite Stay in Orbit
This site contains a lesson on the ellipse. The lesson has students draw an ellipse with pencil and string, and discussions on orbits and theoretical orbiting situations.
Wolfram Research
Wolfram Mathworld: Astroid
Find out how an astroid is related to the ellipse at this math page. This page starts with describing how an astroid may be created easily with two concentric circles with a given ratio, the site then goes into details regarding the...
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.
Curated OER
Ellipse Construction
This site from MathWorld is a good site explaining the ellipse that is in-depth and complete with pictures, charts, formulas and examples. A helpful, and informative site on the subject. Links are also provided for additional information.
Curated OER
Image of Ellipse Applet
Drawing a perfect ellipse with pins and string is demonstrated with a java simulation.
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.
Curated OER
University of St Andrews: Ellipse
The University of St. Andrews offers a comprehensive and detailed site explaining 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.
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
Ma Ttours Definitions of Ellipse Terms Foci
Basic definitions are given for foci, focus, and other terms related to the focus (foci).
Curated OER
Zona Land: Conic Sections the Ellipse
View a simple graph of an ellipse and a photo showing how the ellipse intersects a cone.
Curated OER
Zona Land: Conic Sections the Ellipse
View a simple graph of an ellipse and a photo showing how the ellipse intersects a cone.
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.
Texas Instruments
Texas Instruments: Numb3 Rs: Waxing Elliptical
Based off of the hit television show NUMB3RS, this lesson introduces students to the ellipse, especially it's foci. Students create an ellipse on wax paper by repeatedly folding a circle to meet a chosen internal point. When finished,...
NASA
Nasa: Kepler and His Laws
This site from NASA provides biographical details about the lives of Tycho Brahe and Johannes Kepler. Discusses Kepler's successes at developing laws of planeatry motion. States the three laws and discusses each one individually....
Texas Instruments
Texas Instruments: Numb3 Rs: Getting in Focus
In an episode of "Numb3rs" called "Harvest," Charlie figures out that an ambulance did not travel in a straight line. Knowing the starting point and the ending point (the foci), Charlie finds the ellipse that shows all the possible...
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.
Texas Instruments
Texas Instruments: Conic Equations
This Learn Check file is a review of writing conic sections given the graph of a conic section. Students are asked to use the graphs to write the equations for a ellipse, circle, parabola, and hyperbola.
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