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Curated OER
Worksheet 21 Spring 1996
In this math worksheet, students consider a path around the unit circle parameterized by σ on the interval [0, 1] with σ(t) = sin(5πt − π), cos(5πt − π). Then they find the vector.
Khan Academy
Khan Academy: Equation of an Ellipse From Features
Given the foci of an ellipse (and some other feature), find its equation. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Foci of an Ellipse From Equation
Given the equation of an ellipse, find its foci. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
CK-12 Foundation
Ck 12: Analysis: Equation of an Ellipse
[Free Registration/Login may be required to access all resource tools.] In this lesson students are provided with an introduction to conic sections and sketching ellipses. Students examine guided notes, review guided practice, watch...
Khan Academy
Khan Academy: Center & Radii of Ellipses From Equation
In this four-question quiz, find the center and major and minor radius of an ellipse given its equation.
Analyze Math
Analyze Math: Equation of Ellipse
Learners investigate the ellipse equation. The tutorial examines intercepts, foci, sketching ellipses, major axes,and minor axes. Examples with detailed solutions are included.
Khan Academy
Khan Academy: Center and Radii of Ellipses From Equation
Find the center and major and minor radius of an ellipse given its equation. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Wolfram Research
Wolfram Math World: The Ellipse
This site explain ellipse how they are formed with the foci, and gives a nice moving demonstration of drawing an ellipse. Read further down the page to equations of ellipses in different systems, including polar. The last half of the...
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.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Equations of Conics
Posed with a student question about equations of conics, Dr. Math provides some insight on the standard form of parabolas, ellipses, and hyperbolas. One example is shown.
Integrated Publishing
Web Algebra: The Ellipse
A lengthy example on how to formulate the equation of an ellipse.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Ellipses
Thirty problems present a variety of practice working with ellipses. 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" button to check each...
Texas Education Agency
Texas Gateway: Graphing Conic Sections: Ellipses
Given an equation, the student will use parameter changes to graph an ellipse and to identify the changes in the graph of an ellipse.
Math Words
Math words.com: Ellipse
Brief definition for ellipse. The standard form for the equation of an ellipse is given also.
National Council of Teachers of Mathematics
The Math Forum: Analytic Geometry Formulas, Ellipses
A brief overview from the Math Forum on calculating various measures of segments, like major and minor axes and distance from focus to center, is given. Additionally, equations of ellipse in general and standard forms are listed.
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.
Texas Instruments
Texas Instruments: Swinging Ellipses: Plotting an Ellipse
In this activity, Students can use a motion detector to record the position and velocity of a swinging pendulum. They will plot the data as a velocity versus position phase plot and determine an ellipse that fits it.
University of Illinois
University of Illinois Urbana Champaign: Egg Math Axis of Symmetry
Uses an egg to demonstrate the concept of axis of symmetry. Put your cursor over the picture to "move" around the egg. Offers links to related concepts, including Cartesian Ovals and Ovals of Cassini.
Khan Academy
Khan Academy: Ellipse Standard Equation and Graph
Given the graph of an ellipse, find its equation, and vice versa. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Discovery Education
Discovery Education: Web Math: Graphing Ellipses
WebMath offers a java applet that allows you to input information about an ellipse, in one of four forms, and gives you the graph of the ellipse.
University of St. Andrews (UK)
University of St. Andrews: Ellipse
The University of St. Andrews offers a comprehensive and detailed site explaining the ellipse.
Purple Math
Purplemath: Conics: An Overview
Introduces the basics of conics in algebra, including a flow-chart for determining which sort of conic is represented by a given equation.
CK-12 Foundation
Ck 12: Analysis: General Forms of Conic Sections
[Free Registration/Login may be required to access all resource tools.] In this lesson students review the general forms of conic section equations, identifying conic sections from their equations. Students examine guided notes, review...
CK-12 Foundation
Ck 12: Analysis: General Forms of Conic Sections
[Free Registration/Login may be required to access all resource tools.] This lesson covers changing a general second-degree equation into the standard form of a parabola, ellipse, circle or hyperbola. Students examine guided notes,...