Curated OER
Conic Sections
Students, while using a graphing calculator, graph systems of conic sections as well as identify their solutions. They complete various word problems dealing with conic sections with their calculators. In addition, students sketch graphs...
Curated OER
Worksheet 2 - Spring 1996
In this math worksheet, students state the two fundamental laws of Calculus. Then they investigate finding the area of a rock in cross-sectional pieces.
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.
Curated OER
Johannes Kepler
In this online interactive history worksheet, students respond to 10 short answer and essay questions about the achievements of Johannes Kepler. Students may check some of their answers on the interactive worksheet.
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...
Purple Math
Purplemath: Completing the Square: Ellipses Equations
Demonstrates step-by-step how to complete the square for ellipses and hyperbolas. Includes several charts and graphs for understanding.
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.
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.
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.
Purple Math
Purplemath: Conics: Ellipses: Introduction
Introduces the basic terms, variables, and equations for ellipses, and discusses their physical properties.
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.
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.
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.
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.
Integrated Publishing
Web Algebra: The Ellipse
A lengthy example on how to formulate the equation of an ellipse.
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: 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.
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.
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...
University of St. Andrews (UK)
University of St. Andrews: Ellipse
The University of St. Andrews offers a comprehensive and detailed site explaining the 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: 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.