Lesson Plan
Curated OER

Ellipse

For Teachers 3rd - 5th
Students explore the concept of ellipses including finding the center, vertices's, foci and eccentricity. They assess how to graph elliptical functions and solve application problems involving ellipses. This assignment is to be completed...
Lesson Plan
Curated OER

Ellipse

For Teachers 9th - 12th
Students find the center, vertices, foci, and eccentricity of ellipses using the subscriptions website www.explorelearning.com. They graph elliptical functions and solve application problems involving ellipses.
Lesson Plan
Curated OER

Ellipses And Kepler's First Law

For Teachers 9th - 12th
Students explain that planets actually orbit the center of gravity of the solar system, and that distant planets may be detected by motions of their central star around the centers of gravity of their planetary systems.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Conic Sections

For Students 9th - 10th Standards
Hotmath provides 26 practice problems relating to conic sections. Each of the practice problems include a step-by-step guide for solving their conic.
eBook
CK-12 Foundation

Ck 12: Interactive Geometry: 10.1 Conic Sections

For Students 9th - 10th Standards
The conic sections are the cross-sections of a double-napped cone. Depending on the angle of the plane with respect to the cone, a conic section may be a circle, an ellipse, a parabola, or a hyperbola.
eBook
Mathigon

Mathigon: Geometry: Circle and Pi: Conic Sections

For Students 9th - 10th
The circle is one of four different shapes which can be created using "slices" through a cone, a 3-dimensional solid that has a circular base joined to a single point (called the vertex) by a curved side. If you tilt a cone, you get an...
Handout
Other

Platonic Realms: Conics

For Students 9th - 10th Standards
This resource provides in depth information on the conic sections. Click on the underlined words for definitions and diagrams.
Graphic
Wolfram Research

Wolfram Alpha: Conic Sections

For Students 9th - 10th Standards
The resource consists of a geometry animation that shows conic sections.
Handout
University of Saskatchewan (Canada)

University of Saskatchewan: Circles and Other Conics

For Students 9th - 10th Standards
Gives brief description and standard equations for the four conic sections. Includes pictures, examples, and practice problems.
Activity
Texas Instruments

Texas Instruments: Conic Equations

For Teachers 9th - 10th Standards
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.
Activity
Shodor Education Foundation

Shodor Interactivate: Conic Flyer

For Students 9th - 10th
"This applet allows the user to create graphs of conic sections. Using slider bars, one can manipulate the function to change the constant values and view the effects of those changes."
Website
Discovery Education

Discovery Education: Web Math: Plots and Geometry

For Students 9th - 10th Standards
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.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: General Forms of Conic Sections

For Students 9th - 10th Standards
[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,...
Unit Plan
Sophia Learning

Sophia: Equation of a Circle: Introduction

For Students 9th - 10th Standards
Follow along with this tutorial to explore writing equations of a circle.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Conic Sections

For Students 9th - 10th Standards
Students can investigate the graphs of conic sections in standard form. Cirlce, ellipse, and hyperbola graphs are included.
Handout
Math Words

Math words.com: Conic Sections

For Students 9th - 10th Standards
Examples of conic sections are given and the equation for their standard form is also given.
Website
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Ellipse or Circle? Parametric Equation

For Students 9th - 10th Standards
Dr. Math, in reply to a student question, shows how a specific pair of parametric equations produces a circle as opposed to an ellipse.
Activity
University of Michigan

Virtual Conics

For Students 9th - 10th Standards
You may have to download first, but the two VRML icons near the bottom of the page allow you to observe the plane intersecting the cone to form the conic. Controls are present to change the angle of the plane and your view of the...
Website
National Council of Teachers of Mathematics

The Math Forum: Conic Sections/circles

For Students 9th - 10th Standards
This site provides a catalog of Web sites and Web pages that deal with circles.
Activity
University of Saskatchewan (Canada)

University of Saskatchewan: Geometry

For Students 9th - 10th Standards
The University of Saskatchewan's Department of Mathematics and Statistics provides high school students with online tutorials and exercises on what they deem some of the most important topics in geometry: Triangles, and Circles and Other...
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Circles in the Coordinate Plane

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students find the standard equation of a circle. Students examine guided notes, review guided practice, watch instructional videos and attempt...
Unknown Type
Khan Academy

Khan Academy: Write Standard Equation of a Circle

For Students 9th - 10th Standards
Given the graph of a circle or its features, practice finding its standard equation.
Activity
Texas Instruments

Texas Instruments: Conics

For Teachers 9th - 10th Standards
Three Learning Check documents on the various characteristics of parabolas, circles, ellipses, and hyperbolas.
Unknown Type
Khan Academy

Khan Academy: Write Standard Equation of a Circle

For Students 9th - 10th Standards
Given the graph of a circle or its features, find its standard equation. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.