Activity
Texas Instruments

Texas Instruments: Conics as a Locus of Points

For Teachers 6th - 8th
Students investigate the definition of a parabola through one of its geometric definitions. They study conic sections. They examine an ellipse as a locus of points such that the sum of distances from the foci to the traced path is constant.
Lesson Plan
Science Education Resource Center at Carleton College

Serc: Conics and Reflection

For Teachers 9th - 10th Standards
Students investigate the reflective properties of the parabola, the ellipse, and the hyperbola. They will look at applications that relate to both the collection of incoming signals and signals that are emitted from a source and...
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Conicas

For Students 9th - 10th Standards
In Spanish. Learn more about the ellipse, hyperbola and the parabola with these interactive activities.
Handout
Other

Sierra College: Conics

For Students 9th - 10th Standards
Provides the locus of points, dominant axis and equation, discriminant, center, vertex, focus, directrix, and asymptotes for the parabola, the ellipse, and the hyperbola.
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.
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.
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...
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.
Handout
SUNY Empire State College

Empire State College: Ellipses

For Students 9th - 10th Standards
This resource contains information regarding the correct use of the ellipsis and examples.
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.
Activity
Paul Dawkins

Paul's Online Notes: Algebra: Common Graphs

For Students 9th - 10th Standards
Students investigate how to graph a wide variety of equations and functions. Topics explored are lines, rational functions, parabolas, ellipses, and transformations. Class notes, definitions, and examples with detailed solutions are...
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...
Activity
University of Illinois

University of Illinois Urbana Champaign: Chickscope Egg Math: The Shape of an Egg

For Students 9th - 10th
Drawing a perfect ellipse with pins and string is demonstrated with a java simulation.
Website
National Council of Teachers of Mathematics

The Math Forum: Perimeter of an Oval

For Students 9th - 10th
What seemingly ought to be straghtforward is not always the case. Dr. Math, in reply to a class question, points this out when discussing how to find the perimeter of an ellipse. Some links to websites that help with the computation are...
Website
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Equations of Conics

For Students 9th - 10th Standards
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.
Lesson Plan
Other

Sandburg Center for Sky Awareness: What Are the Shapes of the Planets' Orbits?

For Teachers 6th - 8th
In this lesson plan investigation pupils learn about the shapes of the planetary orbits by experimenting with ellipses of different proportions.
Graphic
Curated OER

Ellipse Conic

For Students 9th - 10th
An overview of the four types of conic sections is presented. The origin of how each conic is formed and a table of various characteritics specific to each type of conic is shown.
Graphic
Curated OER

Graph Ellipse (Horiz.)

For Students 9th - 10th
An overview of the four types of conic sections is presented. The origin of how each conic is formed and a table of various characteritics specific to each type of conic is shown.
Graphic
Curated OER

Graph Ellipse (Vert.)

For Students 9th - 10th
An overview of the four types of conic sections is presented. The origin of how each conic is formed and a table of various characteritics specific to each type of conic is shown.
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.
Activity
Other

Edwin's Animated Images: Hyperbola

For Students 9th - 10th Standards
This site 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.
Handout
Other

Semi Major Axis

For Students 9th - 10th
This site defines the semi-major axis and major axis of an ellipse.
Graphic
Curated OER

Directrix

For Students 9th - 10th
MathWorld delivers a brief definition of a focus, with diagrams showing the focus of an ellipse, a parabola, and a hyperbola.
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.

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