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Mathematics Archives

Math Archives: Eccentricity in Polar Conics

For Students 9th - 10th Standards
Good site explaining Eccentricity in Polar Conics. The site is quite detailed.
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.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: General Form for Conic Sections

For Students 9th - 10th Standards
Students investigate the general form of the equation for a conic section. This interactive tool evaluates the changes that occur from using different coefficients in the equation.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: General Forms of Conic Sections

For Students 9th - 10th
[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...
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.
Activity
Math Is Fun

Math Is Fun: Conic Sections

For Students 9th - 10th Standards
Students learn about conic sections. Topics include eccentricity, directrix, and the general equation. The tutorial consists of notes, examples, and practice problems to check for comprehension.
Website
National Council of Teachers of Mathematics

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

For Students 9th - 10th Standards
Wondering who uses conics and where they occur in our lives? Dr. Math provides some answers to how math concepts involving conic sections, perabolas, hyperbolas, and ellipses are applied practically.
Handout
Wolfram Research

Wolfram Math World: Conic Sections

For Students 9th - 10th Standards
A fairly comprehensive look at various types of conic sections is presented. Most of the information is presented as introductory, with an emphasis on terminology. Through an understanding of the terminology, one can understand the...
Website
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: The Origins of Conic Sections

For Students 9th - 10th
Dr. Math, in reply to a student question, gives background information on the origin of conic sections. Links also are included for further information.
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."
Unit Plan
National Council of Teachers of Mathematics

The Math Forum: Parallel Lines and Conic Sections

For Students 9th - 10th
Dr. Math and a couple of students discuss the possibility of whether parallel lines can be constructed as a degenerate case of conics.
Activity
Texas Instruments

Texas Instruments: Conic Sections

For Teachers 9th - 10th Standards
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.
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
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...
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.
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...
Unknown Type
McGraw Hill

Glencoe: Quiz on the Rectangular and Parametric Form of Conic Sections

For Students 9th - 10th Standards
The online assessment demonstrates understanding of advanced mathematical concepts in Trigonometry. The questions assess students on the rectangular and parametric form of conic sections.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Translations of Conics

For Students 9th - 10th
Eighteen problems offer practice working with translations of conics. 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...
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
Shodor Education Foundation

Shodor Interactivate: Conic Flyer Equations

For Teachers 9th - 10th Standards
Introduces students to a geometric derivation of the conic sections.
Handout
Purple Math

Purplemath: Conics: An Overview

For Students 9th - 10th Standards
Introduces the basics of conics in algebra, including a flow-chart for determining which sort of conic is represented by a given equation.
Handout
Other

Platonic Realms: Function

For Students 9th - 10th Standards
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.
Graphic
Wolfram Research

Wolfram Alpha: Conic Sections

For Students 9th - 10th Standards
The resource consists of a geometry animation that shows conic sections.
Handout
Wolfram Research

Wolfram Mathworld: Conic Section Directrix

For Students 9th - 10th Standards
Explains how the directrix relates to the three conic sections: parabola, ellipse, and hyperbola. Includes a definition, formulas, and links to related topics.

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