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Lesson Plan
Curated OER

College Level Study Guide

For Teachers 11th - Higher Ed
In this study guide worksheet, students examine and complete questions that are similar to the college Accuplacer College Level Math test. This worksheet includes, but is not limited to, factoring and expanding polynomials, simplifying...
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Lesson Plan
Curated OER

Cross Sections

For Teachers 6th - 10th
Young visual learners explore different cross sections of 3-dimensional objects. First, cross sections of cubes are explored by using an interactive flash activity. This is then extended by looking at cross sections of spheres,...
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Worksheet
Curated OER

Eccentricity of Conic Sections

For Students 11th
In this conic sections worksheet, 11th graders solve and complete 26 various types of problems. First, they identify the eccentricity of each equation shown. Then, students use the information provided to write the standard form equation...
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Lesson Plan
Curated OER

Parabola

For Teachers 8th - 9th
Students complete a worksheet and explore the parabola conic section during a web based activitiy. They answer questions based on their work as they make changes in the features of the parabola.
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Activity
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.
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Handout
Wolfram Research

Wolfram Math World: Hyperbola

For Students 9th - 10th Standards
This site contains a vast amount of information relating to the hyperbola, including the definition of a hyperbola, equations in various systems, including polar, and many important characteristics of hyperbolas. Site also provides many...
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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.
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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.
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Activity
Other

Edwin's Animated Images: Hyperbola

For Students 9th - 10th Standards
This animated tutorial 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.
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Handout
Paul Dawkins

Paul's Online Notes: Algebra: Hyperbolas

For Students 9th - 10th
Detailed math tutorial features notes and examples that take a look at the process of graphing hyperbolas.
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Unit Plan
Wolfram Research

Wolfram Math World: The Ellipse

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

Ck 12: Analysis: Parabolas and Analytic Geometry

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students gain an understanding of parabolas using analytic geometry, by exploring guided notes, watching a video and attempting practice problems.
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Activity
Purple Math

Purplemath: Completing the Square: Ellipses Equations

For Students 9th - 10th Standards
Demonstrates step-by-step how to complete the square for ellipses and hyperbolas. Includes several charts and graphs for understanding.
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Activity
Purple Math

Purplemath: Completing the Square: Finding the Vertex

For Students 9th - 10th Standards
Demonstrates step-by-step how to complete the square to find the vertex of a parabola. Thorough descriptions of each problem.
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Equation of an Ellipse

For Students 11th - 12th
[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...
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Activity
Other

Gobierno De Navarra: Estudio De Las Conicas

For Students 9th - 10th Standards
Learn about conics sections with these interactive activities.