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.
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.
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
Other

The Krell Institute: Project: Rotation of Axes

For Students 9th - 10th
This resource provides an explanation of the equation for rotation of axes with conic sections includes an example with an ellipse.
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.
Handout
National Council of Teachers of Mathematics

The Math Forum: Conic Basics

For Students 9th - 10th
A written description of the different conic sections is described at this site from the Math Forum. The description identifies the importance of the eccentricity in determining the type of conic.
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,...
Activity
Other

Gobierno De Navarra: Estudio De Las Conicas

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

Math Words: Degenerate Conic Sections

For Students 9th - 10th
A brief definition of what degenerate conic sections are along with a picture.
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
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...
Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Cross Sections

For Teachers 9th - 10th Standards
This instructional activity utilizes the concepts of cross-sections of three-dimensional figures to demonstrate the derivation of two-dimensional shapes.
Unit Plan
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Conic Sections and Parallel Li

For Students 9th - 10th
This question and answer site from Dr. Math at the Math Forum looks at the situation of cutting a cone with a plane to get parallel lines. Can this be done?
Website
National Council of Teachers of Mathematics

The Math Forum: Everyday Appearances of Conics

For Students 9th - 10th Standards
Just getting started with conics and you need some examples of where they occur? Check out Dr. Math's reply to such a question.
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.
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Conicas: Esferas De Dandelin

For Students 9th - 10th Standards
Conics are planar curves obtained by intersecting a cone with a plane. In this unit you will be able to visually interactively the different conic sections.
Graphic
Other

Conic Sections

For Students 9th - 10th Standards
The site delves into the history, description, properties, etc.
Lesson Plan
Alabama Learning Exchange

Alex: Conic Sections: Playing With Parabolas

For Teachers 9th - 10th Standards
Through a mixture of online exploration, and teacher instruction, students will discover how parabolas are formed and will be able to use the key components from a graph (vertex, focus and directrix,) to generate the equation of a graph.
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...
Handout
Wolfram Research

Wolfram Math World: Eccentricity

For Students 9th - 10th Standards
This site explains eccentricity, the quantity defined by a conic section to determine its type of conic section. Has links to related topics.

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