Activity
Math Words

Math words.com: Foci, Hyperbola

For Students 9th - 10th Standards
An explanation of what the foci is as it relates to hyperbolas. An accompanying illustration is also included.
Handout
National Council of Teachers of Mathematics

The Math Forum: Analytic Geometry Formulas, Hyperbolas

For Students 9th - 10th Standards
At this site from the Math Forum, a brief overview on calculating various measures of segments, like the transverse and conjugate axes and the distance between foci, is given. Additionally, equations of hyperbolas in general, standard,...
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
University of St. Andrews (UK)

University of St. Andrews: Hyperbola

For Students 9th - 10th Standards
This University of St. Andrews site gives the parametric and cartesian equation for a hyperbola along with an example graph. The site offers links to related curves.
Handout
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Hyperbolas

For Students 9th - 10th Standards
Find a quick, concise explanation of hyperbolas. An example is given and clearly explained.
Website
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Deriving the Hyperbola Formula

For Students 9th - 10th Standards
Dr. Math tackles a question about deriving the formula for a hyperbola posed by a student.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Sketching a Hyperbola [Pdf]

For Students 9th - 10th
The practice exercise has students sketch a hyperbola. The handout is available in PDF format.
Lesson Plan
Alabama Learning Exchange

Alex: Conic Sections: Playing With Hyperbolas

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

Wolfram Math World: Hyperboloid

For Students 9th - 10th
This Math World site explains how the hyperboloid is created from a hyperbola, illustrated with graphs. The site then goes into detail giving the parametric and cartesian equations for a one sheeted hyperboloid and then the two sheeted...
Handout
Wikimedia

Wikipedia: Hyperbola

For Students 9th - 10th
This site from the Wikipedia encyclopedia has formulas and examples of hyperbolas. A detailed graph and several formulas and examples are given along with several links to additional information on related subjects.
Graphic
Curated OER

University of St Andrews: Hyperbola

For Students 9th - 10th
This University of St. Andrews site gives the parametric and cartesian equation for a hyperbola along with an example graph. The site offers links to related curves.
Graphic
Curated OER

Math World: Hyperbola

For Students 9th - 10th
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...
Handout
Math Words

Math words.com: Vertices, Hyperbola

For Students 9th - 10th
A basic definition for what the vertices on a hyperbola are.
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
University of St. Andrews (UK)

University of St. Andrews: Francois Viete

For Students 9th - 10th
The University of St. Andrews offers this iography of Francois Viete. Many links are provided for more information.
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.
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.
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.
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.
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.

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