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Math Words
Math words.com: Foci, Hyperbola
An explanation of what the foci is as it relates to hyperbolas. An accompanying illustration is also included.
National Council of Teachers of Mathematics
The Math Forum: Analytic Geometry Formulas, Hyperbolas
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,...
Other
Edwin's Animated Images: Hyperbola
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.
University of St. Andrews (UK)
University of St. Andrews: Hyperbola
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.
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Hyperbolas
Find a quick, concise explanation of hyperbolas. An example is given and clearly explained.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Deriving the Hyperbola Formula
Dr. Math tackles a question about deriving the formula for a hyperbola posed by a student.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching a Hyperbola [Pdf]
The practice exercise has students sketch a hyperbola. The handout is available in PDF format.
Alabama Learning Exchange
Alex: Conic Sections: Playing With Hyperbolas
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.
Wolfram Research
Wolfram Math World: Hyperboloid
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...
Wikimedia
Wikipedia: Hyperbola
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.
Curated OER
University of St Andrews: Hyperbola
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.
Curated OER
Math World: Hyperbola
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...
Math Words
Math words.com: Vertices, Hyperbola
A basic definition for what the vertices on a hyperbola are.
Other
Platonic Realms: Function
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.
University of St. Andrews (UK)
University of St. Andrews: Francois Viete
The University of St. Andrews offers this iography of Francois Viete. Many links are provided for more information.
Purple Math
Purplemath: Completing the Square: Ellipses Equations
Demonstrates step-by-step how to complete the square for ellipses and hyperbolas. Includes several charts and graphs for understanding.
Texas Instruments
Texas Instruments: Conic Sections
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.
Texas Instruments
Texas Instruments: Conic Equations
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.
Science Education Resource Center at Carleton College
Serc: Conics and Reflection
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...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Conicas
In Spanish. Learn more about the ellipse, hyperbola and the parabola with these interactive activities.
Other
Sierra College: Conics
Provides the locus of points, dominant axis and equation, discriminant, center, vertex, focus, directrix, and asymptotes for the parabola, the ellipse, and the hyperbola.
Wolfram Research
Wolfram Mathworld: Conic Section Directrix
Explains how the directrix relates to the three conic sections: parabola, ellipse, and hyperbola. Includes a definition, formulas, and links to related topics.
Discovery Education
Discovery Education: Web Math: Plots and Geometry
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.
Varsity Tutors
Varsity Tutors: Hotmath: Conic Sections
Students can investigate the graphs of conic sections in standard form. Cirlce, ellipse, and hyperbola graphs are included.
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