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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.
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.
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.
Shodor Education Foundation
Shodor Interactivate: Conic Flyer
"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."
Curated OER
Graph Hyperbola (Horiz.)
An overview of the four types of conic sections is presented. The origin of how each conic is formed and a table of various characteritics specific to each type of conic is shown.
Curated OER
Graph Hyperbola (Vert.)
An overview of the four types of conic sections is presented. The origin of how each conic is formed and a table of various characteritics specific to each type of conic is shown.
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.
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 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.
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.
Curated OER
Zona Land
Site explains asymptotes well using reciprocal function as example. Points out weaknesses that technology has when graphs are close to asymptotes.
Other
Xaktly: Rational Functions
On this site students explore the concept of rational functions. The site begins by looking at the parent function for all rational functions, which is a hyperbola. The other topics that are covered on the tutorial include horizontal...
National Council of Teachers of Mathematics
The Math Forum: Analytic Geometry: Polar Coordinates
This site from The Math Forum provides great information on polar coordinates. You can access this information either by clicking on the coordinates link or just scrolling down, it is the first one listed on the page. Includes several...
Curated OER
Hyperbola Conic
An overview of the four types of conic sections is presented. The origin of how each conic is formed and a table of various characteritics specific to each type of conic is shown.
Wolfram Research
Wolfram Math World: Focus
An explanation for the focus in conic sections along with diagrams. Site provides graphs, references, and a brief bibliography and citation.