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Curated OER
Conic Sections
Students, while using a graphing calculator, graph systems of conic sections as well as identify their solutions. They complete various word problems dealing with conic sections with their calculators. In addition, students sketch graphs...
Curated OER
Integration
In this calculus worksheet, students simplify integrals and solve problems that involve related rates and maximum and minimums. The one page worksheet contains twenty-three problems. Solutions are not provided.
California State University
Cal State, San Bernadino: Hyperbolas
An excellent site describing the equations for hyperbolas, including graphs of hyperbolic functions and multiple exercises for practice.
Wolfram Research
Wolfram 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...
Purple Math
Purplemath: Conics: Hyperbolas
A three-part tutorial that discusses the basic terms, definitions, and formulas related to hyperbolas.
Texas Education Agency
Texas Gateway: Graphing Conic Sections: Hyperbolas
Given an equation, the student will use parameter changes to graph a hyperbola and to identify the changes in the graph of a hyperbola.
Paul Dawkins
Paul's Online Notes: Algebra: Hyperbolas
Detailed math tutorial features notes and examples that take a look at the process of graphing hyperbolas.
University of Georgia
University of Georgia: Hyperbolas
A four-lesson tutorial on hyperbolas, the standard form for hyperbolic functions, and how to graph them. Includes a lesson quiz.
Other
Edwin's Animated Images: Hyperbola
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.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Hyperbolas
Twenty-four problems present a variety of practice working with hyperbolas. 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...
Discovery Education
Discovery Education: Web Math: Graphing Hyperbolas
WebMath offers a java applet that allows you to input information about hyperbolas in one of eight forms and gives you the graph of the hyperbola.
Khan Academy
Khan Academy: Foci of a Hyperbola From Equation
Given the equation of a hyperbola, find its foci. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Vertices and Direction of a Hyperbola
Given the equation of a hyperbola, find its graph by considering its vertices and direction. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Johan Claeys
Math Abundance: The Hyperbola
Great Site! Defines Hyperbola, gives the parametric equation, etc.
CK-12 Foundation
Ck 12: Analysis: Hyperbolas and Asymptotes
[Free Registration/Login may be required to access all resource tools.] In this lesson students learn about the asymptotes of hyperbolas. Students examine guided notes, review guided practice, watch instructional videos and attempt...
Math Words
Math words.com: Hyperbola
A definition for what a hyperbola is along with example diagrams of what horizontal and vertical hyperbolas are and gives the standard form equation.
Wolfram Research
Wolfram Math World: Rectangular Hyperbola
With this math site you will find the distinguishing characteristics of a rectangular hyperbola and other frequently used terms when referring to this special hyperbola. This site also gives formulas, pictures, and links.
University of Georgia
University of Georgia: Hyperbola
This site is a series of four comprehensive lessons on the hyperbola. The lesson contains examples and exercises. The site is easy to follow and contains an end of the lessons assessment activity and a quiz.
Khan Academy
Khan Academy: Equation of a Hyperbola From Features
Given some features of a hyperbola, find its equation. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Texas Instruments
Texas Instruments: Attribute of Triangles With Vertices on Equilateral Hyperbola
This activity illustrates the multiple representations of the attributes of triangles with their vertices on an equilateral hyperbola analytical, graphical and dynamic; addressing various conceptual levels of the students Using CAS.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: First Principle Hyperbolas
Dr. Math, in a reply to a student question, shows how to solve for the standard equation of a hyperbola.
CK-12 Foundation
Ck 12: Analysis: Hyperbola Equations and the Focal Property
[Free Registration/Login may be required to access all resource tools.] Students learn by exploring the focal property and graphing hyperbolas. Students examine guided notes, review guided practice, watch instructional videos and attempt...
McGraw Hill
Glencoe Mathematics: Online Study Tool: Self Check Quiz on Hyperbolas
The online assessment exhibits knowledge of advanced mathematical concepts in Trigonometry. The questions evaluate students on the topic of hyperbolas.
Analyze Math
Analyze Math: Equation of Hyperbola: Graphing Problems
Learners investigate the hyperbola equation. The tutorial examines intercepts, foci, and sketching hypberbolas. Examples with detailed solutions are included.
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