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Website
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Hyperbolic Geometry

For Students 9th - 10th Standards
Dr. Math, responds to a question fro a nineth grade stduent who wants to understand hyperbolic geometry. The Dr. uses descriptive analogies in attempts to unravel why triangles in hyperbolic geometry have less than 180 degrees in them.
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Handout
Wolfram Research

Wolfram Math World: Generalized Hyperbolic Functions

For Students 9th - 10th Standards
This site from MathWorld.com has information on the Hyperbolic functions. This site includes a definition which includes the derivative of such a function, the Euler formula for the function, its Laplace transform, and a list of the...
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Unit Plan
Sophia Learning

Sophia: Hyperboles

For Students 9th - 10th Standards
This tutorial focuses on the use of hyperbole; it defines the term and explains when it is used. It offers two video clips: the first demonstrates the use of hyperbole in song lyrics as it highlights them, and the second shows the use of...
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Handout
Math2

Math2.org: Hyperbolic Trigonometric Identities

For Students 9th - 10th
This site lists all the hyperbolic and inverse hyperbolic trigonometric definitions, and expresses the relations of the hyperbolic trigonometric fuctions to trigonometric functions.
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Activity
Math2

Math2.org: Proofs of Derivatives of Hyperbolics

For Students 9th - 10th
This site has proofs of derivatives of hyperbolic functions using various rules which may be viewed by clicking on the colored links.
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Handout
University College London

University College London: Introduction to Hyperbolic Functions

For Students 9th - 10th Standards
This is a brief introduction to hyperbolic functions. Contains a definition only, no graphics.
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Graphic
Math Medics

S.o.s. Math: Hyperbolic Functions

For Students 9th - 10th Standards
This lesson defines and explains hyperbolic functions. It has graphs and examples for the student to examine.
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Website
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Hyperbolic Functions

For Students 9th - 10th
In responding to a student question, Dr. Math provides a brief overview of hyperbolic functions.
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Activity
Math Medics

S.o.s. Math: Inverse Hyperbolic Functions

For Students 9th - 10th Standards
This tutorial shows step by step how the inverse of the hyperbolc cosine function is derived.
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Unit Plan
California State University

Cal State, San Bernadino: Hyperbolas

For Students 9th - 10th Standards
An excellent site describing the equations for hyperbolas, including graphs of hyperbolic functions and multiple exercises for practice.
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Activity
Wolfram Research

Wolfram Math World: Cosine

For Students 9th - 10th
Graphs of the cosine function, both 2-dimensional and 3-dimensional. Higher level mathematics applications given, including defining the hyperbolic cosine function, the cosine function as an infinite sum and infinite product, and more.
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Handout
Wolfram Research

Wolfram Math World: Hyperbolic Geometry

For Students 9th - 10th Standards
Hyperbolic Geometry is discussed here with specifics on the lines in this geometry. The equations of the lines are represented as well as a desription of the lines. The site has links to other non-Euclidean Geometries.
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Activity
University of Georgia

University of Georgia: Hyperbolas

For Students 9th - 10th Standards
A four-lesson tutorial on hyperbolas, the standard form for hyperbolic functions, and how to graph them. Includes a lesson quiz.
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Activity
Wolfram Research

Wolfram Math World: Double Angle Formulas

For Students 9th - 10th
Part of Eric Weisstein's comprehensive math site, this page deals with double-angle formulas. This site includes traditional trigonomic double-angle functions as well as hyperbolic trigonometric function. Includes links to related terms...
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Activity
Wolfram Research

Wolfram Math World: Half Angle Formulas

For Students 9th - 10th
This page, from Eric Weisstein's comprehensive Math World site, offers information on half-angle formulas. The site includes traditional trigonometric fuctions half-angle formulas as well as hyperbolic half-angle formulas. Includes links...
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Activity
Wolfram Research

Wolfram Math World: Sine

For Students 9th - 10th
MathWorld provides graphs of the sine function, both 2-dimensional and 3-dimensional. Higher level mathematical applications given, including the hyperbolic sine function, representation of the sine function as an infinite sum as well as...
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Lesson Plan
Broward Education Foundation

Broward Education Foundation: The Arts and Crafts of Storytelling [Pdf]

For Teachers 9th - 10th Standards
In the Arts and Crafts of Storytelling, American folk heroes come to life, help students expand their vocabulary and increase knowledge of figurative language. Students identify figurative language like similes, idioms and hyperboles....
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Activity
Math2

Math2.org: Table of Integrals

For Students 9th - 10th
Seven tables are provided which give the rules for integrating powers of x, exponential and logarithmic integrals, trigonometric integrals, and hyperbolic integrals. Very detailed step-by-step proofs are given for some of the more...
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Handout
Math2

Math2.org: Table of Derivatives

For Students 9th - 10th
A lengthy list of the rules of derivatives. Examples shown include the power of x derivatives, exponential and logarithmic derivatives, trigonometric derivatives, and hyperbolic derivatives. Several of the rules have their proofs...
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Activity
Wolfram Research

Wolfram Math World: Tangent

For Students 9th - 10th Standards
Graphs of the tangent function, both 2-dimensional and 3-dimensional. Higher level mathematics applications given including the hyperbolic tangent function, important relevant identities, the Macluarin series for the tangent function,...
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Activity
Math Medics

S.o.s. Math: Trigonometry

For Students 9th - 10th Standards
This lesson is the main SOS Math page for trigonometry. Surf the lesson to find most any trigonometric identity, formula, and many forms of help in the area of trigonometry.
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Unit Plan
Cuemath

Cuemath: Euclidean Geometry

For Students 9th - 10th Standards
Explore the world of Euclidean geometry by understanding euclidean and non-euclidean geometry, the postulates and axioms, and how to apply them while solving problems. Check-out the solved examples for better understanding and try your...
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Handout
Agnes Scott College

Agnes Scott College: Olga Alexandrovna Ladyzhenskaya

For Students 9th - 10th
Olga Alexandrovna Ladyzhenskaya (1922-2004) is profiled, who worked in linear, quasilinear, and nonlinear partial (and some ordinary) differential equations of elliptic, parabolic, and hyperbolic types, with some theoretical applications...
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Activity
Analyze Math

Analyze Math: Table of Integrals

For Students 9th - 10th
The resource consists of a table of indefinite integrals of functions. Formulas for elementary functions, trigonometric functions, exponential functions, and hyperbolic functions are included.

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