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Unit Plan
Mathematics Archives

Math Archives: Visual Calculus: Mean Value Theorem

For Students 9th - 10th
This site provides an explanation as well as formulas and examples of the mean value theorem.
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Handout
Florida State University

Florida State University: Science, Optics & You: Sir Isaac Newton

For Students 9th - 10th
Biography of Sir Isaac Newton (1642-1727), a scientist whose impact is felt in many disciplines today. His laws of motion are integral to basic physics, and he co-invented calculus.
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Activity
Harvey Mudd College

Harvey Mudd College: Fundamental Theorem of Calculus

For Students 9th - 10th
This site explains the fundamental theorem of calculus with examples.
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Handout
Harvey Mudd College

Mean Value Theorem: Proof of the Mean Value Theorem

For Students 9th - 10th
A proof of the mean value theorem is offered at this site.
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Handout
University of Illinois

University of Illinois: The Area Under a Curve

For Students 9th - 10th Standards
This site explains how to find the area under of a curve.
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Activity
University of Colorado

University of Colorado: Exponential, Trigonometric and Hyperbolic Functions

For Students 9th - 10th Standards
This site explains the Exponential, Trigonometric and Hyperbolic functions
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Unit Plan
Wolfram Research

Wolfram Math World: Lagrange Inversion Theorem

For Students 12th
This page briefly states the Lagrange Inversion Theorem, developed by French mathematician Joseph Louis Lagrange. Includes complicated equations, formulas, and a bibliography.
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Activity
Wolfram Research

Wolfram Science World: Cl Circuit

For Students 9th - 10th
Shows how simple harmonic motion is used in a circuit comprised of an inductor and a capacitor. Includes detailed formula derivation utilizing calculus.
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Handout
Stanford University

Stanford University: Overview of Leibniz

For Students 9th - 10th
This site outlines Gottfried Wilhelm Leibniz's life. Categories include principal works, Leibniz's life, Leibniz's contributions to philosophy, and further readings.
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Graphic
Texas A&M University

Texas A&m University: Moments of Inertia

For Students 9th - 10th
This site is from the Math department of the Texas A&M University and contains wonderful information on Centers of mass and moments of inertia. Pictures, charts, graphs along with great text is all included.
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Handout
Rice University

Galileo Project: Johann Bernoulli

For Students 9th - 10th
This site from The Galileo Project of Rice University provides a brief profile of Johann Bernoulli. The information is set up in a list format, covering topics such as: dates, father, nationality, education, religion, and scientific...
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Handout
Wolfram Research

Wolfram Math World: Fermat's Last Theorem

For Students 9th - 10th
Very detailed and comprehensive site from MathWorld.com about Fermat's Last Theorem. This site has good explanantions and links to related topics.
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Handout
University of Michigan

University of Michigan: The Mathematics of Basic Pumping Well Hydraulics

For Students 9th - 10th
Discusses the mathematics involved in basic pumping well hydraulics. Includes a section dealing with the steady state solution.
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Activity
Windstream

Ojk's Pre Calculus Study Page

For Students 9th - 10th
This online tutorial explains different topics in pre-calculus. Offers helpful information to explain different concepts. Good for review.
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Website
University of Toronto (Canada)

University of Toronto Mathematics: Is There Really Such a Thing as "Infinity"?

For Students 9th - 10th
See how the existence of infinity depends on the context in which it is used. Offers a look at the concept of infinity from different view points.
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Graphic
University of Guelph

University of Guelph: Physics Tutorials: Moment of Inertia

For Students 9th - 10th
This site has a list of moments of inertia for various objects.
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Handout
Richland Community College

Richland Community College: Exponential Functions and Their Graphs

For Students 9th - 10th Standards
The site explains exponential functions and characteristics of their graphs.
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Handout
Wolfram Research

Wolfram Math World: Fundamental Theorem of Calculus

For Students 9th - 10th
This MathWorld site offers an explanation of the fundamental theorem of calculus includes links to other relevant information.
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Handout
Richland Community College

Richland Community College: Mathematical Information

For Students 9th - 10th
This site, which is provided for by the Richland Community College, explains the several mathematical theorems.
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Handout
Wolfram Research

Wolfram Math World: Calculus and Analysis

For Students 9th - 10th
Over two dozen links are provided at this MathWorld site. From Polynomials and Series to Dynamical Systems and Catastrophe Theory, each link provides in-depth explanations and relevant diagrams of the topics at hand.
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Handout
University of California

University of California, Davis: The Calculus Page

For Students 9th - 10th Standards
This site, from the University of California, provides several problems from beginning differential calculus, as well as beginning integral calculus. The problems can be accessed by clicking on the link, and the information provided is...
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Handout
Washington State University

Washington State University: Power Series and Convergence: Power Series Review [Pdf]

For Students 9th - 10th
This PDF reviews the various power series and explains convergence.
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Handout
University of Maryland

Evaluating Double Integrals

For Students 9th - 10th
Comprehensive resource that explains the Double Integral.
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Activity
Texas Instruments

Texas Instruments: Calculus With the Ti 89

For Teachers 9th - 10th
In this Computer Algebra System (CAS) activity, students will explore the concept of limits of functions, and use CAS to demonstrate the definition of derivative.