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Study Guide
Department of Defense

Do Dea: Ap Calculus

For Students 9th - 10th
View xplanations and examples using the Fundamental Theorem of Calculus. Great review for the AP Calculus test!
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Handout
Wolfram Research

Wolfram Math World: Improper Integrals

For Students 9th - 10th
Good site from Mathworld.com explaining Improper Integrals. Includes formulas, examples, and links to related sites.
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Whiteboard
ClassFlow

Class Flow: Integration by Substitution and Pattern Recognition

For Teachers 9th - 10th
[Free Registration/Login Required] Two different techniques for integrating composite functions, pattern recognition and change of variables, are discussed using a process called u-substitution. This pattern recognition uses both of the...
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Activity
Mathematics Archives

Math Archives: Visual Calculus: Arc Length

For Students 9th - 10th
This site explains the arc length. The site has links to related topics and examples.
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Activity
Harvey Mudd College

Harvey Mudd College: Special Trigonometric Integrals

For Students 9th - 10th
Proves that the cos and sin functions form an orthogonal set, as it applies to Fourier series.
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Activity
Texas Instruments

Texas Instruments: Integration Crossing

For Teachers 9th - 10th
This worksheet allows the students the opportunity to learn how to use the graphing calculator to compute anti-derivatives.
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Activity
Mathematics Archives

Math Archives: Antiderivatives

For Students 9th - 10th
This site from the University of Tennessee, Knoxville defines Improper Integrals and presents examples the student can work and then check online
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Handout
University of Georgia

University of Georgia: Mean Value Theorem

For Students 9th - 10th
This site has a detailed explanation of the Mean Value Theorem.
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Article
Other

Jiskha Homework Help: Math Calculus

For Students 9th - 10th
Jiskha.com offers help with your calculus homework. Use the find button to locate the subject you are interested in. This will take you to the correct link.
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Interactive
Interactive Mathematics

Interactive Mathematics: Millionaire Calculus Game

For Students 9th - 10th
This interactive game imitates the famous "Millionaire" game show and allows students to test there calculus knowledge. It requires that you really know your calculus and is a fun way to test yourself.
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Activity
Mathematics Archives

Math Archives: Line Integral

For Students 9th - 10th
At this site the student can download a program to do line integrals.
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Activity
Interactive Mathematics

Interactive Mathematics: Applications of Volumes by Integration

For Students 9th - 10th Standards
Two demonstrations of using integrals to find volume are presented. Detailed solutions are provided to help understand the process.
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Unknown Type
Math Aids

Math Aids: Calculus Worksheets

For Teachers 9th - 10th
Great resource to practice and strengthen math skills pertaining to Calculus. Math worksheets are printable, may be customized, and include answer keys.
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Interactive
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Numerical Integration Utility

For Students 9th - 10th
The integration tool integrates and graphs functions that student enter into the tool. The tool uses the trapezoidal rule, Riemann sums, and Simpson rule to integrate the function.
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Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Graphing Calculator Programs

For Students 9th - 10th
The resource is a graphing calculator program used for numerical integration. The program uses trapezoid and Simpson approximations. Instructions on how to use the programs are included.
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Activity
Math Medics

S.o.s. Math: Improper Integrals: Introduction

For Students 9th - 10th
A detailed and comprehensive lesson explaining improper integrals. It contains many graphs and charts.
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Handout
Math Medics

S.o.s. Math: Problems on Improper Integrals

For Students 9th - 10th
This math lesson gives information on Improper Integrals. Includes formulas and examples.
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Unit Plan
Khan Academy

Khan Academy: Average Value of a Function Over a Closed Interval

For Students 9th - 10th Standards
This video, from Khan Academy, explains the concept of "average value of a function over a closed interval".
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Unknown Type
Khan Academy

Khan Academy: Analyzing Motion Problems (Integral Calculus)

For Students 11th
Given a motion problem, find the expression that can be used in order to solve the problem.
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Activity
Texas Instruments

Texas Instruments: Accumulation Functions

For Teachers 9th - 10th
In this activity, students examine functions defined by a definite integral. They create tables and graphs for integration functions. They understand the foundation of the Fundamental Theorem of Calculus.
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Activity
Texas Instruments

Texas Instruments: Average Value

For Teachers 9th - 10th
The definite integral is used to find the average value of a function. It will show the steps of the 2nd Fundamental Theorem and also the alternate approach of having the capabilities of the graphing calculator work the entire problem at...
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Unknown Type
Khan Academy

Khan Academy: Analyzing Problems Involving Definite Integrals

For Students 11th
Given a word problem that involves rates and accumulation, find the appropriate expression for solving the problem.
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Lesson Plan
Texas Instruments

Texas Instruments: Area Under Curve

For Teachers 9th - 10th
This activity will illustrate the idea of using the definite integral to represent the area bounded by a function and the x-axis.
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Graphic
University of California

Ucla Mathematics Department : Midpoint Rule

For Students 9th - 10th
This site from UCLA Mathematics Department explains the Midpoint Rule and how it relates to a double integral and finding surface area.

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