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!
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.
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...
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.
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.
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.
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
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.
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.
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.
Activity
Mathematics Archives

Math Archives: Line Integral

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