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Activity
Other

Calculus Preview

For Students 9th - 10th Standards
The resource gives students a preview of topics learned in Calculus. Concepts included are graphs, speed, and integration. Graphs, tables, and an interactive applet are used to investigate the examples.
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Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Substitution in the Indefinite Integral

For Students 9th - 10th
Students learn how to integrate using the technique of substitution. The tutorial explores the calculus concept through notes and examples. Review exercises, a chapter summary, and chapter quiz are included.
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Activity
Texas Instruments

Texas Instruments: Ti 89 Riemann Sum Activities for Calculus

For Teachers 9th - 10th
In this Computer Algebra System (CAS) activity students use Riemann sums to estimate the distance traveled on a trip at various speeds. They utilize the concept of Riemann sums to calculate the area under a curve. Students find limits of...
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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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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
Analyze Math

Analyze Math: Find Area Under Curve

For Students 9th - 10th
Scholars examine how to find the area under and between curves using definite integrals. The tutorial consists of practice exercises and examples with solutions.
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Unknown Type
Khan Academy

Khan Academy: Arc Length

For Students 9th - 10th
Use definite integrals to find the length of an arc. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Handout
Wolfram Research

Wolfram Math World: Chord

For Students 9th - 10th Standards
Describes what a chord is and shows a diagram and shows how to find areas using integral calculus.
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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
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
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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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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Activity
Mathematics Archives

Math Archives: Trigonometric Substitution

For Students 9th - 10th
This resource has many examples of integration using trigonometric substitution that the student can work on and then check their answers. Includes hints.
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Activity
Duke University

Calculating the Volume of a Vase

For Students 9th - 10th
This site is a wonderful exercise for students with a Calculus base. The site gives an interactive drawing of a vase where the measurements of the diameter of the vase are at any point. The student then finds the volume using calculus....
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Area Under the Curve

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] The definition of integration, using limits to calculate the area under a curve.
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Article
Khan Academy

Khan Academy: 3 D Divergence Theorem Examples

For Students 9th
See how to use the 3D divergence theorem to make surface integral problems simpler.
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Activity
Other

Area Between Curves

For Students 9th - 10th
Site explains using an example how to find the area between curves using a calculator.
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Handout
Wolfram Research

Wolfram Math World: Trigonometric Substitution

For Students 9th - 10th
This resource explains the steps to solving a difficult integration using a given trigonometric substitution and then proceeds to explain which integration technique to apply to solve the integration problem.
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Activity
Texas Instruments

Texas Instruments: The Region Between Two Curves

For Teachers 9th - 10th
This activity is an application of integration. Students use calculus to find the area of a region and the volumes of solids generated by the region. They use the CAS of their TI-89 and calculus to determine the exact answers.
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Activity
Texas Instruments

Texas Instruments: Shortest Path

For Teachers 9th - 10th
Students graph three functions on the same domain that go through the same three points. They then find the shortest of each of the paths through these points using the CAS of their TI-89 and calculus.
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Activity
Interactive Mathematics

Interactive Mathematics: Force Due to Liquid Pressure

For Students 9th - 10th
Examples are provided to demonstrate how integrals are used to determine the amount of force liquid produces. The solutions are included, but hidden so students can work the problem independently.
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Activity
Texas Instruments

Texas Instruments: Air Resistance

For Teachers 9th - 10th
Use the TI-89 to investigate the effect of air resistance on a free-falling object. Examples in the activity use calculator screenprints and keystroke instructions to demonstrate the use of the calculator to solve these problems....
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Website
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Derivation of De Moivre's Formula

For Students 9th - 10th
A formula using Euler's formula to derive DeMoivre's theorem. Basic calculus skills of differentiating and integrating are required to understand this explanation.