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Topic (Course) 
Technology 
Type 
$? 
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Volumes: Cylindrical Shell Met...

Vol. of a solid of revolution (Calculus) 
Flash 
Tool 

[2]

Discusses the volume of the solid obtained by rotating part of a parabola around the yaxis.
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Lathe

Vol. of a solid of revolution (Calculus) 
Java Applet 
Tool 

[4]

Student draws top half of outline; a solid of rotation (horizontal axis) is produced (shown in perspective, dynamic).
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Simon Says...

Vol. of a solid of revolution (Calculus) 
Computer 
Activity 

[2]

A calculus integration project based on the small radio controlled blimp named Simon.
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Area between two curves

Area of a region (Calculus) 
Computer 
Support Material 

[2]

Graph of the region bounded by the curves f(x) = e^(x), g(x) = e^(2x), and h(x) = 7.
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Volumes: Cylindrical Shell Met...

Vol. of a solid of revolution (Calculus) 
Java Applet 
Tool 

[2]

Discusses the volume of the solid obtained by rotating part of a parabola around the yaxis.
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Equations of Motion

Dist. traveled by a particle (Calculus) 
Java Applet 
Tool 

[2]

A Java applet that explores the equations of motion, starting from the acceleration function, with actions to try using the applet. Includes a rescalable presentation version with large fonts.
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Area between two curves

Area of a region (Calculus) 
Computer 
Support Material 

[1]

Graph of the region bounded by the curves f(x) = x^4+2x^2 and g(x) = 28x^2.
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Definite Integrals and the Are...

Area of a region (Calculus) 
Java Applet 
Tool 

[1]

Enter two functions and their antiderivatives, and see the area between the two curves.
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powerOne^{TM} Graph v4

Applications of Integrals (Calculus) 
Palm OS 
Tool 
$ 
[1]

powerOne(r) Graph supports computation & graphing in the mathematics classroom. The following tasks can be done with this software on a handheld computer including: 
Volume of a Cone: A Proof With...

Solids with known Xsections (Calculus) 
Computer 
Activity 

[1]

Supply a justification for each step in this proof of the volume formula for a cone.
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Area between two curves

Area of a region (Calculus) 
Computer 
Support Material 

[1]

Graph of the region bounded by the curves f(x) = x^3 and g(x) = x.
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Finding the length of a curve

Arc length (Calculus) 
Java Applet 
Tool 

[1]

Computes the length of a brokenline approximation to a polynomial.
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Area Function Exercise

Area of a region (Calculus) 
Computer 
Activity 

[1]

Explore the graph of an area function, that is, a function defined as the integral of another function.
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Volume of a Cone Exercise

Solids with known Xsections (Calculus) 
Computer 
Activity 

[1]

Supply a justification for each step in this proof of the volume formula for a cone. A printable worksheet.
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Integrals Using Riemann Sums

Riemann sums and integrals (Calculus) 
Calculator 
Activity 

[0]

A discovery worksheet that allows students to find the formal definition for Riemann sums. It ends with practice questions that students can do on their own. Included in the teacher sheets is an art...
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The Area Function

Area of a region (Calculus) 
TINspire 
Activity 

[0]

In this activity, students will look at the graph of a function g(x), defined to be the integral of a function f(x), with the goal of understanding Part 1 of the Fundamental Theorem of Calculus. Speci...
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Riemann Integral

Riemann sums and integrals (Calculus) 
Computer 
Support Material 

[0]

Discusses the integral as a sophisticated form of summation.
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Integrals At Work

Applications of Integrals (Calculus) 
Computer 
Support Material 

[0]

A brief discussion of some applications of integrals.
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Area between two curves

Area of a region (Calculus) 
Computer 
Support Material 

[0]

Graph of the region bounded by the curves f(x) = x^2 and g(x) = x^3.
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Area between two curves

Area of a region (Calculus) 
Computer 
Support Material 

[0]

Graph of the region bounded by the curves f(x) = x^3, g(x) = x, and h(x) = 1/x^2.
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Area between two curves

Area of a region (Calculus) 
Computer 
Support Material 

[0]

Graph of the region between the curves f(x) = ln(x+1), g(x) = 1x, and the xaxis.
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Areas Bounded by Polar Curves

Area of a region (Calculus) 
Computer 
Support Material 

[0]

A formula for finding the area of a region defined in terms of a function in polar coordinates.
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Area Applet

Area of a region (Calculus) 
Computer 
Support Material 

[0]

Detailed directions for producing the Geometer's Sketchpad construction used to create the Area applet.
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Area Function Applet

Area of a region (Calculus) 
Computer 
Support Material 

[0]

Directions for producing the Geometer's Sketchpad construction used to create the Area Function applet.
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Volume of a Cone Applet

Solids with known Xsections (Calculus) 
Computer 
Support Material 

[0]

Detailed directions for producing the Geometer's Sketchpad construction used to create the Area Function applet.
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