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Resource Name 
Topic (Course) 
Technology 
Type 
$? 
Rating 

Calculus Made Easy App

Derivative at a Point (Calculus) 
TI89 
Tool 
$ 
[3]

Contains concise rules and corresponding examples for functions, limits, derivatives, integrals, trigonometry, and BC Calculus.
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Principles of Calculus Modelin...

Approximating rate of change (Calculus) 
Computer 
Activity 

[1]

Exercises on average and instantaneous rates of change (PDF).
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From Secant Lines to Tangent L...

Slope of a curve at a point (Calculus)+ 
Sketchpad 
Activity 

[1]

This activity demonstrates one of the many ways Sketchpad can be used in a calculus or math analysis class. Here, students explore the relationship between the slopes of secant lines to a curve...
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Secant/ Tangent Applet

Tangent line (Calculus) 
Computer 
Support Material 

[1]

Detailed directions for producing the Geometer's Sketchpad construction used to create the Secant/ Tangent applet.
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WebGrapher

Tangent line (Calculus) 
Java Applet 
Tool 

[1]

This is a Java graphing applet that can be used online or downloaded. The purpose it to construct dynamic graphs with parameters controlled by user defined sliders that can be saved as web pages or em...
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Slope Demonstration

Slope of a curve at a point (Calculus) 
Java Applet 
Tool 

[1]

See the slope of the line between two points on a line or parabola.
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SecantTangent Applet

Tangent line (Calculus) 
Java Applet 
Tool 

[1]

Experiment with secant line approximations to a tangent to a function. Includes extensive directions for customizing the applet.
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Derivative at a Point

Derivative at a Point (Calculus) 
Java Applet 
Tool 

[1]

A Java applet that introduces the derivative at a point. Includes a rescalable presentation version with large fonts.
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powerOne^{TM} Graph v4

Derivative at a Point (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: 
The Legacy of Newton, Galileo,...

Approximating rate of change (Calculus) 
Computer 
Activity 

[1]

A quiz (with answers) on average and instantaneous rates of change.
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Tangent Lines and Their Slopes...

Tangent line (Calculus) 
Computer 
Activity 

[0]

A quiz (with answers) on the slopes of tangent lines to functions.
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Principles of Calculus Modelin...

Tangent line (Calculus) 
Computer 
Activity 

[0]

Exercises on the slopes of tangent lines to functions.
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Linear Approximations: Quiz

Local linearity (Calculus) 
Computer 
Activity 

[0]

A quiz (with answers) on derivatives as the best linear approximations to functions.
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Principles of Calculus Modelin...

Local linearity (Calculus) 
Computer 
Activity 

[0]

Exercises on derivatives as the best linear approximations to functions (PDF).
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Slopes and Derivatives

Slope of a curve at a point (Calculus)+ 
Sketchpad 
Activity 

[0]

This activity demonstrates one of the many ways Sketchpad can be used in a calculus or math analysis class. Students manipulate a tangent line to a curve to investigate what it means for a curve to ha...
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Graphing f '(x): Increasing, D...

Derivative at a Point (Calculus)+ 
Sketchpad 
Activity 

[0]

This activity is designed to follow the activities From Secant Lines to Tangent Lines and Slopes and Derivatives [referenced below], but it can easily stand on its own. Using a dynamic t...
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Exponential Growth

Derivative at a Point (Calculus) 
TINspire 
Activity 

[0]

The main objective of this activity is to ﬁnd an approximation for the value of the mathematical constant e and to apply it to exponential growth and decay problems. To accomplish this, student...
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secants.m

Tangent line (Calculus) 
Computer 
Support Material 

[0]

A mathematica file used to create animations that illustrate secant lines converging to a tangent.
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tangent.m

Tangent line (Calculus) 
Java Applet 
Support Material 

[0]

A Mathematica program used to produce an animation of zooming in on a tangent.
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SecantTangent.java

Tangent line (Calculus) 
Java Applet 
Support Material 

[0]

Source code for the SecantTangent applet.
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Tangent Lines

Local linearity (Calculus) 
Computer 
Tool 

[0]

An animation of zooming in on the function f(x) = 5^x at x=0 until the function and its tangent line appear to coincide.
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Secant/ Tangent

Tangent line (Calculus) 
Computer 
Tool 

[0]

A Geometer's Sketchpad document used to create an applet to investigate the connection between secant lines and the tangent to a function at a point.
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The Legacy of Galileo and Newt...

Approximating rate of change (Calculus) 
Computer 
Tool 

[0]

RealMedia movies of solved problems on average velocity.
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Tangent Lines and Their Slopes

Tangent line (Calculus) 
Computer 
Tool 

[0]

RealMedia movies of worked problems on finding the slopes of tangent lines to functions.
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Linear Approximations

Local linearity (Calculus) 
Computer 
Tool 

[0]

RealMedia movies on derivatives as the best linear approximations to functions.
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