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Topic (Course) 
Technology 
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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...

Approximating rate of change (Calculus) 
Computer 
Activity 

[1]

Exercises on average and instantaneous rates of change (PDF).
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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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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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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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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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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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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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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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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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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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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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SecantTangent.java

Tangent line (Calculus) 
Java Applet 
Support Material 

[0]

Source code for the SecantTangent applet.
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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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Adaptive Learning Tool for Mat...

Derivative at a Point (Calculus) 
Computer 
Tool 

[0]

The ToKToL online adaptive learning platform contains a large (2000) set of maths questions and associated explanatory texts. Questions are selected to adjust to the ability of the student so that whe...
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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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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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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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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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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

Tangent line (Calculus) 
Flash 
Tool 

[0]

Animated description of the tangent line as a limit of secant lines through a point.
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Tangent Lines

Local linearity (Calculus) 
Flash 
Tool 

[0]

Animated description of a rigorous method to determine how accurate an approximation to a function the tangent line at a given point is.
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A Tabular View of the Second D...

Approximating rate of change (Calculus) 
Java Applet 
Tool 

[0]

A Java applet that introduces the second derivative using a table, with questions to answer using the applet. Includes a rescalable presentation version with large fonts.
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Animation of secants approachi...

Tangent line (Calculus) 
Java Applet 
Tool 

[0]

An animation of secant lines approaching the tangent to a parabola. Shows the slope of each secant line.
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Derivate

Derivative at a Point (Calculus)+ 
Java Applet 
Tool 

[0]

Begin understanding the meaning of the derivative at a point on a function. View the graph and the equation of the line tangent to any function at any point on the function.
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