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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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Antiderivatives and Initial Va...

Differential equations (Calculus) 
Computer 
Activity 

[2]

Quiz (with answers) on antiderivatives and basic differential equations.
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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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Case Study: Modeling with Elem...

Functions, Graphs, and Limits (Calculus) 
Computer 
Activity 

[2]

A quiz (with answers) on choosing the right function to model different kinds of data.
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Case Study: Population Modelin...

Modeling, including exp. fcns. (Calculus) 
Computer 
Activity 

[1]

A quiz (with answers) on exponential functions and models of population growth.
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Computer Project 2

Applications of Derivatives (Calculus) 
Computer 
Activity 

[1]

Some suggestions for experimentation with a polynomial function in various Newton's Method applets.
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Continuity: Quiz

Continuity in terms of limits (Calculus) 
Computer 
Activity 

[1]

Quiz (with answers) on continuity of functions.
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Derivative Definition Exercise

As the lim. of the diff. quot. (Calculus) 
Computer 
Activity 

[1]

Investigate different definitions of the derivative.
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Derivatives of Exponential and...

Derivatives of basic functions (Calculus) 
Computer 
Activity 

[0]

Quiz (with answers) on the derivatives of exponential and logarithmic functions.
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Derivatives of the Trigonometr...

Derivatives of basic functions (Calculus) 
Computer 
Activity 

[2]

Quiz (with answers) on derivatives of trigonometric functions.
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Differentiation Rules: Quiz

Deriv. of sums, prods., quots. (Calculus) 
Computer 
Activity 

[0]

A quiz (with answers) on methods of calculating derivatives.
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Exercises

Functions, Graphs, and Limits (Calculus) 
Computer 
Activity 

[0]

Experiment with sequences: find expressions for simple sequences, as well as using the technical definition of convergence.
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Exercises

Concept of infinite series (Calculus) 
Computer 
Activity 

[1]

Experiment with series: find expressions for simple series, as well as using the technical definition of convergence.
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Exponential Growth and Decay: ...

Modeling, including exp. fcns. (Calculus) 
Computer 
Activity 

[1]

Quiz on models of exponential growth and decay, including radioactive rocks and cooling coffee. Includes answers.
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Functions and Their Graphs: Qu...

Function graphs (Calculus) 
Computer 
Activity 

[0]

A quiz (with answers) on functions, range and domain, and odd and even functions.
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Implicit Differentiation: Quiz

Implicit differentiation (Calculus) 
Computer 
Activity 

[0]

A quiz (with answers) on implicit differentiation.
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In Search of the Missing e...

Functions, Graphs, and Limits (Calculus) 
Computer 
Activity 

[0]

A review and an investigation of the natural exponential function.
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Inverse Function Theorem Exerc...

Derivative of inverse function (Calculus) 
Computer 
Activity 

[0]

Use an applet and a graphing calculator to investigate the Inverse Function Theorem.
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Issues in Curve Sketching: Qui...

Second Derivatives (Calculus) 
Computer 
Activity 

[0]

Quiz (with answers) on first and second derivatives and sketching curves.
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Limits of Functions: Quiz

Limits of functions (Calculus) 
Computer 
Activity 

[0]

Quiz (with answers) on limits of functions at particular points.
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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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MathBits.com

General (Calculus) 
Computer 
Activity 

[1]

MathBits.com offers free lessons and activities for students and teachers. The opening page connects viewers to contentrich areas on Geometer’s Sketchpad, PowerPoint Games and Activities, Math and t...
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Modeling Discrete Data: Quiz

Functions, Graphs, and Limits (Calculus) 
Computer 
Activity 

[0]

A quiz on basic functions and their graphs.
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Modeling Rates of Change: Intr...

Velocity, speed, accel. (Calculus) 
Computer 
Activity 

[1]

A quiz (with answers) on average velocity and acceleration.
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Modeling with Differential Equ...

Differential equations (Calculus) 
Computer 
Activity 

[0]

A quiz (with answers) on basic differential equations.
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