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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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Adaptive Learning Tool for Mat...

Applications of Integrals (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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Area Applet

Area of a region (Calculus) 
Computer 
Support Material 

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Detailed directions for producing the Geometer's Sketchpad construction used to create the Area applet.
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Area Between Curve and xaxis

Area of a region (Calculus) 
Computer 
Tool 

[0]

A Geometer's Sketchpad document used to create an applet to illustrate the area between a curve and the xaxis.
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Area Between a Curve and the x...

Area of a region (Calculus) 
Computer 
Tool 

[0]

Instructions for using the Area applet to investigate the relationship between the definite integral and the area under a curve.
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Area Function

Area of a region (Calculus) 
Computer 
Tool 

[0]

A Geometer's Sketchpad document used to create an applet to compare graphs of a function and the area underneath the function.
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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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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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Area between two curves

Area of a region (Calculus) 
Computer 
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[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 

[1]

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

[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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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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Cone

Solids with known Xsections (Calculus) 
Computer 
Tool 

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A Geometer's Sketchpad document used to create an applet to experiment with cross sections of a right cone.
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Integrals At Work

Applications of Integrals (Calculus) 
Computer 
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A brief discussion of some applications of integrals.
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Riemann Integral

Riemann sums and integrals (Calculus) 
Computer 
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Discusses the integral as a sophisticated form of summation.
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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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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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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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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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Arc Length

Arc length (Calculus) 
Flash 
Tool 

[0]

Discusses the formula for arc length.
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Arc Length

Arc length (Calculus) 
Flash 
Tool 

[0]

Discusses the arc length formula for a curve defined by a parametrization.
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Arc Length

Arc length (Calculus) 
Flash 
Tool 

[0]

Uses the arc length formula to find the circumference of a circle.
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