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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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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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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 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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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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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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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 

[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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Integrals At Work

Applications of Integrals (Calculus) 
Computer 
Support Material 

[0]

A brief discussion of some applications of integrals.
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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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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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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 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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Cone

Solids with known Xsections (Calculus) 
Computer 
Tool 

[0]

A Geometer's Sketchpad document used to create an applet to experiment with cross sections of a right 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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