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2D Rotation Using Matrices
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This Demonstration illustrates the concept of rotating a 2D polygon. The rotation ...

This Demonstration illustrates the concept of rotating a 2D polygon. The rotation matrix is displayed for the current angle. The default polygon is a square that you can modify.

Subject:
Geometry
Material Type:
Activity/Lab
Diagram/Illustration
Homework/Assignment
Interactive
Simulation
Teaching/Learning Strategy
Provider:
Wolfram Research
Provider Set:
Wolfram Demonstrations Project
Author:
Mito Are and Valeria Antohe
Accuracy of Series Approximations
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In physics and mathematics, series expansions to approximate functions are often used ...

In physics and mathematics, series expansions to approximate functions are often used because using the exact solution is either impossible or involves unnecessary complicated calculations. This Demonstration shows accuracy for a series of expansions and how adding terms increases that accuracy moving away from the origin.

Subject:
Calculus
Physics
Material Type:
Reading
Provider:
Wolfram Research
Provider Set:
Wolfram Demonstrations Project
Author:
Fred E. Moolekamp III
Kevin L. Stokes
Inscribed Angles That Intercept the Same Arc
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If two inscribed angles intercept the same arc, then the angles are ...

If two inscribed angles intercept the same arc, then the angles are equal. Drag the orange points to change the figure.

Subject:
Geometry
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Activity/Lab
Diagram/Illustration
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Interactive
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Teaching/Learning Strategy
Provider:
Wolfram Research
Provider Set:
Wolfram Demonstrations Project
Author:
Jay Warendorff
Length Scales in the Solar System
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A dynamically simplified solar system is constructed from online data to explore ...

A dynamically simplified solar system is constructed from online data to explore the real solar system on many different scales.

The realistically scaled solar system is surprising because nothing is visible due to the presence of many different scales. That is why it is usually rescaled in animations or illustrations. This is nice but gives us a wrong sense of distances and sizes. This Demonstration is intended to show the solar system's different scales in their full glory.

Since it is hardly possible to see anything when the real scales are used, controls have been added to modify the sizes of the celestial bodies.

Subject:
Astronomy
Material Type:
Activity/Lab
Diagram/Illustration
Homework/Assignment
Interactive
Simulation
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Provider:
Wolfram Research
Provider Set:
Wolfram Demonstrations Project
Author:
Cedric Voisin
Recognizing Notes in the Context of a Key
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Improve your ear by learning to recognize pitches in the context of ...

Improve your ear by learning to recognize pitches in the context of a key. Use the radio buttons to decide if you want to practice in a major or a minor key, whether you want to use notes only from the tonality you chose or from all twelve notes of the chromatic scale, and whether you want to hear the scale or a cadence in that key as a reference. Choose the range (in number of octaves) from which you would like the note selected. Click the "new example" button and the scale or cadence will be played, followed by a note selected at random subject to your restrictions. It is up to you to determine the note that was played. If you need to hear the randomly selected note again, click the "repeat note" button. You can check your answer by ear or you can have the answer displayed for you by clicking the "show answer" checkbox. The "fixed tonic C" checkbox lets you always work in C major or to have the tonic selected at random with each new example.

Subject:
Arts and Humanities
Performing Arts
Material Type:
Diagram/Illustration
Homework/Assignment
Interactive
Simulation
Teaching/Learning Strategy
Provider:
Wolfram Research
Provider Set:
Wolfram Demonstrations Project
Author:
Marc Brodie
Slope and Equations of Lines through Points
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Algebra students need practice determining equations of lines given a pair of ...

Algebra students need practice determining equations of lines given a pair of points, or the line parallel or perpendicular to a given line through a given point. This Demonstration, along with guiding worksheets or a teacher presentation, gives students a chance to see the relationships between these lines and points.

Subject:
Algebra
Material Type:
Activity/Lab
Diagram/Illustration
Homework/Assignment
Interactive
Simulation
Teaching/Learning Strategy
Provider:
Wolfram Research
Provider Set:
Wolfram Demonstrations Project
Author:
Tom Falcone