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Read the Fine Print

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(Complete Item Description)
- Abstract:
An interactive applet and associated web page that demonstrate a chord of a circle. The applet shows a circle and two draggable points on its periphery, with the chord drawn between them. A command button turns on the perpendicular bisector of the chord. As you drag the chord about, you can see that the perpendicular bisector always passes through the center of the circle. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
- Subject:
- Mathematics and Statistics
- Grade Level:
- Secondary
- Collection:
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Math Open Reference
Evaluated
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(Complete Item Description)
- Abstract:
This lesson will offer a hands-on opportunity to explore and construct circles. Students will develop a definition for identifying the parts of a circle such as the center, radius, diameter, chord, and circumference. Students will use compasses and rulers in constructing these parts of a circle.
- Subject:
- Mathematics and Statistics
- Grade Level:
- Primary
- Collection:
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LEARN NC Lesson Plans
Read the Fine Print

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(Complete Item Description)
- Abstract:
An interactive applet and associated web page that demonstrate the 'Intersecting Chords' Theorem. (When two chords intersect each other inside a circle, the products of their segments are equal.) The applet presents a circle with two chords. Each end of the chord can be dragged. As it being dragged a calculation continuously changes that shows that the products of their segment are in fact equal. The calculation can be turned off for class discussions. The text on the web page gives four different formulae for calculating the area, depending on the initial givens. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
- Subject:
- Mathematics and Statistics
- Grade Level:
- Secondary
- Collection:
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Math Open Reference
Remix and Share

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(Complete Item Description)
- Abstract:
An introduction to the analysis of tonal music. Students develop analytical techniques based upon concepts learned in Harmony and Counterpoint I and II. Students study harmony, counterpoint, melodic line and motivic relationships at local and large scale levels of musical structure. Three 7-page papers, one revised paper, and one oral presentation required.
- Subject:
- Arts
- Grade Level:
- Post-secondary
- Collection:
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MIT OpenCourseWare
No Strings Attached

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(Complete Item Description)
- Abstract:
Triads are basic three-note chords built of thirds. They can be in root position, first inversion, or second inversion.
- Subject:
- Arts
- Grade Level:
- Primary, Secondary, Post-secondary
- Collection:
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Connexions
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(Complete Item Description)
- Abstract:
" This course builds on the composition techniques practiced in 21M.303 Writing in Tonal Forms I. Students undertake further written and analytic exercises in tonal music, including a sonata-form movement for string quartet. Students will also have the opportunity to write short works that experiment with the expanded tonal techniques of the late 19th and early 20th centuries. Musicianship laboratory is required."
- Subject:
- Arts
- Grade Level:
- Post-secondary
- Collection:
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MIT OpenCourseWare
Remix and Share

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(Complete Item Description)
- Abstract:
" Written and analytic exercises based on 18th- and 19th-century small forms and harmonic practice found in music such as the chorale preludes of Bach; minuets and trios of Haydn, Mozart, and Beethoven; and the songs and character pieces of Schubert and Schumann. Musicianship laboratory is required."
- Subject:
- Arts
- Grade Level:
- Post-secondary
- Collection:
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MIT OpenCourseWare