Tuesday, September 25, 2007

Geometry Honors - Rational & Irrational Music

Rational Music
Math @ Work: Music
Post your answers as a comment on the blog.
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Pre-viewing Discussion
What math skills are used in music?

Math at Work. Discovery Channel School. 2006.
unitedstreaming. 25 September 2007

Post-viewing Discussion
How are fractions used in music?

Guided Practice
Quiz #1: Musical Notes
Click on the link above, Think-Pair-Share
Think: Decide on your answers
Pair: Discuss with your neighbor, submit
Share: After 3 minutes, we will look at the results for the whole class.

Irrational Music
Irrational Numbers
Rational or Irrational?? Quia Activity
Identify whether a given number is rational or irrational

Pi Music
The first 10,000 digits of π converted to a musical sequence
Create your own Pi Musical Sequence by assigning notes to the digits of π

Assignment
In small groups, decide on a mathematical pattern
(evens, odds, Fibonnacci Sequence, squares, triangular numbers, etc.)
and expand it until it includes 25 digits.
Individually, assign each integer 0 - 9 a musical note (A - G).
Use GarageBand to compose a song using those 25 digits as the main track.
Each member of the group will add one track to the individual musical compositions.
The original composer will do final production on the song.
Decide which song to submit as a group and create a slide show to share your song.
Include an introduction slide, a slide explaining the mathematics used in the composition process, a slide including the song, and a slide reflecting on the process.