Mathematics and Society - OS X Lion Server

Background for Student Page:(Students should experience translatingshapes along an axis to see that the shapevarious shapes. Have them slide geometricremains the same in the process.'---------'----.'--------'They could also performa series of translations:(Again, have students bring in music that shows repetition of various phrases. Ofall the motions, repetitions (sideways translations) are the easiest to pick out bylistening.Sometimes it is necessary or desirable to move all the musical notes up or down onthe staff so the music will fit the pitch range of a singer or instrument. To make themusic keep the same melody, flats or sharps must be added. This is called transposing.A good discussion could evolve if students share their knowledge about how music iswritten for different instruments. For example, these notes will all have the samepitch when played on the respective instruments.•1\IJ " -,/)'Use:294If r \•/\.. LIPIAlVO CLAR!tvET e.t\ICOPl-lOlVE TROMBOI.lE"(AL'O )If possible, the notes on the following student page should be played on tape orinstrument.r(