Mathematics and Society - OS X Lion Server

Page Number3 It would be at its original place. (299translationdown 1 placereflectionof previousmeasurerotationreflectionrotation33003013074 Answers vary.(II) The half-full glass gives a lower tone. (12) Note: It might bedifficult to get the entire scale. This will depend on the shape andsize of the glasses. (13) varies (113) Students should see amarking pattern like below. It is easy to see where the half-steps are.~:::.:.;.:;;'J.·.:.i:.: ..... ,.,.,~~n=·@(I) anSwers will vary (II) If the music is written in the key of C,probably C will be used frequently. E, F, and G might also occur frequentlyin music in the key of C because they are perfect thirds, fourths,and fifths. Any other note in the major scale might also be used. Ifthe music is written in a minor key, or is more complicated in otherways, it will be difficult for most students to determine why a particularletter occurs more frequently. (III) C(Ia) AB, BA, BB (Ib) AA, AB, AC, BB, BA, BC, CC, CA, CB; 9 or 3 x 3(Ic) 16 or 4 x 4; 25 or 5 x 5; 36 or 6 x 6; 49 or 7 x 7; 144 or 12 x 12(IIa) AAA, AAB, ABA, BBA, BAA, BAB, ABB, BBB; 8 or 2 x 2 x 2 (lIb) 3 3or 3 x 3 x 3; 4 3 or 4 x 4 x 4; 53 or 5 x 5 x 5; 6 3 or 6 x 6 x 6; 7 3 or7 x 7 x 7; 12 3 or 12 x 12 x 12 (III) 7 5 or 7 x 7 x 7 x 7 x 7((466