Mathematics Sing-Along Teaching and Motivating Students Through Music

1. Mathematics Sing-AlongTeaching and Motivating Students Through Music Thomas J. Klein, Marshall University Joyce Saxon, Morehead State Univ.

2. I Love M-A-T-H(Tune of “I Am C-H-R-I-S-T-I-O-N”) Oh I love M Love M-A-T-H Love M-A-T-H-E-M-A-T-I-C-S I love to do M-A-T-H Love N-U-M-B-E-R-S G-E-O-M-E-T-R-Y And problems S-O-L-V-E

3. Know, Know, Know Your Math (Tune of “Row, Row, Row Your Boat”) Know, know, know your math It will make you cool Problem solving, problem solving Math your biggest tool

4. Mean, Median, Mode (Tune of “3 Blind Mice”) Mean, median, mode Mean, median, mode Central tendency Central tendency The mean is the average of what you’ve got The median’s the one in the middle spot The mode is most frequent of the lot The mean, median, mode Mean, median, mode

5. Is This Not a Polygon?(Tune of “Twinkle, Twinkle, Little Star”) Is this not a polygon? Yes this is a polygon! Is this not a triangle? Yes this is a triangle! Count the sides, and see, there’s three! Count the angles, also three! (Count the diagonals, half zero times three.) (The angles add up to 180 degrees.) Is this not a triangle? Yes this is a triangle!

6. Is This Not a Polygon? Is this not a polygon? Yes this is a polygon! Is this not a quadrilateral? Yes this is a quadrilateral! Count the sides, and see, there’s four! Count the angles, also four! (Count the diagonals, half one times four.) (The angles add up to 360 degrees.) Is this not a quadrilateral? Yes this is a quadrilateral!

7. Is This Not a Polygon? Is this not a polygon? Yes this is a polygon! Is this not a pentagon? Yes this is a pentagon! Count the sides, and see, there’s five! Count the angles, also five! (Count the diagonals, half two times five.) (The angles add up to 540 degrees.) Is this not a pentagon? Yes this is a pentagon!

8. Is This Not a Polygon? Is this not a polygon? Yes this is a polygon! Is this not a hexagon? Yes this is a hexagon! Count the sides, and see, there’s six! Count the angles, also six! (Count the diagonals, half three times six.) (The angles add up to 720 degrees.) Is this not a hexagon? Yes this is a hexagon!

9. Is This Not a Polygon? Is this not a polygon? Yes this is a polygon! Is this not a heptagon? Yes this is a heptagon! Count the sides, and see, there’s seven! Count the angles, also seven! (Count the diagonals, half four times seven.) (The angles add up to 900 degrees.) Is this not a heptagon? Yes this is a heptagon!

10. Is This Not a Polygon? Is this not a polygon? Yes this is a polygon! Is this not a octagon? Yes this is a octagon! Count the sides, and see, there’s eight! Count the angles, also eight! (Count the diagonals, half five times eight.) (The angles add up to 1080 degrees.) Is this not a octagon? Yes this is a octagon!

11. Is This Not a Polygon? Is this not a polygon? Yes this is a polygon! Is this not a nonagon? Yes this is a nonagon! Count the sides, and see, there’s nine! Count the angles, also nine! (Count the diagonals, half six times nine.) (The angles add up to 1260 degrees.) Is this not a nonagon? Yes this is a nonagon!

12. Is This Not a Polygon? Is this not a polygon? Yes this is a polygon! Is this not a decagon? Yes this is a decagon! Count the sides, and see, there’s ten! Count the angles, also ten! (Count the diagonals, half seven times ten.) (The angles add up to 1440 degrees.) Is this not a decagon? Yes this is a decagon!

13. Is This Not a Polygon? Is this not a polygon? Yes this is a polygon! Count the sides, and see, there’s n! Count the angles, also n! (Count the diagonals, half (n - 3) times n.) (The angles add up to 180 times (n – 2) degrees.) Is this not a polygon? Yes this is a polygon!

14. Function Song(Tune of “Bicycle Built for Two”) Function, function, Give me your rule please do. I’m half crazy Trying to figure out you. The input is called the domain. The output is called the range. I input “x” and out comes “y.” Oh your rule I will now supply.

15. Function Song Function, function, Give me your rule please do. I’m half crazy Trying to figure out you. The input is called the domain. The output is called the range. I input ________ and out comes ________. I input ________ and out comes ________. I input ________ and out comes ________. Oh your rule I will now supply.

16. Function Song Function, function, Give me your rule please do. I’m half crazy Trying to figure out you. The input is called the domain. The output is called the range. I input ________ and out comes ________. I input ________ and out comes ________. I input ________ and out comes ________. Oh your rule I will now supply.

17. Function Song Function, function, Give me your rule please do. I’m half crazy Trying to figure out you. The input is called the domain. The output is called the range. I input ________ and out comes ________. I input ________ and out comes ________. I input ________ and out comes ________. Oh your rule I will now supply.

18. Triangles Sing This Song(Tune of “Camptown Races”) Acute triangles sing this song Doodah doodah Acute triangles sing this song Oh the doodah day All three angles are acute Less than 90 degrees Acute triangles sing this song Oh the doodah day

19. Triangles Sing This Song All right triangles sing this song Doodah doodah All right triangles sing this song Oh the doodah day Only one right angle Exactly 90 degrees All right triangles sing this song Oh the doodah day

20. Triangles Sing This Song Obtuse triangles sing this song Doodah doodah Obtuse triangles sing this song Oh the doodah day One angle is obtuse More than 90 degrees Obtuse triangles sing this song Oh the doodah day

21. Triangles Sing This Song Scalene triangles sing this song Doodah doodah Scalene triangles sing this song Oh the doodah day All sides noncongruent No angles congruent too Scalene triangles sing this song Oh the doodah day

22. Triangles Sing This Song Isosceles triangles sing this song Doodah doodah Isosceles triangles sing this song Oh the doodah day Two sides (and angles) congruent Two and maybe three Isosceles triangles sing this song Oh the doodah day

23. Triangles Sing This Song Equilaterals sing this song Doodah doodah Equilaterals sing this song Oh the doodah day All three sides congruent Three angles 60 degrees Equilaterals sing this song Oh the doodah day

24. Triangles Sing This Song All triangles sing this song Doodah doodah All triangles sing this song Oh the doodah day The sum of two shorter sides Is longer than the third side And the sum of its three angles Is 180 degrees All triangles sing this song Oh the doodah day

25. Addition—Front End

26. Addition—Compensation

27. Addition—Break-and-Bridge

28. Addition—Compatible Numbers

29. Subtraction—Compensation

30. Multiplication—Halve & Double

31. Multiplication—Trailing Zeros

32. Division—Trailing Zeros

33. Let’s Do Mental Math This Minute(Tune of “Letter Home”…Hello Mother, Hello Father) We’re all mental We love math We do mental Math in minutes All in our head With slick techniques So much fun so let’s do mental math this minute

34. Let’s Do Mental Math This Minute Let’s do mental Math addition With two digits Using front end Add the tens first Then the ones next Then you add them both together for the answer

35. Let’s Do Mental Math This Minute Let’s do mental Math addition Add two numbers Compensation Round an addend To the next ten Add the rounded and the other less the error

36. Let’s Do Mental Math This Minute Let’s do mental Math addition With two digits Using break-and-bridge Add one number To the tens place Of the other and then add that number’s ones place

37. Let’s Do Mental Math This Minute Let’s do mental Math addition With two digits Those compatible Add first addends With sums that are Multiples of ten and then add on the others

38. Let’s Do Mental Math This Minute Let’s do mental Math subtraction A two-digit Minus two-digit Front end, break-and-bridge Compensation All three methods also work doing subtraction

39. Let’s Do Mental Math This Minute Let’s do mental Multiplication Times two numbers By halve and double Half one factor Other double Multiply these two together for your product

40. Let’s Do Mental Math This Minute Let’s do mental Multiplication When these numbers End in zeros Drop end zeros Multiply then Count the zeros dropped and put them on your product

41. Let’s Do Mental Math This Minute Let’s do mental Math division Same end zeros Off both numbers Zeros still left Take off dividend Disregard these, then divide, add on these later

42. Let’s Do Mental Math This Minute Lots of mental Mathematics Slick techniques for Math in your head Makes doing math So much more fun So let’s do more mental math some other minute

43. The Divisibility Song(Tune of “Polly Wolly Doodle”) Oh I want to know, yes I want to know, is this integer divisible by two? Oh I want to know, yes I want to know, is this integer divisible by two? Could the last digit be a zero, eight, six, four, or two? If it is a zero, eight, six, four, or two, yes this integer’s divisible by two.

44. The Divisibility Song Oh I want to know, yes I want to know, is this integer divisible by three? Oh I want to know, yes I want to know, is this integer divisible by three? Find the sum of the digits; is this sum divisible by three? If this sum is a multiple of three, yes this integer’s divisible by three.

45. The Divisibility Song Oh I want to know, yes I want to know, is this integer divisible by four? Oh I want to know, yes I want to know, is this integer divisible by four? Do the last two digits form an integer divisible by four? If these two digits form a multiple of four, yes this integer’s divisible by four.

46. The Divisibility Song Oh I want to know, yes I want to know, is this integer divisible by five? Oh I want to know, yes I want to know, is this integer divisible by five? Could the last digit be equal to a zero or five? If the last digit is a zero or five, yes this integer’s divisible by five.

47. The Divisibility Song Oh I want to know, yes I want to know, is this integer divisible by six? Oh I want to know, yes I want to know, is this integer divisible by six? What if this integer is divisible by two and three? If this integer is divisible by these, yes this integer’s divisible by six.

48. The Divisibility Song Oh I want to know, yes I want to know, is this integer divisible by nine? Oh I want to know, yes I want to know, is this integer divisible by nine? Find the sum of the digits; is this sum divisible by nine? If this sum is a multiple of nine, yes this integer’s divisible by nine.

49. The Divisibility Song Oh I want to know, yes I want to know, is this integer divisible by ten? Oh I want to know, yes I want to know, is this integer divisible by ten? Could the last digit be equal to only zero? If the last digit equals a zero, yes this integer’s divisible by ten.

50. The Divisibility Song (Oh I want to know, yes I want to know, is this integer divisible by eight? Oh I want to know, yes I want to know, is this integer divisible by eight? Do the last three digits form an integer divisible by eight? If these three digits form a multiple of eight, yes this integer’s divisible by eight.)