The Best Of Math Madness and A Few Additional Songs
1. Number Line Song
Taking a walk along the number line (repeat twice)
Just taking a walk.
So long there’s no end to it.
So thin there’s no width to it.
So dense there’s no holes in it.
Just taking a walk.
Taking a walk (repeat twice)
Just taking a walk.
2. Integer Song
I N T E G E R S (repeat twice)
And that spells integers.
When you think of integers think whole numbers. (rpt twice)
And that spells integers.
Positive and negative and even zero (rpt twice)
And that spells integers
3. Fraction Song
Adding fractions draw a teepee (rpt)
Multiplying fractions you go straight across (rpt)
Divide reciprocate the second multiply. (rpt)
4. PI Song
Pi equals 314159265358…
979 323 846 264
5. Algebra Song
Let’s play the game of algebra (rpt)
Alge alge brr brr brr (rpt).
Let’s play the game of algebra.
The object is to capture X…
First of all combine like terms…
Get all the X’s on one side…
Get constants on the other side…
Divide to get X all alone
You’ve won the game of algebra
6. Geometry Song
It’s time to play the game geometry
We start with points and lines and planes you see.
Then we build segments, rays, and angles too
And polygons of any type that pleases you.
We draw circles of all sizes and make conjectures that surprise us.
So put your text away, it’s time to punch and play…
The game geometry.
7. Pythagorean Song
I was taking a walk through triangle land
When I came upon a figure I did not understand.
So I measured one side and the other one too, but I just couldn’t get the hypoteneuse…then I remembered:
You take the first leg squared, square the other one too.
Add them together that’s all that you do.
To complete this great theorem don’t worry, hang loose.
It’ll be the square of the hypoteneuse…A squared plus B squared = C squared.
8. Graphing Functions
Graphing functions, joyfully graphing functions, graphing functions on my TI calculator.
Do you do a constant graph?
Yes I do a constant graph.
Stretch it up, flip it down, you can shift it all around…
(chorus)
Do you do a linear…parabola…
Cubic kind, sine of X, and so on.
9. Quadratic Formula
10. Data Dance
You punch the data in, you watch a list come out, you punch the data in and you shake it all about.
You do the data dance and then you turn yourself around, and that’s what it’s all about.
You turn the Statplot on, a menu then comes out….
You turn the Window on, the max and mins come out…
You punch the graph key once, you watch the points come out.
You turn the Linreg on, you watch a line come out…
11. Trinomial Square
You take the coefficient in front of the X
You cut it in half and then you square it next
You put it on the end take it off again,
To do a perfect square this is how you begin.
12. Matherena
You can guess and check or you can run a table. Or you can do the algebra if you are able. But if you do a graph, you cut your work in half.
Hey matherena.
Punch in an expession, graph to draw a picture, using new technology makes mathematics richer. Trace the intersection, make the math connection,
Hey matherena
Do you want to try to crunch a bunch of data, open up a list don’t even have to wait-a. Go now draw a statplot, give it all that you’ve got,
Hey matherena
You’ll love the visual side of mathematics, when you join with all the calculator addicts. To do a real world problem on your grapher. Your classroom will be filled with fun and laughter (rpt1st verse)
13. Trigonometria
T R I G O N O M E T R I A
We do real world problems the SOHCAHTOA way. We measure trees and flagpoles finding height the easy way (chorus)
We draw sines and cosines, tangents, secants and cosecants.
We sing crazy songs and yes we even do a trig dance.
Memorize identities to make our knowledge enhance.
Sines and cosines, tangents, even secants and cosecants
MORE MATH MADNESS
14. Decimal Point Song
Let me tell you a story bout a little bitty do.
He got so bored that he thought he would rot.
So he put on his sneakers and his tiny head band,
And he ran, and he ran thru number land (rp)
He found a number that was lost and afraid. He bounced along the line till his day was made. He hopped left and right to the number’s delight. He hopped and he hopped till he was out of sight (rpt)
When he hops to the left he makes the number feel small. When he goes to the right it feels big and tall.
He’s a tiny little dot but has power in his hand as he runs and he runs through number land (rpt)
15. Reducing
How do a change a fraction by reducing?
How do you take a number shrink it down? How do you change a fraction by reducing? Factor the top and the bottom, see what you’ve found.
If a factor on top with one on the bottom matches, then they disappear and turn into a one.
You’ve come to the end of the road, the story has now been told. Write down what’s left and now your work is done.
This is the way you go about reducing
This is the way you shrink a fraction down.
16. Sign Rules
A negative a negative is a positive
A negative a positive is a negative
A negative a negative is a positive
These are the rules for signs.
But a positive a positive is a positive,
A positive a negative is a negative
A positive a positive is a positive,
These are the rules for signs.
If signs are the same it comes out positive,
But if they’re different it comes out negative.
If signes are the same if comes out positive.
These are the rules for signs.
17. Cancel Song
When can you cancel? (rpt)
I can cancel when I multiply, but when I add I dare not try. I can cancel when I multiply, that’s when, that’s when I can cancel.
18. PEMDAS
Pemdas, pemdas, PEMDAS, everybody sing Pemdas…
When you order operations, he comes along, if you listen to him you will never go wrong.
His name is Pemdas…
19. Parentheses
Parentheses, parentheses, oh how I love parentheses (rpt)
They help to keep your numbers straight, they organize and separate…(chorus)
They always come in sets of two, distribute outside number through …(chorus)
They look like ballet dancers arms; they hug and keep your numbers warm…(Chorus)
20. Y=MX+B
Math class, there’s no need to feel down, I said math class get yourselves off the ground. Come on math class, if there’s a line to be found, it’s so easy when you sing out.
Math class come on get in the swing, I said math class ti’s more fun when you sing. Come on math class naming lines is your thing, it’s so easy when you sing out (5 beats)
Y=MX+B, (rpt)
It’s so easy to do and it earns high grades to, you can catch up with all the smart kids, Y=MX+B (rpt)
It’s so simple you see come on and listen to me, you can do math as well as the re-est.
Math class you know the M stands for slope, I said math class now you don’t have to mope, come on math class you have reason to hope, it’s so easy when you sing out..
Math class B’s the y-intercept. Come on admit now, it’s not hard to accept. Math class you’ll do your math with more pep. It’s so easy when you sing out (5 beats)…
Y=MX+B (rpt)
21. Discriminant Song
B-squared minus 4AC, that’s discriminant you see. It will tell your right away how many roots you have today.
B-squared (rpt), minus(rpt)
Calculate B-squared minus 4….AC.
When discriminant turns out plus, there’s 2 solutions don’t you fuss.
But when it turns out nega…tive, there’s no solutions that’s no jive.
And if it turns out to be zip, there’s one solution, now get hip.
(chorus)
22. E Song
2.718281828459045 and then comes 23.
23. Tangent Graph
The itsy bitsy spider climbed up the tangent graph. When she reached infinity, she began to laugh. So at pi over 2 she slid down the asymptote, which wasn’t very hard because it didn’t have a slope.
When at the bottom, whe thought she’d try once more. She scurried up the tangent graph until her legs were sore. Then found an inflection point at a place that’s known as pi. She rested there a little while then hurried toward the sky
When she reached the top again, she found an email note…it said you’re at 3 Pi over 2, slide down this asymptote.
24. Calculus Medley
a) Derivative
Itsy bitsy y over itsy bitsy x. That’s the way derivative’s defined in our text. You take a little Y and divide a little X. Now you know derivatives, integrals are next.
b) Derivative Division
Ho ho ho di hi minus hi di ho.
That’s the numerator now divide by ho ho.
c) Integration Song
This is the way you integrate, (rpt twice)
This is the way you integrate polynomial functions.
Find the antiderivative, rivative, rivative, find the antiderivative of the polynomial function.
First you substitute B for X, (rp twice), first you substitute B for X in the …
Subtract you substitute A for X (rpt twice), subtract and substitute A for X in the…
Now you know how to integrate (rp twice), Now you know how to integrate a polynomial function.
MATH MADNESS 3
(SELECTED SONGS)
25. Call TI Joe
Do you want an A in math, call TI, TI Joe.
He’ll teach you how to draw a graph, call TI, TI Joe. With a graph graph here and a graph graph there, here a graph, there a graph, everywhere a graph, graph….do you an A in math…
You’ll also learn to guess and check call…with a check, check here…
You’ll learn to run a table too call…with a table here and a table there….
Next you’ll learn to work with lists, call TI…with a statplot here and a statplot there….
Programs you will want to share call…with a link link here and ….
26. Exponent Rules
Terms with exponents can be opponents depends on your point of view. Try to be cool memorize there 4 rules, exponents are healthy for you.
Rule1: To add or subtract your brain stays intact, there is no reason to squirm. See what’s the same, combining’s the game, exponents are healthy….
Rule 2. When you multiply common sense you defy, don’t do what you think you should do. Find common base, then add don’t erase, exponents are healthy for you.
Rule 3: Dividing’s a breeze, you can do it with ease, it’s like multiplying you see. Subtract from the top, you’d better not stop, exponents are healthy for you.
Rule 4: Raising to powers, used to take hours but now it’s a second or two. Just times the expos and stay on your toes, exponents are healthy for you.
27. Smile Song
To multiply binomials just S M I L E, oh…SMILE (rp twice), Just smile your way right through it.
28. Neg B over 2A
Negative B over 2A that’s the X value of the vertex. Now substitute into your function, and you’ll find the Y value next.
First X, then Y, the vertex now is in view..ew…ew. First X and then Y, it’s as simple as tying your shoe.
29. Matrices
Matrices, matrices do mathematics now with ease. Organize your numbers in nifty rows and columns, matrices, matrices.
Matrices, matrices, give dimensions if you please. Name rows and then name columns, rows and then name columns, matrices, matrices.
Matrices, matrices you can multiply with ease. If columns of the first match rows of the second, matrices, matrices.
Matrices, matrices, solve your systems now with ease. Inverse coefficient times matrix of the constant, matrices, matrices.
Matrices, matrices, use them when you’re in a squeeze. They have many uses now you’ve no excuses, matrices, matrices.
30. Max-Min Song
Did you ever go a fishin for a max or a min?
You turn on your grapher and you punch the function in.
Set a bound on the left and another on the right,
Take a wild guess and your point’s in sight.
Set a bound on the left, and another on the right, take a wild guess and…
31. Removable Discontinuities
Student: There’s a hole in the function dear teacher, dear teacher, there’s a hole in the function dear teacher a hole.
T: Then fill it dear student….
S: With what shall I fill it dear teacher…
T: With a point dear student…
S: But how shall I find it dear teacher…
T: By factoring dear student….
S: But how do I factor dear teacher….
T: Graph the function dear student…
S: But there’s a hole in the function dear teacher…
32. Statistics Medley
68-95-99.7. It’s such fun when we can run a normal distribution.
The mean follows the tail (rpt)…hi ho the derry oh the means…
The median runs away (rpt)…hi ho the derry of the median…
The mode’s at the top (rpt)…hi ho the….
Z equals X minus mu over sigma (rpt twice). That’s the way to find Z.
33. Z Test Song
Na na na na na….
Do we use a Z test, na na, na, na. Or should we find a T test, na na na na.
Ifyou know the sigma, na na na na, then it’s no enigma, na, na, na, na,….singing
First give me a Z score….from there I’ll find a p score….if the p is small…then throw away the null….singing
When population’s normal….the T-test won’t be harmful….Go on and find a T val….use your statistic know how…singing
From T you find a p-num….but you need degrees of freedom…Get n-1,…., the party has begun….singing
34. Number Cruncher
Well I saw this crazy thing coming out of the sky,
It was a little black box but it sure could fly.
It flipped off its lid and what did I see?
It looked like a number cruncher to me.
“It was a handheld, pocket-size, 50-
button number cruncher…(rpt twice)
Sure looked strange to me.”
It flew into my classroom and it sat on a chair,
I said Mr. Number Cruncher now don’t you dare.
I heard him say in a voice so gruff
I wouldn’t crunch you you’re not funky enough
“It was a handheld…”
I said Mr. Number Cruncher tell me what’s your line
He said crunching funky numbers and it sure if fine.
But that’s not the reason I came to this place,
I want to learn to draw a graph on my face.
“It was a keep you laughin, function
graphin, 50 button number cruncher.
Problem solvin, room revolving 50 button number cruncher.
I-love-math-class, 50 button number cruncher, sure looked strange to me.”
He threw himself on the ground and rolled all around,
Started cranking out graphs without making a sound.
He was a crazy little box who was off on a ride.
That little number cruncher now’s a grapher inside.
“It was a keep you laughin…”
35. Old Time Math…
Give me that old time mathematics (rpt)..it’s good enough for me.
It was good enough for Euclid, it was good for Archimedes, it was good enough for Newton and it’s good enough for me.