Triangle area, OK?
That’s just 1 ⁄
2
b x h ,
And we get it every day and night,
1 ⁄
2
times the base and height. (2x)
A triangle is a three-sided shape,
That can be different, they don’t look the same.
Whether it’s equilateral, isosceles or scalene ,
To find the area, you just do the same thing.
First find the base, pick any side,
Usually we pick the long one though, that’s alright .
The length of the base, we’ll call that b,
Now we need the height, and then you see.
The height is the distance from the base
To the top of the triangle. But wait,
It has to be measured at 90 degrees ,
Don’t go drawing random lines all around - that’s weak.
So the height might be in the middle of the shape,

or outside the shape or the side, OK?
Either way, you see the height is h.
Next up, the formula is what I might say, hey:
Triangle area, OK?
That’s just 1 ⁄
2
b x h ,
And we get it every day and night,
1 ⁄
2
times the base and height. (2x)
Let’s see why it’s this way ,
It’s not just random, that’s insane.
Take your triangle, make a copy please,
Then rotate that at 180 degrees .
Put them together, and what do we see?
That’s a parallelogram, boy easy ,
Now let’s keep it going, alright?
Slice the triangle right at the height,
Put it on the other side, too hot to handle,
Look at this, we just formed a rectangle.
Yeah, that’s a simple shape,
The area of that would be b times h,
So the one triangle is just half that ,
I’ll break down these facts and leave 'em in a cast.
Keeping digging if you need more info,
Flocabulary, making math so simple.
Triangle area, OK?
That’s just 1 ⁄
2
b x h,
And we get it every day and night,
1 ⁄
2
times the base and height. (2x)

“Uncle Ricky?”
Yes, youngins?
“Would you tell us that story about Pythagoras?”
Ah, and the Pythagorean Theorem?
“Yeah!”
Ok, gather round.
“Ok.”
Let’s go.
Let me tell you 'bout a man named Pythagoras ,
He was a mathematician, but way past the average.
Everywhere you go, you can hear people cheer him,
'Cause everybody's using the Pythagorean Theorem.
How do you do it? Well it's not hard,
All you need is a right triangle to start.
Yeah, the two short sides are legs,
The long side has a different name instead:
The hypotenuse , and in case you get tangled,
It's the side that's always across from the right angle.
So you got three sides, but you only know two,
This is where Pythagoras knew what to do.
He named the two short sides a and b,
And he called the hypotenuse c .
Then he fit all of it into an equation,
And it became the theorem that's sweeping the nation!
We're doing the Pythagorean Theorem, haven't you heard?
When you know 2 sides, you can find a 3rd . a 2 + b 2 = c 2
Solve for any one, then you're almost done.

'Cause when you get your answer, you're still not through,
Don't forget that you've gotta solve for the square root !
True, now check out this day in the life of Pythagoras and see how he used math.
Pythagoras was playing baseball with his peeps ,
At second base and his throw had reach.
You see he knew that he was 90 ft from first base,
But he wanted to see how far he was from home plate.
From home to first was another 90 ft,
So it looked like his equation was complete.
90 2 + 90 2 = c 2
Take the square root of c 2 then we're home free, yeah.
When the game was done, Pythagoras took a walk,
And he saw a building on fire, right down the block.
The people inside were trapped 40 ft up,
The fire truck was 30 ft away and it was stuck.
Time to find the hypotenuse, there it is!
And the Pythagorean Theorem's what we've got to use,
30 2 + 40 2 = c 2
Solve for c, that's the size of the ladder that we need, right?
"Yeah, it was crazy Pythagoras went from playing baseball to saving people from a burning building and the whole time he used math . That’s why..."
We're doing the Pythagorean Theorem, haven't you heard?
When you know 2 sides, you can find a 3rd. a 2 + b 2 = c 2
Solve for any one, then you're almost done.
'Cause when you get your answer, you're still not through,
Don't forget that you've gotta solve for the square root!
True, and don't forget those Pythagorean triples if you want to be a real whiz. You know:
3, 4 and 5.
5, 12 and 13.
And 7, 24 and 25.
They even wor k in multiples, too. That’s how you do the Pythagorean Theorem in style. You dig?

You guys should really start getting the volumes of all these shapes. Like the cone or a cylinder or a sphere. Yeah!
You bet! Get a shape’s volume,
A sphere is 4 ⁄
3
πr
3 ,
πr
2 h, that’s a cylinder,
A cone is a third of cylinder. (x2)
Sphere:
Who’s balling like the NBA?
I’m a sphere, and I get around everyday.
If you measure me in cubic units ,
You’ll get the volume inside, that’s how we do this.
It’s 4 ⁄
3
πr
3 ,
For sure I’m smart just like a nerd.
It’s 4 ⁄
3
πr
3 ,
The r is my radius, we are the craziest.
Cylinder:
Hey, yo! Who wants to battle me? I’m shaped like a battery,
A cylinder is stacked circles , yeah exactly.
I’m the one that these knuckleheads love to hate,
My volume is πr
2 h ,
Now ain’t that great?
Cylinder volume is πr
2 h.
I’m in the shape of a cup,
Claim victory and y ou’ll be raising me up.
Cone:
Yeah, I’m a cone, I catch scoops,

When I line up on the street, you don’t pass through.
My cone volume? Huh, tell your minister,
It’s just 1 ⁄
3
the volume of a cylinder,
Yeah, coneheads get it straight,
That’s 1 ⁄
3
πr
2 h ,
Come find me on Coney Island,
With my cyclones... now bring the hook back.
You bet ! Get a shape’s volume,
A sphere is 4 ⁄
3
πr
3 ,
πr
2 h, that’s a cylinder,
A cone is a third of cylinder. (x2)
Yo on the real, my life is crazy like in movies,
I've been searching for years for gold, jewels and rubies.
I finally have a treasure map, and it’s old,
I’m in the Dungeon of Axes, and it's cold.
And it’s booby-trapped so I need to know,
Where to find the traps and where to find the gold.
Lucky for me, my map? It glows,

It’s a coordinate plane , let’s see what it holds:
The x -axis is a number line ,
It goes across the map, it’s really wide.
And the y axis isn’t wide, it’s tall ,
It goes up and down my map, that's all.
Where they cross? That’s the origin ,
Where I entered the dungeon, and where I begin.
That’s where x = 0, and y does too,
If I didn’t understand that, I wouldn’t have a clue.
Feeling richer than a boss,
My x-axis goes across,
My y-axis, it climbs.
So when I graph, I graph (x,y),
And get paid on a plane, now let’s ride...
Yeah, so my graph is empty... but wait!
Below is a list of things that I need to locate :
There is a pit at (2,5),
What does that mean? If I don’t know I might die.
Then I see it says ( x , y ),
So the x -coordinate is first, and then y ,
So (2,5)? I count 2 to the right,
Then I count 5 up on the y, alright.
Right there, is a point, that would be a pit,
I put P on the map, yeah that’s it.
There’s a swinging blade at (3,1),
So I count 3 on the x -axis, son.
I count one up on the y,
I put a B for blade on the spot, no lie.
(2,5) and (3,1) are both ordered pairs,
A pair of numbers that will show me where.
The treasure itself is at (3,6) ,
I plot that point on the map real quick.
And then I count out my steps,
Until I see so much gold that it takes away my breath.
Feeling richer than a boss,
My x-axis goes across,
My y-axis, it climbs.
So when I graph, I graph (x,y),
And get paid on a plane, now let’s ride...

Flocabulary. Circles. You know how we roll.
You can see me spinnin' on the car,
Circumference = 2πr
I roll with it, boy I’m not scared,
Area = πr
2
Squares are square, maybe you’ve found ,
I’m not that, you know I get around.
I’m a circle, you know the shape,
But let me tell you what makes me so great.
The distance from my center to my outside,
It’s the craziest, we call that radius .
All you need in your life and times,
Is the length of my radius and you need π.
Why? With those two you can find,
The circumference of a circle, and that’s no lie.
You can find the area too,
Just follow me, and do what I do.
The circumference is the length all around my outside ,

To figure it out just multiply
The radius by 2 and by π.
That’s the circumference, my oh my.
You can see me spinnin' on the car,
Circumference = 2πr
I roll with it, boy I’m not scared,
Area = πr
2
Hold up, you want to know how much space
You can find inside of me? Well, OK.
Memorize the formula , so it’s not a barrier,
πr
2
, that’s my area.
So let’s see, if my radius is 5 ft,
Then what would my area be?
πr
2 and r = 5 ft,
So r 2 = 25 ft 2 .
And π is close to 3.14
,
So let’s use that as the value for sure.
3.14 · 25 ft
2 = 78.5 ft 2 .
Now, all you need in your life and times,
Is the length of my radius and you need π.
My radius, that’s just 1 ⁄
2
my diameter ,
Like a boss, 'cause you’re talking to the manager.
You can see me spinnin' on the car ,
Circumference = 2πr
I roll with it, boy I’m not scared,
Area = πr
2
Next

In a distant, dark future, the corporation rules all. One man fights against this faceless organization.
They snatched me off the streets, put me in a van,
Blindfolded, rope tied around both my hands.
I’ve been imprisoned in a rectangular prism,
It’s a 3-D rectangle , and listen :
They told me each day, they’d add 90 ft
3 of water
To the cell, until it fills and I’m a goner.
I need to know just how long that will take 'em,
So I need to figure out the volume of the prism.
I’ll start by getting the area of the floor space,
That’s length times width, the area of the base.
I pace along the wall, it’s about 12 ft,
I walk along the othe r wall, that’s 6 ft.
So Base Area = lw ,
I won’t call it quits,
That’s just 12 ft · 6 ft = 72 ft
2 ,
I measured it right,
But it’s gonna be tough to measure the height.
Until I see stones that are placed in the wall,
Each stone is about 2 ft tall.
I count the stones to the top, I count
5 · 2 ft = 10 ft high.

The volume of a prism is area of the base times the height ,
I know it so I get it right.
That’s 72 ft
2
· 10 ft, are you ready?
In cubic feet, that’s 720 ft
3 .
If they add 90 ft 3 of water every day,
720 ft 3
÷ 90 ft
3 /day = 8 days.
That’s it, how long I have to escape,
From the prism, so I need to find a way...
You’re in a prison and you’re scared like it’s all doom,
Well I guess you need to figure out
The volume of a rectangular prism or cube,
Volume = lhw .
You’re in a prison, yeah there’s nothing scarier,
If you need to figure out the surface area.
Add the area of all the faces,
Face it, they build a lock, you’re gonna break it.
So you all know I was trapped in a box,
But I escaped, now I’m out wrapping a box.
A present for my enemies, nothing’s scarier,
I need to measure the outside, the surface area.
It’s just all the faces added ,
And there are 6 faces, but here’s the magic:
3 different faces and each has a twin ,
We only need to measure 3 faces to begin.
Length times width plus length times height,
Plus width times height, but to make it right,
Multiply that by 2 for the opposite faces,
A gift for the guys who left me in this place, yes.
Make no mistake:
Surface Area = 2( lw + lh + wh ) .
I’m not wrapping a bomb, I’m wrapping a note,
Telling 'em that I’ll die for my freedom, no joke!
You’re in a prison and you’re scared like it’s all doom,
Well I guess you need to figure out
The volume of a rectangular prism or cube,
Volume = lhw .
You’re in a prison, yeah there’s nothing scarier,
If you need to figure out the surface area.

Add the area of all the faces,
Face it, they build a lock, you’re gonna break it.
My mom told me to get in shape. So I climbed up into a triangle . My dad said he’s out of shape. He looks a little bit like a rhombus.
Yeah, shapes in the place.
Got some shapes in your face.
We’ve got the shapes in the place.
Let’s say one line is riding along,
Going straight as lines like to do.
He meets up with his friend, Hanzel,
And where they meet they form an angle .
Angles are measured in degrees,
Spin all the way around, that’s 360 .
If you take a right turn that’s 90,

So a right angle has 90 degrees .
A right angle, that’s what you get in a square,
You might even find it in a triangle,
If it’s less than 90 degrees, it’s acute ,
I f it’s more than 90, it’s obtuse ,
If it’s less than 90, it’s acute,
If it’s more than 90, it’s obtuse,
If it’s 90, then it’s right,
You know it’s nice, and yeah it’s right.
Oh w e’ve got some shapes,
Coming all up in the place.
You know? Yeah I know,
So get ready for the next episode. (x2)
A square is a 4-sided shape,
With 4 right angles and 4 equal sides,
So you can spin it like a top (top),
And when it stops (stops) it’s going to look the same.
A rectangle is a 4-sided shape,
With 4 right angles,
So a square is a kind of rectangle,
But not all rectangles are square, is that clear?
A parallelogram is a 4-sided shape,
With two pairs of parallel sides,
So a square? Yes. A rectangle? Yes.
A rhombus? Yes. Those are all parallelograms.
A rhombus is a 4-sided shape,
Where every side is the same length,
So a square is a kind of rhombus,
So is a diamond, I’ll keep rhyming.
A trapezoid is a 4-sided shape,
With one pair of parallel sides,
So it looks kind of funny sitting there,
A trapezoid is definitely not a square.
Oh we’ve got some shapes,
Coming all up in the place,
You know? Yeah I know,
So get ready for the next episode. (x2)

You know, I figured out how to memorize the metric system. It’s all based on powers of ten. So you just need to memorize a couple Latin prefixes and then you can measure anything. Just remember
King Henry. Oh, you don’t know about King Henry? Listen up:
King Henry Died Drinking Chocolate Milk,
King Henry Died Drinking Chocolate Milk,
King Henry Died (Base!) Drinking Chocolate Milk ,
King Henry Died (Base!) Drinking Chocolate Milk!
It goes: Kilo, Hecto, Deca, (Base!)
Deci, Centi, Milli, wait.
Kilo, Hecto, Deca, (Base!)
Deci, Centi, Milli.
King Henry ordered cocoa by the kilogram ,
That’s 1000 grams, we could barely fit it in the van.
The driver drove over a hectometer ,

100 meters, with no AC in a two seater.
I was feeling like a joker in a deck of cards,
Milking cows by the decaliter in the barn.
10 liters at a time, when I
Saw the van driver and gave her a piece of my mind.
I whispered at a decibel , 1 ⁄
10
of a bel,
Saying that King Henry wasn’t checking his health.
She made her fingers small like a centimeter ,
1 ⁄
100
of a meter, and said, please believe her:
“If he gets this much bigger, he might explode.”
I agreed, even a milligram of cocoa,
1 ⁄
1000
of a gram, might change the throne,
'Cause hot chocolate can make a king turn cold.
King Henry Died Drinking Chocolate Milk,
King Henry Died Drinking Chocolate Milk,
King Henry Died (Base!) Drinking Chocolate Milk,
King Henry Died (Base!) Drinking Chocolate Milk,
It goes: Kilo, Hecto, Deca, (Base!)
Deci, Centi, Milli, wait.
Kilo, Hecto, Deca, (Base!)
Deci, Centi, Milli.

Hey, um, are y’all ready?
I’d like to say hi! My name is Penny .
I’m the color of copper, kind of red,
But I don’t let that get to my head.
I’m only worth one cent, yeah, just one,
But I make change,
And I get the job done.
For all the scholars,
If you wanted a dollar, gee!
You would need 100 copies of me!
Up next on the mic? I’m a nickel ,
I’m worth five pennies, it’s that simple.
I’m colored silver, second-biggest in size,
Two of me, that would be worth a dime.
Yes, I’m a nickel,
The coin worth five cents,
Bet you didn’t know
I knew how to rhyme.
You can flip me and get heads or tails,
I’ll still be a nickel, can’t you tell?
I’ve got money, money, money,
I’ve got money, money, money.
It makes sense that I get paid,

Dollars and cents just make me say... (x2)
Say what?
Come on, pass the microphone,
Dude, I’m a dime ,
Worth ten cents, and I’m right on time.
I’m the littlest coin, but worth more
Than a penny or a nickel, yeah, for sure.
I’m worth ten pennies, or two nickels,
I’ve got a New Deal for you, it’s simple:
Take ten of me and you’ve got a dollar,
Dimes make all the dudes holler! Holler!
You want the biggest coin
People use on the daily?
They call me Quarter , my life’s crazy.
Worth twenty-five pennies,
Twenty-five cents,
I’m large and strong, I don’t get bent.
A quarter of a dollar, so it takes four
Of me to make a dollar,
If you’re at the store.
Take a look at me if you dig
A picture of George Washington
Wearing a wig.
I’ve got money, money, money,
I’ve got money, money, money.
It makes sense that I get paid ,
Dollars and cents just make me say... (x2)
Check me out y'all
My name’s Bill , I’m one dollar ,
Made out of paper, I must be a scholar.
Worth 100 pennies or four quarters,
I’m pretty, just look at my four borders.
I’m a five-dollar bill ! Hi, I’m Abe Lincoln,
You think I’m worthless?
What’s your brain thinking?
I’m worth five dollars or 500 cents,
My head is big, yeah, so are my friends’!
Ten-dollar bill here, for all to see,
If you love colored paper,
You’ll just love me!

OK, enough, guys! Yeah, that’s plenty,
I’m worth more than y’all, I am a twenty .
What about me? I think I’m rather nifty,
I’m not twenty, kids, I’m fifty .
We’re 100-dollar bills ,
You better let us in!
’Cause don’t you know,
It’s all about the Benjamins!
Benjamin Franklin : He’s on my face,
I’m the biggest bill in this place, ha!
That’s money, but it’s not funny to me,
You need to work hard,
’Cause it doesn’t grow on trees.
You hear?
I’ve got money, money, money,
I’ve got money, money, money.
It makes sense that I get paid,
Dollars and cents just make me say... (x2)