Specials

A location for "special" episodes, which are either separate from, or tangent to the series.
Liable to contain more math, hopefully some may act as an instruction guide.
001 - Song PARAdy: "Vertex" 
002 - Song PARAdy: "I Need A Zero" 
003 - Song PARAdy: "Edges are Glorious" 
004 - Lyn/Slope Talk: Exact Values of Fractions
005 - LYN Dance Parody: "Standard Form" 
006 - Singalong Parody: "Decimal" 
007 - Song PARAdy: "Call Her Sextic"          
008 - Song PARAB: "Y-Squared Tiles" 
009 - Song PARAdy: "Polynomials" 
010 - Song PARAB: "The Sine"
011 - Song PARAs: "Cosine It"
012 - Song PARAdy: "Don't Forget Tangent"
013 - Polynomials on Calendar: Leap Years
014 - Song PARAdy: "One Line"
015 - CIRCE Explains: Basic Trig
016 - CIRCE Explains: Reciprocal Trig
017 - CIRCE Explains: Inverse Trig
018 - CIRCE Explains: Older Trig
019 - Song EXPOse: "Merry Old Angle Zone"
020 - Maud on Video: Yes We Khan (Academy)
021 - Song PARAdy: "Exponential"
022 - Song PARAB: "The Medians"
023 - Singalong Parody: "A Squared Song"
024 - Video Parody Mashup: 3U
025 - Song PARAB: "Minor Axis"
026 - Song PARAB: "Choosing A Sample"
027 - Song PARAB: "Mean"
028 - Lyn/Slope Talk: Uncommon Denominators
029 - Song PARA3: "Makin' a Graph"
030 - Song PARAdy: "Matching Fraction"
031 - Song PARAdy: "When Can We Cancel"
032 - Song PARAdy: "Don't Stop With Reimann"
033 - Polynomials on Calendar: Around the World
034 - Singalong Parody: "O Factor Tree"
035 - Singalong Parody: "Polar Plot"
036 - Song PARAB: "It's Probability"
037 - Song PARAB: "They're Fractals"
038 - Song PARAB: "Permute"
039 - Song PARAdy: "MCF 3M Course"
040 - Singalong Parody: "Like a Bell"
041 - Song PARAdy: "Annuities"
042 - Song EXPOse: "Cubic Formula"
043 - Singalong Parody: "Do We Have a Square Here?"
044 - Song PARAB: "We'll Want Stats"

044-Song ParaB: "We'll Want Stats"

posted Jul 22, 2017, 1:23 PM by Gregory Taylor   [ updated Jul 24, 2017, 6:16 AM ]

PARAB SINGS 11

(y-k)2 - 4p(x-h)
 presents....

"We'll Want Stats"
  (*aka "I Want You", Savage Garden)

--------

An Official Video: YouTube Here
Source Lyrics Reference: YouTube Here
The JoJo Part 4 Ending: YouTube Here
This Song Parody: YouTube Here

***

Any time we need to count the ways
You can win a prize,
Or we are reading some essays
Where their data lies,
You should build a tree, or use Venn, so then
your math will look fine, and
we can show off your diploma.

Soon you want the web to explain,
Bias is a fright,
So check the numbers again,
You might have insight, as
To the graphs, and the source and the days,
For the sample that they drew,
Do your search terms control you?

Let’s check error margins closer
Let’s count to numbers much higher
You’ll see much more all around you
(Let’s) manage data.

[chorus:]
Ooh, we’ll want Stats
I don’t know if you’ll heed Stats
But, ooh, I’m dying to find out.
Ooh, we’ll want Stats
I sure know that you’ll need Stats
And, ooh, I’m trying to find doubt.


Normal distribution is pervasive
What does that mean,
The median is on report cards
So have you seen,
a percentile, or modes for fashion and more,
Now is this warranty poor?
Make your argument persuasive.

Roll a seven in this game we play,
which is in-dep-endent of what happened yesterday,
Classify by taking, our math symbols from the words,
As the polls get absurd, aren’t they checking
Who was voting last election?

Let’s check error margins closer
Let’s count to numbers much higher
You’ll see much more all around you
(Let’s) manage data.

[chorus:]
Ooh, we’ll want Stats
I don’t know if you’ll heed Stats
But, ooh, I’m dying to find out.
Ooh, we’ll want Stats
I sure know that you’ll need Stats
And, ooh, I’m trying to find doubt.

Oooh, yeah Stats. Oooh, yeah Stats.

Any time we need to count the ways
You can be surprised,
Or we are reading some essays
Where data’s disguised,
You should build a tree,
Or use Venn, so then
your math will look fine.
Make your arguments persuasive.

Roll a seven playing in this game,
which is in-dep-endent if it happens again,
Classify by taking,
our math symbols from the words,
with the poll, for the sample that they drew.
Don’t let search terms confuse you.

[chorus:]
Ooh, we’ll want Stats
I don’t know if you’ll heed Stats
But, ooh, I’m dying to find out.
Ooh, we’ll want Stats
I sure know that you’ll need Stats
And, ooh, I’m trying to find doubt.
So can we find doubt?

(Probability, Statistics.)
(Probability, Statistics.)


[chorus x2:]
Ooh, we’ll want Stats
I don’t know if you’ll heed Stats
But, ooh, I’m dying to find out.
Ooh, we’ll want Stats
I sure know that you’ll need Stats
And, ooh, I’m trying to find doubt.

Ooh, we’ll want Stats
I don’t know if you’ll heed Stats
But, ooh, I’m dying to find out.
 (I hope we’ll find out.)
Ooh, we’ll want Stats
I sure know that you’ll need Stats
 (I’m here to find out.)
And, ooh, I’m trying to find doubt.

043- SingAlong: "Do We Have a Square Here?"

posted Dec 24, 2016, 2:05 PM by Gregory Taylor   [ updated Dec 24, 2016, 2:39 PM ]

SING-ALONG 06

Math-Tans  present....

"Do We Have a Square Here?"
     (*aka "Do You Hear What I Hear?")

--------
     VIDEO OF THIS PARODY: YouTube Here
     Original carol from 1962: YouTube Here (call/response)
     Carrie Underwood version: YouTube Here (w/ instrumental break)

Shape has four sides, diagonals tease.
Do we see a square here? (Do we see a square here?)
Diagonals cross, at ninety.
Do we see a square here? (Do we see a square here?)
Maybe, don’t know. Though that angle’s right,
Could be rhombus, or merely kite.
Could be rhombus, or merely kite.


Here’s another quad, with attempts to please.
Do we have a square here? (Do we have a square here?)
There’s diagonals, equal length.
Do we have a square here? (Do we have a square here?)
Isos-celes trapezoid maybe?
Rectangle? No square guarantee.
Rectangle? No square guarantee.


Quadrilaterals we now find with ease.
Do we know our square yet? (Do we know our square yet?)
Here’s diagonals, bisecting.
Do we know our square yet? (Do we know our square yet?)
That cut, it shows, parallelogram,
We’d need more to say for certain.
We’d need more to say for certain.


(Key Change)
Equal lengths, bisect, at ninety degrees.
Testing for our square here! (Testing for our square here!)
All three things, diagonals bring.
Testing for our square here! (Testing for our square here!)
It’s found, and with, root two in hindsight,
Our regular quad’s come to light.
Our regular quad’s come to light.
(Do we have a square here?)


Previous XMas Specials:


042 - Song EXPOse: "Cubic Formula"

posted Dec 22, 2016, 11:46 AM by Gregory Taylor

EXPONA SINGS 02

abx + c  presents....

"Cubic Formula"
  (*aka "I Will Follow Him", Sister Act)

--------

Song in Context (end of movie):  YouTube Here
Karaoke Version: YouTube Here

This Cubic Song Parody:  YouTube Here
About Using the Formula: Blog Post Here

*****

Start with b times c.
It’s on six a-squared, now minus d...
On 2a, then minus b-cubed
On twenty-seven with a-cubed.
Let’s call that q? Agreed.

Take cube root of q -
as ADDED inside of this square root...
q squared, once it’s summed to this cube:
c on 3a, minus squared-b
on 9 squared-a’s!

We’re nearly half-waaaaaay!
TEMPO CHANGE

That square root, you ADDED, we’ll use it,
But now we will SUBTRACT it, still from q, cube root too!

(SOLO:)
This gives two numbers.
Kind of six... look, sum the cubes you know.
Then minus b on 3 with a,
We’ll set that to x and hurray! Wait, what was q?

(We’ll get it, we’ll get it)

We took b times c
   
(DUET: B times C!)
It’s on six a-squared, now minus d   (Oooh ooh!)
On 2a, then minus b-cubed   (B Cubed?!)
On twenty seven with a-cubed.
That we called q!
Used four times, it’s true!

(SOLO2:)
Whoa, yeah! Oh yes, solve cubics!
(Degree three!)
Four coefficients!
(Too much!)
Imaginary answers!
(So complex!)
You’ll wish you’d learned to factor!


That square root, you ADDED, we’ll use it,
But now we will SUBTRACT it, still from q, cube root too!
Gives numbers, so get their sum, minus b, on 3a,
Set that to x at leisure, or never, whateverrrr...

If you think that’s only one x,
Remember cube roots of complex!
Gives us all three!
All three solutiooooooons!



041 - Song PARAdy: "Annuities"

posted Dec 20, 2016, 1:18 PM by Gregory Taylor   [ updated Dec 20, 2016, 1:23 PM ]

PARA SINGS 14

ax2 + bx + c  presents....

"Annuities"
  (*aka "It's Raining Men", Weather Girls)
  (*BONUS: Geri Halliwell version)

--------

Official video: YouTube Here
Karaoke version: YouTube Here

Halliwell version lyrics: YouTube Here
Halliwell Karaoke version: YouTube Here


***

Hi - Hi!
Here’s your finance strand - Uh-huh.
And have we got maaaath for you - You better listen!
Get ready, all you interest fans,
And leave simple interest alone. - Alright!

A geometric sequence. - Geo sequence!
Has compound interest grow.  - Grow how, curl?
That exponential curve says, - What's curving now?
We can make lots of dough. - We better invest, yup
Yet to pay more than one time, in perpetuity,
And to sum up that sequence means,
We’ll get an annuity! (Get an annuity!)

Annuities! They use series’, annuities! Yes please!
I’m gonna pay out, with many intervals set,
And hope it keeps me out of debt!

Annuities! They use series’, annuities! Use your expertise!
Years? Months? Quarterly?
Change your ’n’ and then you’ll see!

Now in certain cultures,
This interest is an issue.
And so no investing,
But the math we can continue.
There are formulas here,
And rearranged or not,
You use them or T-V-M apps,
To find what sum we’ve got!

Annuities! They use series’, annuities! Yes please!
Annuities! They use series’, annuities! Yes pleeeeeease!

Watch out for the ann-u-i-ty due, and mortgages too,
Or-din-ar-y simple went unsaid,
But use your apps to work ahead. (But use your apps to work...)

Now in certain cultures, such interest is an issue.
And so no investing, but the math we can continue.
There are formulas here, and rearranged or not,
You use them or T-V-M apps, to find what sum we’ve got!
Oh, annuities! Yeah!

A geometric sequence.
Has compound interest grow.
That exponential curve says...
We can make lots of dough.
Yet to pay more than one time, in perpetuity,
And to sum up that sequence means,
We’ll get an annuity! (Get an annuity!)

Annuities! They use series’, annuities! Yes please!
Annuities! They use series’, annuities! Yes please!
Annuities! They use series’, oh whoa whoa - Annuities!


BONUS Gei Halliwell Version:

A geometric sequence. Has compound interest grow.
That exponential curve says, we can make lots of dough.
Yet to pay more than one time, in perpetuity,
And to sum up that sequence means,
We’ll get an annuity!
Annuities! They use series’, annuities! Yes please!
Annuities! They use series’, annuities! Yes please!

A geometric sequence. Has compound interest grow.
That exponential curve says, we can make lots of dough.
Yet to pay more than one time, in perpetuity,
And to sum up that sequence means,
We’ll get an annuity!
Annuities! They use series’, annuities! Yes please!

I’m gonna pay out, with many intervals set,
And hope it keeps me out of debt!

Annuities! They use series’, annuities! Use your expertise!
Years? Months? Quarterly?
Change your ’n’ and then you’ll see!

Now in certain cultures, this interest is an issue.
And so no investing, but the math we can continue.
There are formulas here, and rearranged or not,
You use them or T-V-M apps, to find what sum we’ve got!
Annuities! Go start saving net pay. I know you need to.

Watch out for the ann-u-i-ty due, and mortgages too,
Or-din-ar-y simple went unsaid,
But use your apps to work ahead.
(but use your apps to work)

Annuities! They use series’, annuities! Yes please!
Annuities! They use series’, annuities! Yes please!
Annuities! They use series’, annuities! Yes please!
(Repeat as needed)


040- SingAlong: "Like a Bell"

posted Dec 24, 2015, 5:34 AM by Gregory Taylor   [ updated Dec 24, 2015, 5:36 AM ]

SING-ALONG 05

Math-Tans  present....

"Like a Bell (Canonical), in Stats"
     (*aka "Pachelbel's Canon in D")

--------
     VIDEO OF THIS: YouTube Here
     Piano Guys Rock Canon: YouTube Here
     Comedy Rant about Pachelbel: YouTube Here

(Bar 1: Bass Line Throughout)
Distribution, 
Bell curve nickname.
Distribution, Gaussian fame.
Distribution, Bell curve nickname.
Distribution, Gaussian fame.

(Bar 5: Entry)
Normal curve here, Symmetry’s clear.
Normal curve here, Symmetry’s clear.

(Bar 13:)
Calculate the mean, that’s mu,
And variance, that’s sigma squared, too.
Calculate the mean, that’s mu,
And variance, that’s sigma squared, too.

(Bar 21:)
Now here’s the z-score. How far we’ll be,
In standard deviations from the centre with symmetry.
Now here’s the z-score. How far we’ll be,
In standard deviations from the centre with symmetry.

Range for z-scores: 
Three left, three right.
Subtract the mean, divide by sigma,
Standardizing’s insight.

Range for z-scores: Three left, three right.
Subtract the mean, divide by sigma,
Standardizing’s insight.

(Bar 37: Familiar Melody)
Sixty Eight Percent
If data’s one z-score out,
Ninety Five Percent
If data’s two z-scores out,
Nine-Nine Point Seven,
For data three z-scores out,
Leads to percentiles
Of that there can be no doubt!

Sixty Eight Percent
If data’s one z-score out,
Ninety Five Percent
If data’s two z-scores out,
Nine-Nine Point Seven,
For data three z-scores out,
Leads to percentiles
Of that there can be no doubt!

(Repeats as often as you like)

(Somewhere after bar 50:)
e, as base declared (as base declared)
Needs minus point 5, x squared
All divided by (divided by)
Square root of two pi

e, as base declared (as base declared)
Needs minus point 5, x squared
All divided by (divided by)
Square root of two pi

(Inexplicably at the end:)
Normal curve here, Symmetry’s clear.
Normal curve here, Symmetry’s oh so clear.


Previous XMas Specials:

039-Song PARAdy: "MCF 3M Course"

posted Jun 27, 2015, 6:18 AM by Gregory Taylor   [ updated Jun 27, 2015, 6:35 AM ]

PARA SINGS 13
(barely feat. Expona)
ax2 + bx + c  presents....

"MCF 3M Course"
  (*aka "Pop Music 101", Marianas Trench)

--------

Official video: YouTube Here
Live performance: YouTube Here

Source Lyrics video: YouTube Here

Amyte Piano Cover for Karaoke: YouTube Here

***

MCF 3M Course
Has functions at it’s source
That’s a special relation
So let’s learn, notation.

A line has range and domain
Those values we obtain
And then in the same vein SWAP...
Into quadratics.

[STRAND 1]
There’s our parabola,
Symmetry when we draw
The quadratic formula (yeah)
I love that (yeah) for solving

B-squared minus 4-a-c
The discriminant’s that easy
Don’t forget the vertex form
To give you the steps to transform

Three strands, nine expectations,
Watch the order of operations,
Practice those applications...
Functions galore!

Now here’s the ones you should quote:
The x-squared turns around we note,
Exponent x means asymptote,
Then sin(x), sin(x), sin(x), sin(x), sin(x)

Patterns can make this more clear,
Differences, ratios appear.
Work hard, right through ‘till end of year,
x-squared, exponents and sine x
x-squared, exponents and sine x

[STRAND 2]
Sine graph looks like a wave
Period we will crave
Amplitude, axis too
(Phase shift out of the blue)

If we model x as time
These circles are so sublime
Round and Round
 (yay! whoa!) ... oh yeah.

Then there’s cos and tan,
Triangles need a plan.
Proportions? Sine law then.
If not we’ll - need - co-sine - law.
(Tangent’s slope)

Three strands, nine expectations,
Watch the order of operations,
Practice those applications.
(Don’t forget - functions are relations!)

Whoa! Now here’s the ones you should quote:
The x-squared turns around we note,
Exponent x means asymptote,
Then sin(x), sin(x), sin(x), sin(x), sin(x)

Patterns can make this more clear,
Differences, ratios appear.
Work hard, right through ‘till end of year,
x-squared, exponents and sine x
x-squared, exponents and sine x

[STRAND 3]
There are exponent laws we can use.
There are exponent laws we can use.
There are exponent laws we can use.
IF we keep the SAME BASE.

The base is, the value, that gives us,
Growth or decay. (Yup)
We use percents, and as you sketch,
Y-intercept, relates to stretch.

[Expona Adds:]
Quick now, TVM app! Interest compounds, annuities that switch the formula map and get us to calculate...  (CA$H MONEY!)

F-F-F-Functions galore!

Now here’s the ones you should quote:
The x-squared turns around we note,
Exponent x means asymptote,
Then sin(x), sin(x), sin(x), sin(x), sin(x)

Patterns can make this more clear,
Differences, ratios appear.
Work hard, right through ‘till end of year,
x-squared, exponents and sine x
x-squared, exponents and sine x
(Oh. Yeah.)

(..... Graph!)

F of x, use F of x, use (It’s the notation) F of x, use F of x, use it.


038-Song PARAB: "Permute"

posted Jun 21, 2015, 8:03 PM by Gregory Taylor

PARAB SINGS 10

(y-k)2 - 4p(x-h)
 presents....

"Permute"
  (*aka "Can't Choose", JRDN ft. Kardinall)

--------

Official Video:  YouTube Here
Source Lyrics Reference:  YouTube Here
JRDN only, acoustic:  YouTube Here

***

(Ooooh.  Count up, count up, count up.)

[KARD:] (Woo hoo.)
I, can’t choose given infinite replenishment
One item I’ve taken, in a bin it is present,
But then that option we can still pick, total restart,
I’m stayin’ with all A’s, for my password, (that’s) not smart. (Yeah!)

Now pipe down, if the item disappears,
Then multiply, factorials,
Descending numbers here, but I can’t miss the ranks,
Since there’s order to use,
So when we work it out (see) I can’t choose.
(Woo, woo)


[JRDN:]
At a meet yesterday, saw them start to play,
and I said, “Nice lineup there.

“Do you know how many ways that
there’s a roster for this game
for your team, using due care?

Because I mean, positions we see here are clear,
I know: “The labels will create order, so now we won’t divide by what you take.”
I’m no fool.

{CHORUS:}
(Fac-Tor-I-Al.)
You divide who’s left out, that’s the law, that’s the law.
I’ll exclaim,
(Fac-Tor-I-Al.)
“I’m going to divide, and I did take some, ordering them all...”
I can’t choose (can’t choose, can’t choose, can’t choose)
Oh, I permute (permute, permute, permute)
All these things selected
But ranking’s not neglected
So I can’t choose (can’t choose, can’t choose, can’t choose)
Tell you what, we’ll permute.

Bought some fruit last week, and I got a critique.
Said, “In listin’ these all, well, can I count the ways with my technique?”
And I was told, “These three repeat, orange was used again.”
But I said, “Great, so if ordering stays, we divide by six then.”
I’m no fool.

{CHORUS:}
(Fac-Tor-I-Al.)
You divide copies out, that’s the law, that’s the law.
I’ll exclaim,
(Fac-Tor-I-Al.)
“I’m going to divide, and I did take some, ordering them all...”
I can’t choose (can’t choose, can’t choose, can’t choose)
Oh, I permute (permute, permute, permute)
All these things selected
But ranking’s not neglected
So I can’t choose (can’t choose, can’t choose, can’t choose)

It’s a permutation! (Count up, count up, count up)
Permutation! (Count up, count up, count up)
All these things selected
But ranking’s not neglected
So I can’t choose (can’t choose, can’t choose, can’t choose)
Tell you what, we’ll permute.

[KARD:] (Yeah)
Don’t know what to do
Thought I had a P not a C, but instead I’m here pickin’ randomly.
Yo, I’ll always take this and that, who cares what came last,
Yeah, it could’ve been first, that’s how I choose fast.
Now I divide two times, both numbers match my all (Ha!)
But remember there’s no bins here, close call. (Yep)
So I gotta use my head and bring some hope that I won’t arrange everything.

{CHORUS:}
I can’t choose (can’t choose, can’t choose, can’t choose)
Oh, I permute (permute, permute, permute)
All these things selected
But ranking’s not neglected
So I can’t choose (can’t choose, can’t choose, can’t choose)

It’s a permutation!
(Count up, count up, count up)
Permutation!
(Count up, count up, count up)
All these things selected
But ranking’s not neglected
So I can’t choose (can’t choose, can’t choose, can’t choose)
Tell you what, we’ll permute.

P, n then r
nPr
P, n then r
nPr
P, n then r
nPr
P, n then r

037-Song PARAB: "They're Fractals"

posted Mar 24, 2015, 6:50 PM by Gregory Taylor   [ updated Mar 24, 2015, 6:51 PM ]

PARAB SINGS 09

(y-k)2 - 4p(x-h)
 presents....

"They're Fractals"
  (*aka "I Love It", Icona Pop)

--------

Official Video:  YouTube Here
Source Lyrics Reference:  YouTube Here
Karaoke:  YouTube Here

***

I thought that Mandelbrot and Julia were such a yawn,
I saw they won't be on the test. I passed, I'm moving on.
I now admit, the truth of it, they're more than denouement.
I know they won't be on the test.
I don't care! They're fractals! Let's all share!


I thought that Mandelbrot and Julia were such a yawn,
I saw they won't be on the test. I passed, I'm moving on.
I now admit, the truth of it, they're more than denouement.
I know they won't be on the test.
I don't care! They're fractals! Let's all share!



{Refrain:}
You're on a Hilbert curve, I'm in the Koch snowflake,
You want Sierpinski cuts, but Cantor sets I make.
Your attractor is strange, Weierstrass can bewitch,
You're folding dragons up, but I'm done with this pitch.
They're fractals!


They're fractals!

I thought that Mandelbrot and Julia were such a yawn,
I saw they won't be on the test. I passed, I'm moving on.
I now admit, the truth of it, they're more than denouement.
I know they won't be on the test.
I don't care! They're fractals!
Let's all share! These fractals. Hausdorff it.
Be aware! They're fractals. Let's all share!

{Refrain:}
You're on a Hilbert curve, I'm in the Koch snowflake,
You want Sierpinski cuts, but Cantor sets I make.
Your attractor is strange, Weierstrass can bewitch,
You're folding dragons up, but I'm done with this pitch.

Be aware! They're fractals!
Let's all share! These fractals. Hausdorff it.
Be aware! They're fractals.
Let's all share! These fractals. Hausdorff it.
Be aware!

They're fractals!!


036 - Song PARAB: "It's Probability"

posted Mar 14, 2015, 6:26 PM by Gregory Taylor   [ updated Mar 16, 2015, 10:49 AM ]

PARAB SINGS 08

(y-k)2 - 4p(x-h)
 presents....

"It's Probability"
  (*aka "I'm Getting Over You",  Carley Rae Jepsen)

--------

Official Video:  YouTube Here
Lyrics Only Reference:  YouTube Here
Karaoke Version: YouTube Here

***

I wonder at first glance,
Will these events have any chance?
So we do some trials, get zero to one for each.
I ask now, what's defined?
I ask now, can these be combined?
And it goes awry, can you see the reason why?


When there's chances, for A and B,
Don't just multiply them, check if there's dependency!
No denying,
Since sets get changed,
Just keep glancing for the chances data's rearranged,

When finding Probability!
That's right, it's Probability!
Sit tight, for Probability!
In sight's your Probability! Probably. Probably.


Stuck counting real big sets,
And intersections they possess,
Know B has this chance but I'm seeing A came first.
It's more than a bit strange,
That I don't think my chances change,
But the more we try,
No, this you can't deny...


When there's chances, for A and B,
Don't just multiply them, check if there's dependency!
No denying (no denying),
Since sets get changed (since sets get changed),
Just keep glancing for the chances data's rearranged,

When finding Probability!
That's right, it's Probability!
Sit tight, for Probability!
In sight's your Probability! Probably. Probably.


That's right, it's Probability.
Sit tight, for Probability.
Delight in Probability. Possibly.


When there's chances, for A and B,
Don't just multiply them, check if there's dependency!
No denying (no denying),
Since sets get changed (since sets get changed),
Just keep glancing for the chances data's rearranged,

When finding Probability.


035-SingAlong: "Polar Plot"

posted Dec 18, 2014, 5:44 PM by Gregory Taylor   [ updated Dec 18, 2014, 6:52 PM ]

(For Christmas: Dec 18/14)

SING-ALONG 04

Math-Tans  present....

"Polar Plot"
     (*aka "Let it Go")

--------
Idina Menzel Version:

Official Video:
Karaoke:
THIS PARODY VIDEO:
Christmas Lights Version?


Each grid you try, will relate x and y.
Rectangular is that graph.
The system is Cartesian,
It’s the high school epitaph.
No other grids considered, they can be denied.
Is there nothing else? What will you decide?

Don’t need to know, don’t need to see,
Won’t be tested, but math means more, surely!
It’s not for grades, there’s no concern...
Well, why not learn...

Polar plot, polar plot!
Co-ordinate angle view.
Polar plot, polar plot!
Points the way with distance too!
I don’t care, math can be for play,
r with theta’s fun.
The x kinda bothered me anyway.

If r is now our distance, hypotenuse we find.
And the theta’s an inverse tan, our slope we’ve reassigned.
To convert back, it’s trig we’ll do, with r, cos theta, and sine too,
But there’s no need, as by degree...  You’ll see--!

Polar plot, polar plot!
Radians can be used as well,
Polar plot, polar plot!
This circle’s magic spell!
Functions curl, on this display,
r with theta’s fun!

It’s power can be seen
 for shapes we’ve not applied,
Cardioids, Spirals too
 as Archimedes once described,
And don’t stop searching
 for the ways these points are new!
Square root of minus one?
Yeah, we can graph that too!

Polar plot, polar plot!
No, you won’t find it on your test.
Polar plot, polar plot!
Please give your marks a rest.
Here’s a grid,
Shown in a new waaaay!
r with theta’s fuuuun.
The x kinda bothered me anyway.
     

--------
Demi Lovato Version:

Official Video:
Karaoke: 
THIS PARODY VIDEO:


Polar plot, polar plot,
Co-ordinate angle view.
Polar plot, polar plot,
Points the way with distance too.

Each grid you try, will relate x and y,
Rectangular is that graph.
The system is Cartesian,
It’s the high school epitaph.
No other grids considered, they can be denied.
Is there nothing else? What will you decide?

Don’t need to know, don’t need to see,
Won’t be tested, but math means more, surely!
It’s not for grades, there’s no concern.
Well, why not learn...

Polar plot, polar plot!
Co-ordinate angle view.
Polar plot, polar plot,
Points the way with distance too!
Functions curl,
On this display!
Polar plot, polar plot!
The x kinda bothered me anyway.

If r is now our distance,
  hypotenuse we find.
And the theta’s an inverse tan,
 our slope we’ve reassigned.
To convert these points right back, trig will be the key,
r cos theta, and sine too, but stay with degrees, you’ll see--

Polar plot, polar plot!
Radians can be used as well,
Polar plot, polar plot,
This circle’s magic spell!
Functions curl, on this display,
Polar plot, polar plot!
The x kinda bothered me anyway.

Cardioid. Spiral. 
Graph them upon arrival.
Roots with, a minus. See math that’s oh, so timeless.
So much you can show!!

Polar plot, polar plot.
Co-ordinate angle view.

Polar plot, polar plot!
Points the way with distance too!
Functions curl, on this display,
Polar plot, polar plot!
The x kinda bothered me anyWAY!

Background Vocals:
Cardioid. Spiral.
Graph them upon arrival.
POLAR PLOT!
Roots with, a minus.
See math that’s oh, so timeless.
Cardioid. Spiral.
Graph them upon arrival.
SPIRAL! POLAR PLOT!
Roots with, a minus.
See math that’s oh, so timeless.

Polar plot.


Previous Years: "O Factor Tree" ; "A Squared Song" ; "Decimal"


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