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Songs:

Solving problems with the percent proportion (tune: William Tell Overture

___ is ___ % of ___

___ is ___ % of ___

___ is ___ % of ___  ...    100!

(Then put the information from the problem into your "box" and solve the resulting proportion the way we learned in class.)

 

“? That’s Mathematics??”

http://www.youtube.com/watch?v=6FLGZtwfV3Y&NR=1

~~~

Counting sheep – when you’re trying to sleep

Being fair – when there’s something to share

Being neat – when you’re folding a sheet

That’s mathematics

 ~~~

When a ball – bounces off of a wall

When you cook – from a recipe book

When you know – how much money you owe

That’s mathematics

 ~~~

How much gold – can you hold – in an elephant’s ear?

When it’s noon – on the moon – then what time is it here?

If you could count for a year

Would you get to infinity – or somewhere in that vicinity?

 ~~~

When you choose – how much postage to use

When you know – what’s the chance it will snow

When you bet – and you end up in debt

Oh, try as you may -- you just can’t get away

From mathematics

 ~~~

Andrew Wiles – gently smiles – does his thing – and “Voila!”

Q-E-D –  we agree – and we all shout “Hurrah!”

As he confirms what Fermat – jotted down in that margin

Which could’ve used some enlargin’

 ~~~

Tap your feet – keep in time to a beat

Of a song while you’re singing along

Harmonize – with the rest of the guys

Yes, try as you may – you just can’t get away

From mathematics!

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“Divisibility Rules”       (Tune: The Ants Go Marching)

http://www.youtube.com/watch?v=1ffvCtNZN9Q

We only use the digital sum for 3 -- and 9

We only use the digital sum for 3 -- and 9

Not for 2 -- Not for 5 -- Not for 10

But 3 and 9!

And we all agree that “Divisibility Rules!

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Hopping on the Number Line    (Integers)

http://www.harcourtschool.com/jingles/jingles_all/5hopping_number.html

Integers, integers,
They're the set of whole numbers and their opposite numbers.
You can show them on a number line.
You can add and subtract them on a number line,
Hopping on the number line (Hop! Hop!)
Hopping on the number line.


A two with a positive sign before it is a positive integer.
How do we say it? "Positive two."
Its absolute value is two because it's two units from zero,
Hopping on the number line.

A two with a negative sign before it is a negative integer.
How do we say it? "Negative two."
Its absolute value is two because it's two units from zero,
Hopping on the number line.

            Repeat chorus.

Positive two and negative two are opposite integers.
They each have the same absolute value,
Their absolute value is two, (two)
They're the same distance from zero,
Hopping on the number line.
      (But in opposite directions!)

Note: There are 2 more verses to this song regarding adding/subtracting integers that had awkward wording with the potential for confusing students, and I chose to leave them out.

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MATH JINGLE Christmas medley sing-along with lyrics - “Solving Problems” (Jingle Bells) and “Equations” (Deck the Halls): http://www.youtube.com/watch?v=G7oPdt8h2Nk&feature=related

 

 

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­

Oh Number Pi (3.14…)
 ("Oh Christmas Tree")
 
Oh, number Pi, you circle guy,
Your digits are unending,
Oh, number Pi, you circle guy,
No pattern are you sending.
You're three point one four one five nine,
And even more if we had time,
Oh, number Pi,
You circle guy,
Irrational, well-rounded.
 
Oh, number Pi, you doughnut guy,
You are a number very sweet,
Oh, number Pi, you doughnut guy,
Your uses are so very neat.
There's 2 Pi R, circumference
And Pi R squared for area
Oh, number Pi,
You doughnut guy
We know that Pi's a tasty treat.
 
Circle in the Sand 
("Jingle Bells")
 
Circle in the sand (or snow),
Round it I ran one time.
That’s called circumference
Diameter times pi!
 
I want some pizza pie
And Pi r squared, I’ll use,
To find its area
And chase away the blues. (refrain)
 
Refrain:
 
Oh, Pi day songs, all day long.
Well-rounded? Yes, sir-ree.
Oh, what fun to raise our scores
And ace the M-C-T. (Repeat )
 
The Triangle Song  
... scroll down to the next one if you need help with the tune...

(jingle from the Oscar Mayer bologna commercial)
Note: Underlined words are where voice drops to a lower note.

If you have three sides the same in length, it’s equilateral
If you don’t have any sides the same then you call it scalene
But the one that ends up hard to spell…
(slowly) Two sides the same, you know it well……  It’s……
I – S – O – S – C – E – L –E –S
And it’s isosceles.

(See below for more help with how to sing this song.)
 
 

Mean, Mode, Median, Range ("Frere Jacques")  

Mean means average.

Mean means average. 

Mode is most.

Mode is most. 

Median is in the middle.

Median is in the middle. 

Range is spread.

Range is spread.  

 

The Triangle Song  (Words from the Oscar Mayer bologna commercial are in parentheses)

If you have 3 sides the same in length, it's equilateral.   (My bologna has a first name, it's O-S-C-A-R.)

If you don't have any sides the same, then you call it scalene. (My bologna has a second name, it's M-A-Y-E-R.)

But the one that ends up hard to spell...  (I like to eat it every day...)

(slowly) ... 2 sides the same, you know it well ...     (and if you ask me why I'll say ...)

It's ..........  I-S-O-S-C-E-L-E-S  and it's isosceles.  ( 'cause ... Oscar Mayer has a way with B-O-L-O-G-N-A.)

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Memory Tips

1.  CHANGING BETWEEN DECIMALS AND %:

The DP trick:  Write D and P in alphabetical order with arrows between them and a number 2 between the arrows:

 

D <-- 2 --> P

 

To change decimal (D) to percent (P) move the decimal point two places to the RIGHT.

            Example:    0.25     =      25 % 

            Example:     1.0       =    100 %

            Example:    3.5       =    350 %

To change percent (P) to decimal (D) move the decimal point two places to the LEFT.

            Example:     7 %      =     0.07

            Example:   12.5 %    =     0.125

            Example:    0.5 %     =     0.005

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2.  Adding Integers:

    * Same signs: add and keep the sign.

    * Different signs: subtract and use the sign of the "bigger #" ("bigger" meaning the number with the "higher absolute value" -- in other words, the number that is farther from zero).

3.  Subtracting Integers

First rewrite the subtraction problem as an addition problem. The first number in the subtraction problem is "written in stone" and does not change. Change the minus (subtraction) sign to a plus (addition) sign. Change the second number to its opposite.  Then use the rules for adding integers as shown in section 2 above.  So the memory tip for subtraction is:

Written in stone ..... minus to plus ..... opposite

Example:  -7 - 6   becomes   -7 + (-6)  which equals  -13.

Example:   - 8   becomes   + (-8)   which equals   -3.

Example:   -2 - (-9)   becomes   -2 + 9   which equals   7.

4.  Multiplying and Dividing Integers

"Good Guy-Bad Guy" memory tip examples are shown below for multiplying integers but also follow the same pattern for dividing integers.

Like signs  -->  positive answer: 

( + ) times ( + ) =  ( + )                Positive times Positive = POSITIVE 

Memory tip:   If a good thing (+) happens to a good guy (+),  that's  GOOD (+).

                                      AND...

( - ) times ( - ) =   ( + )                 Negative  X  Negative = POSITIVE

Memory tip: If a bad thing (-) happens to a bad guy (-), that's GOOD -- he got  punished!

Unlike signs  -->  negat ive answer:

 ( + ) times   ( - )  =  ( - )              Positive x Negative = NEGATIVE)

Memory tip: If a good thing happens to a bad guy, that's BAD.  (A bad guy shouldn't be rewarded for being bad!)

                                        AND...

(- )times( + )   =  ( - )                      Negative times Positive = NEGATIVE

Memory tip:  If a bad thing happens to a good guy, that's BAD.   (A good guy shouldn't be punished for being good!)

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