2-Step Equations
Download: mp3 and materials on Discovery Streaming
Download: The Two Step Teacher Guide.pdf
What should I deal with first?
I’ve got the plus or minus thirst
We see 8 which equals 2 times X minus 4
Use the inverse
Add a 4 to every side
And Watch them cancel on the right
Hey add this 4, 8 don’t be shy
Chorus:
What you do to one side
You gotta do to the other
If you’re subtracting something here
Then you subtract the same number
To isolate the variable
Behind the equal sign, sign, sign
Just do the two-step, ya’ll
To solve this equation
Undoing what’s been done
By using inverse operations
Just isolate the variable
And tell us what you find, find find
Behind the equal sign
In step two we multiply or divide
And operate the inverse, fine
Now 12 which equals 2 times X
Divide the 2 on every side
Creates a fraction on the left
And it cancels on the right
Now take the 12 over the 2
And simplify
You’ll wanna check your answer
By substituting the value of X
Back into the original e-equation
The two expressions should be equal now…
Number System
Download: mp3 and materials on Discovery Streaming
Download: Little Subset Teacher Guide.pdf
Give me a number that’s rational
Like any fraction that hurts
Accepting positive or negative
Are you ready…for two thirds?
Or I’ll take the terminating decimal
.15, it will be
If it’s repeating, it’s sensible
So How about, .333333333
Chorus:
Hey little subset, I’m a real number
The big super-set, rational and irrational
Hey smaller subset
You call this place an integer?
It’s bigger than the whole numbers
and counting without the zeros
A rational subset are integers
They walk this number line
Go both directions from zero
They go left, they go right
Now, take the positive integers
And let’s give them a name
zero, 1,2,3,4,5 etc…
That’s the whole number game
Bummed irrational numbers
Feel such heavy shame
They’re real, but that’s just not the same
They envy subsets that complain
So they complain
blah blah blah blah blah
We can’t be written as fractions
Else we’d be rational
We don’t repeat and/or terminate
Like Pi, 3.14159265…
Integers
Download: mp3 and materials on Discovery Streaming
View: On the Number Line - Kinesthetic Lectures
Download: On the Number Line Teacher Guide.pdf
1st verse:
Two different integers, the same sign
Lets say they’re both solid negative
Further left when simplified
When it’s the same sign, they combine
Express negative 3 and negative 5
Which is negative plus a negative
These two integers combine
To negative 8 when simplified
Chorus:
Oh, what’s the operation
addition, subtraction, multiplication, or division
Signs signs to tell your destination
Oh..on the number line
Yea, same signs combine yea they add together
Different signs are absolute
When we know which is bigger
One different sign can make it negative during division
And when we multiply on the number line
2nd verse:
Two different integers with different signs
Let the absolute tell you
Which is bigger by how much, this time?
Keep the sign of larger value
Express 7 and negative 9
9 is greater in the absolute
All we need to do is simplify
And we’ll find negative 2
Bridge:
So, yea multiply and/or divide
If they’re the same sign
We’ll be positive
If it’s a different sign
This will all go negative