Intro Question: Eight Coins
1. Order of operations
http://static.themetapicture.com/media/funny-casio-math-calculators-different-answers.jpg
so what it the order that you know?
PEMDAS
GEMS
How did it come about?
because. seriously.
that being said, let's think what the structure DOES:
grouping (parenthesis)--"hey, this is more important! look over here!"
exponents (I represent multiplication--which you are going next--but don't use the number. Let's uncomplicate that"
multiplication and division. Same thing, really. though multiplication can be considered iterated addition
addition and subtraction ... same thing again!
let's talk the difference between fractions and division
it's all in how we consider our answer. A candy bar broken in eight pieces--is the answer 8 new wholes, or is each 1/8 of what we used to have before we were nice and shared?
2. Fractions
dividing by zero
multiplying fractions
dividing fractions
adding and subtracting fractions
IMPROPER FRACTIONS > MIXED NUMBERS.
3. Solving Literal Equations
Start with an easy equation: 3x+5=11 . This even ends in a whole number to make you happy.
Now let's go to 3x+y=11