Tyler Bratton Math 251

Properties

Communitive Property

a*b=b*a

Associative Property

a(b*c)=(a*b)c

Identity Property

a*1=a

Distributive Property

a(b+c)=(a*b)+(a*c)

Models

Repeated Addition Model

Drawing out one number by the amount of another

4*3=4+4+4

Array/Area Model

Drawing a box with the height one number and the width the other, breaking them down to solve the area

Tree/Combinations Model

Partial Products

Like the traditional model except the zero is not dropped, the intagers are multiplied then added up at the end

Ratio Table

A table is drawn one number is slowing multiplied by smaller number until then other number is reached to easily find the answer

Models

Number Bonding

Breaking down the larger number to multiples of the smaller one

1512/3 1512 can be broken down to 1500 and 12 which are easy to divide 3 by

Repeated Subtraction

Drawing the smaller number as whole pieces until the amount of them reaches the larger number

48/6 6,6,6,6,6,6,6,6

Using Multiplication

Area Model

Partial Quotients

Using the "long seven" method guess multiples and then subract to get easier numbers to work with

Ratio Table

Using the smaller number to find its multiples until the larger number is reached, a guess and check using mulitiplication

Addition

Posiitve + Positive

Positive

Negative +Negative

Negative

Positive + Negative

Negative or Positive

Negative + Positive

Negative or Posiitive

Subtraction

Positive - Positive

Positive or Negative

Negative - Negative

Positive or Negative

Positve - Negative

Positive

Negative - Positive

Negative

Multiplication

Positive * Positive

Positive

Negative * Negative

Positive

Positive * Negative

Negative

Negative * Positive

Negative

Division

Positve / Positive

Positive

Negative / Negative

Positive

Positive / Negative

Negative

Negative / Positive

Negative