Quotative vs Partitive Division

Being that this does not even ring a bell from my elementary school years I thought I would look into it a little further.

QUOTATIVE:
DEFINITION:
Quotative division involves taking a set of size A and forming groups of size B. The number of groups of this size that can be formed, C, is the quotient of A and B.
QUESTION TO ANSWER:
Do you know how many belong in each group and are you trying to decide how many groups you have?
QUOTIENT:
Number of parts

PARTITIVE:
DEFINITION:
A partitive division problem is one where you know the total number of groups,and you are trying to find the number of items in each group.
QUESTION TO ANSWER:

Do you know how many groups you have and are you trying deciding how many in each group?

QUOTIENT:

The size of each part

I need a mnemonic to remember the difference for sure.  

Basically Part= size, Quot = number but need to think of how to remember this.  Will come back to that!

For a little in class action, role playing out word problems is a good way to start, using students and props in the real world problem.  

Example: Call up 5 volunteers.  Each student is 1 group.  

There are 15 small pumpkins.  

Ask the class how many pumpkins each volunteer will receive.  

Is this Partitive or Quotative??

PARTITIVE!  We are thinking of the SIZE of the parts.  We already knew we had 5 parts volunteers)

15/5= 3 pumpkins for each volunteer

Example of a word problem:

There are 24 mittens.  Each person needs a pair (2) to go outside for recess.  How many people can go outside for recess?

Is this Partitive or Quotative??

QUOTATIVE!! We are deciding how many parts we have, we already know how many is in each part!

1

24/2=12 people (parts) can each wear 2 (number of parts) mittens