Sets and Whole Numbers

The importance of knowing how sets are the same, and how two or more sets can be used together to make new sets.

A set model is used for adding and subtracting whole numbers. When asking basic math questions such as, Michael has 3 pieces of candy, his mom gives him 4 more. How many candies does he have now? We can use a set model to model this exercise.

Subtracting whole numbers is the opposite operation of adding whole numbers.

Example: Start with 8 objects Take 3 objects away How many objects are left?

Use hops on a number line to model subtraction of whole numbers. When subtracting a positive number, move to the left on the number line. If subtracting a negative number, move to the right.

Being able to match one object to one other object or person. This can be used in pairing elements between two sets.

When a=n(A) and b= n(B) and they are whole numbers and finite sets, If A matches a subset of B, then a

Example: 5x3=5+5+5 How many is 3 groups of 5 fish?

When dividing numbers you may not always get a whole number, unlike multiplying. When you divide, you separate into parts.

This model can be used with physical objects. Sometimes called division by sharing, or partitive division.

When the set of whole numbers is not closed when using division. The remainder is the integer left over.