Kategorier: Alla - division - sets - numbers - subtraction

av Angela Erickson för 8 årar sedan

272

Sets and Whole Numbers

The text delves into fundamental concepts of arithmetic and set theory, focusing on the operations of multiplication and division with whole numbers. It discusses various models to illustrate these operations, such as the multiplication tree model and the partition model of division.

Sets and Whole Numbers

Sets and Whole Numbers

Multiplication and Division of Whole Numbers

Division with Remainders

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

The Partition Model of Division

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

Division of Whole Numbers

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

The Multiplication Tree Model
Multiplication as Repeated Addition

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

Multiplication of Whole Numbers

Sets, Counting, and Whole Numbers

Problem Solving with Whole Numbers and Venn Diagrams
Ordering the Whole Numbers

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

The Whole Numbers
One to One Correspondence

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

Addition and Subtraction of Whole Numbers

Number-Line Model

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.

Comparison Model
Take-Away Model

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

Subtraction of Whole Numbers

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

Properties of Whole Number Addition
The Number Line Model of Addition
The Set Model of Whole-Number Addition

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.

Sets and Operations on Sets

Using Sets for Problem Solving
Relationship and Operations on Sets

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

Venn Diagrams