Number and Operations Session 4: Meanings and Models for the Operations

In this session, you will examine the operations of addition, subtraction, multiplication, and division and their relationships to whole numbers. You will also explore some of the laws that govern these operations and use mathematical models to reinforce the algorithms being discussed. Note 1

Part A:
Meanings and Relationships of the Operations

Part B:
Area Models for Multiplication and Division

Part C:
Colored-Chip Models

Homework

In this session, you will do the following:
•	Understand and apply alternate interpretations for each of the four basic operations
•	Understand subtraction as the inverse operation for addition, and division as the inverse operation for multiplication
•	Understand subtraction as the addition of an inverse element
•	Understand division as multiplication by an inverse element
•	Examine and analyze models and manipulatives for representing operations with whole numbers and integers
•	Examine and analyze alternative algorithms for operations with whole numbers


	Throughout the session you will be prompted to view short video segments. In addition to these excerpts, you may choose to watch the full-length video of this session.


	Previously Introduced:		New in This Session:
	identity element inverse element whole numbers		algorithm asymmetrical multiplication partitive division quotative division symmetrical multiplication

Next > Part A: Meanings and Relationships of the Operations

Session 4: Index | Notes | Solutions | Video