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Learning Math Home
Patterns, Functions, and Algebra
Session 4 Part A Part B Part C Homework
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Session 4 Materials:

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

In This Session:

Part A:

Meanings and Relationships of the Operations

Part B:

Area Models for Multiplication and Division

Part C:

Colored-Chip Models



Learning Objectives

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

video icon

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

asymmetrical multiplication
partitive division
quotative division
symmetrical multiplication

Next > Part A: Meanings and Relationships of the Operations

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