SOL Objective(s):
7.3 The student will...
a) model addition, subtraction, multiplication and division of integers; and
b) add, subtract, multiply, and divide integers.
a) model addition, subtraction, multiplication and division of integers; and
b) add, subtract, multiply, and divide integers.
The Basics and Background Information
• The set of integers is the set of whole numbers and their opposites (e.g., … –3, –2, –1, 0, 1, 2, 3, …).
• Integers are used in practical situations, such as temperature changes (above/below zero), balance in a checking account (deposits/withdrawals), and changes in altitude (above/below sea level).
• Concrete experiences in formulating rules for adding and subtracting integers should be explored by examining patterns using calculators, along a number line and using manipulatives, such as twocolor counters, or by using algebra tiles.
• Concrete experiences in formulating rules for multiplying and dividing integers should be explored by examining patterns with calculators, along a number line and using manipulatives, such as twocolor counters, or by using algebra tiles.
• Integers are used in practical situations, such as temperature changes (above/below zero), balance in a checking account (deposits/withdrawals), and changes in altitude (above/below sea level).
• Concrete experiences in formulating rules for adding and subtracting integers should be explored by examining patterns using calculators, along a number line and using manipulatives, such as twocolor counters, or by using algebra tiles.
• Concrete experiences in formulating rules for multiplying and dividing integers should be explored by examining patterns with calculators, along a number line and using manipulatives, such as twocolor counters, or by using algebra tiles.
Essential Knowledge and Skills
The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to...
• Model addition, subtraction, multiplication and division of integers using pictorial representations of concrete manipulatives.
• Add, subtract, multiply, and divide integers.
• Simplify numerical expressions involving addition, subtraction, multiplication and division of integers using order of operations.
• Solve practical problems involving addition, subtraction, multiplication, and division with integers.
• The sums, differences, products and quotients of integers are either positive, zero, or negative. This can be demonstrated through the use of patterns and models.
• Model addition, subtraction, multiplication and division of integers using pictorial representations of concrete manipulatives.
• Add, subtract, multiply, and divide integers.
• Simplify numerical expressions involving addition, subtraction, multiplication and division of integers using order of operations.
• Solve practical problems involving addition, subtraction, multiplication, and division with integers.
• The sums, differences, products and quotients of integers are either positive, zero, or negative. This can be demonstrated through the use of patterns and models.
Vocabulary and Things to Know:

Be Able To:

The topic: What is it and what will we learn?
The basics of operations with negatives  how to add, subtract, multiply, and divide with negatives. The "rules" will apply with whole numbers, integers, and rational numbers such as fractions and decimals.
Rules for Positive/Negative Operations 

All Operations with Negatives 

Adding with Negatives 

Multiplying Integers (Negatives)Both chips and number line models are shared.


Multiplying and Dividing Negatives 
