INTRODUCING INTEGERS

Unit Essential Questions

What are integers? When do we work with integers in the

real world? How do we add and subtract

integers?

Lesson Essential Questions

What are integers? What situations can be represented

with integers? In what ways can we order and

compare integers?

Key Vocabulary

Integers Positive Numbers Negative Numbers Positive Integers Negative Integers Addends Sum Difference Opposites

Integers Whole numbers

and their opposites are integers such as 6 and -6.

Zero is also a whole number.

0 6-6

Opposites

Definition

Positive number – a number greater than zero.

0 1 2 3 4 5 6

Definition

Negative number – a number less than zero.

0 1 2 3 4 5 6-1-2-3-4-5-6

DefinitionOpposite Numbers – numbers

that are the same distance from zero in the opposite direction

0 1 2 3 4 5 6-1-2-3-4-5-6

Negative Numbers Are Used to Measure Temperature

Negative Numbers Are Used to Measure Under Sea Level

0102030

-10-20-30-40-50

Negative Numbers Are Used to Show Debt

Let’s say your parents bought a car buthad to get a loan from the bank for $5,000.When counting all their money they add in -$5.000 to show they still owe the bank.

INTRODUCTION TO INTEGERS

Integers are positive and negative numbers.

…, -6, -5, -4, -3, -2, -1, 0, +1, +2, +3, +4, +5, +6, …

Each negative number is paired with a positive number the same distance from 0 on a number line.

-3 -2 -1 20 1 3

INTRODUCTION TO INTEGERS

We can represent integers using red and yellow counters.

Red tiles will represent negative integers, and yellow tiles will represent positive integers.

Negative integer Positive integer

INTRODUCTION TO INTEGERS The diagrams below show 2 ways to

represent -3.

Represent -3 in 2 more ways.

-3 -3

INTRODUCTION TO INTEGERS

Students may represent -3 by using 3 red tiles and any number of groups of +1 and -1 tiles

INTRODUCTION TO INTEGERS

Tell which integer each group of tiles represents.

-2 +1

+2

INTRODUCTION TO INTEGERS If there are the same number of red tiles as

yellow tiles, what number is represented?

It represents 0.