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.