INTRODUCING INTEGERS - Mrs. Murphy's 6th Grade Class
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Transcript INTRODUCING INTEGERS - Mrs. Murphy's 6th Grade Class
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.
-6
0
Opposites
6
Definition
Positive number – a
number greater than
zero.
0 1 2 3 4 5 6
Definition
Negative number – a
number less than zero.
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Definition
Opposite Numbers –
numbers that are the same
distance from zero in the
opposite direction
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Negative Numbers Are Used to
Measure Temperature
Negative Numbers Are Used to
Measure Under Sea Level
30
20
10
0
-10
-20
-30
-40
-50
Negative Numbers Are Used to
Show Debt
Let’s say your parents bought a car but
had 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
0
1 2
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.
-3
-3
Represent -3 in 2 more ways.
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.
+1
-2
+2
INTRODUCTION TO INTEGERS
If there are the same number of red tiles as
yellow tiles, what number is represented?
It represents 0.