Download introducing integers

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
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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.
Let’s try together
 12 + (-2)
 -4 + (9)
 -3 + (-8)
 8 + (-13)
Using your counters, add
1.
2.
3.
4.
5.
-8 + 5
12 + (-4)
-10 + (-6)
11 + (-4)
-11 + (-3)
In your notes, we will draw counters
to help solve integer problems.
 Let’s try these!
1. 1 + (-9)
2. -6 + (-5)
3. -4 + 10
Exit Ticket