1. INTRODUCING INTEGERS

2. Unit Essential Questions
What are integers?
When do we work with integers in the real world?
How do we add and subtract integers?

3. Lesson Essential Questions
What are integers?
What situations can be represented with integers?
In what ways can we order and compare integers?

4. Key Vocabulary Integers Positive Numbers Negative Numbers
Positive Integers
Negative Integers
Addends
Sum
Difference
Opposites

5. Integers
Whole numbers and their opposites are integers such as 6 and -6.
Zero is also a whole number. -6 6
Opposites

6. Definition
Positive number – a number greater than zero. 1 2 3 4 5 6

7. Definition
Negative number – a number less than zero. -6 -5 -4 -3 -2 -1 1 2 3 4 5 6

8. Definition
Opposite Numbers – numbers that are the same distance from zero in the opposite direction -6 -5 -4 -3 -2 -1 1 2 3 4 5 6

9. Negative Numbers Are Used to Measure Temperature

10. Negative Numbers Are Used to Measure Under Sea Level30 20 10
-10
-20
-30
-40
-50

11. 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.

13. 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 1 2 3

14. 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

15. INTRODUCTION TO INTEGERS
The diagrams below show 2 ways to represent -3.
Represent -3 in 2 more ways. -3 -3

16. INTRODUCTION TO INTEGERS
Students may represent -3 by using 3 red tiles and any number of groups of +1 and -1 tiles

17. INTRODUCTION TO INTEGERS
Tell which integer each group of tiles represents. +1 -2 +2

18. INTRODUCTION TO INTEGERS
If there are the same number of red tiles as yellow tiles, what number is represented?
It represents 0.

19. Let’s try together
12 + (-2)
-4 + (9)
-3 + (-8)
8 + (-13)

20. Using your counters, add
-8 + 5
12 + (-4)
-10 + (-6)
11 + (-4)
-11 + (-3)

21. In your notes, we will draw counters to help solve integer problems.
Let’s try these!
1 + (-9)
-6 + (-5)

22. Exit Ticket