The document provides an overview of adding integers and examples worked through step-by-step. It discusses the rules for adding integers with the same sign versus different signs. Specifically, it states that for the same sign you add the numbers and keep the sign, and for different signs you subtract the numbers and keep the sign of the number with the larger absolute value. Examples are provided to demonstrate applying these rules to evaluate integer expressions.

1. Addition of Integers
I can add positive and negativeI can add positive and negative
numbers.numbers.
What is the rule for addingWhat is the rule for adding
integers with the same signs?integers with the same signs?
Different signs?Different signs?

2. Pair SharePair Share
 Read your Quickwrite to your partner.Read your Quickwrite to your partner.

3.  Rule:Rule:
 To add numbers with the same sign,To add numbers with the same sign,
ADD the numbers.ADD the numbers.
KEEP THE SIGN of the numbers involved.KEEP THE SIGN of the numbers involved.
 To add numbers with opposite signsTo add numbers with opposite signs
Subtract the numbers.Subtract the numbers.
Keep the sign of the number with theKeep the sign of the number with the
larger absolute value.larger absolute value.

4. Lesson: Posing a QuestionLesson: Posing a Question
 2 min.2 min. “Think Time”“Think Time”
Work out the problem using any strategy.Work out the problem using any strategy.
Write down facts you know about the problem.Write down facts you know about the problem.
I know…I know…
I need to find out…I need to find out…
Come up with questions you might have.Come up with questions you might have.
You do not have the option to just sit there!You do not have the option to just sit there!

5. 5 + 3 =
-5 + (-3) =

6. 5 + 3 = 8
Up 5 , then up 3 more
If you have $5 in your pocket and are given
$3 more, how much do you have?
-5 + (-3) = -8
Down 5 then down 3 more
If you owe $5 and then borrow $3 more, how
much do you have?

7. 5 + -3 =
-5 + 3 =

8. 5 + -3 = 2
Up 5 , then down 3
If you have $5 in your pocket and borrow $3
more, how much do you have?
-5 + 3 = -2
Down 5 then up 3
If you owe $5 and then pay back $3, how
much do you owe?

9.  A submarine was situated 800 feetA submarine was situated 800 feet
below sea level. If it ascends(goes up)below sea level. If it ascends(goes up)
250 feet, what is its new position?250 feet, what is its new position?
 Write an ADDITION EXPRESSION, thenWrite an ADDITION EXPRESSION, then
solve. Justify your response.solve. Justify your response.

10.  A submarine was situated 800 feetA submarine was situated 800 feet
below sea level. If it ascends(goes up)below sea level. If it ascends(goes up)
250 feet, what is its new position?250 feet, what is its new position?
 -850 + 250 = -600 feet-850 + 250 = -600 feet

11.  You enter the elevator on the 8You enter the elevator on the 8thth
floor. Thefloor. The
elevator goes up 5 floors, and then goeselevator goes up 5 floors, and then goes
down 7 floors . What floor are you on?down 7 floors . What floor are you on?
 Write and evaluate and additionWrite and evaluate and addition
expression to find the floor on which youexpression to find the floor on which you
exit.exit.

12.  You enter the elevator on the 8You enter the elevator on the 8thth
floor. Thefloor. The
elevator goes up 5 floors, and then goeselevator goes up 5 floors, and then goes
down 7 floors . What floor are you on?down 7 floors . What floor are you on?
 Write an evaluate and addition expressionWrite an evaluate and addition expression
to find the floor on which you exit.to find the floor on which you exit.
8 + 5 + (-7) = 6 68 + 5 + (-7) = 6 6thth
floorfloor

13.  A football team gained 5 yards on the firstA football team gained 5 yards on the first
play, then they lost 7 yards on the secondplay, then they lost 7 yards on the second
play, but gained 9 yards on the third play.play, but gained 9 yards on the third play.
 To get a first down, they must gain 10To get a first down, they must gain 10
yards in 4 plays.yards in 4 plays.
 How many yards must they gain on the 4How many yards must they gain on the 4thth
play to get a first down?play to get a first down?
 Write an addition expression and solve.Write an addition expression and solve.

14.  A football team gained 5 yards on the firstA football team gained 5 yards on the first
play, then they lost 7 yards on the secondplay, then they lost 7 yards on the second
play, but gained 9 yards on the third play.play, but gained 9 yards on the third play.
 To get a first down, they must gain 10To get a first down, they must gain 10
yards in 4 plays.yards in 4 plays.
 How many yards must they gain on the 4How many yards must they gain on the 4thth
play to get a first down?play to get a first down?
 Write an addition expression and solve.Write an addition expression and solve.
 5 + (-7) + 9 = 7 so they need 3 more yd5 + (-7) + 9 = 7 so they need 3 more yd

15. Integer Rule SheetInteger Rule Sheet
 Put your first and last name on it and DOPut your first and last name on it and DO
NOT lose this sheet.NOT lose this sheet.

16. Using VariablesUsing Variables
 Adding IntegersAdding Integers
 Evaluate whenEvaluate when x = - 5, y = 20, z = - 3x = - 5, y = 20, z = - 3
 y + xy + x
x + (-z)x + (-z)
 -x + | y |-x + | y |

17. Using VariablesUsing Variables
 Adding IntegersAdding Integers
 Evaluate whenEvaluate when x = - 5, y = 20, z = - 3x = - 5, y = 20, z = - 3
 y + xy + x
x + (-z)x + (-z)
 -x + | y |-x + | y |
20 + -5 = 15
-5 + 3 = -2
5 + 20 = 25

18.  Apply the rules:Apply the rules:
-8 + -12 = ___ 5 + -9 = _____-8 + -12 = ___ 5 + -9 = _____
-6 + 15 = _____ - 4 + -3 + -7 = _____-6 + 15 = _____ - 4 + -3 + -7 = _____
7 + 5 = _____ -5 + 3 + 5 + -8 = ___7 + 5 = _____ -5 + 3 + 5 + -8 = ___
-7 + 7 = ____-7 + 7 = ____ -13 + 0 =____-13 + 0 =____

19.  Apply the rules:Apply the rules:
-8 + -12 = ___ 5 + -9 = _____-8 + -12 = ___ 5 + -9 = _____
-6 + 15 = _____ - 4 + -3 + -7 = _____-6 + 15 = _____ - 4 + -3 + -7 = _____
7 + 5 = _____ -5 + 3 + 5 + -8 = ___7 + 5 = _____ -5 + 3 + 5 + -8 = ___
-7 + 7 = ____-7 + 7 = ____ -13 + 0 =____-13 + 0 =____
-20 -4
9 -14
12
-130
-5

20.  Rule:Rule:
 To add numbers with the same sign,To add numbers with the same sign,
ADD the numbers.ADD the numbers.
KEEP THE SIGN of the numbers involved.KEEP THE SIGN of the numbers involved.
 To add numbers with opposite signsTo add numbers with opposite signs
Subtract the numbers.Subtract the numbers.
Keep the sign of the number with theKeep the sign of the number with the
larger absolute value.larger absolute value.

21. Class notes
Page 65 #2-6, 24-26, 52,56
Corrections

22.  Assignment:Assignment:
Show work andShow work and NO CALCULATORSNO CALCULATORS