Learning Objective Name _____________________ Today, we will add integers. CFU What are we going to do today? Activate (or provide) Prior Knowledge
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$10
–
$5
=
$5
$10
–
$7
=
$3
$10
+
$4
=
$14
$10
+
$8
=
$18
CFU
In math, money that we receive is considered a positive amount and money that we owe is considered a negative amount. Today, we will use this idea to add integers.
An integer is a positive whole number or a negative whole number.
Positive Integer
NegativeInteger
• Positive integerscan be shown with a (+) sign or with no sign at all.
•Negativeintegersmust be shown with a () sign.
+3 and 3
3
The additioninteger rules are determined by the signs of the integers to be added.
Addition Integer Rules
Same Sign
Different Sign
Find the Sum and keep the sign.
Find the Difference and keep the sign of the larger number.
(+Pos)+ (+Pos) =+Pos
(Neg)+ (Neg) =Neg
(+Pos)+ (Neg)
(Neg)+ (+Pos)
+1 + (+3) =+4
2+ (5) =7
+1 + (5) =4
2+ (+3) =+1
CFU
On your whiteboard, write a positive integer. How do you know it is a positive integer?
On your whiteboard, write a negative integer. How do you know it is a negative integer?
Using Addition Integer Rules, will3 + +5 benegativeorpositive? How do you know?
Skill Development/Guided Practice
An integer is a positive whole number or a negative whole number.
Addition Integer Rules
The additioninteger rules are determined by the signs of the integers to be added.
Same Sign
Different Sign
Find the Sum and keep the sign.
Find the Difference and keep the sign of the larger number.
(+Pos)+ (+Pos) =+Pos
(+Pos)+ (Neg)
(Neg)+ (Neg) =Neg
(Neg)+ (+Pos)
Add integers.
+
+
+
+
+
6
+
8
–
–
–
–


5
9
+
–
+
–

4

1
–
+
–
+
0 is not positive or negative
+
2
0
CFU
(#1) How did I/you know how to read the problem?
(#3) How did I/you know which addition integer rule to use?
Sample Test Question
42. 4 + (3)
A 7
B 1
C 1
D 7
An integer is a positive whole number or a negative whole number.
The additioninteger rules are determined by the signs of the integers to be added.
Lemonade Stand
CFU
Does anyone else have another reason why it is relevant to add integers? (pairshare) Why is it relevant to add integers? You may give me one of my reasons or one of your own. Which reason is more relevant to you? Why?
An integer is a positive whole number or a negative whole number.
Addition Integer Rules
The additioninteger rules are determined by the signs of the integers to be added.
Skill Closure
Add integers.
Same Sign
Different Sign
Find the Sum and keep the sign.
Find the Difference and keep the sign of the larger number.
(+Pos)+ (+Pos) =+Pos
(+Pos)+ (Neg)
(Neg)+ (Neg) =Neg
(Neg)+ (+Pos)
–
–
+
–

12
+
2
Constructed Response Closure
James is adding 7 and 5. He thinks that he will have a negative answer. Do you agree with James? Explain your answer.
__________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Name __________________________
An integer is a positive whole number or a negative whole number.
Addition Integer Rules
The additioninteger rules are determined by the signs of the integers to be added.
Same Sign
Different Sign
Find the Sum and keep the sign.
Find the Difference and keep the sign of the larger number.
(+Pos)+ (+Pos) =+Pos
(+Pos)+ (Neg)
(Neg)+ (Neg) =Neg
(Neg)+ (+Pos)
Add integers.
+
+
+
+
+
11
+
10
–
–
–
–


9
13
+
–
+
–
+
7
+
2
–
+
–
+

1
+
1
Name __________________________
An integer is a positive whole number or a negative whole number.
Addition Integer Rules
The additioninteger rules are determined by the signs of the integers to be added.
Same Sign
Different Sign
Find the Sum and keep the sign.
Find the Difference and keep the sign of the larger number.
(+Pos)+ (+Pos) =+Pos
(+Pos)+ (Neg)
(Neg)+ (Neg) =Neg
(Neg)+ (+Pos)
Add integers.
+
+
+
+
+
10
+
15
–
–
–
–

12

6
+
–
+
–
+
5

4
–
+
–
+
+
4

3
Name __________________________
An integer is a positive whole number or a negative whole number.
Addition Integer Rules
The additioninteger rules are determined by the signs of the integers to be added.
Same Sign
Different Sign
Find the Sum and keep the sign.
Find the Difference and keep the sign of the larger number.
(+Pos)+ (+Pos) =+Pos
(+Pos)+ (Neg)
(Neg)+ (Neg) =Neg
(Neg)+ (+Pos)
Add integers.
–
+
–
+
+
+
5
1
–
–
–
+

+
13
5
+
–
+
–
0 is not positive or negative

0
4
–
+
–
–

+
3
5
Name __________________________
An integer is a positive whole number or a negative whole number.
Addition Integer Rules
The additioninteger rules are determined by the signs of the integers to be added.
Same Sign
Different Sign
Find the Sum and keep the sign.
Find the Difference and keep the sign of the larger number.
(+Pos)+ (+Pos) =+Pos
(+Pos)+ (Neg)
(Neg)+ (Neg) =Neg
(Neg)+ (+Pos)
Add integers.
–
+
–
+

+
8
6
+
–
–
–


10
4
+
–
–
–
+
5

14
–
+
–
–
0 is not positive or negative

0
8
Name __________________________
An integer is a positive whole number or a negative whole number.
Addition Integer Rules
The additioninteger rules are determined by the signs of the integers to be added.
Same Sign
Different Sign
Find the Sum and keep the sign.
Find the Difference and keep the sign of the larger number.
(+Pos)+ (+Pos) =+Pos
(+Pos)+ (Neg)
(Neg)+ (Neg) =Neg
(Neg)+ (+Pos)
Add integers.
–
–
+
–


9
16
–
–
–
–

16

12
+
–
+
–

16
+
4
–
–
–
+

40

5