Name _____________________
Learning Objective
Today, we will subtract integers.
*Prerequisite: 6th Grade Number Sense 2.3 Add Integers
CFU
What are we going to do today?
Addition Integer Rules
Same Sign
Activate (or provide) Prior Knowledge
Add the integers.
+ –
1. 5 + (-2) =
3
–
–
2. -4 + (-3) =
-7
Find the Sum and
keep the sign .
Different Sign
Find the Difference and keep
the sign of the larger number.
(+Pos) + (+Pos) = +Pos
(+Pos) + (-Neg)
(-Neg) + (-Neg) = -Neg
(-Neg) + (+Pos)
CFU
Students, you already know how to add integers using the addition integer rules.
Today, we will use the addition integer rules to subtract integers.
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6th Grade Number Sense 2.3 (6Q)
Solve addition, subtraction, multiplication, and division problems
including those arising in concrete situations that use positive and
negative integers and combinations of these operations.
Lesson to be used by EDI-trained teachers only.
Concept Development
Positive Integer
An integer is a positive whole number or negative whole number.
• Positive integers can be shown with a (+) sign or with no sign at all.
• Negative integers must be shown with a (-) sign.
+3
Negative Integer
-3
and 3
Subtraction means to add the opposite.
• To subtract integers, add the opposite using addition integer rules.
- (+5)
-2 + (-5) = -7
- (-5)
-2 + (+5) = +3
-2
-2
The addition integer rules are determined by the signs of the integers to be added.
Addition Integer Rules
Same Sign
Find the Sum and keep the sign .
(+Pos) + (+Pos) = +Pos
+1
(-Neg) + (-Neg) = -Neg
+ (+3) = +4
-2
+ (-5) = -7
Different Sign
Find the Difference and keep the sign of the larger number.
(+Pos) + (-Neg)
+1
+ (-5) = -4
(-Neg) + (+Pos)
-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?
Which of the following shows the subtraction problem -5 - (+7) changed to add the opposite? How do you know?
A -5 + (+7)
B -5 + (-7)
Using Addition Integer Rules, will -4 + +7 be
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negative or positive? How do you know?
6th Grade Number Sense 2.3 (6Q)
Solve addition, subtraction, multiplication, and division problems
including those arising in concrete situations that use positive and
negative integers and combinations of these operations.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice
Subtraction means to add the opposite.
The addition integer rules are determined by the signs of the
integers to be added.
Addition Integer Rules
Same Sign
Find the Sum and
keep the sign .
Subtract integers.
Step #1: Read the problem carefully. Hint: Use the words positive and negative.
Step #2: Change the subtraction problem to add the opposite.
Step #3: Identify1 the sign (+ or -) of each integer. Hint: Write the sign above each integer.
Step #4: Calculate2 using addition integer rules.
1
find
2
3.
–7=
–
–2
–
+ (–7) =
+ +
5. 6 – (–5) = 6 + +5 =
7.
CFU
(#3)
–7
Find the Difference and keep
the sign of the larger
number.
(+Pos) + (-Neg)
(+Pos) + (+Pos) = +Pos
(-Neg) + (-Neg) = -Neg
(-Neg) + (+Pos)
solve mathematically
+ –
1. 4 – 2 = 4 + (–2) =
–2
Different Sign
+2
-9
+11
– +
– (–3) = –7 + +3 = -4
+ –
2. 6 – 1 = 6 + (–1) =
4.
–3
–4=
–
–3
––
+ ( 4) = -7
+ +
6. 5 – (–4) = 5 + +4 =
8.
–6
+5
– +
– (–2) = –6 + +2 =
+9
-4
(#2) How did I/you change the subtraction problem to add the opposite?
How did I/you calculate using the correct integer rule?
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6th Grade Number Sense 2.3 (6Q)
Solve addition, subtraction, multiplication, and division problems
including those arising in concrete situations that use positive and
negative integers and combinations of these operations.
Lesson to be used by EDI-trained teachers only.
Relevance
Subtraction means to add the opposite.
The addition integer rules are determined by the signs of the integers to be added.
1. Subtracting integers will help you manage money.
Mr. Maxfield had $8 in his bank account this morning; then wrote a
check for $10 at the supermarket. Will his account be overdrawn3?
3
take out more than is available
8 - 10 =
8 + (-10) = -2
Yes, his account will be overdrawn
because it will have $ -2.
2. Subtracting integers will help you do well on tests.
Sample Test Question:
-5
A
B
C
D
-7
12
-12
2
-2
CFU
Does anyone else have another reason why it is relevant to subtract integers? (pair-share) Why is it relevant to subtract integers? You
may give me one of my reasons or one of your own. Which reason is more relevant to you? Why?
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6th Grade Number Sense 2.3 (6Q)
Solve addition, subtraction, multiplication, and division problems
including those arising in concrete situations that use positive and
negative integers and combinations of these operations.
Lesson to be used by EDI-trained teachers only.
Subtraction means to add the opposite.
The addition integer rules are determined by the signs of the
integers to be added.
Addition Integer Rules
Same Sign
Skill Closure
Subtract integers.
Step #1: Read the problem carefully. Hint: Use the words positive and negative.
Step #2: Change the subtraction problem to add the opposite.
Step #3: Identify the sign (+ or -) of each integer. Hint: Write the sign above each integer.
Step #4: Calculate using addition integer rules.
1.
–5
–3=
–
–5
–
+ (–3) =
-8
Different Sign
Find the Sum and
keep the sign .
(+Pos) + (+Pos) = +Pos
(+Pos) + (-Neg)
(-Neg) + (-Neg) = -Neg
(-Neg) + (+Pos)
+ +
2. 8 – (–4) = 8 + +4 =
Constructed Response Closure
Find the Difference and keep
the sign of the larger number.
Bethany is subtracting integers. She needs to change the subtraction problem of +2
Explain how she would complete this step.
+12
- (-7) to add the opposite.
__________________________________________________
__________________________________________________
Summary Closure
What did you learn today about subtracting integers?
Day 1 _____________________________________________________________________________________
__________________________________________________________________________________________
Day 2 _____________________________________________________________________________________
__________________________________________________________________________________________
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6th Grade Number Sense 2.3 (6Q)
Solve addition, subtraction, multiplication, and division problems
including those arising in concrete situations that use positive and
negative integers and combinations of these operations.
Lesson to be used by EDI-trained teachers only.
Independent Practice
Name __________________________
Subtraction means to add the opposite.
The addition integer rules are determined by the signs of the
integers to be added.
Addition Integer Rules
Same Sign
Subtract integers.
Find the Sum and
keep the sign .
Step #1: Read the problem carefully. Hint: Use the words positive and negative.
Step #2: Change the subtraction problem to add the opposite.
Step #3: Identify the sign (+ or -) of each integer. Hint: Write the sign above each integer.
Step #4: Calculate using addition integer rules.
–
+
1. 8 – 5 = 8 +
3.
–7
–2=
5. 9 –
7.
–1
–2
–
–
–7
–5
+
+
= 9+
–4
=
–
–1
=
–
–2
+
+2
=
=
+
+ +4 =
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(+Pos) + (-Neg)
(-Neg) + (-Neg) = -Neg
(-Neg) + (+Pos)
+ –
2. 4 – 3 = 4 + –3 =
-9
4.
+11
+3
–5=
6. 3 –
8.
–9
–6
–
–
–6
+
= 3+
–5
Find the Difference and keep
the sign of the larger number.
(+Pos) + (+Pos) = +Pos
+3
–6
Different Sign
=
–
–9
–
+ –5 =
+
+6
=
+
+ +5 =
+1
-11
+9
-4
6th Grade Number Sense 2.3 (6Q)
Solve addition, subtraction, multiplication, and division problems
including those arising in concrete situations that use positive and
negative integers and combinations of these operations.
Lesson to be used by EDI-trained teachers only.
Periodic Review 1
Name __________________________
Subtraction means to add the opposite.
The addition integer rules are determined by the signs of the
integers to be added.
Addition Integer Rules
Same Sign
Subtract integers.
Find the Sum and
keep the sign .
Step #1: Read the problem carefully. Hint: Use the words positive and negative.
Step #2: Change the subtraction problem to add the opposite.
Step #3: Identify the sign (+ or -) of each integer. Hint: Write the sign above each integer.
Step #4: Calculate using addition integer rules.
+ –
1. 3 – 6 = 3 + –6 =
3.
–5
5. 4 –
7.
–3
–
–2=
–5
–
–5
+
= 4+
–7
=
–
–
+ –2 =
+
+5
–3
+
=
+
+7
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=
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(+Pos) + (-Neg)
(-Neg) + (-Neg) = -Neg
(-Neg) + (+Pos)
+ –
2. 2 – 9 = 2 + –9 =
-7
4.
+9
6. 2 –
+4
8.
–6
Find the Difference and keep
the sign of the larger number.
(+Pos) + (+Pos) = +Pos
-3
–8
Different Sign
-7
– –
– 7 = –8 + –7 = -15
–1
–
+
= 2+
–1
=
–
–6
+
+1
=
+3
+
+ +1 = - 5
6th Grade Number Sense 2.3 (6Q)
Solve addition, subtraction, multiplication, and division problems
including those arising in concrete situations that use positive and
negative integers and combinations of these operations.
Lesson to be used by EDI-trained teachers only.
Periodic Review 2
Name __________________________
Subtraction means to add the opposite.
The addition integer rules are determined by the signs of the
integers to be added.
Addition Integer Rules
Same Sign
Subtract integers.
Step #1: Read the problem carefully. Hint: Use the words positive and negative.
Step #2: Change the subtraction problem to add the opposite.
Step #3: Identify the sign (+ or -) of each integer. Hint: Write the sign above each integer.
Step #4: Calculate using addition integer rules.
+ –
1. 1 – 5 = 1 + –5 =
3.
–2
–6=
5. 8 –
7.
–2
–1
–
–
–2
+
+
= 8+
–5
=
–
–2
–
–6
+
+1
+
-4
=
+9
=
+
+5
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-8
=
+3
Find the Sum and
keep the sign .
4.
(+Pos) + (-Neg)
(-Neg) + (-Neg) = -Neg
(-Neg) + (+Pos)
–4=
–
–5
–
+ –4 =
+ +
6. 7 – –7 = 7 + +7 =
8.
–9
Find the Difference and keep
the sign of the larger number.
(+Pos) + (+Pos) = +Pos
+ –
2. 7 – 9 = 7 + –9 =
–5
Different Sign
– –8 =
–
–9
+
+ +8 =
-2
-9
+14
-1
6th Grade Number Sense 2.3 (6Q)
Solve addition, subtraction, multiplication, and division problems
including those arising in concrete situations that use positive and
negative integers and combinations of these operations.
Lesson to be used by EDI-trained teachers only.
Periodic Review 3
Name __________________________
Subtraction means to add the opposite.
The addition integer rules are determined by the signs of the
integers to be added.
Addition Integer Rules
Same Sign
Subtract integers.
Step #1: Read the problem carefully. Hint: Use the words positive and negative.
Step #2: Change the subtraction problem to add the opposite.
Step #3: Identify the sign (+ or -) of each integer. Hint: Write the sign above each integer.
Step #4: Calculate using addition integer rules.
+ –
1. 5 – 9 = 5 + –9 =
3.
–3
–4=
5. 5 –
7.
–8
–2
=
– –3 =
–
–3
–
+
–4
5+
+2
+
–
–8
+
+
=
+
+3
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4.
-7
+7
=
=
Find the Sum and
keep the sign .
-5
–1
(+Pos) + (-Neg)
(-Neg) + (-Neg) = -Neg
(-Neg) + (+Pos)
–9=
–
–1
–7
-6
–
+ –9 = -10
+ +
6. 6 – –6 = 6 + +6 =
8.
Find the Difference and keep
the sign of the larger number.
(+Pos) + (+Pos) = +Pos
+ –
2. 2 – 8 = 2 + –8 =
-4
Different Sign
+12
– +
– –6 = –7 + +6 = -1
6th Grade Number Sense 2.3 (6Q)
Solve addition, subtraction, multiplication, and division problems
including those arising in concrete situations that use positive and
negative integers and combinations of these operations.
Lesson to be used by EDI-trained teachers only.
Blank Page
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6th Grade Number Sense 2.3 (6Q)
Solve addition, subtraction, multiplication, and division problems
including those arising in concrete situations that use positive and
negative integers and combinations of these operations.
Lesson to be used by EDI-trained teachers only.
EDI – Cognitive, Teaching and English Learners Strategies
Learning Objective : Today, we will add integers.
Cognitive Strategies
Teaching Strategies
Elaboration
Demonstration
Targeted vocabulary: identify, calculate, overdrawn
Language Strategies
identify, calculate, overdrawn
Academic
Vocabulary Words
Content
Support
Multiple-Meaning
Synonym
Vocabulary
Strategy
Definition
identify
calculate, overdrawn
Homophone
Internal Context Clue
Listen, Speak
Read
Similar Sounds
Tracked Reading
Decoding Rules
Write
Writing
Content Access Strategies
Comprehensible
Input
Cognates
Graphic Organizer
Contextual Clues
Contextualized
Definitions
Pictures
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6th Grade Number Sense 2.3 (6Q)
Solve addition, subtraction, multiplication, and division problems
including those arising in concrete situations that use positive and
negative integers and combinations of these operations.
Lesson to be used by EDI-trained teachers only.
Blank Page
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? feedback@dataworks-ed.com
6th Grade Number Sense 2.3 (6Q)
Solve addition, subtraction, multiplication, and division problems
including those arising in concrete situations that use positive and
negative integers and combinations of these operations.
Lesson to be used by EDI-trained teachers only.