Transcript Alternate - Adding and Subtracting integers on number line

7th Grade Math
Integers
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Contents
Integers
A Adding Integers
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Adding integers
We can use a number line to help us add positive and
negative integers.
–2 + 5 = 3
-2
3
1. Start at zero
2. Go to first addend
3. Move in the direction and distance of the second
addend
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Adding integers
We can use a number line to help us add positive and
negative integers.
–3 + –4 = –7
-7
-3
1. Start at zero
2. Go to first addend
3. Move in the direction and distance of the second
addend
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Examples:
1. 6 + 5
= 11
= -9
2. -7 + -2
3. 5 + (-3)
=2
= -1
4. -3 + 2
5. 6 + (-7)
6. -9 + 4
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= -1
= -5
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Let’s Discover/Develop a
Rule…
• Use the “Developing a Rule” Organizer
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Small Group/Partner Practice
• Glencoe Textbook –
– Page 98 - #1-8
– Page 98 - #28 - 36
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“Row, Row, Row Your Boat!”
• Operations with Integers song
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1.
3.
5.
7.
9.
11.
13.
15.
17.
19.
21.
23.
25
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3+2
-5 + 5
-10 + 5
5+3
-5 + 4
-6 + 13
-35 + 10
-5 + 9
-8 + 7
-50 + 30
-7 + 17
-6 + 3
-30 + 10
2.
4.
6.
8.
10.
12.
14.
16.
18.
20.
22.
24.
26.
-1 + 3
-9 + 3
-15 + 32
-4 + 7
-3 + 9
-30 + 15
6+7
-3 + 2
-10 + 4
0+7
-7 + 13
-12 + 1
-34 + 16
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Contents
Integers
A Subtracting Integers
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Contents
Provide the answer for the following:
1. 3 – 1 =
Can we solve this problem using what you’ve learned about addition?
2. 3 + (-1) =
3. 6 - 5 =
Can we solve this problem using what you’ve learned about addition?
4. 6 + (-5) =
5. 14 – 8 =
Can we solve this problem using what you’ve learned about addition?
6. 14 + (-8)
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Contents
For Subtraction…
EVERY SUBTRACTION
PROBLEM CAN BE MADE AN
ADDITION PROBLEM!!!
(The inverse of subtraction in addition.)
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Contents
JUST REMEMBER THREE
WORDS…
LITTLE, BITTY, TINY
ADD THE OPPOSITE!
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Contents
Make each of these subtraction problems
an equivalent addition problem:
1. 5 - 3 =
2. 6 - 4 =
3. 10 - 1 =
4. -5 – 4 =
5. -2 – (-7) =
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Subtracting integers
We can use a number line to help us subtract positive and
negative integers.
5 – 8 = –3
5 + (-8) = –3
-3
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5
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Subtracting integers
We can use a number line to help us subtract positive and
negative integers.
3 – –6 = 9
3+6=9
3
3 – –6
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is the same as
9
3+6
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Subtracting integers
We can use a number line to help us subtract positive and
negative integers.
–4 – –7 == 3
–4 + 7 = 3
-4
–4 – –7
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3
is the same as
–4 + 7
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Examples:
1. 8 – 13
2. 6 – 14
3. - 10 – 1
4. 1 – (-2)
5. 4 – (-8)
= -5
= -8
= -11
=3
= 12
6. -3 – (-5)
7. -7 – (-4)
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=2
= -3
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Let’s Discover/Develop a
Rule…
• Use the “Developing a Rule” Organizer
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Small Group/Partner Practice
• Glencoe Textbook –
– Page 105 - #1-8
– Page 105 - #29-40
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“Row, Row, Row Your Boat!”
• Operations with Integers song
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Exercise
Work out the following
1) 4 – 6
9) 3 – 6
2) +5 – 6
10)– 2 – 3
3) 4 – 10
11) – 3 – 3
4) 2 – 6
12) 0 – 5
5) 3 – 3
13)5 – 11 – 2
6) 4 – (-2)
7) 5 - -4
8) -9 – (-5)
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Extra Practice Below
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Exercise B
Work out the following
1) – 8 + 9
9) 5 – 9
2) – 6 + 10
10) – 8 + 8
3) – 2 + 8
11)6 – 12 – 4
4) 0 – 8
12)7 – 10 + 3
5) 3 – 10
13)– 3 + 10 – 7
6) 8 – 10
14) 6 – 12 + 6
7) 7 – 9
15)8 – 16 – 3
8) 4 – 10
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Exercise C
Work out the following
1) 4 + – 2
2) 2 + – 3
3) 4 – –2
4) 5 – – 4
5) 15 – – 3
6) 4 – – 6
7) – 9 – – 5
8) – 10 + – 7
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Exercise E
Ten Ticks. Level 5. Pack 4. Page 3
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Ordered addition square
Copy the grid and work out the numbers in the empty squares
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Ordered subtraction square
Copy the grid and work out the numbers in the empty squares
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Mixed subtraction square
Copy the grid and work out the numbers in the empty squares
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Integer cards - addition and subtraction
Complete the sums
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