7 th Grade Math
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© Boardworks Ltd 2004 of 42 7 th Grade Math Integers
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7 th Grade Math. Integers. Integers. A. Contents. Adding Integers. Adding integers. We can use a number line to help us add positive and negative integers. –2 + 5 =. = 3. -2. 3. Start at zero Go to first addend Move in the direction and distance of the second addend. - PowerPoint PPT Presentation
Transcript of 7 th Grade Math
© Boardworks Ltd 2004 1 of 42
7th Grade Math
Integers
© Boardworks Ltd 2004 2 of 42
Contents
Integers
AAdding Integers
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Adding integers
We can use a number line to help us add positive and negative integers.
–2 + 5 =
-2 3
= 3
1. Start at zero2. Go to first addend3. Move in the direction and distance of the second
addend
© Boardworks Ltd 2004 4 of 42
We can use a number line to help us add positive and negative integers.
–3 + –4 == –7
-3-7
Adding integers
1. Start at zero2. Go to first addend3. Move in the direction and distance of the second
addend
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Examples:
1.6 + 5
2.-7 + -2
3.5 + (-3)
4.-3 + 2
5.6 + (-7)
6.-9 + 4
= 11
= -9
= 2
= -1
= -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 + 2 2. -1 + 3
3. -5 + 5 4. -9 + 3
5. -10 + 5 6. -15 + 32
7. 5 + 3 8. -4 + 7
9. -5 + 4 10. -3 + 9
11. -6 + 13 12. -30 + 15
13. -35 + 10 14. 6 + 7
15. -5 + 9 16. -3 + 2
17. -8 + 7 18. -10 + 4
19. -50 + 30 20. 0 + 7
21. -7 + 17 22. -7 + 13
23. -6 + 3 24. -12 + 1
25 -30 + 10 26. -34 + 16
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Contents
Integers
ASubtracting 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 THREELITTLE, BITTY, TINY WORDS…
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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5-3
Subtracting integers
We can use a number line to help us subtract positive and negative integers.
5 – 8 == –3 5 + (-8) == –3
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3 – –6 =
3 9
= 9
We can use a number line to help us subtract positive and negative integers.
3 – –6 is the same as 3 + 6
Subtracting integers
3 + 6 == 9
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We can use a number line to help us subtract positive and negative integers.
–4 – –7 =
-4 3
= 3
–4 – –7 is the same as –4 + 7
Subtracting integers
–4 + 7 == 3
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Examples:1.8 – 13
2.6 – 14
3.- 10 – 1
4.1 – (-2)
5.4 – (-8)
6.-3 – (-5)
7.-7 – (-4)
= -5
= -8
= -11
= 3
= 12
= 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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Work out the following
1) 4 – 6
2) +5 – 6
3) 4 – 10
4) 2 – 6
5) 3 – 3
6) 4 – (-2)
7) 5 - -4
8) -9 – (-5)
9) 3 – 6
10)– 2 – 3
11) – 3 – 3
12) 0 – 5
13)5 – 11 – 2
Exercise
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Extra Practice Below
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Work out the following
1) – 8 + 9
2) – 6 + 10
3) – 2 + 8
4) 0 – 8
5) 3 – 10
6) 8 – 10
7) 7 – 9
8) 4 – 10
9) 5 – 9
10) – 8 + 8
11)6 – 12 – 4
12)7 – 10 + 3
13)– 3 + 10 – 7
14) 6 – 12 + 6
15)8 – 16 – 3
Exercise B
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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
Exercise C
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Ten Ticks. Level 5. Pack 4. Page 3
Exercise E
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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
