Strategic Intervention Material: Addition of Integers

ADDITION

OF INTEGERS

Strategic Intervention Material | Arnie Lei M. Bangayan

If I enter the elevator at fifth floor, then it went up 4 floors then down 6 floors. Which floor will I land?

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Your problem is solved with the help of CAPTAIN SOLUTION! We can solve your problem by ADDITION OF INTEGERS.

You can use a tile model to add integers. 1. To model the sum 3 + (-4) +

+

Start with 3 positive tiles.

Add 4 negative tiles.

Remove any neutral pair formed.

+

+

+

+

+

+

+

Therefore, 3 + (-4) = -1 since there is 1 negative tile left after cancellation. 2. To model the sum of -5 + 3 Start with 5 negative tiles.

Add 3 positive tiles.

+

+

+

Remove any neutral pair formed.

+

+

+

Therefore, -5 + 3 = -2 since there are 2 negative tiles left after cancellation.

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Addition of integers with like signs and with unlike signs can be explained by the illustration below. LIKE SIGNS +

+

+

and +

+

+

+

+

+

+

+

+

and UNLIKE SIGNS +

+

+

+

+

and

+

and

Rules for Adding Integers LIKE SIGNS: (+) + (+) or (-) + (-) Find the sum of their absolute values, and use the sign common to both integers. UNLIKE SIGNS: (+) + (-) or (-) + (+) Find the difference of their absolute values, and use the sign of the integer with the greater absolute value.

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I.

1.

Direction: Write each addition expression that is modeled below. Then draw and find the sum for each model. +

+

2.

+

+ and + _______ + _______ = ________

___________________________

and _______ + _______ = ________

___________________________

3.

+

+

+

4.

+

+

+

+

+

+

and _______ + _______ = ________

_______________

and _______ + _______ = ________

____________

II. Direction: Use tiles to model each expression. Record the sum. 1. (-3) + (-4) = _____ +

=

2. 6 + 2 = ______

+

=

3. (-6) + 3 = _____

+

=

4. 7 + (-6) = _____

+

=

5. (-8) + (-5) = _____

+

=

6. 5 + (-5) = _____

+

=

7. 1 + (-5) = _____

+

=

8. 4 + 9 = _____

+

=

9. (-3) + 10 = _____

+

=

10. (-3) + 3 = _____

+

=

Note: Go to page 5 to check your work. Strategic Intervention Material

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I.

Direction: Add the following integers without using tiles. 1. 5 + 8 = _____ 2. 7 + 4 = _____ 3. (-5) + (-6) = _____ 4. (-7)+ (-5) = _____ 5. (-4) + 4 = _____ 6. 10 + (-5) = _____ 7. 8 + (-11) = _____ 8. 40 + (-10) = _____ 9. 23 + ( - 16) = ____ 10. (-47) + 33 = ____

II.

Direction: Represent the following phrases or statements using integers. Use the rule of Addition of Integers to solve the problem. 1. A gain of P300 followed by a loss of P150. 2. A gain of P400 followed by a gain of P62. 3. A loss of 300 followed by a loss of P100

4. Starting at the fifth floor, an elevator went up 4 floors, then down 3 floors, then down 1 floor, then up 7 floors. Locate the elevator.

5. From a room temperature of 32o, the temperature dropped 10o, then rose 38o and finally dropped 3o. What is the temperature after the given changes?

Note: Go to page 10 to check your work. Strategic Intervention Material

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I.

Direction: Find the sums. 1. (-2) + (-10) + (-4) 2. 5 + (-6) + 7 3. (-6) + 4 + 2 4. 10 + (-2) + (-3) 5. 9 + 10 + (-7) 6. 12 + (-11) + (-4) 7. (-4) + (-3) + 5 + (-6) 8. (-35) + 48 + 12 9. (-10) + (-10) + 10 + (-10) 10. (-4) + (-6) + 12 + (-5) + 15

II. Direction: Find the missing number. 1. 9 + ___ = 0 2. ___ + (-1) = 0 3. 5 + ___ = 2 4. 15 + ___ = -7 5. (-8) + ____ = -13 6. ____ + 5 = -10 7. -7 + ____ = -3 8. (-8) + ____ = 5 9. ____ + 15 = 12 10. ____ + 19 = 0

Note: Go to page 11 to check your work. Strategic Intervention Material

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1. Text book: Addition of Integers can also be solved by using number line. E – Math Elementary Algebra, pp. 118 – 126, by Orlando A. Oronce and Marilyn O. Mendoza

2. World Wide Web: http://www.algebra-class.com/adding-integers.html

3. Video: Math Made Easy:

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http://www.youtube.com/watch?v=R3ugqwQugVo

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From page 5:

ACTIVITY CARD

I. 1. 2. 3. 4.

4+2=6 (-2) + (-3) = -5 5 + (-3) = 2 3 + (-6) = -3

II. 1. -7 2. 8 3. -3 4. 1 5. -13 6. 0 7. -4 8. 13 9. 7 10. 0

If you get…. 0 Mistake =

Excellent!

1 – 2 Mistakes =

Good Work!

3 – 4 Mistakes =

N ice!

5 or more Mistakes = Try

Strategic Intervention Material

again!

Page 9

From page 6:

ASSESSMENT CARD

I. 1. 5 + 8 = 13 2. 7 + 4 = 11 3. (-5) + (-6) = -11 4. (-7)+ (-5) = -12 5. (-4) + 4 = 0 6. 10 + (-5) = 5 7. 8 + (-11) = -3 8. 40 + (-10) = 30 9. 23 + ( - 16) = 7 10. (-47) + 33 = -11 II. 1. 2. 3. 4. 5.

150 462 -400 12th floor 53o

If you get…. 0 Mistake =

Excellent!

1 – 2 Mistakes =

Good Work!

3 – 4 Mistakes =

N ice!

5 or more Mistakes = Try

Strategic Intervention Material

again!

Page 10

From page 7:

ENRICHMENT CARD

I.

II. 1. (-2) + (-10) + (-4) = -16

1. 9 +( -9) = 0

2. 5 + (-6) + 7 = 6

2. 1 + (-1) = 0

3. (-6) + 4 + 2 = 0

3. 5 + (-3) = 2

4. 10 + (-2) + (-3) = 5

4. 15 + (-23) = -7

5. 9 + 10 + (-7) = 12

5. (-8) + (-5) = -13

6. 12 + (-11) + (-4) = -3

6. (-15) + 5 = -10

7. (-4) + (-3) + 5 + (-6) = -8

7. -7 + 4 = -3

8. (-35) + 48 + 12 = 25

8. (-8) + 13 = 5

9. (-10) + (-10) + 10 + (-10) = -20

9. (-3) + 15 = 12

10. (-4) + (-6) + 12 + (-5) + 15 = 12

10. (-19) + 19 = 0

If you get…. 0 Mistake =

Excellent!

1 – 2 Mistakes =

Good Work!

3 – 4 Mistakes =

N ice!

5 or more Mistakes = Try

Strategic Intervention Material

again!

Page 11