Strategic Intervention Material: Addition Of Integers
This document was uploaded by user and they confirmed that they have the permission to share it. If you are author or own the copyright of this book, please report to us by using this DMCA report form. Report DMCA
Overview
Download & View Strategic Intervention Material: Addition Of Integers as PDF for free.
More details
- Words: 1,207
- Pages: 11
Loading documents preview...
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?
Strategic Intervention Material
Page 2
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.
Strategic Intervention Material
Page 3
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.
Strategic Intervention Material
Page 4
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
Page 5
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
Page 6
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
Page 7
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:
Strategic Intervention Material
http://www.youtube.com/watch?v=R3ugqwQugVo
Page 8
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
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?
Strategic Intervention Material
Page 2
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.
Strategic Intervention Material
Page 3
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.
Strategic Intervention Material
Page 4
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
Page 5
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
Page 6
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
Page 7
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:
Strategic Intervention Material
http://www.youtube.com/watch?v=R3ugqwQugVo
Page 8
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
Related Documents
Strategic Intervention Material: Addition Of Integers
February 2021 2
Strategic Intervention Material - Speed And Velocity
February 2021 2
Strategic Intervention Materials
February 2021 2
Intervention: Writing & Grammar
January 2021 2
Strength Of Material (shrinked)
January 2021 2
Crisis & Its Intervention
January 2021 1More Documents from "Ancy Varkey"
Strategic Intervention Material: Addition Of Integers
February 2021 2
Nema Fittings
February 2021 0
5 Etapes Pour Reussir Avec La Loi D'attraction
February 2021 0
Cocktails
March 2021 0
Review Material In Cost Accounting
January 2021 1