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Name: _____________________________ Date:_____________ Block: __________
NUMBER LINES Examples:
Use the below number lines to model the given ADDITION problems:
1. 4 + 3 = _____
2. 7 + (-3) = _____
3. -6 + (-3) = _____
4. -10 + 2 = _____
5. -2 + (-6)= _____
PURPOSE: To practice adding and subtracting integers with number lines
and algebra tiles (charge method). SOL: 7.3
6. -4 + 7 = _____
7. -7 + (-1) = _____
8. -6 + 8 = _____
9. 10 + (-8) = _____
10. 1 + (-5)= _____
11. -3 + 0 = _____
12. -9 + (-1) = _____
13. -3 + 9 = ______
Directions:
Draw tiles onto below mats in order to model given problems (you may use “+” signs for
positives and “-” signs for negatives:
Adding Two Positives:
1. Represent 2 + 5 in the mat below. 2. Represent 8 + 3 in the mat below.
2 + 5 = ______ 8 + 3= ______
3. Represent 9 + 0 in the mat below. 4. Represent 4 + 6 in the mat below.
9 + 0 = ______ 4 + 6= ______
5. What do you notice about all of your above answers?
6. In the space below, write a rule for adding two positive numbers.
PART TWO – Algebra Tiles/Charge Method
Example: 7 + 12 = 19
Key:
= Positive
= Negative
ADDING “SAME” SIGNS: Same sign KEEP the sign and ADD
COMBINE
6. Represent -4 + 9 in the mat to the right.
Circle the zero pair(s).
How many zero pairs are in the problem ? _____
What is the solution to -4 + 9 ? _____
7. Represent 2 + (-3) in the mat to the right.
Circle the zero pair(s).
How many zero pairs are in the problem ? _____
What is the solution to 2 + (-3) ? _____
8. Represent -2 + 8 in the mat to the right.
Circle the zero pair(s).
How many zero pairs are in the problem ? _____
What is the solution to -2 + 8 ? _____
9. Represent 3 + (-5) in the mat to the right.
Circle the zero pair(s).
How many zero pairs are in the problem ? _____
What is the solution to 3 + (-5) ? _____
10. Why are some answers positive and some answers negative?
11. How can you predict the sign of the sum (answer) before you actually “do the math”?
12. Write a rule that works for adding integers with different signs.
Represent the following problems on the given number lines:
1. -2 + 6 = ………..
2. -4 + -2 = ……….
3. -5 + 3 = ……….
4. 2 + 5 = ……….
5. 9 + (-4) = ……….
6. -3 + (-4) = ……….
7. -8 + (-1) = ……….
8. 5 + (-4) = ……….
9. 3 + 6 = ……….
10. -1 + (-6) = ……….
DATE: ______/_______/_______
NAME:__________________________
“ADDITION Integer MODELING”
Directions: Draw tiles onto below mats in order to model the given problems :
1. 4 + (-3) = _____
2. -8 + (-4) = _____
3. 7 + 5 = _____
4. -12 + (3) = _____
5. 9 + (-2) = _____
6. -7 + (-6) = _____
Key:
+ = Positive
- = Negative
Algebra Tiles/Charge Method Addition
Subtraction Modeling Lab
Name:_______________________ Date: _______________________
PART ONE -- NUMBER LINES
Examples : 5 – 8 = -3
3 – (-3) = 6
Use the below number lines to model the given subtraction problems:
1. 4 – 3 = _____
2. 7 – 9 = _____
3. -6 – 3 = _____
4. -4 – 2 = _____
5. -2 – (-6)= _____
6. -5 – (-3) = _____
7. 8 – 2 = _____
8. 7 – (-2) = _____
9. 4 – 7 = _____
10. 2 – (-5) = _____
End
Start
End
Start
PART TW0 – ALGEBRA TILES / Charge Method
Example: 8 – 6 = 2
1. 9 – 2
Put 9 positive tiles on the mat.
Take 2 positive tiles away.
How many do you have left? _______
2. 7 – 5
Put 7 positive tiles on your mat.
Take 5 positive tiles away.
How many do you have left? _______
3. -9 – (-3)
Put 9 negative tiles on your mat.
Take 3 negative tiles away.
How many do you have left? _______
4. -3 – (-2)
Put 3 negative tiles on your mat.
Take 2 negative tiles away.
How many do you have left? _______
Start with 8.
Circle what
needs to be
taken away.
What’s left? Answer:
Subtraction with “Zero Pairs”:
Example: 8 -10 = -2
6. -1 – 2
Put 1 negative tile on your mat.
Do you have 2 positive tiles to take away? ______
How can you put 2 positive tiles on your mat
without changing the overall value (or “charge”)
of the mat?
How many zero pairs did you add?_______
Take away 2 positive tiles.
What do you have left? _______ (This is the answer!)
7. -4 – 3
Put 4 negative tiles on your mat.
Add zero pairs in order to take away
3 positive tiles.
How many zero pairs did you add? ________
What do you have left? ________
8. -7 – 5
Put 7 negative tiles on your mat.
Add zero pairs in order to take away
5 positive tiles.
How many zero pairs did you add? _________
What do you have left? _________
Answer:
Do we have
10 positives
to take
away??
Step Two: Step One: Step Three:
. . . So, we have to add 2 zero
pairs in order to
make 10
positives!
NOW,
take the
10 away!
9. 1 – (- 2)
Put 1 positive tile on your mat.
Add zero pairs in order to take away
2 negative tiles.
How many zero pairs did you add?_______
What do you have left? _______
10. 4 – (- 3)
Put 4 positive tiles on your mat.
Add zero pairs in order to take away
3 negative tiles.
How many zero pairs did you add? ________
What do you have left? ________
11. 7 – (-5)
Put 7 positive tiles on your mat.
Add zero pairs in order to take away
5 negative tiles.
How many zero pairs did you add? _________
What do you have left? _________
12. Why are zero pairs important?
13. Do you need zero pairs to solve the following: -2 – (-8) ?
Use a visual to support your answer.
14. Write a rule that works for subtracting integers.
Represent the following problems on the given number lines:
1. 6 – 2 = ………..
2. 3 – 7 = ……….
3. -6 – 3 = ……….
4. -1 – 5 = ……….
5. 2 – (-4) = ……….
6. -2 – (-5) = ……….
7. -8 – 1 = ……….
8. 5 – (-2) = ……….
9. 3 – 6 = ……….
10. -1 – (-6) = ……….
DATE: ______/_______/_______
NAME:__________________________
“subtraction INTEGER MODELING”
Directions: Draw tiles onto below mats in order to model the given problems .
Remember, if you don’t have the necessary tiles, you need to ADD zero pairs!
1. 4 – 2 = _____
2. -8 – (-4) = _____
3. -8 – 5 = _____
4. 10 – (-3) = _____
5. -9 – (-2) = _____
6. -7 – 9 = _____
Algebra Tiles/ Charge Method Subtraction
Key:
+ = Positive
- = Negative
