[PDF] NUMBER LINES PDF

[PDF] Adding and Subtracting Integers

Adding and Subtracting Integers Find each sum 1) 3 + (?7) 2) (?10) + 12 3) (?5) + 8 4) (?4) + 6 5) (?8) + 12 6) 6 + (?11) 7) (?7) + 2

[PDF] Adding and Subtracting Integers

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Name___________________________________ Period____ Date________________ Adding and Subtracting Integers Evaluate each expression 1) 5 ? (?6)

[PDF] Adding and Subtracting Integers

1) −4 2) 2 3) 3 4) 2 5) 4 6) −5 7) −5 8) −17 9) −13 10) 2 11) −1 12) 0 13) −1 14) 7 15) −9 16) 9 17) 2 18) 0 19) −1 20) 12 21) −3 22) 1 23) 6

[PDF] NUMBER LINES

Examples: Use the below number lines to model the given ADDITION problems: 1 PURPOSE: To practice adding and subtracting integers with number lines

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2582_6AddandSubtractIntegersInvestigation.pdf 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:

GUMR PLOHV RQPR NHORR PMPV LQ RUGHU PR PRGHO JLYHQ SURNOHPV \RX PM\ XVH ´Ąµ VLJQV IRU positives and ´-µ VLJQV 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 ² Algebra Tiles/Charge Method

Example: 7 + 12 = 19

Key: = Positive = Negative $GGH1* ´6$0(µ 6H*16 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. +RR ŃMQ \RX SUHGLŃP POH VLJQ RI POH VXP MQVRHU NHIRUH \RX MŃPXMOO\ ´GR POH PMPOµ"

12. Write a rule that works for adding integers with different signs.

Represent the following problems on the given number lines:

1. -2 Ą 6 """BB

2. -4 + -2 """B

3. -D Ą 3 """B

4. 2 Ą D """B

5. 9 + (-4 """B

6. -3 + (-4 """B

7. -8 + (-1 """B

8. 5 + (-4 """B

9.3 Ą 6 """B

10. -1 + (-6 """B

DATE: __/_/_____

NAME:__________________________

´$GGH7H21 Integer MODELINGµ

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 ² 8 = -3

3 ² (-3) = 6 Use the below number lines to model the given subtraction problems:

1. 4 ² 3 = _____

2. 7 ² 9 = _____

3. -6 ² 3 = _____

4. -4 ² 2 = _____

5. -2 ² (-6)= _____

6. -5 ² (-3) = _____

7. 8 ² 2 = _____

8. 7 ² (-2) = _____

9. 4 ² 7 = _____

10. 2 ² (-5) = _____

End

Start

End

Start

PART TW0 ² ALGEBRA TILES / Charge Method

Example: 8 ² 6 = 2

1. 9 ² 2

Put 9 positive tiles on the mat.

Take 2 positive tiles away.

How many do you have left? _______

2. 7 ² 5

Put 7 positive tiles on your mat. Take 5 positive tiles away.

How many do you have left? _______

3.-9 ² (-3)

Put 9 negative tiles on your mat.

Take 3 negative tiles away.

How many do you have left? _______

4. -3 ² (-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.

JOMP·V OHIP" Answer:

6XNPUMŃPLRQ RLPO ´=HUR 3MLUVµ

Example: 8 -10 = -2

6. -1 ² 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 RLPORXP ŃOMQJLQJ POH RYHUMOO YMOXH RU ´ŃOMUJHµ 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 ² 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 ² 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 (- 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 ² (- 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 ² (-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 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 """BB

2. 3 ² 7 """B

3. -6 ² 3 """B

4. -1 ² D """B

5. 2 ² (-4 """B

6. -2 ² (-D """B

7. -8 ² 1 """B

8. 5 ² (-2 """B

9. 3 ² 6 """B

10. -1 ² (-6 """B

DATE: __/_/_____

NAME:__________________________

´subtraction INTEGER 02G(IH1*µ

Directions: Draw tiles onto below mats in order to model the given problems .

5HPHPNHU LI \RX GRQ·P OMYH POH QHŃHVVMU\ PLOHV \RX QHHG PR $GG ]HUR SMLUVA

1. 4 ² 2 = _____

2. -8 ² (-4) = _____

3. -8 ² 5 = _____

4. 10 ² (-3) = _____

5. -9 ² (-2) = _____

6. -7 ² 9 = _____

Algebra Tiles/ Charge Method Subtraction

Key: + = Positive - = Negative

[PDF] NUMBER LINES

NUMBER LINES

Examples:

1.4 + 3 = _____

2.7 + (-3) = _____

3.-6 + (-3) = _____

4.-10 + 2 = _____

5.-2 + (-6)= _____

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:

Adding Two Positives:

1. Represent 2 + 5 in the mat below. 2. Represent 8 + 3 in the mat below.

3. Represent 9 + 0 in the mat below. 4. Represent 4 + 6 in the mat below.

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 ² Algebra Tiles/Charge Method

Example: 7 + 12 = 19

COMBINE

6. Represent -4 + 9 in the mat to the right.

7. Represent 2 + (-3) in the mat to the right.

8. Represent -2 + 8 in the mat to the right.

9. Represent 3 + (-5) in the mat to the right.

12. Write a rule that works for adding integers with different signs.

1. -2 Ą 6 """BB

2. -4 + -2 """B

3. -D Ą 3 """B

4. 2 Ą D """B

5. 9 + (-4 """B

6. -3 + (-4 """B

7. -8 + (-1 """B

8. 5 + (-4 """B

9.3 Ą 6 """B

10. -1 + (-6 """B

DATE: ______/_______/_______

NAME:__________________________

´$GGH7H21 Integer MODELINGµ

1. 4 + (-3) = _____

2. -8 + (-4) = _____

3. 7 + 5 = _____

4. -12 + (3) = _____

5. 9 + (-2) = _____

6. -7 + (-6) = _____

Algebra Tiles/Charge Method Addition

Subtraction Modeling Lab

Name:_______________________

Date: _______________________

PART ONE -- NUMBER LINES

Examples : 5 ² 8 = -3

1. 4 ² 3 = _____

2. 7 ² 9 = _____

3. -6 ² 3 = _____

4. -4 ² 2 = _____

5. -2 ² (-6)= _____

6. -5 ² (-3) = _____

7. 8 ² 2 = _____

8. 7 ² (-2) = _____

9. 4 ² 7 = _____

10. 2 ² (-5) = _____

Start

Start

PART TW0 ² ALGEBRA TILES / Charge Method

Example: 8 ² 6 = 2

1. 9 ² 2

Put 9 positive tiles on the mat.

Take 2 positive tiles away.

How many do you have left? _______

2. 7 ² 5

How many do you have left? _______

3.-9 ² (-3)

Put 9 negative tiles on your mat.

Take 3 negative tiles away.

How many do you have left? _______

4. -3 ² (-2)

DATE: __/_/_____

6XNPUMŃPLRQ RLPO ´=HUR 3MLUVµ

DATE: __/_/_____

5HPHPNHU LI \RX GRQ·P OMYH POH QHŃHVVMU\ PLOHV \RX QHHG PR $GG ]HUR SMLUVA