Name:________________________________________________________________________________Date:_____/_____/__________

1) Integers refer to positive numbers, _____________

numbers, and ____________ .

2) The absolute value of a number refers to its

______________ from ___________ on a number line.

3) Absolute value is ALWAYS __________________ !

4) Evaluate:

5) Place a point on the number(s) that have an absolute value

of on the below number line:

6) Model the meaning of −6 on the number line below (think

distance):

7) Order the following numbers from least to great:

-2, -2.5, ¾, - ¾ , 0, ½

8) You get two paychecks for $25 and $30. You also get a

bill for $60. How much money do you have? _______

| -6| -| 5/7 | | 1.9| | 12 + 14 |

3

2

Name: _______________________________________________________________________________ Date: _____/_____/__________

PART ONE -- NUMBER LINESExample:

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 integers with both number lines and

algebra tiles.

6. -4 + 7 = _____

7. -7 + (-1) = _____

8. -6 + 8 = _____

9. 10 + (-8) = _____

10. -1 + (-5)= _____

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 4 + 6 in the mat below.

4 + 6= ______

Adding Two Negatives:4. Represent -3 + -4 in the mat below. 5. Represent -1 + -8 in the mat below.

-3 + -4 = ______ -1 + -8 = ______

REFLECTION – Adding Two Positive Integers:

What do you notice about all of the above answers?

In the space below, write a rule for adding two positives.

6. Represent -6 + -5 in the mat below.

-6 + -5 = ______

Key:

= Positive

= Negative

The zero pairs

are circled.

We remove

zero pairs!

Step One:

Step Two:

Answer: The answer is “3” because there are

3 positives left over.

ADDING “DIFFERENT” SIGNS:

Example: 6 + (-3) = 3

+

-

1. Represent 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 + 1? ____

REFLECTION – Adding Two Negative Integers:

What do you notice about all of the above answers?

In the space below, write a rule for adding two negatives.

2. Represent 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 + (-1 )? ____

3. Represent in the mat to the right.

Circle the zero pair(s).

How many zero pairs are in the problem? ____

What is the solution to -5 + 3? ____

4. Represent 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 ? _____

REFLECTION – Adding Integers with Different Signs:

Why are some answers positive and some answers negative?

In the space below, write a rule for adding integers with different signs.

Wrap-it-Up (Summary):

When adding positive and negative integers,

how can you know if the answer is positive or

negative BEFORE actually doing any math?

What is a zero pair?

Exit Ticket ADDITION MODELING LAB

NAME:___________________________________________________________________________________Date:_____/_____/__________

Evaluate the following problems (give answers), AND model the problems using the number line method:

1. 6 + (-4) = _____ :

2. -2 + (-1) =_____:

Evaluate the following problems(give answer), AND model the problems using the “algebra tile” method:

3. -8 + 3 = _____

4. In your own words, describe what a zero pair is. ________________________________________________________________________________________________________________________________________________________________________

5. Would the answer to 20 + (-25) be positive or negative? __________________

Why? ________________________________________________________________________________________________________________________________________________________

Key:

+ = Positive

- = Negative

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.

Math-7 Homework

NAME:_______________________________________________________________________________DATE: _____/______/___________

“ADDITION 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.

Key:

+ = Positive

- = Negative

. . . continued