1. Introduction to integers
Today’s lesson . . .
What:
Introduction to integers
Why:
To introduce integers, identify real-life applications, compare/order integer numbers, and study the absolute value of numbers.

2. What is an integer?
Integers include the _____________________ whole numbers, the positive whole numbers, and zero.
negative

3. Real-life Applications:

4. Identifying positive/negative numbers:
Place the following numbers on the below number line: -5
-3 ½
0.5
-0.5
-41/4
9.5
-8.5

5. Place a > or a < in the following blanks:
Comparing positive /negative numbers:
Place a > or a < in the following blanks:
5 _____ -8
-1 _____ 0
-1/2 _____ -1
-5.5 _____ -6
-3 _____
-10 _____ -9
>
>
<
>
>
<

6. Ordering positive/ negative Numbers:
Order the following from least to great:
-25 3
-1/2
-4.5
51/4 1.
Order the following from greatest to least: -8 -9
-8.5 7
-7.5 -7 2.
-25, , -1/2 , 0, 3, 5 ¼
7, , , , ,

7. Absolute value:
Absolute Value measures ___________________ from ________________ on a number line. Absolute value is ALWAYS __________________ because distance ALWAYS has value!!
distance
zero
positive
The SYMBOL for
ABSOLUTE VALUE
is | | !
Example: Model the absolute value of 3 (|3|) on the below number line:

8. Because distance ALWAYS has value!!
Evaluate:
|9|
| -4|
-|15|
|-3/4|
- |- 28|
|-6| + | 5|
| |
| | 9 4
-15
- 28 11 1 2
WHY IS ABSOLUTE VALUE ALWAYS POSITIVE??
Because distance ALWAYS has value!!

9. END OF LESSON
The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed.
NOTE: The last slide(s) in any lesson slideshow (entitled “Practice Work”) represent the homework assigned for that day.

10. Math-7 NOTES Place the following numbers on the below number line: -5
DATE: ______/_______/_______
What: Introduction to integers
Why: To introduce integers, identify real-life applications, compare/order integer numbers, and study the absolute value of numbers.
NAME:
What is an integer?
Integers include the _______________________________ whole numbers, the
positive whole numbers, and zero.
Real-life Applications:
Identifying positive/negative numbers:
Place the following numbers on the below number line: -5
-3 ½
0.5
- 0.5
-4 1/4
9.5
-8.5
Comparing positive /negative numbers:
Place a > or a < in the following blanks:
5 _____ -8
-1 _____ 0
-1/2 _____ -1
-5.5 _____ -6
-3 _____
-10 _____ -9

11. -1/2 Order the following from least to great: -25 3 -4.5 51/4 1.
Ordering positive/ negative Numbers:
Order the following from least to great:
-25 3
-1/2
-4.5
51/4 1.
Order the following from greatest to least: -8 -9
-8.5 7
-7.5 -7 2.
Absolute value:
Absolute Value measures _____________________ from ________________
on a number line. Absolute value is ALWAYS ______________________ because distance ALWAYS has value.
Example: Model the absolute value of 3 (|3|) on the below number line: .
Evaluate:
|9|
| -4|
- |15|
|-3/4|
- |-28|
|-6| + |5|
| |
| |

12. “Integers and absolute value”
NAME:________________________________________________________________DATE: _____/_____/__________
PRACTICE WORK
“Integers and absolute value”
Place the following numbers on the Number Line: -2 -6 1 5 9 -7 -4
-2.5
-3.2
6.75
-8.1
-1/3
0.9 O
Fill in the blank with < > or = :
10 ______ 12
2) 0 ______ -12
3) 1/3 ______ 25%
4) ______ -5.5
5) ______ -1.2
6) ______
Absolute Value:
Absolute value measures a number’s ________________________________ from zero
on a number line.
Because absolute value is a measure of distance, it is always ____________________
because distance always has value.
9) Model the absolute value of “-6” ( |-6|) on the below number line: O
10) |-9| =
11) |25| =
12) |-258| =
13) - |923| =
14) | | =
15) |0| =
16) |-9| + | | =
17) |-250| =
18) |-5| + |-12| =