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

2. When comparing two NEGATIVE numbers,
how do you know which one is smaller?

3. Why is absolute value always positive?

4. (teacher will give directions)
Integer Lab
(teacher will give directions)

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

6. Real-life Applications:
(brainstorm)

7. Identifying INTEGERS:
Place the following integers on the below number line: -5
-5.5 9
9.5 -7 5
-9.9 -7 -5 5 9
-9.9
-5.5
9.5

8. > < > < < > < > Comparing INTEGERS:
Place a > or a < in the following blanks:
1) 3_____-1
2) -5_____0
3) -9_____-9.5
4) -7.2_____-7
>
<
>
<
Place a > or a < in the following blanks:
1) -42_____4
2) -5.9_____-6
3) -9.1_____-9
4) 0_____-10
<
>
<
>

9. Ordering INTEGERS:
Write the following integers in DESCENDING order:
-25 15 -1 -4
-1.5
15, 0, -1, -1.5, -4, -25
Write the following integers in ASCENDING order:
-12.5 -3
-21 15
-12 -6
-21, , -12, -6, -3, 15

10. “Hmmmmm, what will it be?”
BRAIN BREAK!!
“Hmmmmm, what will it be?”

11. What is ABSOLUTE VALUE?
Absolute Value measures the distance from zero on a number line. Absolute value is ALWAYS positive because distance ALWAYS has value.

12. Modeling Absolute Value:
Model −𝟑.𝟓 on the below number line:
What other number also has an absolute value of “3.5” ? _____

13. Model 𝟕.𝟓 on the below number line:
What other number also has an absolute value of “7.5” ? _____

14. Change fraction to a mixed # !
Identifying Absolute Value:
Place a point on the number(s) with an absolute value of 𝟕 𝟐 on the below number line:
Change fraction to a mixed # !

15. Change fraction to a mixed # !
Place a point on the number(s) with an absolute value of 𝟓 𝟐 on the below number line:
Change fraction to a mixed # !

16. Evaluate: 1) |-4| 2) |9.5| 3) |-3/4| 4) |8+3| - |15| 6) - |-28 | 4 9.5
Absolute value
is ALWAYS POSITIVE!
Evaluate: 1)
|-4| 2)
|9.5| 3)
|-3/4| 4)
|8+3| 5)
- |15| 6)
- |-28 | 4
9.5
3/4 11
-15
-28

17. Evaluate: 1) |6| 2) |5 1 5 | 3) |-7.2| 4) -|2x4| - |-9| 6) - |8| 5 𝟏 𝟓
Absolute value
is ALWAYS POSITIVE!
Evaluate: 1)
|6| 2)
| | 3)
|-7.2| 4)
-|2x4| 5)
- |-9| 6)
- |8|
5 𝟏 𝟓 6
7.2
- 8
- 9
- 8

18. Wrap-it-up (summary):
When comparing two NEGATIVE numbers,
how do you know which one is smaller?
Give an example.
The one that is farthest to the left
on the number line is smaller.
EXAMPLE: -8 is smaller than -6 because it is
farther to the left on the number line.
OR…
The one that is the MOST negative is smaller.
EXAMPLE: -8 is smaller than -6 because it is more negative.

19. Wrap-it-up (summary):
Why is absolute value always positive?
Because absolute value shows distance from zero
and distance always has value.

20. END OF LESSON