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.

What is an integer?

Integers include the _____________________ whole numbers, the positive whole numbers, and zero.negative

Real-life Applications:

Identifying positive/negative numbers:Place the following numbers on the below number line:

0 -5 -3 ½ 0.5 -0.5 -41/4 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 _____ - 3.75 -10 _____ -9

>>

><> <

Ordering positive/ negative Numbers:

Order the following from least to great:-25 3 0 -1/2 -4.5 51/41.Order the following from greatest to least:-8 -9 -8.5 7 -7.5 -72.

-25, -4.5, -1/2 , 0, 3, 5 ¼

7, -7, -7.5, -8, -8 .5, -9

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:

distancezero positiveThe SYMBOL for ABSOLUTE VALUEis | | !

Evaluate:|9| | -4| -|15| |-3/4|

- |- 28| |-6| + | 5| |15 - 16| |12 - 14|9 4 -15 ¾

- 28 11 1 2 WHY IS ABSOLUTE VALUE ALWAYS POSITIVE??Because distance ALWAYS has value!!

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.

Real-life Applications:

Math-7 NOTES DATE: ______/_______/_______What: Introduction to integersWhy: To introduce integers, identify real-life applications, compare/order integer numbers, and study the absolute value of numbers.NAME:

Identifying positive/negative numbers:

Place a > or a < in the following blanks:5 _____ -8 -1 _____ 0 -1/2 _____ -1-5.5 _____ -6 -3 _____ - 3.75 -10 _____ -9

Place the following numbers on the below number line:0 -5 -3 ½ 0.5 - 0.5 -4 1/4 9.5 -8.5

0

Comparing positive /negative numbers:

What is an integer?Integers include the _______________________________ whole numbers, the positive whole numbers, and zero.

Ordering positive/ negative Numbers:

Order the following from least to great:-25 3 0 -1/2 -4.5 51/41.Order the following from greatest to least:-8 -9 -8.5 7 -7.5 -72.

Absolute value:Absolute Value measures _____________________ from ________________ on a number line. Absolute value is ALWAYS ______________________ because distance ALWAYS has value.Evaluate:|9| | -4| - |15| |-3/4|

- |-28| |-6| + |5| |15 - 16| |12 - 14|

Example: Model the absolute value of 3 (|3|) on the below number line: .

1) 10 ______ 12 2) 0 ______ -12 3) 1/3 ______ 25%4) -5 ______ -5.5 5) -2 ______ -1.2 6) -15 ______ -15.1

10) |-9| = 11) |25| = 12) |-258| =13) - |923| = 14) |- 0.25 | = 15) |0| =16) |-9| + | 8 - 10| = 17) - |-250| = 18) |-5| + |-12| =

Absolute Value:7) Absolute value measures a number’s ________________________________ from zero on a number line.8) Because absolute value is a measure of distance, it is always ____________________ because distance always has value.

O

Place the following numbers on the Number Line:-2 -6 1 5 9 -7 -4

½ -2.5 -3.2 6.75 -8.1 -1/3 0.9

Fill in the blank with < > or = :

NAME:________________________________________________________________DATE: _____/_____/__________PRACTICE WORK“Integers and absolute value”

9) Model the absolute value of “-6” ( |-6|) on the below number line: O