Name:________________________________________________________________________________Date:_____/_____/__________
Evaluate the following ADDITION problems:
1. 25 + (-3) =
2) -4 + (-26) =
3) -82 + 2 =
4) -8 + (-100) =
5) 12 + (-42) =
Evaluate the following SUBTRACTION problems:
6) 8 – 20 =
7) -26 – 6 =
8) 9 – (-4) =
9) -2 – (-18) =
10) -14 – 7 =
Evaluate the following MULTIPLICATION problems:
11) 3 • (-6) =
12) -9 • 4 =
13) -5 • (-7) =
14) -8 • 8 =
15) -2 • (-50) =
Evaluate the following DIVISION problems:
16)
100
−2
=
17)
−49
−7
=
18)
−30
5
=
19)
90
−10
=
20)
BONUS: There are 28 doughnuts. If there are 7 officers, how many
doughnuts does each officer get?
Teacher will show video to show “answer.”Video
−12
−4
=
What’s in the Mailbox
Integer Lab
(teacher will give directions)
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?
negative
Integers include the _____________________
whole numbers, the positive whole
numbers, and zero.
Real-life Applications:
(brainstorm)
Identifying positive/negative numbers:
Place the following numbers on the below
number line:
0
-5
-3 ½ 0.5 -0.5 -41/4
0
9.5 -8.5
Comparing positive /negative numbers:
Place a > or a < in the following blanks:
1)
2)
> -8
< 0
5 _____
-100 _____
3)
4)
-1/
2
> -1
_____
< -5.5
-6 _____
Ordering positive/ negative Numbers:
Together:
Order the following from least to great:
-1/
-25
3
0
-4.5 51/4
2
5)
-25, -4.5, -1/2 , 0,
3, 5 ¼
Your Turn:
Order the following from greatest to
least:
-8
-9
-8.5
7
-7.5
-7
6)
7,
-7,
-7.5,
-8,
-8 .5,
-9
Absolute value:
distance
Absolute Value measures ___________________
zero
from ________________
on a number line.
positive
Absolute value is ALWAYS __________________
because distance ALWAYS has value!!
The SYMBOL for
ABSOLUTE VALUE
is | | !
Example: Model the absolute value of 3
(|3|) on the below number line:
0
What other number also has an absolute
value of “3” ? __________
-3
Evaluate:
1)
|9.5|
2)
9.5
3)
| -4|
-|15|
4
-15
5)
4)
|-3/4|
3/
4
6)
- |- 28|
|8–9|
-28
1
7)
On the below number line, place a
point on the number(s) with an
absolute value of 4 :
8)
On the below number line, place a
point on the number(s) with an
absolute value of 7 :
Change to a
2
mixed # !!
WHY IS ABSOLUTE VALUE ALWAYS POSITIVE??
Because distance ALWAYS has value!!
IXL HOmework
B.3
B.6
https://www.ixl.com/signin/jlsms
EARN a Smart Score of 70 & work for at least 10 minutes!
DON’T FORGET TO LOG IN!
(You won’t receive credit for doing your homework if you are not logged in!)
TO LOG IN:
CLICK on the IXL button on the Simpson Home Page (left side)
Username: given to you by your teacher
(Usually your initial of first name, and full last name)
Password: math7
•
• CLICK on MATH
• CLICK on 7th GRADE
CLICK on the skill(s) assigned for homework
EARN a Smart Score of 70 on the assigned skill(s),
then you are done!
(Spend at least 10 minutes practicing.)
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
represent the homework assigned for that day.
Math-7 NOTES
NAME:
DATE: ______/_______/_______
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.
Real-life Applications:
Identifying Positive/Negative Numbers:
Place the following numbers on the below number line:
0
-5
-3 ½
0.5
-4 1/4
- 0.5
9.5
-8.5
0
Comparing Positive /Negative Numbers:
Place a > or a < in the following blanks:
1)
5 _____ -8
2) -100 _____ 0
3)
-1/
2
_____ -1 4)
-6 _____ -5.5
Ordering Positive/ Negative Numbers:
TOGETHER-- Order the following from least to great:
-25
5)
3
0
-1/
2
-4.5
51/4
YOUR TURN-- Order the following from greatest to least:
-8
-9
-8.5
7
-7.5
-7
6)
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:
What other number also has an absolute value of “3” ? __________
Evaluate:
1) |9.5|
2)
| -4|
3) - |15|
4) |-3/4|
5) - |-28|
6) |8 - 9|
7) On the below number line, place a point on the number(s) with an
absolute value of 4 :
8) On the below number line, place a point on the number(s) with an
absolute value of 7 :
Change to a
mixed # !!
2
NAME:________________________________________________________________DATE: _____/_____/__________
Individual Practice
“Integers and Absolute Value”
Place the following numbers on the number line:
1)
-2
-6
1
5
9
½
-2.5
-9
6.75
-8.1
O
Fill in the blank with < > or = :
2)
10 ______ 12
5)
-5 ______
-10/
5
3) 0 ______ -12
4) 1/3 ______ 25%
6)
7) -15 ______ -15.1
-2 ______ -1.2
Absolute Value:
8)
Absolute value measures a number’s ________________________________ from zero
on a number line.
9) Because absolute value is a measure of distance, it is always ____________________
because distance always has value.
Evaluate:
10) |-9| =
11) | - 3 | =
12) |-258| =
13) - |923| =
14) |- 0.25 | =
15) |0| =
5
16) On the below number line, place a point on the number(s) with an absolute value
of 5 :
2
. . . continued