Transcript (-2) +

Name:________________________________________________________________________________Date:_____/_____/__________
1)_____
2) ___
Which of the following statements is false ?
A. | 15 | = -15
C. | - 2/5 | = 2/5
B. 8 = | 8 |
D. 2.6 = | -2.6 |
Only one of the following calculations gives you a different result from
the others. Which is it?
SHOW YOUR WORK!
A. 13 - 25
KCC!
3) _____
Life is always
POSITIVE
outside of jail.
B. 25 – 13
C.
-13 + 25
D. 25 + (-13)
During a winter’s night in Shrek’s swamp, the temperature was 10°F. The
wind-chill temperature that same night was -7°F (the swamp was definitely
iced over). What was the difference between the actual temperature
SHOW YOUR WORK!
and the wind-chill temperature?
A. -3°F
C. 17°F
B. 3°F
D. -17°F
KCC!
4) _____
Which of the following is equivalent to the given expression: 4 - 10
SHOW YOUR WORK!
A. 4 + (-10)
C. 10 + (-4)
B. 10 + 4
D. 10 – 4
ORDER OF OPERATIONS CHALLENGE:
Evaluate:
3 (23 x 5 ÷ 4) - 2
28
NOW WITH Negative integers…
Evaluate:
-4 – (-15 + 32 ) ÷ (-2)
-7
PROPERTY
PREVIEW
Today
We will:
1. Begin Properties Foldable
2. Practice the Following Properties:
IDENTITY PROPERTY
Of
Addition & MULTIPLICATION
AKA
Additive Identity Property
and
Multiplicative Identity Property
Identity Property:
The answer STAYS the SAME!
Just remember you can
secure your identity if you:
Add ZERO
______
OR
Multiply by ONE
_____
Name:________________________________________________________________________________Date:_____/_____/__________
Evaluate:
1)
2 + 5 x 4 = _____
You will solve the following problems as the video
presents them. Please do NOT work ahead! Let’s get
started . . .
Now, let’s watch the video!
Video Review
10 x (4 + 5)
(5 - 3) + (6 x 2)
3 x 52
Do not move on yet . . .
Do not move on yet . . .
Do not move on yet . . .
(32 + 4) + 6
20 – 10 ÷ 5
40 ÷ 4 x 5
Do not move on yet . . .
Do not move on yet . . .
Today’s Lesson:
What:
Order of Operations
Why:
To evaluate numerical expressions
(containing integers) using the Order
of Operations.
Parentheses
“Please Excuse
My Dear Aunt
Sally!”
E xponents
Multiplication
Division
Addition
Subtraction
P
(Parentheses)
E
(Exponents)
M and D
(Multiplication and Division left to right)
A and S
(Addition and Subtraction left to right)
Don’t forget the Integer Rules!
ADDITION:
ADD
Absolute
Value
SUBTRACTION:
Change 2. Follow ADDITION Rules
Keep Change, ________
1. _______,
MULTIPLICATION/DIVISION:
POSITIVE
NEGATIVE
Guided Practice:
1)
(3 + 4)2
49
2)
(3 + 4²)
19
What is the difference between
#1 and #2??
The location of the exponent!
3)
- 5 2 + (-20)
-45
4)
(-5) 2 + (-20 )
5
What is the difference between
#3 and #4??
The parenthesis around the “-5.”
You try!! Here are some examples :
A) (-2) 2 = 4
B)
-2 2 = -4
C) - (2) 2 = -4
Example:
14 ÷ (-2) + (4 – 6)
(-2 ) 3
14 ÷ (-2) + _____
14 ÷ (-2) + _____
-8
_____
-7 + -8
-15
3
5)
9 – 12 ÷ 2 + (3 – 8)
-2
Notice the
absolute
value bars!
14
7)
-15 – (-10) ÷ -2
-20
8)
2 (2 + 3) 2 - 8
42
IXL HOmework
Seventh Grade - C.9
Algebra 1 – B.2
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.
Math-7 NOTES
NAME:
DATE: ______/_______/_______
What: “Order of operations”
Why:
To evaluate numerical expressions using the Order of Operations.
First:
P
P
Next:
(Parentheses)
E
E
Then:
Last:
(Exponents)
M
D
M and D
(Multiplication and Division left to right)
A
S
A and S
(Addition and Subtraction left to right)
Don’t forget the Integer Rules!
ADDITION:
SUBTRACTION:
MULTIPLICATION/DIVISION:
1. __________, Change, ___________ 2. Follow ADDITION Rules
A COUPLE OF NOTES ABOUT PARENTHESIS & EXPONENTS…
1)
(3 + 4)2
2)
(3 + 4²)
What is the difference between #1 and #2??__________________________
3)
- 5 2 + (-20)
4)
(-5) 2 + (-20 )
What is the difference between #3 and #4??__________________________
You try!! Here are some examples like the above:
A) (-2) 2
B) -2 2
14 ÷ (-2) + (4 – 6)
14 ÷ (-2) + _____
C) - (2) 2
3
3
14 ÷ (-2) + ____
____ + -8
Notice the
absolute value
bars!
5)
9 – 12 ÷ 2 + (3 – 8)
7)
-15 – (-10) ÷ -2
8)
2 (2 + 3) 2 - 8
IXL: Alg.1 B.2
NAME:______________________________________________________________________________ DATE: _____/_____/__________
Math-7 Extra Practice
“Order of Operations”
For each of the following, CIRCLE the part of the problem that should be performed first:
Evaluate the following using the Order of Operations:
1)
2)
3)
4)
5)
6)
7)
8)
9) The following two students solved the same problem. One is correct and one
is wrong. Please choose the correct student:
Jack:
Jill:
12 – 8 ÷ 2 + (-4) • (-2)
12 – 4 + (-4) • (-2)
12 – 4 + 8
8+8
16
12 – 8 ÷ 2 + (-4) • (-2)
4 ÷ 2 + (-4) • (-2)
2 + (-4) • (-2)
-2 • (-2)
4
10) Why was the other student wrong? Please identify the specific mistakes that
were made (more than one):
NAME:______________________________________________________________________________ DATE: _____/_____/__________
Math-7 classwork
“Order of Operations”
Evaluate the following using the Order of Operations:
1)
2)
3)
4)
5)
6)
To be used
with warm up
on Day 2.
7) The following two students solved the same problem. One is correct and one
is wrong. Please choose the correct student:
Billy:
Bob:
-10 + 8 ÷ (-2) + (14 –
-10 + 8 ÷ (-2) + 10
-2 ÷ (-2) + 10
1 + 10
11
22 )
-10 + 8 ÷ (-2) + (14 – 22)
-10 + 8 ÷ (-2) + 10
-10 + -4 + 10
-14 + 10
-4
8) Why was the other student wrong? Please identify the specific mistakes that
were made: