Concepts 1.1
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Transcript Concepts 1.1
Bell Work
8/28/14
Distribute.
1.
4 x 8
4.
2 x 9 5.
2.
3 6 x 5
6 x 2
3.
5 x 2
6.
1
4 x 14
2
Tuesday’s Homework
1. Any questions?
2. Please pass your homework to the front.
• Make sure the correct heading is on your paper.
• Is your NAME on your paper?
• Make sure the homework is 100% complete.
• Incomplete work will NOT be accepted.
Heading
3/29/2016
1.7A Simplifying Expressions
(PEMDAS)
TSWBAT: use PEMDAS to solve an
algebraic expression.
Students use properties of
numbers to demonstrate whether
assertions are true or false.
Notes
• Order of Operations
• Use PEMDAS
• “Please Excuse My Dear Aunt Sally”
• Use the Left-to-Right rule when there is a tie.
= Always do the left operation first in event of a tie.
Step 1:
Step 2:
Step 3:
Step 4:
Parenthesis (Brackets and Fraction Bar too)
Exponents
Left-to-Right
Multiplication Division
Addition
Subtraction
Rule
Left-to-Right
Rule
Notes
Evaluate the expression.
Ex.
Ex.
Ex.
5 3 4 Now What! 7 4 1 Now What!2 32
5 12
17
3 1
4
Now What!
2 9
18
Now you try.
Ex.
4 32
12 2
6
Ex.
Ex.
15 4 4
11 4
7
20 2 3
20 5
4
Notes
Evaluate the expression.
Ex.
Ex.
14 2 3 7 Now30What!
8 4 52
14 6 7
87
15
Ex.
4 7 10 2 3 2
Now What!
4 7 5 3 2
Now
30What!
8 4 25 Now What!
Now What!
30 2 25
4 2 3 2
28 25
3
Now you try.
Ex.
20 2 3 5
10 3 5
10 15
25
Ex.
30 42 2
30 16 2
30 8
22
83 2
86
2
Ex.
15 1 7 4 8
14 7 4 8
2 48
8 8
0
Notes
Evaluate the expression. Let x = 5 and y = 3 .
Ex.
Ex.
Ex.
y 3x
3 3 5
3 15
18
2 x 12 y
2 5 12 3
10 12 3
10 4
6
Now you try.
Ex.
12 y x
12 3 5
4 5
20
Ex.
30 x 7 y
30 5 7 3
6 7 3
6 21
27
x2 6 7 y
2
5 6 7 3
52 6 4
25 6 4
25 24
1
Ex.
x 2 y 15
5 2 3 15
7 3 15
21 15
6
Notes
Now you try.
Evaluate the expression.
Ex.
Ex.
Ex.
Treat 25
thetop
Treat the
20 4 10
16 2 5
62 top
3 4
and bottom
and bottom
2
3
2 7 4
10 32 4
3
9
5
as two
as two
36 3 4
25 5 10
different
different
16
10
2
problems.
problems.
3 2 3
10 8
3 4
26
2
13
36 12
12
24
12
2
20 10
9 2 3
30
96
30
3
10
Summary
The order of operations is the order in which a
simplified Always evaluate
math problem is __________.
exponents then multiplication
parenthesis first, then __________,
left to right), and finally addition
and division (going ____
subtraction (going left to right).
and ___________
Today’s Homework
Rules for Homework
1. Pencil ONLY.
2. Must show all of your work.
• NO WORK = NO CREDIT
3. Must attempt EVERY problem.
4. Always check your answers.
Homework
Evaluate the expression.
1.
2 10 3
2.
4.
3 4 12 2
5.
17 9 4
3.
3 42
2 9 3 32
6.
10 5 2 3 72
Evaluate the expression. Let x = 4 and y = 6 .
7.
5x y
8.
3 y 1 x 2 9.
Evaluate the expression.
28 2 6
10.
2 5 3
11.
7 3 9 8 5
42 3 4 11
x 8 y 22
Ticket Out the Door
Complete the Ticket Out the Door without talking!!!!!
Talking = time after the bell!
Put your NAME on the paper.
When finished, turn your paper face DOWN.
Evaluate the expression.
20 4 3 7