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 32
 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
 87
 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
 83 2
 86
2
Ex.
15 1  7 4  8
 14  7 4  8
 2 48
 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
thetop
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

96
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