Name:______Class:______Date______

SWBAT use the order of operations (GEMDAS) to simplify expressions with mixed grouping symbols

Do Now
Use the expression 3 + 5 x 2 to answer the following questions:
1.)  What answer do you get if you multiply before adding?
2.)  What answer do you get if you add before multiplying?
3.)  How does the order in which you do the operations affect your answer?
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4.)  Where in your life is the order that you do something important?
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Class Notes – Order of Operations
GEMDAS
G______
E______
(M______/D______)
(A_.______/S______)
Order of Operations Steps
Step 1: Grouping Symbols
·  First Parenthesis ( )
·  Next: Brackets [ ]
·  Last Curly Braces { }
Step 2: Multiply/Divide from left to right
Step 3: Add/Subtract from left to right
I Do
Example:
{3 + [22 – (6 + 7)] + 1}
Step 1:
Step 2:
Step 3:
Step 4:
I Do – You Help
15 - 7[83 – (9 x 9)]
NOTE: When you see a number next to a parenthesis with no operation symbol,
this means to ______
Step 1: 15 - 7[83 – (9 x 9)]
Step 2:
Step 3:
Step 4:
You Do – I Help
Find the value of the expression [17 –(2 + 8) ¸ 2] ¸ 3
Step 1:
Step 2:
Step 3:
Step 4
Bachelors Practice
1.) 4(3 + 5) 2.) [(2+3) × 4] + 1
3.) 4(11 + 7) - 9 · 8 4.) [35 – ( 4 + 5) · 3] ¸ 5
5.) {2 + 3[ 4 + (6 · 3 – 8)]} ¸ 2 6.) 2{1 + [4(2+1) + 3]}
Exit Ticket

à  Mastered à Almost à Not Yet

1. 15 – (4 x 2 ¸ 2) + 5 2. 11 – [3(11 -3) ¸ 4] + 7

3. Fill in the blanks: Order of operation steps

Step 1: ______

Step 2:______from ______to ______

Step 3:______from ______to ______

5.)  When you have operations in grouping symbols, which do you simplify first?

  1. { }
  2. ( )
  3. [ ]

Homework
Must show all work and answer all problems to get full credit. Use PENCIL!!!
Show EVERY STEP!!!!

1.) {[3 · 5(3 + 6 · 2) – 125] + 20 ¸ 10

2.) [(72 ¸ 6) – 2(1 + 3)] + 10 3.) 25 + {2[30 + 8 – 7(25 ¸ 5) + 11]}