1. Order of Operations

2. Engage
Solve the following
• 4( 11 - 3² ) ÷ 2 - 2 ∙ 6
• Once you have your
answer find it around the
room and stand by your
answer

3. What happened?
This is why the Order of Operations had to
be created.
It is a set of rules that has been agreed
upon.
It is not “mathematical fact”.
It is just an agreed upon math procedure in
order to ensure consistency in answers.

4. Let’s Talk
• What order do we solve problems in?
• Does this order matter?
• Are there problems that you could do a
different order and still get the right
answer? Will it always work?

5. Explore
Let’s Practice
• Take your worksheet to another student
and agree on a problem to work
• Trade worksheets and work the problem
on THEIR worksheet
• Sign the problem when you finish and
agree on the answer
• Continue until all questions are answered
• Return to your seat when finished

6. Explain
Let’s Forget Poor Aunt Sally!
and try a new way of thinking of order of
operations
2nd
Pitchers
3rd Mound 1st
HOME
BASE

7. Let’s think of Order of Ops more
like baseball
Multiplication/Division on
second
2nd “first come first serve”
Addition/Subtraction
third
“first come, first Exponents are on
serve” first base
3rd Equation 1st
HOME We always have Grouping
Symbols starting on home plate
Plate

8. Order of Operations
1. Parentheses (Grouping Symbols)
( ) [ ] { }
2. Exponents
43 = 4  4  4 = 64
3. Multiplication or Division (from left to
right) “First Come, First Serve”
4. Addition or Subtraction (from left to right)
“First Come, First Serve”

9. •Parentheses Example
•Exponents
•Multiply/Divide
•Add/Subtract
9÷3 + (4²+2) + 3 × 5
9÷3 + (16+2) + 3 × 5
9÷3 + (18) + 3 × 5
3 + (18) + 3 × 5
3 + (18) + 15
21 + 15
=36

10. Grammar of mathematics
• The drama club sponsor will provide 320
chairs and the choir director will provide
280 chairs. The audience will be divided
into 4 sections. Write an expression to
calculate how many chairs will be placed
into each section.
• (320 +280) ÷ 4
• 320 +280 ÷ 4 are these the same???
• No way!! Why?