5th Grade Unit 2 (Order of Operations)

Mystery

100

Give the correct order of operations.

Parentheses, Exponents, Multiplication OR Division, Addition OR Subtraction

200

Why is it important to know Order of Operations (PEMDAS) as a mathematician?

So everyone can solve every problem the same (correct) way.

300

What are the first 5 multiples of 7

7 , 14, 21, 28, 35.... 

400

70 + 7 x (9 - 3)  x 11 

What should you do first to solve?  Why?

What would you do next? Why 

(9-3) in parentheses 

7 x 6  first mult/division from left to right 

500

I had 2 boxes each with a dozen donuts in them.  I gave Ms. Corcoran half,  and then Mrs. M-B took 1 of what was left. 

Write an expression to match

( 12 x 2 )  ÷ 2 - 1 

Fix the Mistake

100

Fix the mistake:

9 - 3 x 2 = 12

Correct answer is 3. 

Do x then -, not - then x.

200

Fix the mistake:

64 = 7 + 1 x 8 

added first instead of multiplying first 

300

Fix the mistake:

4 x 3 - 2 x 5

 12 - 2 x 5

   10 x 5

     50

Step 3 Error: 

  12 - 10 

      2

400

Fix the mistake:

4 + 5 + 7 - 3 x 2 = 26

You need to follow PEMDAS and do x first. 

Correct answer is 10.

500

Fix the mistake:

49 = 7 x 5 + 2

need to put a parenthesis around 5 + 2 

49 = 7 x (5+2) 

Solve

100

Solve:

3 + 4 x 5

23

200

Solve:

7 + (2 x 4) - 1

14

300

Solve:

5 x 3 - 4 x 1 - (8 + 2)

5 x 3 - 4 x 1 - (8 + 2) =1

400

Solve:

20 – (5+3) x 2 + 4

8

500

Solve:

(5 x 4) – 6 ÷ 2 + 9

26

Missing Symbol

100

Insert one symbol on the ___ (+, -, x, ÷).  

Prove your answer works.

14 - 2 ___ 7 = 0 

14 - 2 x 7 = 0 

200

Add the missing parenthesis (  ) to make it true. 

Prove your answer works.

1 x 3 + 4 x 5 = 35

1 x (3 + 4) x 5 = 35

300

Insert one symbol on the ___ (+, -, x, ÷).  

Prove your answer works.

5 ___ 14 ÷ 2 × 5 = 40 

5 + 14 ÷ 2 × 5 = 40

400

Add the parenthesis (  ) to make it true.  

Prove your answer works.

6 x 1 + 4 - 3 = 7

6 x 1 + (4 - 3) = 7

500

Insert one symbol on the ___ (+, -, x, ÷).  

Prove your answer works.

(40 + 4) ___ 11 + (2 - 1) = 5

(40 + 4) divided by 11 + (2 - 1) = 5

Write the Expression

100

Write the numerical expression:

double the product of 3 and 4 

2 x (3 x 4) 

200

Write the numerical expression: 

Find the sum 7 and the difference between 10 and 2.

7 + (10 - 2) 

300

Write the numerical expression: 

4 times, the sum of 3 and 40.

4 x (3 + 40) 

400

Write the numerical expression: 

The quotient of 6 and 2 , added to the difference of 5 and 2 

(6 ÷ 2) + (5 - 2) 

500

Write the numerical expression: 

7 equal groups of the difference of 9 and 10 

(10 - 9 ) ÷ 7