SOL 5.7 Order of Operations

Introduction

Order of Operations: The order in which multiplication, division, addition, and subtraction are completed in order to evaluate, or solve, an expression. 

 

 

When trying to open a combination lock for the first time, it may be difficult. It isn’t as simple as moving it to the three numbers. Will your locker open if you use the three numbers in any order? Does it matter if you turn the lock to the left or to the right first?

Does 3+7x5 equal 50 or 38?

Task

By completing this WebQuest, learners understand the different steps of PEMDAS, and how they work to help complete problems that requires Order of Operations. Learners will be able to use PEMDAS to complete problems of various diffculty levels. Links will be provided for the learners to use to practice and master the use of PEMDAS

Process

Identifying PEMDAS

1.  What is PEMDAS?
PEMDAS is an abbreviation used for remembering the Order of Operations. 
PEMDAS stands for: for:                                                                                                                             P=Parenthesis                                                                                                                                             E=Exponent                                                                                                                                           M=Multiplication                                                                                                                                            D=Division                                                                                                                                                 A=Addition                                                                                                                                              S=Subtraction                 

Sample Problem:                                                                                            

10+6/2                                                                                                    

By following the order of operations, we know that we must divide before adding, so 6/2=3. The second step is to add 10+3, so the answer is 13. When using PEMDAS it is important to remember the order and to remember that the multiplication and division are interchangeable, as well as addition and subtraction areiinterchangeable.          

Here is a video to help you understand how to use PEMDAS in the correct order:

            

Activity 1:

To help you begin to understand the Order of Operations, click the link below. This activity will help you in understanding the order you must follow to find the answer to the equation. 

Order of Operations Steps

                                                                                                                                                                             

Activity 2:

Ever wanted a chance to become a millionaire? Now here is your chance. In the link below, you and a partner can have the chance to practice PEMDAS and have a chance of becoming a millionaire. Good luck and go for big bucks!!!!

Millionaire Game

Activity 3:

You are a valiant of the Order of Operations. The royal family you serve have been kidnapped. You must find and royal family and discover who is behind this evil plot to destroy your kingdom. May fortune shine upon you on your journey.  

A Knight's Journey

Evaluation

Ask your teacher for the quiz to see if you have mastered Order of Operations!

Conclusion

 

Great Job! You have completed a WebQuest on the Order of Operations. 

PEMDAS is used to remember the Order of Operations. It is important to master this skill because it can help with solving longer equations. If you are trying to become a scientist, this is an important skill you must master. As a scientist, you must be able to solve difficult scientific equations that will require you to use the Order of Operations. 

Reminder:

Remember that each letter stands for a different operation: 

P: Parentheses 

E: Exponents

M:Multiplication or

D:Division from Left to Right

A: Addition or 

S: Subtraction From Left to Right

Now you will have no problem in opening the lock and you now know that 3+7x5 equal 38. 

P.S. Even though fifth graders are not expected to solve for exponents, you are now ready for them when you get to middle school!

P.P.S. Here is a link to an Order of Operations Song and Dance. Earn extra credit by working in groups of 4 to sing and dance to this song. You will record the video on your Chromebook and save it to your drive. 

 

Teacher Page

Students will complete this Web Quest as an introduction to the order of operations and PEMDAS. They will need to know how to do the following operations: parentheses, multiplication, division, addition, and subtraction. The activities are designed to familiarize students with these processes.

Email your teacher at hhadley@nps.k12.va.us or ehofilena@nps.k12.va.us if you have any questions.