Order of Operations

Introduction

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                 

SamplePProblem:                                                                                            

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 ass 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:

How to PEMDAS                

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 millionare? Now here is your chance. In the link below, you and a partner can have the chance to practive PEMDAS and havve a chance of becoming a millionare. Good luck and go for big bucks!!!!

Millionare 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

Students will be evaluated based on this rubric.

 


1 Point


2 Points


3 Points


4 Points

Score

Be able to identify the elements of PEMDAS

Can't identify more than 2 elements or all 6 with a large amount of help.

Can identify 3 elements or all 6 with a moderate amount of help. 

Can identify 4-5 elements, or all 6 with minimum help.

Correctly identifies all 6 elements.

Ability to use PEMDAS in order to solve problems.

Has major problems solving PEMDAS problems. I unable to solve problems without help.

Shows moderate difficulty in using PEMDAS and problem solving. Needs extra help to solve problems

Has minor difficulty using PEMDAS, or shows minor mistakes in problem solving

Correctly uses PEMDAS in the correct order and is able to solve problems.

Ability to reflect on lesson and is able to recall the usage of PEMDAS.

Cannot solve PEMDAS problems and had extreme difficulty seeing future application of PEMDAS.

Has some difficulty in solving PEMDAS problems and cannot effectively see future application of PEMDAS.

Can successfully use PEMDAS to solve problems or can effectively see the applications of PEMDAS in the future.

Can successfully use PEMDAS to solve problems and can effectively see the applications of PEMDAS in the future.

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 

D:Division

A: Addition

S: Subtraction

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

Credits

I would like to thank Webquest authors for their layouts. Thank you to all those who I borrowed pictures to use in this WebQuest.  I would finally like to thank the educators and students. 

I would also like to give credit to the following websites for allowing me to use their materials to help me complete this WebQuest:

Youtube.com: https://www.youtube.com/watch?v=4xsyXu9J8CA

Softschools.com : http://www.softschools.com/math/order_of_operations/games/

math-play.com : http://www.math-play.com/Order-of-Operations-Millionaire/division-millionaire.html

mrnussbaum.com : http://mrnussbaum.com/orderops/

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.