Order of Operations Tutorial By: Melissa Griswold Lesson Examples Assessment Use the navigation buttons on the left to begin. If you are just beginning this tutorial, please start with the lesson.

Tutorial Design This tutorial will give you instruction on how to solve an expression using the Order of Operations. You will then work through some guided examples before completing an assessment to see what you have learned. You will use the buttons at the bottom of the screen to help guide you through the tutorial. The green right arrow will advance to the next slide. The red left arrow will move to the previous slide. The orange home button will take you to the beginning of the tutorial.

Materials and Directions You may use paper and pencil to complete this tutorial. You may not use a calculator! Head your paper at the beginning of each section (lesson, examples, assessment). You will turn this in at the end of the tutorial.

Order of Operations We don’t know when exactly the Order of Operations was invented, or even who is responsible for creating them. What we do know is that we couldn’t survive without them today! The order of operations is the basic set of rules on how to solve an expression. Without these rules, you could solve the same expression multiple ways and get different answers. The order of operations became even more important when computers and technology were being developed so that we could program them to solve expressions for us correctly.

P.E.M.D.A.S You have probably heard of the order of operations referred to as P.E.M.D.A.S before. These are the initials of each operation, and the order in which they belong. So what does each letter stand for? arentheses xponents ultiplication ivision ddition ubtraction

Parentheses Parentheses are a type of grouping symbols. Other types of grouping symbols are brackets and braces. You should calculate whatever is inside the parenthesis first, but you must remember to also follow the order of operations inside the parenthesis as well! Exponents Exponents are a form of repeated multiplication. The exponent tells you how many times to multiply the number by itself.

Multiplication AND Division Technically when we say the order of operations, multiplication is said before division, and addition before subtraction. But when you are evaluating an expression, these groups of operations should be done in the order that they appear in the expression from left to right. This means that division might sometimes come before multiplication, and subtraction could come before addition. Here is another illustration of the symbols where these four operations are grouped to represent that they can be done left to right. Addition AND Subtraction

Ways to Remember There are many ways to remember the order of operations. A mneumonic is a pattern of letters that associates with a word to assist you in remembering something. The most common way to remember P.E.M.D.A.S is “Please Excuse My Dear Aunt Sally”. Can you come up with a different one that will help you remember it? Another way to remember it is through a song. There are many different versions on YouTube. This one is my favorite!This one is my favorite!

Examples Let’s do some examples together! Remember to head your paper for this next section. Please copy the problem and show all of your work. You can refer to this to help you solve different problems later. If at anytime you would like to review the lesson, click on the button at the bottom of the screen. Click on the button to begin the animation to solve the expression. You may re-watch the animation of the problem by clicking on the button again. Remember no calculator!

Play Animation Lesson

Play Animation Lesson

Play Animation Lesson

Play Animation Lesson

Play Animation Lesson

Assessment Write the problem and show all of your work when solving each expression. You may use pencil and paper to solve the following expressions. Do not use a calculator. Choose the correct answer by clicking on the letter. If it is correct, you will be move to the next slide. If it is incorrect, you will need to check your work and try again. Click on the buttons to hear the sounds you should hear. Make sure you show your work for your first answer, and then rework the problem to the side. Both answers and work should be on your paper. Correct Incorrect

A. 20 B. -20 C. -1 D. 80

A. 34 B. 64 C. 177 D. 33

A. 625 B. 268 C. 187 D. 673

A. 5,889 B. 226 C. 247 D. 193

A. -1 B. 14 C D. 9

Congratulations! You have completed the tutorial on the Order of Operations! Now you have the tools to be able to solve any mathematical expression. These rules are very important and must always be followed. You will use them FOREVER!