Algebra StAIR Lesson: The Order of Operations

Algebra StAIR Lesson:The Order of Operations Mrs. Lewis next

Lesson Objectives This lesson will teach you everything you need to know about the Order of Operations. By the end of this lesson you will be able to… • Understand and explain why we need an established Order of Operations • State the correct Order of Operations • Use the Order of Operations to simplify numerical expressions • Use the Order of Operations to simplify algebraic expressions back next

Instructions • Complete this lesson on your own and at your own pace. • Use the navigational buttons along the bottom to move throughout the lesson. • Take notes as you go. The objectives (on the previous page) will be assessed by a quiz at the end of this lesson and on our Chapter Test. • After linking to a website, simply close your browser window to return to this lesson. • Have a pencil, paper, and a calculator handy. • Have fun! back next

Let’s warm up! 1. Simplify Click here if you need a quick refresher on powers. a. 8 b. 2 c. 16 d. 1/2

Let’s warm up! Exponent 1. Simplify Base Hint: The exponent tells you how many times to multiply the base! Go back and try again! back

Let’s warm up! 1. Simplify Great! next

Let’s warm up! 2. Simplify Click here if you need a quick refresher on absolute value. a. 11 b. -11 c. 21 d. -21

Let’s warm up! Absolute Value Bars 2. Simplify Hint: The absolute value of a number is its distance from zero on a number line. (always positive) Go back and try again! back

Let’s warm up! 3. Simplify Click here if you need a quick refresher on powers. a. -6 b. -5 c. 8 d. -8

Let’s warm up! Exponent 3. Simplify Base Hint: The exponent tells you how many times to multiply the base! Go back and try again! back

Now that’s all fine and dandy… …but what happens when we have to simplify an expression with more than one operation?! How do you know which operation to do first? next

For example… Take a moment to think about how you would solve this problem. When you have an answer in your head, click next. next

Without an Order of Operations… Sally might do this… Mrs. Lewis might do this… Einstein might do this… Billy might do this… next

Question of the day… Who is right? The truth is…if there were no established Order of Operations, everyone would be right. But that doesn’t get us anywhere! Maybe someone should decide on a standard order for doing mathematical operations so that we can all get the same answer every time! next

The ORDER OF OPERATIONS Parentheses Exponents Multiplication/Division (Left to Right) Addition/Subtraction (Left to Right) PEMDAS next

How am I supposed to remember that? Please Excuse My Dear Aunt Sally Watch a music video here! (Video will play after a short advertisement) next

So who was right? Mrs. Lewis!Who did you think?! Let’s take a look at the problem again… Parentheses? No. Exponents? No. Multiply/Divide? Yes! L to R Add/Subtract? Yes! L to R next

Click play next

Let’s look at some examples… 1. Simplify Parentheses? No. Exponents? Yes! Multiply/Divide? Yes! L to R Add/Subtract? Yes! L to R See another example Challenge me

Let’s look at some examples… 2. Simplify Parentheses? No. Exponents? Yes! Multiply/Divide? Yes! L to R Add/Subtract? Yes! L to R Review more Move on

Challenge! Brackets are just like parentheses Simplify a. 81 b. 96 c. 0 d. 64 Parentheses? Yes! 2 sets. Work from the inside out. Exponents? Yes! Multiply/Divide? Yes! L to R Add/Subtract? Yes! L to R

Challenge! Brackets are just like parentheses Simplify Parentheses? Yes! 2 sets. Work from the inside out. Exponents? Yes! Multiply/Divide? Yes! L to R Add/Subtract? Yes! L to R next

Let’s look at some examples… 3. Evaluate for Substitute 7 for x. Parentheses? No. Exponents? No. Multiply/Divide? Yes! L to R Add/Subtract? Yes! L to R See another example Challenge me

Let’s look at some examples… 4. Evaluate for Substitute 24 for x. Parentheses? Yes! Exponents? Yes! Multiply/Divide? Yes! L to R Review more Move on

Challenge! Evaluate for a. 18 b. 78 c. 3 d. 152 Substitute 6 for x. Parentheses? Yes! 2 sets. Exponents? Yes! Multiply/Divide? Yes! L to R

Challenge! Evaluate for Substitute 6 for x. Parentheses? Yes! 2 sets. Exponents? Yes! Multiply/Divide? Yes! L to R next

Let’s change things up… Choose the operation that makes the statement true.

Choose the operation that makes the statement true.

Now it’s your turn… 1. Simplify a. -6 b. -2 c. 4 d. 2.5

“That was absolutely dreadful.” Go back and try again! back

Now it’s your turn… 2. Simplify a. -6 b. 6 c. 3 d. -3

“You’re fired!” Go back and try again! back

Now it’s your turn… 3. Evaluate for a. 48 b. 72 c. -32 d. -48

“Bring me your torch. The tribe has spoken.” Go back and try again! back

Time for a game… • You will now play a game of Order of Operations Millionaire! • After choosing a player and typing in your name, you will answer 10 questions. • Please print your certificate and turn in to Mrs. Lewis when you are finished. • Click here to play! next

Review What is the correct Order of Operations? a. Always go straight from left to right. b. Do the easy parts first and then everything else. c. You get the same answer no matter what order. d. parentheses, exponents, multiply/divide, add/subtract

You are nearing the end… Choose an option from the list below. I am completely lost! I need to go through the examples again. Can I see one more video explanation? I’m ready for the quiz!

QUIZ Please record all work and your answers on a piece of paper and turn it in to Mrs. Lewis when you are finished. I’m ready

QUIZ • Why do we need an established Order of Operations? • What is the correct Order of Operations? Be specific. • Simplify • Evaluate for done

Great job!You have completed this lesson!Turn in:QuizMath Millionaire Certificate

Algebra StAIR Lesson: The Order of Operations