Find your seat and be ready for your Do Now Good Morning !! Find your seat and be ready for your Do Now

Estimation of the Day (EOTD) What is Peter’s height? What is too low? What is too high? Your estimate.

Estimation of the Day (EOTD) Too Low Too High

Estimation of the Day (EOTD) Peter’s is 6 feet and 4 inches tall. Were you close?

Do Now Evaluate in order from left to right. 1. 18 ÷ 3 + 7 2. 102 ÷ 4 – 8 3. 10 + 23 – 8 + 7 4. 8  2 – 3 + 24 5. 81 ÷ 9  3 + 15 13 17 32 37 42

SWBAT use the order of operations to simplify numerical expressions. Objective: SWBAT use the order of operations to simplify numerical expressions.

Vocabulary numerical expression order of operations

A numerical expression is made up of numbers and operations. Numerical Expressions 4 + 8 ÷ 2  6 371 – 203 + 2 5,006  19 When you simplify a numerical expression, you find its value.

Let’s compare these two examples Student 1 Student 2 5 + 9 • 3 – 12 ÷ 2 14 • 3 – 12 ÷ 2 42 – 12 ÷ 2 30 ÷ 2 15 5 + 9 • 3 – 12 ÷ 2 5 + 27 – 12 ÷ 2 5 + 27 – 6 32 – 6 26 Step 1: Step 2: Step 3: Step 4: Step 5:

Let’s put some meaning behind it… 5 + 9 • 3 – 12 ÷ 2 First, there were 5 students in class. Next, 9 groups of 3 students walked in. Then, half of 12 students walked out. 5 + 9 • 3 – 12 ÷ 2

When simplifying a numerical expression, rules must be followed so that everyone gets the same answer. These rules are called the order of operations. They are rules used to clarify which procedures should be performed first in a given numerical expression.

ORDER OF OPERATIONS 1. Perform operations within Grouping symbols. 2. Evaluate powers. 3. Multiply and Divide in order from left to right. 4. Subtract and Add in order from left to right.

The first letters of these words can help you remember the order of operations. Please Parentheses Excuse Exponents My Multiply/ Dear Divide Aunt Add/ Sally Subtract Helpful Hint

Order of Operations G Simplify within Grouping Symbols like ( ), { }, [ ] E Simplify Exponents M Perform multiplications and divisions in order from left to right S Perform subtractions and additions in order from left to right

Ex. 1: Using the Order of Operations Simplify the expression. Use the order of operations to justify your answer. 3 + 15 ÷ 5

TOYO 1 Simplify the expression. Use the order of operations to justify your answer. 2 + 32 · 4

Ex. 2: Using the Order of Operations Simplify the expression. Use the order of operations to justify your answer. 44 – 14 ÷ 2 · 4 + 6

TOYO 2 Simplify the expression. Use the order of operations to justify your answer. 28 – 21 ÷ 3 · 4 + 5

Ex. 3: Using the Order of Operations Simplify the expression. 42 – (3 · 4) ÷ 6

TOYO 3 Simplify the expression. 24 – (4 · 5) ÷ 4

Find your seat and be ready for your Do Now Good Morning !! Find your seat and be ready for your Do Now

Do Now Simplify the expression. Use the order of operations to justify your answer. 90−36×2 1.) 2.) 3.) 4.) 16+14÷2−7 64÷ 2 2 +4 (9−4) 2 −12×2

Estimation of the Day (EOTD) What is Peter’s wife’s height?

Estimation of the Day (EOTD) Too Low Too High

Estimation of the Day (EOTD) She is 5 feet and 5 inches tall. Were you close?

Ex. 4: Using the Order of Operations Simplify the expression. [(26 – 4 · 5) + 6]2

When an expression has a set of grouping symbols within a second set of grouping symbols, begin with the innermost set. Helpful Hint

TOYO 4 Simplify the expression. [(32 – 4 · 4) + 2]2

Communicator Activity

Find your seat and be ready for your Do Now Good Morning !! Find your seat and be ready for your Do Now

Do Now Simplify the expression. Use the order of operations to justify your answer. 8−2∙3 3 ÷2 [ 16−3∙4 +7] 2 1.) 2.)

What is Peter’s son’s height? Estimation of the Day (EOTD) What is Peter’s son’s height?

Estimation of the Day (EOTD) Too Low Too High

He is 3 feet and 7 inches tall. Estimation of the Day (EOTD) He is 3 feet and 7 inches tall. Were you close?

Ex. 5: Application Sandy runs 4 miles per day. She ran 5 days during the first week of the month. She ran only 3 days each week for the next 3 weeks. Week Days Week 1 5 Week 2 3 Week 3 Week 4 TWAP! Create a numerical expression that represents this situation. Simplify the expression (5 + 3 · 3) · 4 to find how many miles she ran last month.

TWAP 2 Jill is learning vocabulary words for a test. From the list, she already knew 30 words. She is learning 4 new words a day for 3 days each week. Day Words Initially 30 Day 1 4 Day 2 Day 3 Create a numerical expression that represents this situation. Evaluate the expression 3 · 4 · 7 + 30 to find out how many words will she know at the end of seven weeks.

Exit Ticket Simplify each expression. 1. 27 + 56 ÷ 7 2. [1+ 2+5 𝟐 ]×2 3. (28 – 8) ÷ 4 4. 136 – 102 ÷ 5 5. (9 – 5)3 – (7 + 1)2 ÷ 4

Order of Operations BINGO!

Lesson Quiz: Part II Evaluate. 6. Denzel paid a basic fee of $35 per month plus $2 for each phone call beyond his basic plan. Simplify the expression 35 + 8(2) to find how much Denzel paid for a month with 8 calls beyond the basic plan. $51

Lesson Quiz for Student Response Systems 1. Simplify the expression 36 + 63 ÷ 9. A. 11 B. 36 C. 27 D. 43

Lesson Quiz for Student Response Systems 2. Simplify the expression 3  6 – 12. A. 12 B. 36 C. 24 D. 42

Lesson Quiz for Student Response Systems 3. Simplify the expression (36 – 6) ÷ 15. A. 15 B. 10 C. 12 D. 2

Lesson Quiz for Student Response Systems 4. Simplify the expression (8 – 3)3  (9 + 1)2 ÷ 5. A. 1,000 B. 1,500 C. 2,000 D. 2,500

Lesson Quiz for Student Response Systems 5. Robert paid a $200 basic fee plus $70 a day to get his house painted. Simplify the expression 200 + 90(7) to find how much it cost him if it took 9 days to complete the painting. A. $830 B. $1260 C. $1740 D. $2030