warm up explain how to simplify the expression 27 ÷ (9 + 6) + 7 = f using order of operations

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Warm Up • Explain how to simplify the expression 27 ÷ (9 + 6) + 7 = f using Order of Operations.

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Page 1: Warm Up Explain how to simplify the expression 27 ÷ (9 + 6) + 7 = f using Order of Operations

Warm Up

• Explain how to simplify the expression27 ÷ (9 + 6) + 7 = f

using Order of Operations.

Page 2: Warm Up Explain how to simplify the expression 27 ÷ (9 + 6) + 7 = f using Order of Operations

Evaluating Expressions ExtensionAlignment Lesson

Day 77

Page 3: Warm Up Explain how to simplify the expression 27 ÷ (9 + 6) + 7 = f using Order of Operations

9 x 4 + 2 – 4 x 7 x 4• Solve this expression using the knowledge of

the Order of Operations you already have. • You may use parentheses ( ) if you want.• I would like several students to share ONLY your

answers to this expression• Answers can be different since you are allowed

to add symbols to the expression.• See if you can figure out how to reach some of

the same solutions as your classmates.

Page 4: Warm Up Explain how to simplify the expression 27 ÷ (9 + 6) + 7 = f using Order of Operations

Solve these expressions using the knowledge of the Order of Operations you already have. You may use parentheses ( ), brackets [ ], and braces { } if you want.

6 + 6 ÷ 3 - 2 x 1

100 – 50 + 2 x 4 ÷ 4• Share solutions!• Then see if you can figure out how to reach the same

solutions as your classmates.

Page 5: Warm Up Explain how to simplify the expression 27 ÷ (9 + 6) + 7 = f using Order of Operations

9 x 4 + 2 – 4 x 7 x 4• Let’s go back to the original

expression!• Make expression equal 40. • What do they have to do to make this

true? • Is there more than one way to do this?• Explain how you solved the expression.

Page 6: Warm Up Explain how to simplify the expression 27 ÷ (9 + 6) + 7 = f using Order of Operations

Group Work – Find day 77, “Solve My Expression”

• I going to put you in groups of 4. • Within your group, you will form two pairs. • Each pair will create three expressions, that can be solved in

different ways, depending on where we put the ( ) or [ ]. • Make sure you solve your own expression at least one way,

so you can either give your partners a hint when solving or ask them to solve for a specific answer.

• Example: 84 ÷ 2 x 3 + 3 x 100, where they want it to be solved like [84 ÷ (2 x 3)] + (3 x 100) = 314.

• Write your expressions on “Solve My Expression”.• Trade your expressions with the other pair in your group.• The other pair should solve the expression in the space

provided.

Page 7: Warm Up Explain how to simplify the expression 27 ÷ (9 + 6) + 7 = f using Order of Operations

(3 + 5) x (7 - 3) x (5 x 2) ÷ (9 – 1)

• Can you determine which parentheses can be removed without changing the value of the expression?

• You may work with a partner to solve!• Answer:

– The parentheses around 5 x 2 can be removed without changing the value of the expression.

• Why can these parentheses be removed without changing the value of the expression?

• Answer:• Since the operation in those parentheses is multiplication and the

operations before it (after the parentheses are simplified) are all multiplication, removed those parentheses doesn’t change the answer because you can multiply the numbers in any order.

Page 8: Warm Up Explain how to simplify the expression 27 ÷ (9 + 6) + 7 = f using Order of Operations

Homework

• Day 77, “Solve My Expression Homework”