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Warm UP. Write a verbal expression for, “4n 2 – 2(n+3)”. August 27, 2009. 1-2 Order of Operations. Objective: Evaluate numerical expressions by using the order of operations. Solve: 6 + 3 x 8 – 5. Problem: Ms. Falvo needs lunch Solution: Make a PPJ!.

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Warm up

Warm UP

Write a verbal expression for,

“4n2 – 2(n+3)”


1 2 order of operations

August 27, 2009

1-2 Order of Operations

Objective: Evaluate numerical expressions by using the order of operations.


Solve 6 3 x 8 5
Solve: 6 + 3 x 8 – 5


Problem ms falvo needs lunch solution make a ppj
Problem: Ms. Falvo needs lunchSolution: Make a PPJ!


Examples in real life that need a step by step order
Examples in real life that need a step by step order

  • Baking a cake

  • Taking a shower

  • Cooking

  • Making kool aid


Pemdas

PEMDAS

P lease

E xcuse

M y

D ear

A unt

S ally


Order of Operations1. Evaluate expressions inside grouping symbols. ( ) { } [ ]2. Evaluate all powers.3. Do all multiplications and/or divisions from LEFT to RIGHT.4. Do all additions and/or subtractions from LEFT to RIGHT.


Grouping symbols such as parentheses ( ), brackets [ ], and braces { } are used to clarify or change the order of operations.


Examples simplify
Examples: Simplify braces { } are used to clarify or change the order of operations.

1. 4 + 32

2. 4 + (5 + 1)2


3. 4 + [–1(–2 – 2)] braces { } are used to clarify or change the order of operations.2

4. 4( –2/3 + 4/3 )


5. 4 – 3[4 –2(6 – 3)] ÷ 2 braces { } are used to clarify or change the order of operations.

6. 16 – 3(8 – 3)2 ÷ 5


A fraction bar is another type of grouping symbol. Perform all calculations above and below the fraction bar before dividing the numerator by the denominator.


Examples simplify1
Examples: Simplify all calculations above and below the fraction bar before dividing the numerator by the denominator.

1.


2. all calculations above and below the fraction bar before dividing the numerator by the denominator.

3.


Algebraic expressions can be evaluated when the values of the variables are known 1. Replace the variables with their values. 2. Find the value of the expression using the order of operations.


Examples simplify2
Examples: Simplify the variables are known

1. 2x + 4y if x = 3 and y = 10


2. – {2 the variables are knownx – [3 – (4 – 3x)] + 6x} if x = 2

3. 14a + 5b[6 – (2c + 3)] if a = 1, b = 4, c = 3


Get with a partner
Get with a partner! the variables are known

It’s your turn to create a mnemonic for the Order of Operations!! PEMDAS! 


Workbook – p. 4 down 1 the variables are knownst column


Fill in the blanks with the correct symbol to make each equation true use x and parentheses
Fill in the blanks with the correct symbol to make each equation true. Use +, -, x, / and parentheses.

  • 4 ___ 4 ___ 4 ___ 4 = 1

  • 4 ___ 4 ___ 4 ___ 4 = 2

  • 4 ___ 4 ___ 4 ___ 4 = 3

  • 4 ___ 4 ___ 4 ___ 4 = 4


Homework – equation true. Use +, -, x, / and parentheses.

pg. 13: 22-28 even, 29-34


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