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Do Now 9/9/11 Do Now 9/9/11 Copy HW in your planner. Copy HW in your planner. Text p. 9 & 10, #8-32 evens, #43-45 Text p. 9 & 10, #8-32 evens, #43-45 all all In your journal, simplify the In your journal, simplify the following expression. Explain your following expression. Explain your thought process. thought process. 3 + 7 x 3 3 + 7 x 3

Do Now 9/9/11 Copy HW in your planner. Copy HW in your planner. Text p. 9 & 10, #8-32 evens, #43-45 all In your journal, simplify the following expression

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Page 1: Do Now 9/9/11 Copy HW in your planner. Copy HW in your planner. Text p. 9 & 10, #8-32 evens, #43-45 all In your journal, simplify the following expression

Do Now 9/9/11Do Now 9/9/11

Copy HW in your planner.Copy HW in your planner. Text p. 9 & 10, #8-32 evens, #43-45 allText p. 9 & 10, #8-32 evens, #43-45 all

In your journal, simplify the following expression. In your journal, simplify the following expression. Explain your thought process. Explain your thought process.

3 + 7 x 33 + 7 x 3

Page 2: Do Now 9/9/11 Copy HW in your planner. Copy HW in your planner. Text p. 9 & 10, #8-32 evens, #43-45 all In your journal, simplify the following expression

Evaluate the Expression

3 + 7 x 3

3 + 7 = 10

10 x 3 = 30307 x 3 = 21

3 +21 = 2424

Page 3: Do Now 9/9/11 Copy HW in your planner. Copy HW in your planner. Text p. 9 & 10, #8-32 evens, #43-45 all In your journal, simplify the following expression

Objective

SWBAT use the order of operations to simplify numerical expressions.

Page 4: Do Now 9/9/11 Copy HW in your planner. Copy HW in your planner. Text p. 9 & 10, #8-32 evens, #43-45 all In your journal, simplify the following expression

Numerical expressionconsists of numbers and

operations

9 + 89 + 8

6(10)6(10)

4 - 94 - 9

5 ÷ 25 ÷ 2

Section 1.1, Order of Operations

Page 5: Do Now 9/9/11 Copy HW in your planner. Copy HW in your planner. Text p. 9 & 10, #8-32 evens, #43-45 all In your journal, simplify the following expression

Order of Operations – the rules established to simplify an expression involving more than one operation

(4 + 7 · 6)² 10 ÷ 2 · 6

Page 6: Do Now 9/9/11 Copy HW in your planner. Copy HW in your planner. Text p. 9 & 10, #8-32 evens, #43-45 all In your journal, simplify the following expression

11

33

44

PPEEMDMDASAS

22

Order of Operations

Perform operations within grouping signs. Perform operations within grouping signs. ( ) parentheses, [ ] brackets, fraction bars( ) parentheses, [ ] brackets, fraction bars

Evaluate powers.Evaluate powers.

Multiply and divide in order from left to right.Multiply and divide in order from left to right.

Add and subtract in order from left to right.Add and subtract in order from left to right.

Page 7: Do Now 9/9/11 Copy HW in your planner. Copy HW in your planner. Text p. 9 & 10, #8-32 evens, #43-45 all In your journal, simplify the following expression

Simplify the ExpressionPPEEMDMDASAS

18 - 818 - 8

1010

18 - 2 18 - 2 · 4· 4

Page 8: Do Now 9/9/11 Copy HW in your planner. Copy HW in your planner. Text p. 9 & 10, #8-32 evens, #43-45 all In your journal, simplify the following expression

Simplify the ExpressionPPEEMDMDASAS

9 9 ·· 4 4

3636

18 18 ÷÷ 2 2 · 4· 4

Page 9: Do Now 9/9/11 Copy HW in your planner. Copy HW in your planner. Text p. 9 & 10, #8-32 evens, #43-45 all In your journal, simplify the following expression

POWER the result of repeated

multiplication of the same factor

3344

BASEBASE

EXPONENTEXPONENT3333

Repeated Multiplication (Factors)Repeated Multiplication (Factors)

WordsWords

three to the three to the fourth powerfourth power

Remember this???

Remember this???

Page 10: Do Now 9/9/11 Copy HW in your planner. Copy HW in your planner. Text p. 9 & 10, #8-32 evens, #43-45 all In your journal, simplify the following expression

Simplify the ExpressionPPEEMDMDASAS

4 + 7 4 + 7 · · 334 + 4 + 2121

2525

²²2 + 7 2 + 7 · · 33

Page 11: Do Now 9/9/11 Copy HW in your planner. Copy HW in your planner. Text p. 9 & 10, #8-32 evens, #43-45 all In your journal, simplify the following expression

Simplify the ExpressionPPEEMDMDASAS

12 – 7 12 – 7 14 + 614 + 6

Grouping symbolGrouping symbol

(14 + 6) (14 + 6) ÷ (12 – 7) ÷ (12 – 7)

20 20 ÷ 5 ÷ 5

4 4

Page 12: Do Now 9/9/11 Copy HW in your planner. Copy HW in your planner. Text p. 9 & 10, #8-32 evens, #43-45 all In your journal, simplify the following expression

Simplify the Expression

[2 x (4 + 4)] +[2 x (4 + 4)] + 33

PPEEMDMDASAS

[2 x 8] + 3

16 + 3

43

³³

³³

³³16 + 27

Page 13: Do Now 9/9/11 Copy HW in your planner. Copy HW in your planner. Text p. 9 & 10, #8-32 evens, #43-45 all In your journal, simplify the following expression

Simplify the Expression

[(4 +12 [(4 +12 ÷ ÷ 4) – 2]4) – 2]

PPEEMDMDASAS

[(4 + 3) – 2]

[7 – 2]

125

³³

³³

³³5 ³³

Page 14: Do Now 9/9/11 Copy HW in your planner. Copy HW in your planner. Text p. 9 & 10, #8-32 evens, #43-45 all In your journal, simplify the following expression

What Did We Learn Today?

Numerical expression

POWER

EXPONENTEXPONENT

BASEBASE PPEEMDMDASAS

Order of OperationsOrder of Operations

Page 15: Do Now 9/9/11 Copy HW in your planner. Copy HW in your planner. Text p. 9 & 10, #8-32 evens, #43-45 all In your journal, simplify the following expression

Text p. 9 & 10, #8-32 evens, #43-45 allText p. 9 & 10, #8-32 evens, #43-45 all

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