Variables and Expressions Order of Operations Real Numbers and the Number Line

1
Variables and ExpressionsOrder of
OperationsReal Numbers and the Number Line

• Objective To solve problems by using the order
  of operations.

2
Variables
3
Variables
4
Problem 1
5
Got it?

• What is an algebraic expression for 18 more than
  a number n?

6
Got it?

• What is an algebraic expression for 18 more than
  a number n?
• n 18

7
Writing Expressions with Multiplication and
Division
8
Got it?
9
Got it?
10
Got it?
11
Writing an Expression with Two Operations
12
Got it?
13
Got it?
14
Got it?
15
Got it?
16
Writing a Rule to Describe a Pattern
17
Writing a Rule to Describe a Pattern
18
Got it?
19
Got it?
20
Class Work

• Top of Page 7 (lesson check)
• 1, 2, 7, 8

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Homework

• Pages 7-8
• 9-25 odd
• 39, 41, 43

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Exponents
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Exponents

• An exponential is expressed in the following
• is read 5 to the second power or 5
  squared.
• is read 5 to the third power or 5 cubed.
• is read 5 to the fourth power.
• is read 5 to the fifth power.
• Etc.

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Simplifying Powers
25
Got it?
26
Got it?
27
Got it?
28
Got it?
29
Order of Operations
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Order of Operations

• Please
• Excuse
• My
• Dear
• Aunt
• Sally

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Order of Operations

• Parenthesis
• Exponents
• Multiplication
• Division
• Addition
• Subtraction

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Order of Operations

• Parenthesis- Always simplify everything inside of
  any grouping symbol before doing anything else.

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Order of Operations

• Parenthesis- Always simplify everything inside of
  any grouping symbol before doing anything else.
• Exponents- After simplifying everything in the
  grouping symbol, you then apply the exponent.

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Order of Operations

• Parenthesis- Always simplify everything inside of
  any grouping symbol before doing anything else.
• Exponents- After simplifying everything in the
  grouping symbol, you then apply the exponent.

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Order of Operations

• Multiplication
• Division.
• These operations are equal. You do not always
  multiply before you divide. These operations are
  done from left to right.

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Order of Operations

• Multiplication
• Division.
• These operations are equal. You do not always
  multiply before you divide. These operations are
  done from left to right.
• Lets look at the following. What do you think
  the answer is?

37
Order of Operations

• Multiplication
• Division.
• These operations are equal. You do not always
  multiply before you divide. These operations are
  done from left to right.
• Lets look at the following. What do you think
  the answer is?
• Wrong!
• Right!

38
Order of Operations

• Addition.
• Subtraction.
• These operations are equal. You do not always
  add before you subtract. These operations are
  done from left to right.

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Order of Operations
40
Got it?

• Solve the following

41
Got it?

• Solve the following

42
Got it?

• Solve the following

43
Got it?

• Solve the following

44
Evaluating Algebraic Expressions Using
Substitution
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Evaluating Algebraic Expressions Using
Substitution
46
Got it?

• Solve the following if a 3 and b 4.

47
Got it?

• Solve the following if a 3 and b 4.

48
Got it?

• Solve the following if a 3 and b 4.

49
Class Work

• Top of page 13 (lesson check)
• 1-7 all

50
Homework

• Page 13
• 9-33 odd
• 37, 39, 41
• 45, 47, 49

51
Square Roots
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Simplifying a Square Root
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Perfect Squares
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Perfect Squares
55
Got it?
56
Got it?
57
Got it?
58
Real Number System
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Graphing and Ordering Real Numbers
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Homework

• Page 20
• 9-17 odd
• 45, 47, 49