1. Variables and Expressions Order of Operations Real Numbers and the Number Line Objective: To solve problems by using the order of operations.

2. 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. Got it? What is an algebraic expression for 22 less than a number n?

8. Got it? What is an algebraic expression for 22 less than a number n? n – 22

9. Got it? What is an algebraic expression for 22 less than a number n? n – 22 What is an algebraic expression for 30 less a number n?

10. Got it? What is an algebraic expression for 22 less than a number n? n – 22 What is an algebraic expression for 30 less a number n? 30 – n

11. Writing Expressions with Multiplication and Division

12. Got it?

15. Writing an Expression with Two Operations

16. Got it?

20. Writing a Rule to Describe a Pattern

22. Got it?

24. Class Work Top of Page 7 (lesson check) 1, 2, 7, 8

25. Homework Pages 7-8 9-45 odd

26. Exponents

27. 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….

28. Simplifying Powers

29. Got it?

33. Order of Operations

34. Please Excuse My Dear Aunt Sally

35. Order of Operations Parenthesis Exponents Multiplication Division Addition Subtraction

36. Order of Operations Parenthesis- Always simplify everything inside of any grouping symbol before doing anything else.

37. 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.

38. 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.

39. 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.

40. 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. Let’s look at the following. What do you think the answer is?

41. 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. Let’s look at the following. What do you think the answer is? Wrong! Right!

42. 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.

43. Order of Operations

44. Got it? Solve the following:

45. Got it? Solve the following:

46. Got it? Solve the following:

47. Got it? Solve the following:

48. Evaluating Algebraic Expressions Using Substitution

50. Got it? Solve the following if a = 3 and b = 4.

51. Got it? Solve the following if a = 3 and b = 4.

52. Got it? Solve the following if a = 3 and b = 4.

53. Class Work Top of page 13 (lesson check) 1-8 all

54. Homework Page 13 9-33 odd 37, 39, 41 45, 47, 49

55. Square Roots

56. Simplifying a Square Root

57. Perfect Squares

59. Got it?

62. Cube Roots When looking at square roots, we ask what number times itself gives the desired value. A cube root asks what number times itself 3 times gives the desired value. For example:

63. Real Number System

65. Example 3 Classify each number. a)15 b)-1.4583 c)

66. Example 3 Classify each number. a)15 Natural, Whole, Integer, Rational b)-1.4583 c)

67. Example 3 Classify each number. a)15 Natural, Whole, Integer, Rational b)-1.4583 Rational c)

68. Example 3 Classify each number. a)15 Natural, Whole, Integer, Rational b)-1.4583 Rational c) Irrational

69. Graphing and Ordering Real Numbers

70. Homework Page 20 9-35 odd 45, 47, 49