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. Writing Expressions with Multiplication and Division

8. Got it?

11. Writing an Expression with Two Operations

12. Got it?

16. Writing a Rule to Describe a Pattern

18. Got it?

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

21. Homework Pages 7-8 9-25 odd 39, 41, 43

22. Exponents

23. 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….

24. Simplifying Powers

25. Got it?

29. Order of Operations

30. Please Excuse My Dear Aunt Sally

31. Order of Operations Parenthesis Exponents Multiplication Division Addition Subtraction

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

33. 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.

34. 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.

35. 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.

36. 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?

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. Let’s 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.

39. 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

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

52. Simplifying a Square Root

53. Perfect Squares

55. Got it?

58. Real Number System

59. Graphing and Ordering Real Numbers

60. Homework Page 20 9-17 odd 45, 47, 49