3. PowerPoint Lesson Video Samples Practice Questions Project Flow Charts Activity Web Links Email Mrs. Keeler ©2002 Alice Keeler

4. Definition of a quadratic function Plotting Quadratics Example #2 plotting quadratics Example #3 A is negative Practice problems Vertex Axis of Symmetry Examples Axis of Symmetry Using the axis of symmetry ©2002 Alice Keeler

5. Knowledge Comprehension Application Synthesis Analysis Evaluation ©2002 Alice Keeler

6. Whenever you simplify you must use order of operations. Order of Operations is a 4 step process!

7. 1. Parenthesis 2. Exponents 3.Multiply or Divide 4. Add or Subtract

9. Simplify: 3(3 + 7) 2  5 P E M/D A/S 3(3 + 7) 2  5 Start with parenthesis, do what is inside of the parenthesis first. 3(10) 2  5 P E M/D A/S Next calculate any exponents. 3(10) 2  5 3(100)  5 P E M/D A/S 3(100)  5 First come first serve, multiply or divide 300  5 P E M/D A/S 300  5 Still more multiplying or dividing 60

10. Simplify: 27  3(5 – 3) 2 P E M/D A/S 27  3(5 – 3) 2 Start with parenthesis, do what is inside of the parenthesis first. 27  3(2) 2 P E M/D A/S Next calculate any exponents. 27  3(2) 2 27  3(4) P E M/D A/S 27  3(4) First come first serve, multiply or divide 9(4) P E M/D A/S 9(4) Still more multiplying or dividing 36

11. 36  3  (6 – 4) 2 – 4 36  3  (2) 2 – 4 36  3  (4) – 4 12  (4) – 4 48 – 4

12. 5  3 2 – 6 + 2[14 – 3(2)] Note that [ ] brackets are parenthesis, they are useful when you need parenthesis around parenthesis. You can use [ ] or ( ) as is convenient. With parenthesis (brackets) you need to start order of operations all over again! P E M/D A/S 5  3 2 – 6 + 2[14 – 3(2)]

13. P E M/D A/S Inside of the brackets there is not parenthesis or exponents so go straight to the multiply or divide 5  3 2 – 6 + 2[14 – 3(2)] 5  3 2 – 6 + 2[14 – 6] 5  3 2 – 6 + 2[8] 5  3 2 – 6 + 2(8) If you prefer parenthesis to brackets, you can trade them.

14. 5  3 2 – 6 + 2(8) Now that you are done with the parenthesis, move onto exponents 5  3 2 – 6 + 2(8) 5  9 – 6 + 2(8)

15. 45 – 6 + 2(8) 45 – 6 + 16 39 + 16

16. NOTE: When you encounter a fraction there are INVISIBLE parenthesis around the numerator and the denominator!!! Invisible parenthesis!

17. In order of operations P E M/D A/S first do what is inside of the parenthesis. What this means in this problem is first simplify the numerator, then simplify the denominator now simplify the denominator

18. REMEMBER: Fractions are division! Now that you have taken care of the parenthesis P E M/D A/S move onto exponents!

19. REMEMBER: Fractions are division! To divide six eighths you will simply reduce! You will need a common denominator to add three fourths to 36

22. 115 – 10  2  (3 2 + 1) = 65 g

23. 8[6 2 – 3(2+5)]  8 + 3= 18 g

24. 5 + (4  8) 37 g

25. (40  4) – (9 – 5) 6 g

26. 32  8 + 3  7 – 6 19 g

27. (5 + 2) 2  3 – 4 + 5  2 153 g

28. (8 – 3)(12  4) – 5 10 g

29. 3(2 3 + 4 2 ) 72 g

30. (6 + 8)(8 – 3)  (9 + 3 – 2) 2 0.7 g

31. 39 g

32. 6(0.2 + 0.3) – 0.25 2.75 g

33. 0 g

34. 31

35. 2 g

36. 3(3 + 7) 2  5 60 g

37. 7  5 – 3  4 23 g

38. 27  3(5 – 3) 2 36 g

39. 5 3 – 8  5 + 6 91 g

40. (5 + 3)  2 + 2 6 g

41. 6  (12 – 7.5) – 7 20 g

42. (3 + 6)  3 2 1 g

43. 125  [5(2 + 3)] 5 g

45. Common mistake: Order of Operations is a 4 step process, often people mistake it for a 6 step process. Multiply and Divide are considered EQUAL! This means first come first serve (left to right). Addition and Subtraction are considered EQUAL! This means first come first serve (left to right).

53. You are going to be given a problem. Person 1 starts with the problem and does anything that is inside of parenthesis Person 2 does any exponents Person 3 does any Multiplication or Division as is comes left to right Person 4 does any addition or subtraction as it comes left to right

54. When person 4 has the answer stand up.

55. First: Parenthesis Second: Exponents Third: Multiply and Divide left to right Fourth: Add and Subtract left to right (STAND UP)

56. 115 – 10  2  (3 2 + 1) = 65 g

57. 8[6 2 – 3(2+5)]  8 + 3= 18 g

58. 5 + (4  8) 37 g

59. (40  4) – (9 – 5) 6 g

60. 32  8 + 3  7 – 6 19 g

61. (5 + 2) 2  3 – 4 + 5  2 153 g

62. (8 – 3)(12  4) – 5 10 g

63. 3(2 3 + 4 2 ) 72 g

64. (6 + 8)(8 – 3)  (9 + 3 – 2) 2 0.7 g

65. 39 g

66. 6(0.2 + 0.3) – 0.25 2.75 g

67. 0 g

68. 39

69. 2 g

70. 3(3 + 7) 2  5 60 g

71. 7  5 – 3  4 23 g

72. 27  3(5 – 3) 2 96 g

73. 5 3 – 8  5 + 6 91 g

74. (5 + 3)  2 + 2 6 g

75. 6  (12 – 7.5) – 7 20 g

76. (3 + 6)  3 2 1 g

77. 125  [5(2 + 3)] 5 g

79. In order of operations there are 4 steps!!! Please Excuse My Dear Aunt Sally Common Mistake: NOT six steps only FOUR

80. 5 + (2 + 4) 2  4 3 5 + (6) 2  4 3 5 + 36  4 3 5 + 9 3 5 + 27 32

81. 7 – 2 + 6  2  3 7 – 2 + 3  3 7 – 2 + 9 5 + 9 14

82. s + 3 s Find the perimeter 26

83. s + 3 s Find the area 40

84. When you substitute a variable for a number use PARENTHESIS x = 2 and y = 3

85. When you substitute a variable for a number use PARENTHESIS x = 3 and y = 2