Mr. Bill Lombard's approach

1. [email_address] http://mrlsmath.com www.tttpress.com “ Building mathematical skill on a foundation of understanding” STAR Testing: Prepare Stress-Free Students and Teachers Easily A tool to help meet the California Mathematics Standards presentation by Bill Lombard some graphics from http://en.wikipedia.org/http://commons.wikimedia.org California STAR Test

2. I view the STAR test as an opportunity, not a burden , since it allows schools and teachers to focus on the curriculum contained within the test. [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

3. When I present content in class, the focus is on concepts first , then problem-solving and algorithms. When students can see the big picture, they have the opportunity to grasp concepts that lead to future success in subsequent coursework. [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

4. If they only learn how to “ push symbols around a page ”, or imitate the instructor without real understanding, the scope of their mathematics is somewhat limited. [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

5. Seven Keys to Success 1. Start early 2. Set a clear target 3. Be consistent 4. Make STAR prep part of daily routine 5. Add variety to your preparation 6. Get students to the point of automaticity 7. Confidence in a job well done [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

6. Here’s an example of using the STAR 5th Grade materials – see question 38, which says: If N = 4, what is the value of 6 x N – 3 ? [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

7. When students are shown only how to solve this specific problem, they are not as flexible as when shown how to solve the entire class of similar problems . If they are shown only one way to relate to this problem, their problem-solving abilities are not as strong or versatile as if they can see this problem in Multiple Representations . [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

8. 1. Let’s set this up in a t-table format. Since 6 x N – 3 is an algebra expression that varies according to the value of N, looking at a series of values brings this problem into clearer focus. Our number sense gains strength this way. [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

9. 2. Let’s use language, the operating system of our brains : The pattern in the t-table can be expressed as, “Starting with – 3, add 6 each time.” [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

10. 3. Let’s graph it. We can see the rate of change as the slope. We can see the starting point as the y-intercept. Most importantly, we have a picture. [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

11. When we are all done with this problem, our students have tools to work with for future problems , not just an answer to a single STAR question. It’s important to view a problem within the larger context , not in isolation. [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

12. Here’s an example of using the STAR 5th Grade materials – see question 38, which says: If N = 4, what is the value of 6 x N – 3 ? [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

13. Here’s an example of using the STAR 5th Grade materials – see question 38, which says: If N = 4, what is the value of 6 x N – 3 ? [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

14. Seven Keys to Success 1. Start early First week of school is a great time to begin [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

15. Seven Keys to Success 1. Start early First week of school is a great time to begin Good teachers set the classroom climate in the first few days of school [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

16. Seven Keys to Success 1. Start early First week of school is a great time to begin Good teachers set the classroom climate in the first few days of school Begin STAR prep with the simplest questions to build the "Can Do" attitude [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

17. Seven Keys to Success 1. Start early First week of school is a great time to begin Good teachers set the classroom climate in the first few days of school Begin STAR prep with the simplest questions to build the "Can Do" attitude You can even begin with questions from a lower grade level [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

18. Seven Keys to Success 1. Start early 2. Set a clear target [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

19. Seven Keys to Success 2. Set a clear target Let students know where to aim [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

20. Seven Keys to Success 2. Set a clear target Let students know where to aim Let students know your expectations [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

21. Seven Keys to Success 2. Set a clear target Let students know where to aim Let students know your expectations Coaches look at game films of opponents [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

22. Seven Keys to Success 2. Set a clear target Let students know where to aim Let students know your expectations Coaches look at game films of opponents Share a multitude of potential questions [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

23. Seven Keys to Success 1. Start early 2. Set a clear target 3. Be consistent [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

24. Seven Keys to Success 3. Be consistent Master the fundamentals A, B, C, . . . John Wooden, famous UCLA basketball coach, used to begin each season with showing his players how to properly tie their shoelaces. [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

25. Seven Keys to Success 3. Be consistent Master the fundamentals Students thrive on daily routine Shawn Johnson competes ––> [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

26. Seven Keys to Success 3. Be consistent Master the fundamentals Students thrive on daily routine Toolkit of skills Four forms of a straight line: slope-intercept, point-slope, standard, intercept [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

27. Seven Keys to Success 3. Be consistent Master the fundamentals Students thrive on daily routine Toolkit of skills Four forms of a straight line Six ways to write direction of a line: m, slope, rate of change, rise/run,  y/  x, (y 2 -y 2 )/ (x 2 -x 1 ) [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

28. Seven Keys to Success 3. Be consistent Master the fundamentals Students thrive on daily routine Toolkit of skills Four forms of a straight line Six ways to write direction of a line Properties of geometric figures [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

29. Seven Keys to Success 1. Start early 2. Set a clear target 3. Be consistent 4. Make STAR prep part of daily routine [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

30. Seven Keys to Success 4. Make STAR prep part of daily routine Warmup [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

31. Seven Keys to Success 4. Make STAR prep part of daily routine Warmup Homework questions [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

32. Seven Keys to Success 4. Make STAR prep part of daily routine Warmup Homework questions Quizzes/tests [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

33. Seven Keys to Success 4. Make STAR prep part of daily routine Warmup Homework questions Quizzes/tests Confidence through skill growth over time [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

34. SnagIt process of cutting/pasting to make new materials [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

35. Seven Keys to Success 1. Start early 2. Set a clear target 3. Be consistent 4. Make STAR prep part of daily routine 5. Add variety to your preparation [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

36. Seven Keys to Success 5. Add variety to your preparation Build a library of prep materials [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

37. Seven Keys to Success 5. Add variety to your preparation Build a library of prep materials 2x + 3 = 11 3x + 4 = 25 [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

38. Seven Keys to Success 5. Add variety to your preparation Build a library of prep materials 2x + 3 = 11 3x + 4 = 25 Ax + B = C [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

39. Seven Keys to Success 5. Add variety to your preparation Build a library of prep materials Ax + B = C [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

40. Seven Keys to Success 5. Add variety to your preparation Build a library of prep materials Ax + B = C PROGRAM: LINEAR : Prompt A : Prompt B : Prompt C : (C – B) ÷ A –>A : Display A [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

41. Seven Keys to Success 5. Add variety to your preparation Build a library of prep materials Modify questions Randy has $100 and saves $20 per week. In how many weeks will he have $300 ? [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

42. Seven Keys to Success 5. Add variety to your preparation Build a library of prep materials Modify questions Randy has $100 and saves $20 per week. In how many weeks will he have $300 ? Randy has $ __ and saves $ __ per week. In how many weeks will he have $ ___ ? Use templates [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

43. Seven Keys to Success 5. Add variety to your preparation Build a library of prep materials Modify questions Incorporate language [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

44. Seven Keys to Success EZ-Write Ideas What is the key step in this process? What would you tell a classmate who was absent? Best done after lesson/activity and a few problems [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

45. Seven Keys to Success 5. Add variety to your preparation Build a library of prep materials Modify questions Incorporate language Backward/Forward Mapping [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

46. Grade 4 sample test question [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

47. Grade 4 sample test question [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

48. Grade 4 sample test question [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

49. 5th grade STAR test sample [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

50. Grade 6 sample test question [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

51. Grade 7 sample test question [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

52. Grade 7 sample test question [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

53. Algebra 1 sample test question [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

54. Geometry sample test question [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

55. Algebra 2 sample test question [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

56. Seven Keys to Success 5. Add variety to your preparation Build a library of prep materials Modify questions Incorporate language Backward/Forward Mapping Print and Cut up Tremendous staff development activity ! [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

57. Seven Keys to Success [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test Group Project

58. Seven Keys to Success 1. Start early 2. Set a clear target 3. Be consistent 4. Make STAR prep part of daily routine 5. Add variety to your preparation 6. Get students to the point of automaticity [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

59. Seven Keys to Success 6. Get students to the point of automaticity Math facts and concepts 3(x + 5) = 3x + 15 L W [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

60. Seven Keys to Success 6. Get students to the point of automaticity Math facts and concepts Building blocks [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

61. Seven Keys to Success 6. Get students to the point of automaticity Math facts and concepts Building blocks a 2 + b 2 = c 2 What does this really mean? [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

62. Seven Keys to Success 6. Get students to the point of automaticity Math facts and concepts Building blocks a 2 + b 2 = c 2 but only in a right triangle ! [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

63. a 2 + b 2 = c 2 Classic Greek demonstration [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

64. a 2 + b 2 = c 2 Algebraic proof [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

65. a 2 + b 2 = c 2 Even President Garfield can do it ! [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

66. Seven Keys to Success 6. Get students to the point of automaticity Math facts and concepts Building blocks State the Quadratic Formula: [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

67. Seven Keys to Success 6. Get students to the point of automaticity Math facts and concepts Building blocks If ax 2 + bx + c = 0, [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

68. Seven Keys to Success 6. Get students to the point of automaticity Math facts and concepts Building blocks If ax 2 + bx + c = 0, then [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

69. Seven Keys to Success 6. Get students to the point of automaticity Math facts and concepts Building blocks Proof of the Quadratic Formula “ A real mathematical mountain to climb” [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

70. Proof of the Quadratic Formula Takes 9 – 15 steps Takes several days of constant teacher attention Takes modeling in class at least eight times Covers & reinforces many important concepts Gives students a real feeling of accomplishment [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

71. [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

72. Seven Keys to Success 6. Get students to the point of automaticity Math facts and concepts Building blocks Game type format [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

73. Game type format Four In a Row – from Simply Great Math Games , Teacher to Teacher Press [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

74. Game type format Traditional Bingo – from Simply Great Math Games , Teacher to Teacher Press [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

75. Game type format Universal Math Book Bingo – from Simply Great Math Games , Teacher to Teacher Press [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

76. Game type format The Tax Collector – from Simply Great Math Games , Teacher to Teacher Press [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

77. Game type format Streets and Alleys – from Simply Great Math Games , Teacher to Teacher Press [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

78. Seven Keys to Success 6. Get students to the point of automaticity Math facts and concepts Building blocks Game type format Revisit/Reteach/Review [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

79. Seven Keys to Success Revisit/Reteach/Review How do you get to Carnegie Hall? [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

80. Seven Keys to Success Revisit/Reteach/Review How do you get to Carnegie Hall? Practice, practice, practice . . . [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

82. Seven Keys to Success 1. Start early 2. Set a clear target 3. Be consistent 4. Make STAR prep part of daily routine 5. Add variety to your preparation 6. Get students to the point of automaticity 7. Confidence in a job well done [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

83. Seven Keys to Success 7. Confidence in a job well done Refine your preparation process Think, think, . . . Plan, plan, . . . Create, create, . . . [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

84. Seven Keys to Success 7. Confidence in a job well done Refine your preparation process Confidence is contagious and builds excitement [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

85. Seven Keys to Success 7. Confidence in a job well done Refine your preparation process Confidence is contagious and builds excitement [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test

86. Teaching: the hardest job you’ll ever love [email_address] http://mrlsmath.com www.tttpress.com California STAR Test California STAR Test