1. Agenda What’s new in math? How are we doing in math? What now? How do we get there? Process Goals Resources to Support Math at Home Questions and Wrap-up Advisory Council Meeting Mathematics Update

2. Prince William County Schools Mathematics Vision Statement The Prince William County Schools’ mathematics program promotes an environment in which students develop a comprehensive and enduring understanding of the concepts of mathematics. Students learn to effectively apply these concepts and use a variety of problem solving strategies. The program nurtures a productive disposition toward mathematics, challenges all learners, and supports further investigations in this field.

3. Higher Expectations “It [lower SOL scores] means, “Virginia is expecting more of students—not that students are learning less,” Dr. Patricia Wright, Superintendent of Public Instruction

4. Changes Three years ago….. Virginia adopted new, more rigorous mathematics curriculum standards.

5. Changes Two years ago….. the “crosswalk” year Teacher Focus Groups worked on new curriculum documents, including pacing guide, planning calendars, and unit guides with supplemental lessons and end-of-unit common formative assessments. Teachers began teaching the new curriculum along with the old.

6. Changes Last year ….. We taught only the new curriculum. We learned more about content and how to teach it. We adopted new textbooks. We field-tested new Technology Enhanced items on the new elementary SOL Tests. We gave the SOL test on only the new curriculum.

7. SOL Test Results – Passing Rates Test 2010-11 PWCS Pass Rate 2011-12 PWCS Pass Rate 2011-12 State Pass Rate Compare to State Grade 3936764+3 Grade 4907570+5 Grade 5907267+5 Grade 6737774+3 Grade 7735258- 6 Grade 8897660+16 Algebra I947275- 3 Geometry857274- 2 Algebra 2916769- 2

9. The PWCS Blended Approach to Teaching Mathematics is not changing What is changing and what is not? “To prepare students for Algebra, the curriculum must simultaneously develop conceptual understanding, computational fluency, and problem solving skills. Debates regarding the relative importance of these aspects of mathematical knowledge are misguided. These capabilities are mutually supportive, each facilitating learning of the others.” (National Mathematics Advisory Panel, 2008)

10. Content Standards n Number and Number Sense n Computation and Estimation n Geometry and Measurement n Statistics and Probability n Patterns, Functions, and Algebra Process Standards n Problem Solving n Reasoning and Proof n Communication n Connections n Representation The Virginia Standards of Learning “A major goal of the mathematics program is to help students become competent mathematical problem solvers.” VDOE, 2009

11. The 2009 Mathematics Standards  new content has been added,  rigor has been increased significantly,  repetition has been decreased,  retention and application of content from previous years is required, and  vertical alignment has been improved.

12. New Math SOL Blueprints Effective Spring 2012 Reporting CategoryGrade 3 (only) Grade 4Grade 5 Number and Number Sense 10127 Computation and Estimation 1013 Measurement and Geometry 111312 Probability and Statistics, Patterns, Functions, and Algebra 91218 Total Number of Questions 4050

13. Increased Rigor Most of the new content comes from higher grade levels More word problems – Multi-step problems added More models – especially number lines Assessment is not all multiple choice – New technology enhanced items

14. New Content 3.9 – area and perimeter 3.11b – elapsed time 3.16 – identify “non-congruent” figures 3.20b – identity and commutative property 4.2c – identify a division statement represented by a fraction 4.5a – least common multiple (LCM) and greatest common factor (GCF) 4.9 – elapsed time 4.12a,b – define polygon, name all polygons with 10 or fewer sides 4.16b – associative property 5.3a – describe prime and composite numbers 5.3b – describe even and odd numbers 5.7 – order of operations 5.14 – classifying triangles 5.16b – describe mean as fair share 5.16d – describe range as a measure of variation 5.18c – model one-step linear equations 5.19 – distributive property

15. 4.5A Determine common multiples and factors, including least common multiple and greatest common factor. Comes from SOL 6.3

16. 3.10B Count the number of square units needed to cover a given surface in order to determine area. New Old

17. 4.9 Determine elapsed time in hours and minutes within a 12-hour period. New

18. 5.18C Model one-step linear equations in one variable, using addition and subtraction. Old From 6 th grade SOL test New From 6 th grade

19. Word Problems Multi-step

20. New Old 4.4D Solve single-step and multistep addition, subtraction, and multiplication problems with whole numbers.

21. Old New 5.4 Create and solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division with and without remainders of whole numbers.

22. Models Number Lines Fraction and Decimal Models Pictorial Representations of concepts

23. 3.6 Represent multiplication and division, using area, set, and number line models, and create and solve problems that involve multiplication of two whole numbers, one factor 99 or less and the second factor 5 or less. New Old

24. 4.13B Represent probability as a number between 0 and 1, inclusive. New Old

25. 4.3D Given a model, write the decimal and fraction equivalents. New

26. NEW Technology Enhanced Items Field Tested Elementary – 2012 http://www.doe.virginia.gov/testing/sol/practice_it ems/index.shtml#math http://www.doe.virginia.gov/testing/sol/practice_it ems/index.shtml#math Short Response – student types answer Drag and Drop – student selects from answer options and drags to correct location Hot Spot – students selects all answers that are correct Graphs – students are required to create or complete some type of graph.

27. Hot Spot – Grade 3

28. Hot Spot – Grade 4 Multiple Correct Answers

29. Hot Spot – Grade 5 Multiple Correct Answers

30. Grade 3 – Drag and Drop

31. Grade 4 – Drag and Drop

32. Grade 5 – Drag and Drop

34. Grade 3 – Short Answer

35. Grade 4 – Short Answer

37. Grade 5 – Short Answer

38. Grade 3 – Graphing

39. Grade 4 – Graphing http://www.doe.virginia.gov/testing/sol/practice_items/index.shtml#math http://www.doe.virginia.gov/testing/sol/practice_items/index.shtml#math

40. Success in mathematics … is about understanding and being able to apply mathematics in familiar and new situations. It is about believing that, with perseverance and work, you can figure it out!

41. New Materials http://connected.mcgraw-hill.com Student Logins (access student book online)

42. PWCS Mathematics Web Site http://pwcs.math.schoolfusion.us

43. High Expectations! Reflect a positive attitude about math. Expect that your child CAN do math. Don’t say, “I was never good at math….” Talk about math every day. Support math for understanding – short cuts will leave kids short on this test - - ASK questions such as, “How did you get that answer?” “Can you prove it?” “Why did it work?” Use practical application for math problems as often as possible, e.g. cooking, building, shopping, sewing, etc. HAVE FUN with math! Play math games to review and reinforce concepts and skills. Suggestions for Success

44. Want to Learn More? Go to…. http://sqworl.com/872mps

45. Questions

46. Hot Spot – Grade 4 Multiple Correct Answers

47. Grade 3 – Drag and Drop

48. Grade 3 – Short Answer

49. Grade 5 – Short Answer

50. A PWCS Mathematics Classroom... Promotes hands-on instruction and allows students to be actively engaged in doing mathematics.

51. Builds knowledge of basic number facts through games, activities, and cards. A PWCS Mathematics Classroom...

52. Develops oral and written communication skills and encourages students to justify and explain their solutions. A PWCS Mathematics Classroom...

53. Focuses on problem solving and critical thinking and helps students make sense of mathematics. A PWCS Mathematics Classroom...

54. Gives students confidence in their ability to do and understand mathematics. A PWCS Mathematics Classroom...

55. Engages students and makes learning fun! A PWCS Mathematics Classroom...