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GEOMETRY: CONTENT and PROCESS Good ideas in teaching Precalculus and…. Rutgers March 18, 2011.

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Presentation on theme: "GEOMETRY: CONTENT and PROCESS Good ideas in teaching Precalculus and…. Rutgers March 18, 2011."— Presentation transcript:

1 GEOMETRY: CONTENT and PROCESS Good ideas in teaching Precalculus and…. Rutgers March 18, 2011

2 SAT UPDATE

3 Colleges use the SAT as a way to check against unequal opportunities, variable standards and grade inflation. Some colleges use SAT scores for placement and scholarship opportunities. SAT scores are only one among many factors that colleges use to make admission decisions. How Do Colleges Use the SAT ® ? * Along with high school grades, the SAT is the best predictor of college success. The SAT ® provides a valid, nationally consistent measure of what students have learned and how well they apply that knowledge.* 3

4 Correlations * of Predictors with First-Year College Grade Point Average *All correlations have been corrected for restriction of range. Sample size: 159,286 students at 110 colleges and universities in entering class of 2007.

5 Correlations * of Predictors with Second-Year Cumulative College Grade Point Average *All correlations have been corrected for restriction in range. Sample size: 80,958 students at 66 colleges and universities. Results are based on institutions in the 2006 cohort that provided second-year data.

6 Another Way to Look at Correlation of.56 % Earning B or higher SAT Scores: Math + Critical Reading + Writing

7 Grades Are Increasing * 199019952000200520092010 Art and Music 3.613.683.743.753.763.75 English 3.083.193.263.303.373.39 Foreign/Classical Languages 3.063.153.223.263.313.33 Mathematics 2.913.013.073.113.143.16 Natural Sciences 3.003.123.203.233.253.27 Social Sciences/History 3.153.263.343.363.393.40 Grade Average for All Subjects 3.093.203.283.303.323.34 Percentage of Students With GPA of A-, A or A+ Is Increasing 199019952000200520092010 A+, A, A- 29%34%40%41%43%44% B+, B, B- 53%50%47% 46%45% C+, C, C- 18%15%12%11% 10% High School Grades Shifting Over Time *Based on four-point system, where A=100 Note: 1990 GPAs reflect all Student Data Questionnaire responders, not just SAT ® takers. GPAs for 1995-2010 reflect SAT ® takers only.

8 As SAT scores increase, so does the likelihood of a student returning for the second and third year of college. SAT Scores Identify Students Who Will Return

9 SAT takers in the class of 2010 : – 42% were minority students – 25% reported that English was not exclusively spoken at home – 45% intend to be first- generation, college-bound students The SAT is administered by over 6,000 test centers in more than 170 countries! Who Took the SAT ® This Year? 9 The 2010 cohort was the most diverse group ever!

10 SAT Performance by Core Curriculum Participation ReadingMathWriting Core Curriculum518531509 Non-Core Curriculum467481459 Difference+51+50 Core curriculum is defined by at least four years of English, and at least three years of mathematics, three years of natural science, and three years of social science and history. Reflects SAT takers in the class of 2010 who took the SAT through March 2010.

11 SAT Performance by AP or Honors English or AP or Honors Math Participation +59 points +58 points +77 points Reflects SAT takers in the class of 2010 who took the SAT through March 2010.

12 Mathematics Study by SAT-takers 20102005200019951990 Four or More Years of Study 76%74%69%68%65% AP or Honors 36%30%28% 23% Courses Calculus 28%*27%24%22%19% Pre-calculus 28%*48%44%37%31% Trigonometry 12%*46%50%54%55% * Highest Level of Mathematics Achieved

13 Number/Percent of SAT-takers Intending to Major in Mathematics YEARPERCENTNUMBER 19752%12,835 19801%10,300 19851%10,105 19901%6,659 19951%5,436 20001%6,150 20051%9,935 20101%14,001

14 NEW -- Student Web Experience

15 The new practice feature Answers Imagined utilizes rich visuals and animations to demonstrate how a student might arrive at the answers to SAT practice questions. (sat.collegeboard.com/practice/answers-imagined)sat.collegeboard.com/practice/answers-imagined

16 NEW -- Student Web Experience

17 Innovative Features, Including Test Day Simulator 17

18 You have told us that SAT ® rosters would make your lives easier … Online rosters will pilot this school year! Rosters include: – Test Date and Type – Students’ First and Last Names – Students’ Grade Level – Assigned Test Center – Fee-Waiver Status – Absentee Status – And More SAT ® Registration Rosters 18 If you would like to participate in the pilot, please contact us: counselorfeedback@collegeboard.org.

19 Why Should Your School Become an SAT Test Center? Benefits … – Inspires students to connect to college success and beyond – Fosters a college- going culture – Offers value- added support for students, parents and the community – Honorarium for SAT Test Center staff — test center supervisor, room supervisors and proctors – Reimbursement for some of your school’s test-related expenses – More staff included in the college planning process – Test in familiar surrounding – Accessible and easy to reach – Expanded opportunities to connect to the college that is right for them Become an SAT ® Test Center! … for your students… for your school… for your staff 19

20 It’s easy to become an SAT test center … The two most important requirements for a test center are proper facilities and a professional who is qualified and willing to serve as the test center supervisor. The SAT Program will provide all the necessary training, testing material and support needed to administer the SAT. Become an SAT ® Test Center! 20 For more information regarding SAT Test Center capabilities or support in completing your application process, please contact us: counselorfeedback@collegeboard.org.

21 GEOMETRY: CONTENT and PROCESS

22 SAT Mathematics Content Areas Number and Operations (20–25%) Algebra and Functions (35–40%) Geometry and Measurement (25–30%) Data Analysis, Statistics, and Probability (10–15%)

23 Multiple Choice Key = E

24 Student-Produced Response Key = 9.8, 49/5

25 SPR Answer Grid

26 ● Polygons ● Circles ● Volume of boxes, cubes, and cylinders ● Isosceles, equilateral, and right triangles ● Parallel and perpendicular lines ● Coordinate geometry ● Geometric visualization ● Slope ● Similarity ● Transformations Geometric Content on the SAT

27 ● Problem Solving ● Representation ● Reasoning ● Connections ● Communication NCTM Process Standards

28 Problem Solving Parallel and perpendicular lines

29 Problem Solving Circles

30 Problem Solving Similarity

31 Problem Solving Volume

32 Problem Solving Volume

33 Representation Equilateral triangles and circles

34 Representation Coordinate geometry

35 Representation Geometric visualization

36 Representation Similarity

37 Representation Transformations

38 Representation Geometric visualization

39 Reasoning Parallel and perpendicular lines

40 Reasoning Geometric visualization

41 Reasoning Isosceles triangles

42 Reasoning Triangles

43 Reasoning Parallel and perpendicular lines

44 Connections Volume

45 Connections Polygons and triangles

46 Connections Polygons

47 Connections Triangles

48 Connections Coordinate geometry and Slope

49 Communication Polygons

50 Communication Rectangular solids

51 Communication Coordinate geometry

52 Communication Circles


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