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GEOMETRY: CONTENT and
PROCESS
Good ideas in teaching Precalculus and….
Rutgers
March 18, 2011
SAT UPDATE
• 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.*
The SAT® provides a valid, nationally consistent measure
of what students have learned and how well they apply that knowledge.*
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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.
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.
Another Way to Look at Correlation of .56
SAT Scores: Math + Critical Reading + Writing
Grades Are Increasing*
1990 1995 2000 2005 2009 2010
Art and Music 3.61 3.68 3.74 3.75 3.76 3.75
English 3.08 3.19 3.26 3.30 3.37 3.39
Foreign/Classical Languages 3.06 3.15 3.22 3.26 3.31 3.33
Mathematics 2.91 3.01 3.07 3.11 3.14 3.16
Natural Sciences 3.00 3.12 3.20 3.23 3.25 3.27
Social Sciences/History 3.15 3.26 3.34 3.36 3.39 3.40
Grade Average for All Subjects 3.09 3.20 3.28 3.30 3.32 3.34
Percentage of Students With GPA of A-, A or A+ Is Increasing
1990 1995 2000 2005 2009 2010
A+, A, A- 29% 34% 40% 41% 43% 44%
B+, B, B- 53% 50% 47% 47% 46% 45%
C+, C, C- 18% 15% 12% 11% 11% 10%
High School Grades Shifting Over Time
*Based on four-point system, where A=100Note: 1990 GPAs reflect all Student Data Questionnaire responders, not just SAT® takers. GPAs for 1995-2010 reflect SAT® takers only.
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
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?
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The 2010 cohort was the most diverse group ever!
The 2010 cohort was the most diverse group ever!
SAT Performance by Core Curriculum Participation
Reading Math Writing
Core Curriculum 518 531 509
Non-Core Curriculum 467 481 459
Difference +51 +50 +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.
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.
Mathematics Study by SAT-takers
2010 2005 2000 1995 1990
Four or More Years of Study
76% 74% 69% 68% 65%
AP or Honors 36% 30% 28% 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
Number/Percent of SAT-takers Intending to Major in Mathematics
YEAR PERCENT NUMBER
1975 2% 12,835
1980 1% 10,300
1985 1% 10,105
1990 1% 6,659
1995 1% 5,436
2000 1% 6,150
2005 1% 9,935
2010 1% 14,001
NEW -- Student Web Experience
NEW -- Student Web Experience
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)
NEW -- Student Web Experience
Innovative Features, Including Test Day Simulator
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• 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
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If you would like to participate in the pilot, please contact us: [email protected].
If you would like to participate in the pilot, please contact us: [email protected].
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 includedin 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 students
… for your school… for your school
… for your staff… for your staff
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• 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!
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For more information regarding SAT Test Center capabilities or support in completing your
application process, please contact us:
For more information regarding SAT Test Center capabilities or support in completing your
application process, please contact us:
GEOMETRY: CONTENT and
PROCESS
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%)
Multiple Choice
Key = E
Student-Produced Response
Key = 9.8, 49/5
SPR Answer Grid
● 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
● Problem Solving
● Representation
● Reasoning
● Connections
● Communication
NCTM Process Standards
Problem Solving
Parallel and perpendicular lines
Problem Solving
Circles
Problem Solving
Similarity
Problem Solving
Volume
Problem Solving
Volume
Representation
Equilateral triangles and circles
Representation
Coordinate geometry
Representation
Geometric visualization
Representation
Similarity
Representation
Transformations
Representation
Geometric visualization
Reasoning
Parallel and perpendicular lines
Reasoning
Geometric visualization
Reasoning
Isosceles triangles
Reasoning
Triangles
Reasoning
Parallel and perpendicular lines
Connections
Volume
Connections
Polygons and triangles
Connections
Polygons
Connections
Triangles
Connections
Coordinate geometry and Slope
Communication
Polygons
Communication
Rectangular solids
Communication
Coordinate geometry
Communication
Circles
