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GEOMETRY on the SAT: LINKING CONTENT and PROCESS. NCTM Annual Meeting and Exposition Indianapolis April 15, 2011. Presenters. Robin K. O’Callaghan The College Board rocallaghan@collegeboard.org Andrew D. Schwartz The College Board anschwartz@collegeboard.org.
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GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011
Presenters • Robin K. O’Callaghan The College Board rocallaghan@collegeboard.org • Andrew D. Schwartz The College Board anschwartz@collegeboard.org
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
Geometric Content on the SAT ● Polygons ● Circles ● Volume of boxes, cubes, and cylinders ● Isosceles, equilateral, and right triangles ● Parallel and perpendicular lines ● Coordinate geometry ● Geometric visualization ● Slope ● Similarity ● Transformations
NCTM Process Standards ● Problem Solving ● Representation ● Reasoning ● Connections ● Communication
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