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GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

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Page 1: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

GEOMETRY on the SAT: LINKING CONTENT and

PROCESS

NCTM Annual Meeting and Exposition

Indianapolis

April 15, 2011

Page 2: 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

[email protected]

• Andrew D. Schwartz

The College Board

[email protected] 

Page 3: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

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%) 

Page 4: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Multiple Choice

Key = E

Page 5: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Student-Produced Response

Key = 9.8, 49/5

Page 6: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

SPR Answer Grid

Page 7: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

● 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

Page 8: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

● Problem Solving

● Representation

● Reasoning

● Connections

● Communication

NCTM Process Standards

Page 9: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Problem Solving

Parallel and perpendicular lines

Page 10: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Problem Solving

Circles

Page 11: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Problem Solving

Similarity

Page 12: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Problem Solving

Volume

Page 13: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Problem Solving

Volume

Page 14: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Representation

Equilateral triangles and circles

Page 15: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Representation

Coordinate geometry

Page 16: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Representation

Geometric visualization

Page 17: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Representation

Similarity

Page 18: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Representation

Transformations

Page 19: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Representation

Geometric visualization

Page 20: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Reasoning

Parallel and perpendicular lines

Page 21: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Reasoning

Geometric visualization

Page 22: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Reasoning

Isosceles triangles

Page 23: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Reasoning

Triangles

Page 24: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Reasoning

Parallel and perpendicular lines

Page 25: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Connections

Volume

Page 26: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Connections

Polygons and triangles

Page 27: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Connections

Polygons

Page 28: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Connections

Triangles

Page 29: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Connections

Coordinate geometry and Slope

Page 30: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Communication

Polygons

Page 31: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Communication

Rectangular solids

Page 32: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Communication

Coordinate geometry

Page 33: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

Communication

Circles

Page 34: GEOMETRY on the SAT: LINKING CONTENT and PROCESS NCTM Annual Meeting and Exposition Indianapolis April 15, 2011

YourQuestions

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