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

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

Dec 18, 2015

Download

Documents

Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
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

????