Archived Information
Mathematics Curriculum Framework  November 2000
Learning Standards by Strand
Geometry for Grades 12
Analyze characteristics and properties of two and threedimensional geometric shapes and develop mathematical arguments about geometric relationships
Specify locations and describe spatial relationships using coordinate geometry and other representational systems
Use visualization, spatial reasoning, and geometric modeling to solve problems
Learning Standards
Students engage in problem solving, communicating, reasoning, connecting, and representing as they:
2.G.1 Describe attributes and parts of two and threedimensional shapes, e.g., length of sides, and number of corners, edges, faces, and sides.
2.G.2 Identify, describe, draw, and compare twodimensional shapes, including both polygonal (up to six sides) and curved figures such as circles.
2.G.3 Recognize congruent shapes.
2.G.4 Identify shapes that have been rotated (turned), reflected (flipped), translated (slid), and enlarged. Describe direction of translations, e.g., left, right, up, down.
2.G.5 Identify symmetry in twodimensional shapes.
2.G.6 Predict the results of putting shapes together and taking them apart.
2.G.7 Relate geometric ideas to numbers, e.g., seeing rows in an array as a model of repeated addition.
Exploratory Concepts and Skills
 Investigate symmetry in twodimensional shapes with mirrors or by paper folding.
 Explore intersecting, parallel, and perpendicular lines.
 Create mental images of geometric shapes using spatial memory and spatial visualization.
 Recognize and represent shapes from different perspectives.
 Recognize geometric shapes and structures in the environment and specify their location.
 Identify relative positions, e.g., closer, farther, higher, lower.
 Find and name locations on maps and express simple relationships, e.g., near to, far away from, etc.
Last Updated: November 1, 2000
