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# Mathematics Curriculum Framework - November 2000

## Learning Standards by Strand

Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships
Specify locations and describe spatial relationships using coordinate geometry and other representational systems
Apply transformations and use symmetry to analyze mathematical situations
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 three-dimensional shapes, e.g., length of sides, and number of corners, edges, faces, and sides.
2.G.2
Identify, describe, draw, and compare two-dimensional 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 two-dimensional 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 two-dimensional 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.

Geometry