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Mathematics Curriculum Framework - November 2000

Learning Standards by Strand

Geometry for Grades 1-2

cross symbol
Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships
solid circle symbol
Specify locations and describe spatial relationships using coordinate geometry and other representational systems
solid triangle symbol
Apply transformations and use symmetry to analyze mathematical situations
solid square symbol
Use visualization, spatial reasoning, and geometric modeling to solve problems

Learning Standards

Students engage in problem solving, communicating, reasoning, connecting, and representing as they:

Describe attributes and parts of two- and three-dimensional shapes, e.g., length of sides, and number of corners, edges, faces, and sides. cross symbol
Identify, describe, draw, and compare two-dimensional shapes, including both polygonal (up to six sides) and curved figures such as circles. cross symbol
Recognize congruent shapes. cross symbol
Identify shapes that have been rotated (turned), reflected (flipped), translated (slid), and enlarged. Describe direction of translations, e.g., left, right, up, down. solid triangle symbol
Identify symmetry in two-dimensional shapes. solid triangle symbol
Predict the results of putting shapes together and taking them apart. solid square symbol
Relate geometric ideas to numbers, e.g., seeing rows in an array as a model of repeated addition. solid square symbol


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.


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Learning Standards for Grades 3-4

Last Updated: November 1, 2000
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