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Mathematics Curriculum Framework - November 2000

Learning Standards by Strand

Geometry for Grades 3-4

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:

4.G.1 Compare and analyze attributes and other features (e.g., number of sides, faces, corners, right angles, diagonals, and symmetry) of two- and three-dimensional geometric shapes. cross symbol
4.G.2 Describe, model, draw, compare, and classify two- and three-dimensional shapes, e.g., circles, polygons-especially triangles and quadrilaterals-cubes, spheres, and pyramids. cross symbol
4.G.3 Recognize similar figures. cross symbol
4.G.4 Identify angles as acute, right, or obtuse. cross symbol
4.G.5 Describe and draw intersecting, parallel, and perpendicular lines. cross symbol
4.G.6 Using ordered pairs of numbers and/or letters, graph, locate, identify points, and describe paths (first quadrant). solid circle symbol
4.G.7 Describe and apply techniques such as reflections (flips), rotations (turns), and translations (slides) for determining if two shapes are congruent. solid triangle symbol
4.G.8 Identify and describe line symmetry in two-dimensional shapes. solid triangle symbol
4.G.9 Predict and validate the results of partitioning, folding, and combining two- and three-dimensional shapes. solid triangle symbol


Exploratory Concepts and Skills

  • Predict and describe results of transformations (e.g., translations, rotations, and reflections) on two-dimensional shapes.
  • Investigate two-dimensional representations of three-dimensional objects.


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Learning Standards for Grades 5-6

Last Updated: November 1, 2000
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