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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:

 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. 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. 4.G.3 Recognize similar figures. 4.G.4 Identify angles as acute, right, or obtuse. 4.G.5 Describe and draw intersecting, parallel, and perpendicular lines. 4.G.6 Using ordered pairs of numbers and/or letters, graph, locate, identify points, and describe paths (first quadrant). 4.G.7 Describe and apply techniques such as reflections (flips), rotations (turns), and translations (slides) for determining if two shapes are congruent. 4.G.8 Identify and describe line symmetry in two-dimensional shapes. 4.G.9 Predict and validate the results of partitioning, folding, and combining two- and three-dimensional shapes.

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.

Geometry