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Archived Information

Mathematics Curriculum Framework - November 2000

Learning Standards by Strand

Geometry
for Grades 5-6

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:

6.G.1
Identify polygons based on their properties, including types of interior angles, perpendicular or parallel sides, and congruence of sides, e.g., squares, rectangles, rhombuses, parallelograms, trapezoids, and isosceles, equilateral, and right triangles. cross symbol
6.G.2
Identify three-dimensional shapes (e.g., cubes, prisms, spheres, cones, and pyramids) based on their properties, such as edges and faces. cross symbol
6.G.3
Identify relationships among points, lines, and planes, e.g., intersecting, parallel, perpendicular. cross symbol
6.G.4
Graph points and identify coordinates of points on the Cartesian coordinate plane (all four quadrants). solid circle symbol
6.G.5
Find the distance between two points on horizontal or vertical number lines. solid circle symbol
6.G.6
Predict, describe, and perform transformations on two-dimensional shapes, e.g., translations, rotations, and reflections. solid triangle symbol
6.G.7
Identify types of symmetry, including line and rotational. solid triangle symbol
6.G.8
Determine if two shapes are congruent by measuring sides or a combination of sides and angles, as necessary; or by motions or series of motions, e.g., translations, rotations, and reflections. solid triangle symbol
6.G.9
Match three-dimensional objects and their two-dimensional representations, e.g., nets, projections, and perspective drawings. solid square symbol

 

Exploratory Concepts and Skills

  • Use manipulatives and technology to model geometric shapes.
  • Investigate tessellations (tilings).
  • Explore the angles formed by intersecting lines.
  • Identify and draw shapes and figures from different views/perspectives.
  • Recognize and apply geometric ideas and relationships in areas outside the mathematics classroom, such as art, science, and everyday life.

 

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Learning Standards for Grades 3-4
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Geometry
Learning Standards for Grades 7-8



Last Updated: November 1, 2000
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