The Geometry Standard

1
The Geometry Standard

• Principles and Standards for School Mathematics
• National Council of Teachers of Mathematics
• 2000

2
 Instructional programs from pre-kindergarten
through grade 12 should enable all students to

• 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.

3
 Instructional programs from pre-kindergarten
through grade 12 should enable all students to

• Apply transformations and use symmetry to analyze
  mathematical situations
• Use visualization, spatial reasoning, and
  geometric modeling to solve problems

4
Geoboard Quadrilaterals

• Mark off a 3 by 3 section on your geoboard. All
  your exploration will be done on these 9 pegs.
• How many non-congruent quadrilaterals can you
  form?
• Use your geoboard to explore and then record your
  discoveries on geoboard recording paper.

5
Geoboard Quadrilaterals

• Compare your set of quadrilaterals with others to
  find those you may have missed.
• Can you categorize the quadrilaterals in any way?
  How?