Geometry Standard
NCTM Principles and Standards for School Mathematics
ÒInstructional programs from prekindergarten
through grade 12 should enable all students to –Ó
NCTM
p. 41
á
Analyze characteristics
and properties of two- and three-dimensional geometric shapes and develop
mathematical arguments about geometric relationships.
á
Specify locations and
describe spatial relationships using coordinate geometry and other
representational systems.
Pre-K
– 2
á describe, name, and interpret relative positions in
space and apply ideas about relative position
á describe, name, and interpret direction and distance
in navigating space and apply ideas about direction and distance
á find and name locations with simple relationships such
as "near to" and in coordinate systems such as maps
3
– 5
á describe location and movement using common language
and geometric vocabulary
á make and use coordinate systems to specify locations
and to describe paths
á find the distance between points along horizontal and
vertical lines of a coordinate system
6
– 8
á use coordinate geometry to represent and examine the
properties of geometric shapes
á use coordinate geometry to examine special geometric
shapes, such as regular polygons or those with pairs of parallel or
perpendicular sides
9
– 12
á use Cartesian coordinates and other coordinate
systems, such as navigational, polar, or spherical systems, to analyze
geometric situations
á investigate conjectures and solve problems involving
two- and three-dimensional objects represented with Cartesian coordinates
á
Apply transformations
and use symmetry to analyze mathematical situations.
á
Use visualization,
spatial reasoning, and geometric modeling to solve problems.