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.
á
Apply transformations
and use symmetry to analyze mathematical situations.
Pre-K
– 2
á recognize and apply slides, flips, and turns
á recognize and create shapes that have symmetry
3
– 5
á predict and describe the results of sliding, flipping,
and turning two-dimensional shapes
á describe a motion or a series of motions that will
show that two shapes are congruent
á identify and describe line and rotational symmetry in
two- and three-dimensional shapes and designs
6
– 8
á describe sizes, positions, and orientations of shapes
under informal transformations such as flips, turn, slides, and scaling
á examine the congruence, similarity, and line or
rotational symmetry of objects using transformations
9
– 12
á understand and represent translations, reflections,
rotations, and dilations of objects in the plane by using sketches,
coordinates, vectors, function notation, and matrices
á use various representations to help understand the
effects of simple transformations and their comparisons
á
Use visualization,
spatial reasoning, and geometric modeling to solve problems.