| Instructional
programs from prekindergarten through grade 12 should enable
all students to— |
In prekindergarten through grade 2 all students should— |
| Analyze
characteristics and properties of two- and three-dimensional
geometric shapes and develop mathematical arguments about
geometric
relationships |
| • |
recognize, name, build, draw, compare, and sort two- and
three-dimensional shapes; |
| • |
describe attributes and parts of two- and three-dimensional
shapes; |
| • |
investigate and predict the results of putting together
and taking apart two- and three-dimensional shapes. |
|
| Specify
locations and describe spatial relationships using coordinate
geometry and other representational systems |
| • |
describe,
name, and interpret relative positions in space and apply
ideas about relative position; |
| • |
describe, name, and interpret direction and distance in
navigating space and apply ideas about direction and distance;
|
| • |
find and name locations with simple relationships such
as "near to" and in coordinate systems such as maps. |
|
| Apply
transformations and use symmetry to analyze mathematical
situations |
| • |
recognize and apply slides, flips, and turns; |
| • |
recognize and create shapes that have symmetry. |
|
| Use
visualization, spatial reasoning, and geometric modeling
to solve problems |
| • |
create
mental images of geometric shapes using spatial memory
and spatial visualization; |
| • |
recognize and represent shapes from different perspectives;
|
| • |
relate
ideas in geometry to ideas in number and measurement;
|
| • |
recognize geometric shapes and structures in the environment
and specify their location. |
|
