Ohio Mathematics Academic Content Standards (2001)
Geometry and Spatial Sense Standard
Sort and compare two-dimensional figures and three-dimensional objects according to their characteristics and properties.
Provide rationale for groupings and comparisons of two-dimensional figures and three-dimensional objects.
Use attributes to describe, classify and sketch plane figures and build solid objects.
Grade Level Indicators (Grade Prekindergarten)
Sort and classify similar two- and three-dimensional objects in the environment and play situations (e.g., paper shapes, 2 balls of different size).
Identify, name, create and describe common two-dimensional shapes in the environment and play situations (e.g., circles, triangles, rectangles, and squares).
Grade Level Indicators (Grade Kindergarten)
Identify and sort two-dimensional shapes and three-dimensional objects. For example:
a. Identify and describe two-dimensional figures and three-dimensional objects from the environment using the child's own vocabulary.
b. Sort shapes and objects into groups based on student-defined categories.
c. Select all shapes or objects of one type from a group.
d. Build two-dimensional figures using paper shapes or tangrams; build simple three-dimensional objects using blocks.
Grade Level Indicators (Grade 1)
Identify, compare, and sort two-dimensional shapes; i.e., square, circle, ellipse, triangle, rectangle, rhombus, trapezoid, parallelogram, pentagon, and hexagon. For example:
a. Recognize and identify triangles and rhombuses independent of position, shape or size; and
b. Describe two-dimensional shapes using attributes such as number of sides and number of vertices (corners, or angles).
Grade Level Indicators (Grade 3)
Analyze and describe properties of two-dimensional shapes and three-dimensional objects using terms such as vertex, edge, angle, side and face.
Grade Level Indicators (Grade 4)
Describe, classify, compare and model two- and three-dimensional objects using their attributes.
Principles and Standards for School Mathematics
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;
identify, compare, and analyze attributes of two- and three-dimensional shapes and develop vocabulary to describe the attributes;
classify two- and three-dimensional shapes according to their properties and develop definitions of classes of shapes such as triangles and pyramids;