Principles and Standards for School Mathematics

Geometry Standard

Geometry Standard (pre-K - 2)

create mental images of geometric shapes using spatial memory and spatial visualization;


Link to NCTM Document | ORC Resources


recognize and represent shapes from different perspectives;


Link to NCTM Document | ORC Resources


relate ideas in geometry to ideas in number and measurement;


Link to NCTM Document | ORC Resources


recognize geometric shapes and structures in the environment and specify their location.


Link to NCTM Document | ORC Resources

Geometry Standard (3 - 5)

build and draw geometric objects;


Link to NCTM Document | ORC Resources


create and describe mental images of objects, patterns, and paths;


Link to NCTM Document | ORC Resources


identify and build a three-dimensional object from two-dimensional representations of that object;


Link to NCTM Document | ORC Resources


identify and draw a two-dimensional representation of a three-dimensional object;


Link to NCTM Document | ORC Resources


use geometric models to solve problems in other areas of mathematics, such as number and measurement;


Link to NCTM Document | ORC Resources


recognize geometric ideas and relationships and apply them to other disciplines and to problems that arise in the classroom or in everyday life.


Link to NCTM Document | ORC Resources

Geometry Standard (6 - 8)

draw geometric objects with specified properties, such as side lengths or angle measures;


Link to NCTM Document | ORC Resources


use two-dimensional representations of three-dimensional objects to visualize and solve problems such as those involving surface area and volume;


Link to NCTM Document | ORC Resources


use visual tools such as networks to represent and solve problems;


Link to NCTM Document | ORC Resources


use geometric models to represent and explain numerical and algebraic relationships;


Link to NCTM Document | ORC Resources


recognize and apply geometric ideas and relationships in areas outside the mathematics classroom, such as art, science, and everyday life.


Link to NCTM Document | ORC Resources

Geometry Standard (9 - 12)

draw and construct representations of two- and three-dimensional geometric objects using a variety of tools;


Link to NCTM Document | ORC Resources


visualize three-dimensional objects and spaces from different perspectives and analyze their cross sections;


Link to NCTM Document | ORC Resources


use vertex-edge graphs to model and solve problems;


Link to NCTM Document | ORC Resources


use geometric models to gain insights into, and answer questions in, other areas of mathematics;


Link to NCTM Document | ORC Resources


use geometric ideas to solve problems in, and gain insights into, other disciplines and other areas of interest such as art and architecture.


Link to NCTM Document | ORC Resources