Principles and Standards for School Mathematics

Geometry Standard

Geometry Standard (pre-K - 2)

describe, name, and interpret relative positions in space and apply ideas about relative position;


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describe, name, and interpret direction and distance in navigating space and apply ideas about direction and distance;


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find and name locations with simple relationships such as "near to" and in coordinate systems such as maps.


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Geometry Standard (3 - 5)

describe location and movement using common language and geometric vocabulary;


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make and use coordinate systems to specify locations and to describe paths;


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find the distance between points along horizontal and vertical lines of a coordinate system.


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Geometry Standard (6 - 8)

use coordinate geometry to represent and examine the properties of geometric shapes;


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use coordinate geometry to examine special geometric shapes, such as regular polygons or those with pairs of parallel or perpendicular sides.


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Geometry Standard (9 - 12)

use Cartesian coordinates and other coordinate systems, such as navigational, polar, or spherical systems, to analyze geometric situations;


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investigate conjectures and solve problems involving two- and three-dimensional objects represented with Cartesian coordinates.


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