Principles and Standards for School Mathematics

Geometry Standard

Geometry Standard (pre-K - 2)

recognize and apply slides, flips, and turns;


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recognize and create shapes that have symmetry.


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Geometry Standard (3 - 5)

predict and describe the results of sliding, flipping, and turning two-dimensional shapes;


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describe a motion or a series of motions that will show that two shapes are congruent;


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identify and describe line and rotational symmetry in two- and three-dimensional shapes and designs.


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Geometry Standard (6 - 8)

describe sizes, positions, and orientations of shapes under informal transformations such as flips, turns, slides, and scaling;


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examine the congruence, similarity, and line or rotational symmetry of objects using transformations.


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Geometry Standard (9 - 12)

understand and represent translations, reflections, rotations, and dilations of objects in the plane by using sketches, coordinates, vectors, function notation, and matrices;


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use various representations to help understand the effects of simple transformations and their compositions.


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