In prekindergarten through grade 2 all students should
- NM-GEO.PK-2.1: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships
- NM-GEO.PK-2.2: Specify locations and describe spatial relationships using coordinate geometry and other representational systems
- NM-GEO.PK-2.3: Apply transformations and use symmetry to analyze mathematical situations
- NM-GEO.PK-2.4: Use visualization, spatial reasoning, and geometric modeling to solve problems
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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.
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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.
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Apply transformations and use symmetry to analyze mathematical situations
- recognize and apply slides, flips, and turns;
- recognize and create shapes that have symmetry.
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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.
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