Geometry Standard

## Standard: Geometry

Read the NCTM Geometry Standard: Instructional programs from prekindergarten through grade 12 should enable all students to:

• Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships
• Specify locations and describe spatial relationships using coordinate geometry and other representational systems
• Apply transformations and use symmetry to analyze mathematical situations
• Use visualization, spatial reasoning, and geometric modeling to solve problems

## Featured Topic: Coordinate Geometry

Help students learn about coordinate geometry through various grid activities such as coordinate grid pictures and coordinate grid games such as Capture the Penguins pictured at right.   Younger students learn to graph in the space while older students learn to graph ordered pairs on the intersection of the two lines.

## Geometry

These activities support student development of spatial sense and foster familiarity with the mathematical vocabulary of geometry.

• Directions for making Symmetric Faces pictured at right.
• Symmetric Pumpkin Challenge requires students to complete the right side of a jack-o-lantern to create a symmetric figure.
• Snowflake Symmetry activity teaches students how to make a symmetric snowflake.   The snowflakes are mounted on construction paper and cut apart along a line of symmetry.   All snowflake halves are mixed in a pile and students must try to find the matching snowflakes.