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Analyze, compare, create, and compose shapes

Through the study of geometry, students will learn about geometric shapes and structures and how to analyze their characteristics and relationships. Geometry helps children describe the world around them. They should be able to identify and describe basic 2- and 3-dimensional shapes. Students need to have many experiences with geometric manipulatives, composing shapes from other shapes, and discussing relative positions in space through conversations, demonstrations, and stories. Children come to school with varying degrees of spatial sense development. Through exploration and using building blocks, pattern blocks, or 3-dimensional solids like instant oats cylinders or cereal boxes, children can develop initial understandings of these shapes and their attributes. Teachers can further children’s understanding of these materials by naming and describing the attributes of these materials.

Scaffolded Ideas:

 - 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.
 - understand measurable attributes of objects and the units, systems, and processes of measurement;
 - apply appropriate techniques, tools, and formulas to determine measurements.

    Question to Focus Instruction:

     - What characteristics and properties of two- and three-dimensional geometric shapes help students develop mathematical arguments about geometric relationships?

    Associated Standards:

    K.G.B.4. Analyze and compare two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices/“corners”) and other attributes (e.g., having sides of equal length).
    K.G.B.5. Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes.
    K.G.B.6. Compose simple shapes to form larger shapes. For example, “Can you join these two triangles with full sides touching to make a rectangle?”