Reason with shapes and their attributes

Geometry helps people describe the world around them through the study of geometric shapes, structures, and their characteristics and relationships. Through the study of geometry, students will learn about shapes and dimensions around them and how to analyze spatial relationships in everyday life. Spatial visualization—building and manipulating mental representations of two-and three-dimensional objects and perceiving an object from different perspectives—is an important aspect of geometric thinking. An understanding of the attributes and relationships of geometric objects can be applied to diverse contexts.

In the second grade, partitioning geometric shapes helps children begin to develop an understanding of fractions. Children continue to build and draw 2- and 3-dimensional shapes, as well as compose and decompose shapes. Building and decomposing rectangular arrays with square tiles, blocks, etc., students develop the initial understanding of multiplication as an aid to find the total number of squares or blocks represented.