Topic: Geometry  Common Core Mathematics K2   Cluster Identify and describe shapes (squares, circles, triangles, rectangles,
hexagons, cubes, cones, cylinders, and spheres).    Kindergarten     K.G.1.  Describe objects in the environment using names of shapes, and
describe the relative positions of these objects using terms such as
above, below, beside, in front of, behind, and next to.     K.G.2.  Correctly name shapes regardless of their orientations or overall size.     K.G.3.  Identify shapes as twodimensional (lying in a plane, "flat") or threedimensional
("solid").   Cluster Analyze, compare, create, and compose shapes.    Kindergarten     K.G.4.  Analyze and compare two and threedimensional 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.5.  Model shapes in the world by building shapes from components (e.g.,
sticks and clay balls) and drawing shapes.     K.G.6.  Compose simple shapes to form larger shapes. For example, "Can you
join these two triangles with full sides touching to make a rectangle?"   Cluster Reason with shapes and their attributes.    Grade 1     1.G.1.  Distinguish between defining attributes (e.g., triangles are closed and
threesided) versus nondefining attributes (e.g., color, orientation,
overall size); build and draw shapes to possess defining attributes.     1.G.2.  Compose twodimensional shapes (rectangles, squares, trapezoids, triangles, halfcircles, and quartercircles) or threedimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from
the composite shape.[Students do not need to learn formal names such as "right rectangular prism"]     1.G.3.  Partition circles and rectangles into two and four equal shares, describe
the shares using the words halves, fourths, and quarters, and use the
phrases half of, fourth of, and quarter of. Describe the whole as two of,
or four of the shares. Understand for these examples that decomposing
into more equal shares creates smaller shares.   Cluster Reason with shapes and their attributes.    Grade 2     2.G.1.  Recognize and draw shapes having specified attributes, such as a given
number of angles or a given number of equal faces.[Sizes are compared directly or visually, not compared by measuring] Identify triangles,
quadrilaterals, pentagons, hexagons, and cubes.     2.G.2.  Partition a rectangle into rows and columns of samesize squares and
count to find the total number of them.     2.G.3.  Partition circles and rectangles into two, three, or four equal shares,
describe the shares using the words halves, thirds, half of, a third of,
etc., and describe the whole as two halves, three thirds, four fourths.
Recognize that equal shares of identical wholes need not have the
same shape. 
