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Topic: Geometry 

Common Core Mathematics K-2

 Cluster  Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).
   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 two-dimensional (lying in a plane, "flat") or three-dimensional ("solid").
 Cluster  Analyze, compare, create, and compose shapes.
   K.G.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.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 three-sided) versus non-defining attributes (e.g., color, orientation, overall size); build and draw shapes to possess defining attributes.
   1.G.2.Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional 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 same-size 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.