District of Columbia Pre-Kindergarten Math Standards

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14 Matches, groups and classifies objects

• Classification
  • 14a Groups objects according to a common characteristic, regroups them according to a different characteristic and explains the grouping rules
• Patterns
  • 14b Creates and extends simple repeating patterns

15 Demonstrates knowledge of number and counting

• Knows Number Names and the Count Sequence
  • 15a Counts to 20 by ones
  • 15b Tells what number comes next in the counting sequence when given a number between 1 and 9
  • 15c Recognizes and names the written numerals 1–10
• Counts to tell the number of objects
  • 15d Counts 10–20 objects accurately, using one number name for each object
  • 15e Understands that the last number named tells the number of objects counted and that the number of objects is the same regardless of their arrangement or the order in which they were counted
  • 15f Counts to answer “How many?” questions about 10–20 objects
  • 15g Correctly associates a numeral with a group of as many as 10 counted objects
• Compares Numbers
  • 15h Uses matching and counting strategies and comparative language to identify whether the number of objects in one group (as many as 10 objects) is greater than, less than or equal to the number of objects in another group (as many as 10 objects)
• Understands Addition as Putting Together and Adding to and Understands Subtraction as Taking Apart and Taking From
  • 15i Uses concrete objects to solve real-world addition (putting together) and subtraction (taking away) problems with 6–10 objects

16 Demonstrates knowledge of volume, height, weight and length

• Describes and Compares Measurable Attributes
  • 16a Describes everyday objects in terms of measurable attributes, such as length, height, weight or volume (capacity), using appropriate basic vocabulary (e.g., short, long, tall, heavy, light, big, small, wide, narrow)
  • 16b Knows and correctly uses a few ordinal numbers
  • 16c Knows the usual sequence of basic daily events

17 Identifies and labels shapes

• Identifies and Describes Shapes and the Relative Position of Objects
  • 17a Correctly names basic two-dimensional shapes (squares, circles, triangles, rectangles), regardless of their orientations or size
  • 17b Describes basic two- and three-dimensional shapes
  • 17c Builds objects of basic shapes (ball/sphere, square box/cube, tube/cylinder) by using various materials such as craft sticks, blocks, pipe cleaners, clay and so on

18 Demonstrates understanding of positional words

• 18a Identifies the relative position of objects, using appropriate terms such as above, below, in front of, behind, over, under