Utah Pre-Kindergarten Math Standards

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PK.CC Counting and Cardinality

• PK. Know number names and count sequence.
  • PK.CC.1 Begin to count to 20 by ones.
  • PK.CC.2 In the sequence of 1–10, understand that numbers come “before” or “after” one another.
  • PK.CC.3 Count a number of objects 0–10 and associate with a written numeral.
• PK. Count to tell the number of objects.
  • PK.CC.4 Understand the relationship between numbers and quantities; connect counting to cardinality.
    • PK.CC.4.a Use one-to-one correspondence when counting objects.
    • PK.CC.4.b Develop ability to respond to the question “how many” after counting the objects in a set (beginning cardinality understanding).
    • PK.CC.4.c Understand that each number name in sequence 0–10 means one more.
  • PK.CC.5 Count as many as 10 objects arranged in a line.
• PK. Compare numbers.
  • PK.CC.6 With modeling and support, identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group (e.g., by using matching and counting strategies).
  • PK.CC.7 Associate quantities with written numerals 1–10.

PK.OA Operations and Algebraic Thinking

• PK. Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.
  • PK.OA.1 Explore adding and taking away with concrete objects and patterns (e.g., fingers, blocks, dominoes, Unifix cubes, two-sided counters, toys).
  • PK.OA.2 Begin to explore adding and taking away of objects in a set.
    • PK.OA.2.a Solve an addition problem by combining (adding) two or more sets of objects to find out how many in all (within five).
    • PK.OA.2.b Solve a subtraction problem by removing (subtracting) objects from a set of up to five objects.
  • PK.OA.3 Explore different ways a set of objects can be decomposed within five.
  • PK.OA.4 Explore different ways sets of objects can be combined to make a new set within five.
    • PK.OA.4.a Begins to recognize that a set remains the same amount if physically rearranged.
  • PK.OA.5 Say the number created by combining (adding) or removing (subtracting) objects within five.
  • PK.OA.6 Duplicate, extend, and create simple patterns (e.g., ababab).

PK.MD Measurement and data

• PK. Describe and compare measurable attributes.
  • PK.MD.1 Describe objects using vocabulary specific to measurable attributes (e.g., length [long/short], weight [heavy/light], size [big/ small], and distance [near/far]).
    • PK.MD.1.a Organize data to make simple graphs using words: same, more, less.
  • PK.MD.2 Compare objects using measurable attributes (e.g., length [longer/shorter], weight [heavier/lighter], and size [bigger/smaller]).
• PK. Classify objects and count the number of objects in each category.
  • PK.MD.3 Classify objects into given categories; count the number of objects in each category and sort the categories by count.

PK.G Geometry

• PK. Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).
  • PK.G.1 Identify basic shapes by name and in the environment.
  • PK.G.2 Identify and name basic shapes regardless of their orientations (the way the object is turned or flipped) or size.
  • PK.G.3 Begin to recognize basic shapes as two-dimensional (“flat”) or three-dimensional (“solid”).
• PK. Analyze, compare, create, and compose shapes.
  • PK.G.4 With prompting and support, describe basic two- and three-dimensional shapes.
  • PK.G.5 Create basic shapes using media and basic drawing tools.
  • PK.G.6 Explore combining basic shapes to create new shapes.