California Pre-Kindergarten Math Standards

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PK.NO Number Sense

• PK.1.0 Children expand their understanding of numbers and quantities in their everyday environment.
  • PK.1.1 Recite numbers in order to twenty with increasing accuracy.
  • PK.1.2 Recognize and know the name of some written numerals.
  • PK.1.3 Identify, without counting, the number of objects in a collection of up to four objects (i.e., subitize).
  • PK.1.4 Count up to ten objects, using one-to-one correspondence (one object for each number word) with increasing accuracy.
  • PK.1.5 Understand, when counting, that the number name of the last object counted represents the total number of objects in the group (i.e., cardinality).
• PK.2.0 Children expand their understanding of number relationships and operations in their everyday environment.
  • PK.2.1 Compare, by counting or matching, two groups of up to five objects and communicate, “more,” “same as,” or “fewer” (or “less”).
  • PK.2.2 Understand that adding one or taking away one changes the number in a small group of objects by exactly one.
  • PK.2.3 Understand that putting two groups of objects together will make a bigger group and that a group of objects can be taken apart into smaller groups.
  • PK.2.4 Solve simple addition and subtraction problems with a small number of objects (sums up to 10), usually by counting.

PK.AF Algebra and Functions (Classification and Patterning)

• PK.1.0 Children expand their understanding of sorting and classifying objects in their everyday environment.
  • PK.1.1 Sort and classify objects by one or more attributes, into two or more groups, with increasing accuracy (e.g., may sort first by one attribute and then by another attribute).
• PK.2.0 Children expand their understanding of simple, repeating patterns.
  • PK.2.1 Recognize and duplicate simple repeating patterns.
  • PK.2.2 Begin to extend and create simple repeating patterns.

PK.MEA Measurement

• PK.1.0 Children expand their understanding of comparing, ordering, and measuring objects.
  • PK.1.1 Compare two objects by length, weight, or capacity directly (e.g., putting objects side by side) or indirectly (e.g., using a third object).
  • PK.1.2 Order four or more objects by size.
  • PK.1.3 Measure length using multiple duplicates of the same-size concrete units laid end to end.

PK.G Geometry

• PK.1.0 Children identify and use a variety of shapes in their everyday environment.
  • PK.1.1 Identify, describe, and construct a variety of different shapes, including variations of a circle, triangle, rectangle, square, and other shapes.
  • PK.1.2 Combine different shapes to create a picture or design.
• PK.2.0 Children expand their understanding of positions in space.
  • PK.2.1 Identify positions of objects and people in space, including in/on/ under, up/down, inside/outside, beside/between, and in front/behind.

PK.MR Mathematical Reasoning

• PK.1.0 Children expand the use of mathematical thinking to solve problems that arise in their everyday environment.
  • PK.1.1 Identify and apply a variety of mathematical strategies to solve problems in their environment.