The Common Core in California

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.

    • Count forward - up to 20 (K-D.12)

  • PK.1.2 Recognize and know the name of some written numerals.

    • Names of numbers - up to 10 (K-C.30)

  • PK.1.3 Identify, without counting, the number of objects in a collection of up to four objects (i.e., subitize).

    • Count pictures - up to 3 (P-A.3)
    • Count dots - up to 3 (P-A.4)
    • Count shapes - up to 3 (P-A.5)
    • Represent numbers with pictures - up to 3 (P-A.9)
    • Represent numbers with pictures - up to 5 (P-B.12)

  • PK.1.4 Count up to ten objects, using one-to-one correspondence (one object for each number word) with increasing accuracy.

    • Learn to count - up to 10 (P-C.2)
    • Count pictures - up to 10 (P-C.3)
    • Count dots - up to 10 (P-C.4)

  • 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).

    • Learn to count - up to 3 (P-A.2)
    • Learn to count - up to 5 (P-B.2)
    • Learn to count - up to 10 (P-C.2)

• 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").

    • More (P-E.1)
    • Fewer (P-E.2)
    • Fewer and more - compare by counting (P-E.4)
    • Fewer and more - compare in a mixed group (P-E.5)
    • Fewer, more, and same (K-H.4)

  • PK.2.2 Understand that adding one or taking away one changes the number in a small group of objects by exactly one.

    • One more and one less with pictures - up to 10 (K-C.20)
    • One more and one less on frames - up to 10 (K-C.21)

  • 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.

    • Add with pictures - sums up to 5 (K-J.6)
    • Subtract with pictures - numbers up to 5 (K-L.3)

  • PK.2.4 Solve simple addition and subtraction problems with a small number of objects (sums up to 10), usually by counting.

    • Add with pictures - sums up to 10 (K-K.8)
    • Addition sentences up to 10 - which model matches? (K-K.9)
    • Subtract with pictures - numbers up to 10 (K-M.3)

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).

    • Different (P-G.1)
    • Same (P-G.2)
    • Classify shapes by color (P-G.4)
    • Classify and sort by color (P-G.5)
    • Classify and sort by shape (P-G.6)

• PK.2.0 Children expand their understanding of simple, repeating patterns.

  • PK.2.1 Recognize and duplicate simple repeating patterns.

    • Color patterns (P-H.1)
    • Shape patterns (P-H.3)
    • Shape patterns (K-I.3)

  • PK.2.2 Begin to extend and create simple repeating patterns.

    • What comes next? (P-H.4)
    • Shape patterns (K-I.3)
    • Complete a pattern (K-I.5)

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).

    • Long and short (P-I.1)
    • Tall and short (P-I.2)
    • Wide and narrow (P-I.3)
    • Light and heavy (P-I.4)
    • Holds more or less (P-I.5)
    • Compare size, weight, and capacity (P-I.6)

  • 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.

    • Measure length with objects (K-U.7)

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.

    • Circles (P-K.2)
    • Triangles (P-K.3)
    • Squares (P-K.4)
    • Rectangles (P-K.5)
    • Circles, squares, and triangles (P-K.6)

  • 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.

    • Inside and outside (P-F.1)
    • Left and right (P-F.2)
    • Left, middle, and right (P-F.3)
    • Top and bottom (P-F.4)
    • Top, middle, and bottom (P-F.5)
    • Above and below (P-F.6)
    • Beside and next to (P-F.7)

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.

    • Fewer and more - compare in a mixed group (P-E.5)
    • Are there enough? (P-E.7)
    • Same and different (P-G.3)