### 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 dots (up to 20) (Pre-K – E.1)

Count shapes (up to 20) (Pre-K – E.2)

Count objects (up to 20) (Pre-K – E.3)

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

Represent numbers (up to 10) (Pre-K – D.7)

Represent numbers (up to 20) (Pre-K – E.6)

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

Count dots (up to 3) (Pre-K – B.1)

Count shapes (up to 3) (Pre-K – B.2)

Count objects (up to 3) (Pre-K – B.3)

Represent numbers (up to 3) (Pre-K – B.7)

Count dots (up to 5) (Pre-K – C.1)

Count shapes (up to 5) (Pre-K – C.2)

Count objects (up to 5) (Pre-K – C.3)

Represent numbers (up to 5) (Pre-K – C.7)

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

Count dots (up to 10) (Pre-K – D.1)

Count shapes (up to 10) (Pre-K – D.2)

Count objects (up to 10) (Pre-K – D.3)

#### 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).

Represent numbers (up to 10) (Pre-K – D.7)

Represent numbers (up to 20) (Pre-K – E.6)

#### 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”).

Compare in a chart (fewer or more) (Pre-K – F.4)

Compare in a mixed group (Pre-K – F.5)

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

Count up and down – with pictures (Kindergarten – C.10)

#### 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.

Addition with pictures – sums up to 5 (Kindergarten – I.1)

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

Addition with pictures – sums up to 10 (Kindergarten – I.6)

Subtract with pictures – numbers up to 10 (Kindergarten – J.5)

### 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).

Same and different (Pre-K – H.3)

Classify by color (Pre-K – H.4)

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

#### PK.2.1 Recognize and duplicate simple repeating patterns.

Similar patterns (Kindergarten – H.1)

Complete missing parts of patterns (Kindergarten – H.2)

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

Similar patterns (Kindergarten – H.1)

Complete missing parts of patterns (Kindergarten – H.2)

### 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).

Holds more or less (Pre-K – I.4)

Compare height, weight, and capacity (Pre-K – I.5)

#### PK.1.2 Order four or more objects by size.

Holds more or less (Pre-K – I.4)

Compare height, weight, and capacity (Pre-K – I.5)

#### 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.

Identify circles, squares, and triangles (Pre-K – A.1)

Identify squares and rectangles (Pre-K – A.2)

Identify cubes and pyramids (Pre-K – A.3)

#### 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 (Pre-K – G.1)

Left, middle, and right (Pre-K – G.4)

### PK.MR Mathematical Reasoning

#### PK.1.0 Children expand the use of mathematical thinking to solve problems that arise in their everyday environment.