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### PK. Mathematics and Numeracy

- PK.38 Children demonstrate knowledge of numbers and counting
- PK.38.C 36 to 60 months
- PK.38.C.1 Names some numerals
- PK.38.C.2 Recognizes that a single object is “one” regardless of size, shape, or other attributes
- PK.38.C.3 Understands that numbers represent quantity (e.g., gets three apples out of the box)
- PK.38.C.4 Applies numbers and counting concepts to daily life (e.g., counts number of children who have raised their hand)
- PK.38.C.5 Differentiates some letters from numerals
- PK.38.C.6 Recognizes, names, and writes some numerals
- PK.38.C.7 Names the numbers in order to ten or more from memory
- PK.38.C.8 Counts at least five objects in one-to-one correspondence, without assistance
- PK.38.C.9 Understands that the last count represents the quantity of what has been counted
- PK.38.C.10 Understands the quantity is not affected by the order of counting
- PK.38.C.11 Groups objects and counts the number of groups
- PK.38.C.12 Applies counting to new situations (e.g., counting objects, counting groups)
- PK.38.C.13 Uses numbers to predict and make realistic guesses (e.g., “I think there are about twenty marbles in that jar.”)
- PK.38.C.14 Tells what number comes before or after a given number up to five

- PK.38.D 60 months to Kindergarten Entry
- PK.38.D.1 Counts to at least 20 from memory
- PK.38.D.2 Understands that when counting items they must be counted only once and none should be left out
- PK.38.D.3 Uses math manipulatives, games, toys, and coins in daily activities
- PK.38.D.4 Uses basic numbers and counting operations (e.g., “I gave Chua one of my blocks. Now she has two blocks.”)
- PK.38.D.5 Tells what number comes before or after a given number to 20, with assistance
- PK.38.D.6 Explains the difference between addition and subtraction, with assistance

- PK.38.C 36 to 60 months
- PK.39 Children demonstrate some knowledge of size, volume, height, weight and length
- PK.39.C 36 to 60 months
- PK.39.C.1 Engages in activities that explore and develop vocabulary for length and weight
- PK.39.C.2 Uses measuring tools in play activities (e.g., measuring tape, measuring cups)
- PK.39.C.3 Estimates size (e.g., “I’m as tall as the yellow bookshelf.”)
- PK.39.C.4 Labels objects using size words
- PK.39.C.5 Exhibits spontaneous comparison by ordering objects by size, volume, height, weight, and length

- PK.39.D 60 months to Kindergarten Entry
- PK.39.D.1 Measures sand or water using a variety of containers
- PK.39.D.2 Measures ingredients for a cooking project, with guidance
- PK.39.D.3 Uses some conventional vocabulary of measurement (e.g., inch, cup, pound), though may not have exact understanding of meaning
- PK.39.D.4 Estimates measurements using size, volume, height, weight, and length (e.g., how many steps it will take to walk across the room)
- PK.39.D.5 Demonstrates comparative behavior by matching objects correctly (e.g., bolts to nuts, jars to lids, greeting cards to envelopes)

- PK.39.C 36 to 60 months
- PK.40 Children sort, classify, and organize objects
- PK.40.C 36 to 60 months
- PK.40.C.1 Orders several objects on the basis of one characteristic through trial and error (e.g., puts four blocks in a row from smallest to largest)
- PK.40.C.2 Systematically explores patterns with a variety of materials
- PK.40.C.3 Classifies everyday objects that go together (e.g., shoe/sock, pencil/paper, comb/brush)
- PK.40.C.4 Compares shape and size of objects
- PK.40.C.5 Creates, builds, or draws shapes
- PK.40.C.6 Orders shapes from smallest to largest (e.g., orders various circle sizes)

- PK.40.D 60 months to Kindergarten Entry
- PK.40.D.1 Sorts objects into categories, classifying and comparing according to a characteristic (e.g., size, color)
- PK.40.D.2 Recognizes, describes, duplicates, and extends a two-part pattern (e.g., A/B, circle/square)
- PK.40.D.3 Describes how and why objects are arranged or sorted the way they are

- PK.40.C 36 to 60 months