Cognition and Knowledge of the World: Mathematics

COUNTING AND CARDINALITY 

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    Know number names and the count sequence 

    1. 1

      Counts to 20PK.MATH.1

    2. 2

      Represents a number of objects (0-5), with a written numeral 0-5 (with 0 representing a count of no objects)PK.MATH.2

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    Counts to tell the number of objects

    1. 3

      Understands the relationship between numbers and quantities to 10, connects counting to cardinality PK.MATH.3

      1. a

        When counting objects, says the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object. (1:1 correspondence) PK.MATH.3a

      2. b

        Explores and develops the concept that the last number name said tells the number of objects counted, (cardinality). The number of objects is the same regardless of their arrangement or the order in which they were counted.PK.MATH.3b

    2. 4

      PK.MATH.4

      1. a

        Answers counting questions using as many as 10 objects arranged in a line, a rectangular array, and a circle. Answers counting questions using as many as 5 objects in a scattered configuration (e.g., how many ____ are there?”)PK.MATH.4a

      2. b

        Given a number from 1-10, counts out that many objectsPK.MATH.4b

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    Compares numbers

    1. 6

      Recognizes whether the number of objects in one group is more than, fewer than, or equal to (the same as) the number of objects in another group (e.g., using matching and counting strategies PK.MATH.6

    2. 7

       Identifies first and last related to order or positionPK.MATH.7

OPERATIONS AND ALGEBRAIC THINKING

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    Understands addition as adding to, and understand subtraction as taking from

    1. 8

      Explores addition and subtraction by using objects, fngers, and responding to real world situations (e.g., if we have 3 apples and add 2 more, how many apples do we have all together?)PK.MATH.8

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    Understands simple patterns

    1. 9

      Duplicates and extends simple patterns using concrete objects (e.g., what comes next?)PK.MATH.9

MEASUREMENT AND DATA

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    Describes and compares measurable attributes

    1. 10

      Identifies measurable attributes of objects, such as length or weight, and describes them using appropriate vocabulary (e.g., small, big, short, tall, empty, full, heavy, light) PK.MATH.10

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    Sorts objects and counts the number of objects in each category

    1. 11

      Sorts objects and shapes into categories; counts the objects in each category.PK.MATH.11

GEOMETRY

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    Identifies and describes shapes (squares, circles, triangles and rectangles) 

    1. 12

      Describes objects in the environment using names of shapes and describes the relative positions of these objects using terms such as top, bottom, up, down, above, below, in front of, behind, over, under, next toPK.MATH.12

    2. 13

      Names shapes regardless of sizePK.MATH.13

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    Explores and creates two and three-dimensional objects

    1. 14

      Explores two-and three-dimensional objects and uses informal language to describe their similarities, differences, and other attributesPK.MATH.14

    2. 15

      Creates and builds shapes from components (e.g., sticks, blocks, clay)PK.MATH.15

Frequently asked questions

What grade levels do these standards cover?
PRE-K