Learning About the World

Mathematics


Number Sense, Quantity, and Counting -- Counting and Cardinality

Goal 1: Children count in sequence and by multiples, represent numerals, connect counting to cardinality, and compare quantities.

By the end of each age group or grade level, most children will have met prior age group or grade level standards in this domain.

Infants Through Older Toddlers

Infants

(0-12 Months)

  1. No standards in this age group for this Element.

Young Toddlers

(9-18 Months)

  1. No standards in this age group for this Element.

Older Toddlers

(18-36 Months)

  1. No standards in this age group for this Element.
Younger Preschoolers Through Kindergartners

Younger Preschoolers

(36-48 months)

  1. No standards in this age group for this Element.

Older Preschoolers

(48-60 months)

  1. No standards in this age group for this Element.

Kindergartners

Know number names and the count sequence.

  1. Count to 100 by ones and by tens.
  2. Count forward beginning from a given number within the known sequence (instead of having to begin at 1).
  3. Write numbers from 0 to 20. Represent a number of objects with a written numeral 0-20 (with 0 representing a count of no objects).

Count to tell the number of objects.

  1. Understand the relationship between numbers and quantities; connect counting to cardinality.
  2. Count to answer “how many?” questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in a scattered configuration; given a number from 1–20, count out that many objects

Compare numbers.

  1. Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies.
  2. Compare two numbers between 1 and 10 presented as written numerals.
First Graders Through Third Graders

First Graders

  1. No Standards in this Element. Counting & Cardinality Standards in Kindergarten build towards Operations and Algebraic Thinking

Second Graders

  1. No Standards in this Element. Counting & Cardinality Standards in Kindergarten build towards Operations and Algebraic Thinking

Third Graders

  1. No Standards in this Element. Counting & Cardinality Standards in Kindergarten build towards Operations and Algebraic Thinking

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Secretary Daniel M. French
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Barre, VT 05641

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