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How Many in Total?

CONCEPTUAL
MathematicsCounting & Cardinality|Ages 4—6|ID: mt_dmNvjroCPT

Cardinality principle: the last number said when counting a set tells how many objects are in the set, regardless of arrangement or order counted

Mastery Evidence

  • After counting a set, answer 'how many?' with the last number stated
  • Understand that rearranging objects does not change the count
  • Understand that counting in a different order gives the same total

Assessment Prompt

“If [child] counts out 7 toy cars and you ask "so how many cars are there?", do they say "7" straight away — or do they count them all again from the start?”

Curriculum Standards2 alignments

K.CC.4Common Core State Standards for Mathematics
Relationship Between Numbers and Quantities

Understand the relationship between numbers and quantities; connect counting to cardinality.

Counting and Cardinality
K.CC.4.bCommon Core State Standards for Mathematics
Last Number Represents Quantity

Understand that the last number name said tells the number of objects counted. The number of objects is the same regardless of their arrangement or the order in which they were counted.

Counting and Cardinality

Prerequisites1

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  • One-to-one counting hard

    Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'