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Mathematics·Counting & Cardinality·conceptual

How Many in Total?

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

Suggested ages 4–6

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Evidence of understanding

  • 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 How Many in Total? 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?

Standards alignment

K.CC.4US · ccss-math

Relationship Between Numbers and Quantities

Common Core State Standards for Mathematics · K

K.CC.4.bUS · ccss-math

Last Number Represents Quantity

Common Core State Standards for Mathematics · K