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How Many in Total?
CONCEPTUALCardinality 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 MathematicsRelationship 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 MathematicsLast 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
- One-to-one countinghardAges 4—6
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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'
Unlocks10
- Reading and writing numbers to 20hardAges 5—6
- Sorting & Categorising WordssoftAges 5—8
- Addition as combining or putting together twohardAges 4—6
- Representing numbers with objectshardAges 4—6
- One More Each TimehardAges 4—6
- Making Sense of ProblemssoftAges 5—6
- The teen numbershardAges 5—7
- Sorting Data into CategoriessoftAges 6—8
- Counting objects to 20hardAges 5—6
- Subtraction as taking away or separatinghardAges 4—6