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
Typical age: 4–6 years
“If your 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?”
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- Reading and writing numbers to 20REQUIRED
Reading/writing numerals 0–20 requires understanding that numerals represent quantities (cardinality)
- Sorting & Categorising Words
Sorting and categorising objects uses the same counting/cardinality skills from maths
- Addition as combining or putting together twoREQUIRED
Understanding addition as combining groups requires knowing numbers represent quantities (cardinality)
- Representing numbers with objectsREQUIRED
Representing numbers with objects/pictures/number line requires understanding that numbers represent quantities
- One More Each TimeREQUIRED
Understanding 'one more/one less' requires understanding that each number represents a quantity (cardinality)
- Making Sense of Problems
Problem sense-making at 5-6 requires cardinality understanding to make sense of 'how many' problems
- The teen numbersREQUIRED
Understanding tens-and-ones composition requires cardinality — knowing numbers represent quantities
- Sorting Data into Categories
Counting data in categories requires understanding cardinality
- Counting objects to 20REQUIRED
Answering 'how many?' requires the cardinality principle
- Subtraction as taking away or separatingREQUIRED
Understanding subtraction as taking away requires knowing numbers represent quantities (cardinality)