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Division as equal sharing
CONCEPTUALUnderstand division as sharing equally into groups or as grouping (how many groups of a given size can be made)
Mastery Evidence
- Share 10 counters equally between 2 plates
- Group 12 objects into sets of 3 and count 4 groups
- Use concrete objects to solve 'How many groups of 2 in 8?'
Assessment Prompt
“If [child] has 12 grapes to share equally between 3 friends, can they work out that each friend gets 4 — and explain what they did?”
Curriculum Standards1 alignment
Maths/Y1/MD/1The national curriculum in EnglandSolve one-step multiplication and division problems
Solve one-step problems involving multiplication and division, by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher.
Mathematics · Key Stage 1
Prerequisites1
- Subtraction as taking away or separatinghardAges 4—6
Show full prerequisite tree
- Subtraction as taking away or separating hard
Division as equal sharing/grouping requires understanding subtraction as taking away/separating
- How Many in Total? hard
Understanding subtraction as taking away requires knowing numbers represent quantities (cardinality)
- 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'
Unlocks7
- Odd and even numbershardAges 6—7
- Fractions of amountssoftAges 6—7
- Arrays for multiplicationhardAges 5—6
- What Is a Half?hardAges 5—6
- What Division MeanshardAges 8—9
- Unit fractionssoftAges 7—8
- Reading ×, ÷, and = SymbolshardAges 6—7