What students learn in AC9MFN04
This unit helps students build a clear, usable understanding of Partition and combine collections up to 10 using part-part-whole relationships.... The goal is not to memorise one answer pattern. Students should be able to explain the idea, recognise it in a new example and apply it in a short practice or worksheet task.
- Start with the main idea: partition and combine collections up to 10 using part-part-whole relationships and subitising to recognise and name the parts.
- Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
- recognising numbers represented in physical or virtual ten-frames, and describing their reasoning: “It’s 7 because there is 5 there and 2 more” partitioning collections of up to 10 objects in different ways and saying the part-part-whole relationship; for example, partitioning a collection of 6 counters into 4 counters and 2 counters and saying, “6 is 4 and 2 more, it’s 2 and 4”, then partitioning the same collection into 5 and one or 3 and 3
- Finish with mixed questions so students must choose the correct strategy rather than copy the last example.
Curriculum coverage and elaborations
The content description and elaborations below show the curriculum ideas taught in this unit. Items marked as teaching context support lesson planning but may not appear in the initial eight-question activity.
- Content description: partition and combine collections up to 10 using part-part-whole relationships and subitising to recognise and name the parts
- E1: recognising numbers represented in physical or virtual ten-frames, and describing their reasoning: “It’s 7 because there is 5 there and 2 more”
- E2: partitioning collections of up to 10 objects in different ways and saying the part-part-whole relationship; for example, partitioning a collection of 6 counters into 4 counters and 2 counters and saying, “6 is 4 and 2 more, it’s 2 and 4”, then partitioning the same collection into 5 and one or 3 and 3
- E3: representing part-part-whole relationships in numbers up to 10 using physical or virtual materials; for example, identifying numbers represented by dots in standard number configurations such as dominos and dice by recognising parts that form the whole
- E4: exploring number groupings in First Nations Australians’ counting systems and the different ways of representing these groupings to form and partition numbers, applying this to quantify collections of objects in the environment on Country/Place up to 10 (teaching context)
How to use this unit
Read the topic guide, use the teacher slide for instruction, then complete the Worksheet, Practice and Test. These three activities use the same eight-question unit bank.
Teacher resource
AC9MFN04 teacher slide
Use this one-page PDF to introduce the key idea, vocabulary and teaching sequence before students begin the activities.
Open teacher slide (PDF)Common mistakes to watch for
- Rushing to a rule before checking the concrete model, drawing or number sentence.
- Using the correct answer once but not being able to explain why it works.
- Mixing up similar vocabulary such as more/less, before/after, longer/shorter or equal groups/sharing.
International curriculum mapping
This table gives closest-topic mapping for search and planning. The Australian Curriculum code is exact; overseas entries are broad equivalents because each jurisdiction structures outcomes differently.
| Region | Curriculum | Closest mapping |
|---|---|---|
| Australia | Australian Curriculum v9.0 | AC9MFN04 — partition and combine collections up to 10 using part-part-whole relationships and subitising to recognise and name the parts |
| Victoria | Victorian Curriculum F-10 | Foundation Maths: closest match in Number. Use this page as a VIC-aligned practice and worksheet reference. |
| NSW | NSW Curriculum | Early Stage 1 Maths: closest content focus for Partition and combine collections up to 10 using part-part-whole relationships... and related outcomes. |
| United States | Common Core / NGSS | Kindergarten Common Core Mathematics/ELA closest topic match for Partition and combine collections up to 10 using part-part-whole relationships.... |
| England / UK | National Curriculum | Key Stage 1 / Year 1: closest programme-of-study match for Partition and combine collections up to 10 using part-part-whole relationships.... |
| Canada | Provincial and territory curricula | Kindergarten closest topic match. Canada varies by province, so use this as a broad Ontario/BC-style learning outcome reference. |
| New Zealand | New Zealand Curriculum | Level 1 Maths: closest achievement-objective topic for Partition and combine collections up to 10 using part-part-whole relationships.... |
| India | NCERT / CBSE | Kindergarten / Foundation closest NCERT/CBSE topic match for Partition and combine collections up to 10 using part-part-whole relationships.... |