What students learn in AC9M5N07
This unit helps students build a clear, usable understanding of Solve problems involving division, choosing efficient strategies and using digital.... 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: solve problems involving division, choosing efficient strategies and using digital tools where appropriate; interpret any remainder according to the context and express results as a whole number, decimal or fraction.
- Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
- interpreting and solving everyday division problems such as, “How many buses are needed if there are 436 passengers, and each bus carries 50 people?”, deciding whether to round up or down in order to accommodate the remainder and justifying choices solving division problems mentally like 72 divided by 9, 72 ÷ 9, by thinking, “how many 9s make 72”, ? \times 9 = 72 or “share 72 equally 9 ways”
- 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: solve problems involving division, choosing efficient strategies and using digital tools where appropriate; interpret any remainder according to the context and express results as a whole number, decimal or fraction
- E1: interpreting and solving everyday division problems such as, “How many buses are needed if there are 436 passengers, and each bus carries 50 people?”, deciding whether to round up or down in order to accommodate the remainder and justifying choices
- E2: solving division problems mentally like 72 divided by 9, 72 ÷ 9, by thinking, “how many 9s make 72”, ? \times 9 = 72 or “share 72 equally 9 ways”
- E3: using the fact that equivalent division calculations result if both numbers are divided by the same factor
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
AC9M5N07 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 | AC9M5N07 — solve problems involving division, choosing efficient strategies and using digital tools where appropriate; interpret any remainder according to the context and express results as a whole number, decimal or fraction |
| Victoria | Victorian Curriculum F-10 | Year 5 Maths: closest match in Number. Use this page as a VIC-aligned practice and worksheet reference. |
| NSW | NSW Curriculum | Stage 3 Maths: closest content focus for Solve problems involving division, choosing efficient strategies and using digital... and related outcomes. |
| United States | Common Core / NGSS | Grade 5 Common Core Mathematics/ELA closest topic match for Solve problems involving division, choosing efficient strategies and using digital.... |
| England / UK | National Curriculum | Key Stage 2 / Year 5: closest programme-of-study match for Solve problems involving division, choosing efficient strategies and using digital.... |
| Canada | Provincial and territory curricula | Grade 5 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 3 Maths: closest achievement-objective topic for Solve problems involving division, choosing efficient strategies and using digital.... |
| India | NCERT / CBSE | Class 5 closest NCERT/CBSE topic match for Solve problems involving division, choosing efficient strategies and using digital.... |