What students learn in AC9M8M02
This unit helps students build a clear, usable understanding of Solve problems involving the volume and capacity of right prisms.... 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 the volume and capacity of right prisms using appropriate units.
- Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
- using models to demonstrate the number of cubic centimetres in a cubic metre and relating this to capacities of millilitres and litres, recognising that one millilitre is equivalent to one cm^3 solving practical problems involving volume and capacity; for example, optimal packaging and production
- 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 the volume and capacity of right prisms using appropriate units
- E1: using models to demonstrate the number of cubic centimetres in a cubic metre and relating this to capacities of millilitres and litres, recognising that one millilitre is equivalent to one cm^3
- E2: solving practical problems involving volume and capacity; for example, optimal packaging and production
- E3: choosing which measurements are useful to consider when solving practical problems in context; for example, when purchasing a new washing machine, the dimensions are useful when determining whether it will fit in the available space in the laundry and its capacity is useful when considering the maximum washing load it can carry
- E4: investigating, reasoning and finding solutions to measurement problems involving dimensions, rates, volume and capacity of objects; for example, given the dimensions of a pool and the rate of flow from a tap, determining how long it will take to fill the pool to its normal capacity
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
AC9M8M02 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 | AC9M8M02 — solve problems involving the volume and capacity of right prisms using appropriate units |
| Victoria | Victorian Curriculum F-10 | Year 8 Maths: closest match in Measurement. Use this page as a VIC-aligned practice and worksheet reference. |
| NSW | NSW Curriculum | Stage 4 Maths: closest content focus for Solve problems involving the volume and capacity of right prisms... and related outcomes. |
| United States | Common Core / NGSS | Grade 8 Common Core Mathematics/ELA closest topic match for Solve problems involving the volume and capacity of right prisms.... |
| England / UK | National Curriculum | Key Stage 3 / Year 8: closest programme-of-study match for Solve problems involving the volume and capacity of right prisms.... |
| Canada | Provincial and territory curricula | Grade 8 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 4 Maths: closest achievement-objective topic for Solve problems involving the volume and capacity of right prisms.... |
| India | NCERT / CBSE | Class 8 closest NCERT/CBSE topic match for Solve problems involving the volume and capacity of right prisms.... |