What students learn in AC9M7M02
This unit helps students build a clear, usable understanding of Solve problems involving the volume of right prisms including rectangular.... 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 of right prisms including rectangular and triangular prisms, using established formulas and appropriate units.
- Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
- building a rectangular prism out of unit cubes and showing that the measure of volume is the same as would be found by multiplying the 3 edge lengths or by multiplying the area of the base by the height/length developing the connection between the area of the parallel cross-section (base), the height and volume of a rectangular or triangular prism to other prisms
- 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 of right prisms including rectangular and triangular prisms, using established formulas and appropriate units
- E1: building a rectangular prism out of unit cubes and showing that the measure of volume is the same as would be found by multiplying the 3 edge lengths or by multiplying the area of the base by the height/length
- E2: developing the connection between the area of the parallel cross-section (base), the height and volume of a rectangular or triangular prism to other prisms
- E3: connecting the area of the floor space and the number of floors of a high-rise building to calculate the volume of a building
- E4: using dynamic geometry software, spatial reasoning and prediction to derive the formula for the volume of prisms
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
AC9M7M02 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 | AC9M7M02 — solve problems involving the volume of right prisms including rectangular and triangular prisms, using established formulas and appropriate units |
| Victoria | Victorian Curriculum F-10 | Year 7 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 of right prisms including rectangular... and related outcomes. |
| United States | Common Core / NGSS | Grade 7 Common Core Mathematics/ELA closest topic match for Solve problems involving the volume of right prisms including rectangular.... |
| England / UK | National Curriculum | Key Stage 3 / Year 7: closest programme-of-study match for Solve problems involving the volume of right prisms including rectangular.... |
| Canada | Provincial and territory curricula | Grade 7 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 of right prisms including rectangular.... |
| India | NCERT / CBSE | Class 7 closest NCERT/CBSE topic match for Solve problems involving the volume of right prisms including rectangular.... |