What students learn in AC9M6SP01
This unit helps students build a clear, usable understanding of The parallel cross-sections of objects and recognise their relationships to.... 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: compare the parallel cross-sections of objects and recognise their relationships to right prisms.
- Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
- using objects made of foam or polystyrene, slice along different cross-sections, and record the different shapes of faces that result; comparing cross-sections of different objects using different pieces of fruit, slicing across different cross-sections, drawing the cross-section; reporting back to the class the results of the investigation
- 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: compare the parallel cross-sections of objects and recognise their relationships to right prisms
- E1: using objects made of foam or polystyrene, slice along different cross-sections, and record the different shapes of faces that result; comparing cross-sections of different objects
- E2: using different pieces of fruit, slicing across different cross-sections, drawing the cross-section; reporting back to the class the results of the investigation
- E3: observing and drawing the shapes resulting from different ways of slicing through familiar objects; for example, slicing carrots at different angles or cutting through playdough models of objects; using playdough models, fruit or similar to establish which objects can be cut in such a way that the cross-section will always be the same shape
- E4: understanding that right prisms are objects where parallel cross-sections to the base of the prism are the same shape and size
- E5: connecting different right prisms to the shape of their parallel cross-sections, such as a triangular prism which can be described as a stack of the same sized triangles, and a cube or square prism, which can be described as a stack of the same sized squares
- E6: investigating the design of First Nations Australians’ dwellings, exploring the relationship between the cross-sections and the dwellings’ construction (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
AC9M6SP01 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 | AC9M6SP01 — compare the parallel cross-sections of objects and recognise their relationships to right prisms |
| Victoria | Victorian Curriculum F-10 | Year 6 Maths: closest match in Space. Use this page as a VIC-aligned practice and worksheet reference. |
| NSW | NSW Curriculum | Stage 3 Maths: closest content focus for The parallel cross-sections of objects and recognise their relationships to... and related outcomes. |
| United States | Common Core / NGSS | Grade 6 Common Core Mathematics/ELA closest topic match for The parallel cross-sections of objects and recognise their relationships to.... |
| England / UK | National Curriculum | Key Stage 2 / Year 6: closest programme-of-study match for The parallel cross-sections of objects and recognise their relationships to.... |
| Canada | Provincial and territory curricula | Grade 6 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 The parallel cross-sections of objects and recognise their relationships to.... |
| India | NCERT / CBSE | Class 6 closest NCERT/CBSE topic match for The parallel cross-sections of objects and recognise their relationships to.... |