What students learn in AC9M6N02
This unit helps students build a clear, usable understanding of And describe the properties of prime, composite and square numbers.... 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: identify and describe the properties of prime, composite and square numbers and use these properties to solve problems and simplify calculations.
- Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
- using the definition of a prime number to explain why one is not a prime number testing numbers by using division to distinguish between prime and composite numbers, recording the results on a number chart to identify any patterns
- 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: identify and describe the properties of prime, composite and square numbers and use these properties to solve problems and simplify calculations
- E1: using the definition of a prime number to explain why one is not a prime number
- E2: testing numbers by using division to distinguish between prime and composite numbers, recording the results on a number chart to identify any patterns
- E3: representing composite numbers as a product of their factors, including prime factors when necessary and using this form to simplify calculations involving multiplication such as 15 \times 16 as 5 \times 3 \times 4 \times 4 which can be rearranged to simplify calculation to 5 \times 4 \times 3 \times 4 = 20 \times 12
- E4: identifying and describing the product of a number with itself as square; for example, 3 \times 3 is the same as 3^2
- E5: using spreadsheets to list all the numbers that have up to 3 factors, using combinations of only the first 3 prime numbers, recognise any emerging patterns, making conjectures and experimenting with other combinations
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
AC9M6N02 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 | AC9M6N02 — identify and describe the properties of prime, composite and square numbers and use these properties to solve problems and simplify calculations |
| Victoria | Victorian Curriculum F-10 | Year 6 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 And describe the properties of prime, composite and square numbers... and related outcomes. |
| United States | Common Core / NGSS | Grade 6 Common Core Mathematics/ELA closest topic match for And describe the properties of prime, composite and square numbers.... |
| England / UK | National Curriculum | Key Stage 2 / Year 6: closest programme-of-study match for And describe the properties of prime, composite and square numbers.... |
| 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 And describe the properties of prime, composite and square numbers.... |
| India | NCERT / CBSE | Class 6 closest NCERT/CBSE topic match for And describe the properties of prime, composite and square numbers.... |