What students learn in AC9M3A03
This unit helps students build a clear, usable understanding of Recall and demonstrate proficiency with multiplication facts for 3, 4.... 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: recall and demonstrate proficiency with multiplication facts for 3, 4, 5 and 10; extend and apply facts to develop the related division facts.
- Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
- using concrete or virtual manipulatives, groups and repeated addition to recognise patterns and establish the 3, 4, 5 and 10 multiplication facts; ; using the language of “3 groups of 2 equals 6” to develop into “3 twos are 6” and extend to establish the 3 \times 10 multiplication facts and related division facts recognising that when they multiply a number by 5, the resulting number will either end in a 5 or a zero; using a calculator or spreadsheet to generate a list of the multiples of 5 to develop the multiplication and related division facts for fives
- 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: recall and demonstrate proficiency with multiplication facts for 3, 4, 5 and 10; extend and apply facts to develop the related division facts
- E1: using concrete or virtual manipulatives, groups and repeated addition to recognise patterns and establish the 3, 4, 5 and 10 multiplication facts; ; using the language of “3 groups of 2 equals 6” to develop into “3 twos are 6” and extend to establish the 3 \times 10 multiplication facts and related division facts
- E2: recognising that when they multiply a number by 5, the resulting number will either end in a 5 or a zero; using a calculator or spreadsheet to generate a list of the multiples of 5 to develop the multiplication and related division facts for fives
- E3: practising calculating and deriving multiplication facts for 3, 4, 5 and 10, explaining and recalling the patterns in them and using them to derive related division facts
- E4: systematically exploring algorithms used for repeated addition, comparing and describing what is happening, and using them to establish the multiplication facts for 3, 4, 5 and 10; for example, following the sequence of steps, the decisions being made and the resulting solution, recognising and generalising any emerging patterns
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
AC9M3A03 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 | AC9M3A03 — recall and demonstrate proficiency with multiplication facts for 3, 4, 5 and 10; extend and apply facts to develop the related division facts |
| Victoria | Victorian Curriculum F-10 | Year 3 Maths: closest match in Algebra. Use this page as a VIC-aligned practice and worksheet reference. |
| NSW | NSW Curriculum | Stage 2 Maths: closest content focus for Recall and demonstrate proficiency with multiplication facts for 3, 4... and related outcomes. |
| United States | Common Core / NGSS | Grade 3 Common Core Mathematics/ELA closest topic match for Recall and demonstrate proficiency with multiplication facts for 3, 4.... |
| England / UK | National Curriculum | Key Stage 2 / Year 3: closest programme-of-study match for Recall and demonstrate proficiency with multiplication facts for 3, 4.... |
| Canada | Provincial and territory curricula | Grade 3 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 2 Maths: closest achievement-objective topic for Recall and demonstrate proficiency with multiplication facts for 3, 4.... |
| India | NCERT / CBSE | Class 3 closest NCERT/CBSE topic match for Recall and demonstrate proficiency with multiplication facts for 3, 4.... |