What students learn in AC9M5N06
This unit helps students build a clear, usable understanding of Solve problems involving multiplication of larger numbers by one- or.... 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 multiplication of larger numbers by one- or two-digit numbers, choosing efficient calculation strategies and using digital tools where appropriate; check the reasonableness of answers.
- Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
- solving multiplication problems such as 253 \times 4 using a doubling strategy; for example, 2 \times 253 = 506 and 2 \times 506 = 1012 solving multiplication problems like 15 \times 16 by thinking of factors of both numbers, 15 = 3 \times 5, 16 = 2 \times 8; rearranging the factors to make the calculation easier, 5 \times 2 = 10, 3 \times 8 = 24 and 10 \times 24 = 240
- 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 multiplication of larger numbers by one- or two-digit numbers, choosing efficient calculation strategies and using digital tools where appropriate; check the reasonableness of answers
- E1: solving multiplication problems such as 253 \times 4 using a doubling strategy; for example, 2 \times 253 = 506 and 2 \times 506 = 1012
- E2: solving multiplication problems like 15 \times 16 by thinking of factors of both numbers, 15 = 3 \times 5, 16 = 2 \times 8; rearranging the factors to make the calculation easier, 5 \times 2 = 10, 3 \times 8 = 24 and 10 \times 24 = 240
- E3: using an array to show place value partitioning to solve multiplication, such as 324 \times 8, thinking 300 \times 8 = 2400, 20 \times 8 = 160, 4 \times 8 = 32 then adding the parts, 2400 + 160 + 32 = 2592 ; connecting the parts of the array to a standard written algorithm
- E4: using different strategies used to multiply numbers, explaining how they work and if they have any limitations; for example, discussing how the Japanese visual method for multiplication is not effective for multiplying larger numbers
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
AC9M5N06 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 | AC9M5N06 — solve problems involving multiplication of larger numbers by one- or two-digit numbers, choosing efficient calculation strategies and using digital tools where appropriate; check the reasonableness of answers |
| Victoria | Victorian Curriculum F-10 | Year 5 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 Solve problems involving multiplication of larger numbers by one- or... and related outcomes. |
| United States | Common Core / NGSS | Grade 5 Common Core Mathematics/ELA closest topic match for Solve problems involving multiplication of larger numbers by one- or.... |
| England / UK | National Curriculum | Key Stage 2 / Year 5: closest programme-of-study match for Solve problems involving multiplication of larger numbers by one- or.... |
| Canada | Provincial and territory curricula | Grade 5 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 Solve problems involving multiplication of larger numbers by one- or.... |
| India | NCERT / CBSE | Class 5 closest NCERT/CBSE topic match for Solve problems involving multiplication of larger numbers by one- or.... |