What students learn in AC9M4N03
This unit helps students build a clear, usable understanding of Find equivalent representations of fractions using related denominators and make.... 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: find equivalent representations of fractions using related denominators and make connections between fractions and decimal notation.
- Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
- extending fraction families within collections of materials; for example, by seeing \frac34 as 3 in each 4, showing this within related fractions like \frac68 or seeing that \frac25 means 2 in each 5 so it can be shown within \frac4{10} creating models of equivalent fractions by subdividing capacity measures into smaller fractions; for example, half a cup of flour could be shown as two-quarters or four-eighths of a cup of flour
- 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: find equivalent representations of fractions using related denominators and make connections between fractions and decimal notation
- E1: extending fraction families within collections of materials; for example, by seeing \frac34 as 3 in each 4, showing this within related fractions like \frac68 or seeing that \frac25 means 2 in each 5 so it can be shown within \frac4{10}
- E2: creating models of equivalent fractions by subdividing capacity measures into smaller fractions; for example, half a cup of flour could be shown as two-quarters or four-eighths of a cup of flour
- E3: folding paper to show equivalence between different fractions; for example, folding A4 paper in half and half again, repeating to form eighths and demonstrating that \frac48 = \frac24 = \frac12; folding paper strips into fifths and tenths, and recording as both fractions and decimals
- E4: identifying and using the connection between fractions of metres and decimals; for example, finding \frac14 of a metre and connecting this to 0.25 metres or 25 centimetres, or finding \frac1{10} of a metre and connecting this with 0.10 metres or 10 centimetres
- E5: using array diagrams to show the relationship between fractions and division and multiplication of natural numbers; for example, 3 \times 4 = 12, 12 ÷ 4 = 3, \frac14 of 12 is 3, \frac13 of 12 is 4
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
AC9M4N03 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 | AC9M4N03 — find equivalent representations of fractions using related denominators and make connections between fractions and decimal notation |
| Victoria | Victorian Curriculum F-10 | Year 4 Maths: closest match in Number. Use this page as a VIC-aligned practice and worksheet reference. |
| NSW | NSW Curriculum | Stage 2 Maths: closest content focus for Find equivalent representations of fractions using related denominators and make... and related outcomes. |
| United States | Common Core / NGSS | Grade 4 Common Core Mathematics/ELA closest topic match for Find equivalent representations of fractions using related denominators and make.... |
| England / UK | National Curriculum | Key Stage 2 / Year 4: closest programme-of-study match for Find equivalent representations of fractions using related denominators and make.... |
| Canada | Provincial and territory curricula | Grade 4 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 Find equivalent representations of fractions using related denominators and make.... |
| India | NCERT / CBSE | Class 4 closest NCERT/CBSE topic match for Find equivalent representations of fractions using related denominators and make.... |