What students learn in AC9M5N03
This unit helps students build a clear, usable understanding of And order fractions with the same and related denominators including.... 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 and order fractions with the same and related denominators including mixed numerals, applying knowledge of factors and multiples; represent these fractions on a number line.
- Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
- using pattern blocks to represent equivalent fractions; selecting one block or a combination of blocks to represent one whole, and making a design with shapes; recording the fractions to justify the total creating a fraction wall from paper tape to model and compare a range of different fractions with related denominators; using the model to play fraction wall games
- 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 and order fractions with the same and related denominators including mixed numerals, applying knowledge of factors and multiples; represent these fractions on a number line
- E1: using pattern blocks to represent equivalent fractions; selecting one block or a combination of blocks to represent one whole, and making a design with shapes; recording the fractions to justify the total
- E2: creating a fraction wall from paper tape to model and compare a range of different fractions with related denominators; using the model to play fraction wall games
- E3: connecting a fraction wall model and a number line model of fractions to say how they are the same and how they are different; for example, explaining \frac14 on a fraction wall represents the area of one-quarter of the whole while on the number line \frac14 is identified as a point that is one-quarter of the distance between zero and one
- E4: using an understanding of factors and multiples as well as equivalence to recognise efficient methods for the location of fractions with related denominators on parallel number lines; for example, explaining on parallel number lines that \frac2{10} is located at the same position on a parallel number line as \frac15 because \frac15 is equivalent to \frac2{10}
- E5: converting between mixed numerals and improper fractions to assist with locating them on a number line
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
AC9M5N03 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 | AC9M5N03 — compare and order fractions with the same and related denominators including mixed numerals, applying knowledge of factors and multiples; represent these fractions on a number line |
| 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 And order fractions with the same and related denominators including... and related outcomes. |
| United States | Common Core / NGSS | Grade 5 Common Core Mathematics/ELA closest topic match for And order fractions with the same and related denominators including.... |
| England / UK | National Curriculum | Key Stage 2 / Year 5: closest programme-of-study match for And order fractions with the same and related denominators including.... |
| 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 And order fractions with the same and related denominators including.... |
| India | NCERT / CBSE | Class 5 closest NCERT/CBSE topic match for And order fractions with the same and related denominators including.... |