What students learn in AC9M6N07
This unit helps students build a clear, usable understanding of Solve problems that require finding a familiar fraction, decimal 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 that require finding a familiar fraction, decimal or percentage of a quantity, including percentage discounts, choosing efficient calculation strategies and using digital tools where appropriate.
- Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
- explaining how \frac13 of a quantity can be achieved by dividing by 3, and how knowledge of \frac13 of a quantity can be used to find \frac23 or \frac43 of the same quantity using situations involving money, length, duration, mass or capacity investigating percentage discounts of 15%, 30% and 45% in an online toy sale, using their equivalent decimal representations of 0.15, 0.3 and 0.45 to calculate the amount of discount on sale items, with and without digital tools
- 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 that require finding a familiar fraction, decimal or percentage of a quantity, including percentage discounts, choosing efficient calculation strategies and using digital tools where appropriate
- E1: explaining how \frac13 of a quantity can be achieved by dividing by 3, and how knowledge of \frac13 of a quantity can be used to find \frac23 or \frac43 of the same quantity using situations involving money, length, duration, mass or capacity
- E2: investigating percentage discounts of 15%, 30% and 45% in an online toy sale, using their equivalent decimal representations of 0.15, 0.3 and 0.45 to calculate the amount of discount on sale items, with and without digital tools
- E3: linking percentages to their decimal equivalent of tenths and hundredths and using these to determine percentage discounts; for example, finding 30% discount by using its equivalence to 0.3, dividing by 10 and multiplying the result by 3 to give 30%
- E4: explaining the equivalence between percentages and fractions; for example, 33\frac13% and \frac13; keeping to percentages that are equivalent to fractions with small denominators such as 66\frac23% and 12.5%
- E5: representing a situation with a mathematical expression; for example, numbers and symbols such as \frac14\times24, that involve finding a familiar fraction or percentage of a quantity; using mental strategies or a calculator and explaining the result in terms of the situation in question
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
AC9M6N07 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 | AC9M6N07 — solve problems that require finding a familiar fraction, decimal or percentage of a quantity, including percentage discounts, choosing efficient calculation strategies and using digital tools where appropriate |
| 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 Solve problems that require finding a familiar fraction, decimal or... and related outcomes. |
| United States | Common Core / NGSS | Grade 6 Common Core Mathematics/ELA closest topic match for Solve problems that require finding a familiar fraction, decimal or.... |
| England / UK | National Curriculum | Key Stage 2 / Year 6: closest programme-of-study match for Solve problems that require finding a familiar fraction, decimal or.... |
| 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 Solve problems that require finding a familiar fraction, decimal or.... |
| India | NCERT / CBSE | Class 6 closest NCERT/CBSE topic match for Solve problems that require finding a familiar fraction, decimal or.... |