What students learn in AC9M10M02
This unit helps students build a clear, usable understanding of Interpret and use logarithmic scales in applied contexts involving small.... 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: interpret and use logarithmic scales in applied contexts involving small and large quantities and change.
- Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
- understanding that the logarithmic scale is calibrated in terms of order of magnitude; for example, doubling or powers of 10 identifying and interpreting data representations (charts and graphs) that use logarithmic scales and discussing when it is appropriate to use this type of scale and when it is not appropriate; for example, graphs representing percentage change, a wide range of values or exponential growth
- 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: interpret and use logarithmic scales in applied contexts involving small and large quantities and change
- E1: understanding that the logarithmic scale is calibrated in terms of order of magnitude; for example, doubling or powers of 10
- E2: identifying and interpreting data representations (charts and graphs) that use logarithmic scales and discussing when it is appropriate to use this type of scale and when it is not appropriate; for example, graphs representing percentage change, a wide range of values or exponential growth
- E3: investigating and interpreting logarithmic scales used in real-world contexts; for example, Richter, decibel and sensitivity scales or growth in investments, timescales and the spread of micro-organisms and disease and describing reasons for choosing to use a logarithmic scale rather than a linear scale
- E4: investigating how logarithmic scaling can be used in machine learning algorithms to compress large values while preserving small ones, allowing the algorithms to efficiently work on problems with a wide range of values
- E5: investigating dating methods of geological sites to provide evidence of First Peoples of Australia’s human presence in Australia, including the Madjedbebe dig in the Northern Territory, that use logarithmic scales (scientific notation) and measurement accuracy in the dating
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
AC9M10M02 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 | AC9M10M02 — interpret and use logarithmic scales in applied contexts involving small and large quantities and change |
| Victoria | Victorian Curriculum F-10 | Year 10 Maths: closest match in Measurement. Use this page as a VIC-aligned practice and worksheet reference. |
| NSW | NSW Curriculum | Stage 5 Maths: closest content focus for Interpret and use logarithmic scales in applied contexts involving small... and related outcomes. |
| United States | Common Core / NGSS | Grade 10 Common Core Mathematics/ELA closest topic match for Interpret and use logarithmic scales in applied contexts involving small.... |
| England / UK | National Curriculum | Key Stage 4 / Year 10: closest programme-of-study match for Interpret and use logarithmic scales in applied contexts involving small.... |
| Canada | Provincial and territory curricula | Grade 10 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 5 Maths: closest achievement-objective topic for Interpret and use logarithmic scales in applied contexts involving small.... |
| India | NCERT / CBSE | Class 10 closest NCERT/CBSE topic match for Interpret and use logarithmic scales in applied contexts involving small.... |