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ACARA AC9M10M02, Logarithmic scales

Year 10 Β· Measurement

Interpret and use logarithmic scales in real contexts that span very small and very large quantities and change.

Below are free printable maths worksheets that support AC9M10M02. Print them as PDFs, or generate a fresh one. Every maths answer key is computed in code, so it is never wrong.

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Deliver a whole lesson on AC9M10M02 from a textbook-grade teaching unit, with a hook, worked examples, diagrams, misconceptions, and an exit ticket.

Teaching guide

What students learn

Interpret and use logarithmic scales in real contexts that span very small and very large quantities and change.

How to teach it

Use a logarithmic scale for quantities that span many orders of magnitude (sound, earthquakes, pH), reading each step as a multiply rather than an add.

Worked example
Write 8,000,000,000 in scientific notation.
Answer: 8 x 10^9
Why: Move the decimal point 9 places: 8 x 10^9

Generated and checked in code, so it is correct.

Watch out for

Reading a log scale as if the steps were equal amounts instead of equal multiples.

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More Year 10 Measurement codes: AC9M10M01 Β· AC9M10M03 Β· AC9M10M04 Β· AC9M10M05
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Australian Curriculum content descriptions (c) ACARA, used under CC BY 4.0. Descriptions are paraphrased. See australiancurriculum.edu.au.