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ACARA AC9M9M05, Model proportion and rates

Year 9 ยท Measurement

Use mathematical modelling for problems with direct proportion, rates, ratio and scale, then evaluate and report on the model.

Below are free printable maths worksheets that support AC9M9M05. Print them as PDFs, or generate a fresh one. Every maths answer key is computed in code, so it is never wrong.

Teaching guide

What students learn

Use mathematical modelling for problems with direct proportion, rates, ratio and scale, then evaluate and report on the model.

How to teach it

Read it twice, underline the question and the numbers, draw a bar model or picture, choose the operation, then check the answer makes sense.

Worked example
Leo had 7 apples and gave away 1. How many apples are left?
Answer: 6
Why: subtract: 7 โˆ’ 1 = 6

Generated and checked in code, so it is correct.

Watch out for

Grabbing the numbers and guessing the operation from a key word instead of the situation (e.g. 'more' does not always mean add).

Word Problems worksheets

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More Year 9 Measurement codes: AC9M9M01 ยท AC9M9M02 ยท AC9M9M03 ยท AC9M9M04
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Australian Curriculum content descriptions (c) ACARA, used under CC BY 4.0. Descriptions are paraphrased. See australiancurriculum.edu.au.