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ACARA AC9M10A04, Model growth and decay

Year 10 ยท Algebra

Use mathematical modelling with linear, quadratic or exponential models to solve growth and decay problems, then evaluate and report on the model.

Below are free printable maths worksheets that support AC9M10A04. 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 with linear, quadratic or exponential models to solve growth and decay problems, then evaluate and report on the model.

How to teach it

Build algebra from arithmetic: use a variable to stand for an unknown, write the situation as an expression or equation, then keep both sides balanced when solving and check by substituting the answer back in.

Worked example
3x = 21
Answer: x = 7
Why: Divide both sides by 3: x = 21 รท 3 = 7

Generated and checked in code, so it is correct.

Watch out for

Treating the equals sign as 'work it out' rather than 'both sides are equal', dropping negative signs, and not applying an operation to every term.

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More Year 10 Algebra codes: AC9M10A01 ยท AC9M10A02 ยท AC9M10A03 ยท AC9M10A05
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Australian Curriculum content descriptions (c) ACARA, used under CC BY 4.0. Descriptions are paraphrased. See australiancurriculum.edu.au.