ACARA AC9M9N01, The real number system

Year 9 · Number

Recognise that the real numbers are made up of the rational and irrational numbers, and solve problems with real numbers using digital tools.

Below are free printable maths worksheets that support AC9M9N01. 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

Recognise that the real numbers are made up of the rational and irrational numbers, and solve problems with real numbers using digital tools.

How to teach it

Map out the real number system: whole numbers inside integers inside rationals, with the irrationals filling the gaps, and solve real-number problems with digital tools.

Worked example

Simplify: 2^4 x 2^4 (write as 2^?)

Answer: 2^8

Why: 2^(4+4) = 2^8

Generated and checked in code, so it is correct.

Watch out for

Believing a calculator display is the exact value of an irrational number, and misplacing negatives or surds on a number line.

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Grade 9 Number

Set A · PDF · answer key with Pro

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Australian Curriculum content descriptions (c) ACARA, used under CC BY 4.0. Descriptions are paraphrased. See australiancurriculum.edu.au.