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ACARA AC9M8N01, Irrational numbers

Year 8 Β· Number

Recognise irrational numbers in real contexts, including square roots and pi.

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Teaching guide

What students learn

Recognise irrational numbers in real contexts, including square roots and pi.

How to teach it

Contrast rationals (which stop or repeat as decimals) with irrationals such as the square root of 2 and pi (which run on without repeating), placing examples on a number line.

Watch out for

Thinking a rounded decimal for pi is its exact value, and assuming every square root is irrational.

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More Year 8 Number codes: AC9M8N02 Β· AC9M8N03 Β· AC9M8N04 Β· AC9M8N05
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Australian Curriculum content descriptions (c) ACARA, used under CC BY 4.0. Descriptions are paraphrased. See australiancurriculum.edu.au.