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ACARA AC9M5A01, Growing patterns and rules

Year 5 · Algebra

Recognise and use rules that generate visually growing patterns and number patterns involving rational numbers.

Below are free printable maths worksheets that support AC9M5A01. Print them as PDFs, or generate a fresh one. Every maths answer key is computed in code, so it is never wrong.

Teach this code

Deliver a whole lesson on AC9M5A01 from a textbook-grade teaching unit, with a hook, worked examples, diagrams, misconceptions, and an exit ticket.

Teaching guide

What students learn

Recognise and use rules that generate visually growing patterns and number patterns involving rational numbers.

How to teach it

Identify the repeating unit or the rule (add 3, double), extend it, and describe it in words. Build growing patterns with materials.

Worked example
17, 23, 29, 35, ___
Answer: 41
Why: the rule is +6 each time

Generated and checked in code, so it is correct.

Watch out for

Noticing only the first step of a rule, or continuing by appearance rather than the underlying rule.

Patterns worksheets

All patterns worksheets →

Sets A-F are the same worksheet with different questions - print any (or all) for fresh practice.

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More Year 5 Algebra codes: AC9M5A02
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Australian Curriculum content descriptions (c) ACARA, used under CC BY 4.0. Descriptions are paraphrased. See australiancurriculum.edu.au.