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Mathematics·Algebra·procedural

Systematic Listing

Enumerate possibilities of combinations of two variables systematically (e.g. all ways to choose from a set of options)

Suggested ages 10–11

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Learning journey

Your child is beginning to work with algebra — using letters to represent unknown numbers, creating and following rules for number patterns, and translating word problems into mathematical equations.

Evidence of understanding

  • List all possible meal combinations from 3 starters and 4 mains
  • Organise combinations into a systematic table to ensure none are missed
  • Explain why the total number of combinations equals the product of the options in each category

Assessment prompt

If Systematic Listing can choose any combination of 3 T-shirt colours and 2 trouser colours, can they list every possible outfit without missing any or repeating?

Standards alignment

No external standards are linked to this topic.