Systematic Listing
Enumerate possibilities of combinations of two variables systematically (e.g. all ways to choose from a set of options)
Teaching approaches
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Systematic listing finds every possible outcome without repeats. An organized table, tree, or fixed order helps prove the list is complete.
List all outcomes for a two-part choice, first informally and then with an organized method.
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Check 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
“If your child can choose any combination of 3 T-shirt colours and 2 trouser colours, can they list every possible outfit without missing any or repeating?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Algebra
- Age range
- Ages 10–11