Generalising Patterns
Mathematics · Mathematical Thinking · meta
Recognise and use repeated reasoning to generalise: spot calculation patterns, describe rules for sequences, and predict results using known mathematical facts
What mastery looks like
- Use a known doubles fact to derive a near-doubles answer (e.g. 6 + 7 = 6 + 6 + 1 = 13)
- Notice that subtracting 10 from any two-digit number always reduces the tens digit by 1
- Describe a rule for a pattern and use it to extend or predict (e.g. 'each time we add 5, the ones digit alternates between 0 and 5')
Check your understanding
When Generalising Patterns is practising times tables or number patterns, do they spot a shortcut — like "if 6 × 7 = 42, then 6 × 8 must be 48" — and use known facts to work out ones they haven't memorised yet?
Prerequisites
Required first
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