Generalising with repeated reasoning
Mathematics · Mathematical Thinking · meta
Recognise and use repeated reasoning to generalise: describe algebraic rules for nth terms, use properties of operations to simplify, and verify generalisations with specific cases
What mastery looks like
- Explain that the interior angle sum of an n-sided polygon is (n−2) × 180° based on the pattern for triangles, quadrilaterals, pentagons
- Predict the 20th term of a linear sequence by identifying and applying the general rule
- Generalise that dividing by n always gives a denominator of n in the fraction, for any whole numbers
Check your understanding
When Generalising with repeated reasoning finds the rule for a number sequence — like "add 7 each time" or "multiply the position number by 3" — can they use that rule to find any term without having to list all the ones before it?
Prerequisites
Required first
Helpful
Unlocks (0 directly)
None.