Mathematics
Mathematical Thinking
Meta
10–11 yrs
Generalising with repeated reasoning
通过重复推理归纳规律
Description
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
Mastery Evidence
- 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
Assessment Prompt
When your child 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?
