通过重复推理进行概括

识别并运用重复推理来进行概括：描述第n项的代数规则，利用运算性质进行化简，并用具体例子验证概括出的结论

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

学习证据 / Evidence

• 根据三角形、四边形、五边形的规律，解释n边形内角和为(n−2)×180°
• 通过识别并应用一般规律，预测线性数列的第20项
• 概括出：任意整数除以n，写成分数时分母都是n

• 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

评估问题 / Assessment

当{{name}}找到数列的规律时——比如“每次加7”或“把位置数乘以3”——他能利用这个规律直接求出任意一项，而不必把前面所有的项都列出来吗？

When {{name}} 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?