乘法表(8岁及以上)
Times tables (age 8+)
识别并运用重复推理进行概括:扩展乘法表和等值分数中的规律,从已知事实高效推导未知事实,描述一般规律。
Recognise and use repeated reasoning to generalise: extend patterns in times tables and equivalent fractions, derive unknown facts from known facts efficiently, describe general rules
学习证据 / Evidence
- 注意到所有与1/2相等的分数,其分子都是分母的一半。
- 利用3×4=12、3×40=120、3×400=1200的规律,并解释其中的一般规律。
- 从8×5=40加上8×2=16推导出8×7,并把这一策略描述为通用方法。
- Notice that all fractions equivalent to 1/2 have a numerator that is half the denominator
- Use the pattern 3×4=12, 3×40=120, 3×400=1200 and explain the generalisation
- Derive 8×7 from 8×5=40 plus 8×2=16 and describe the strategy as a general approach
评估问题 / Assessment
当{{name}}注意到一个规律——比如乘以4就是连续翻倍两次——是否会利用这个规律更高效地解决类似问题?
When {{name}} notices a pattern — like that multiplying by 4 is the same as doubling twice — do they use that generalisation to solve similar problems more efficiently?