比例推理词汇

知道并能在解决问题中准确运用乘法推理的高级词汇——正比例、反比例、比、比率、单位比率、复合单位、比例因子。

Know and use advanced vocabulary of multiplicative reasoning — direct proportion, inverse proportion, ratio, rate, unit rate, compound unit, scale factor — accurately in problem-solving contexts

学习证据 / Evidence

• 能结合现实生活中的例子区分“正比例”和“反比例”。
• 能正确使用“比率”“速度”和“密度”，并解释这些量用什么单位来度量。
• 能使用复合单位进行计算，例如计算一辆汽车在2小时内行驶120英里时的速度。

• Distinguish between 'direct proportion' and 'inverse proportion' with real-world examples
• Use 'rate', 'speed', and 'density' correctly and explain what units they are measured in
• Calculate using compound measures — e.g. work out the speed of a car that travels 120 miles in 2 hours

评估问题 / Assessment

如果 {{name}} 正在解决一个关于速度或密度的问题，他们能否解释“复合单位”的含义，并说明正比例（一个量增多，另一个量也增多）和反比例（一个量增多，另一个量减少）之间的区别？

If {{name}} is solving a problem about speed or density, can they explain what 'compound unit' means and tell the difference between direct proportion (more of one means more of the other) and inverse proportion (more of one means less of the other)?