比例
Proportion
识别并解决涉及正比例和反比例的问题:正比例中一个量增加时,另一个量以固定速率增加;反比例中一个量增加时,另一个量减少。内容包括图形表示和代数表示。
Recognise and solve problems involving direct proportion (as one quantity increases, the other increases at a constant rate) and inverse proportion (as one increases, the other decreases), including graphical and algebraic representations
学习证据 / Evidence
- 判断现实世界中的关系是正比例还是反比例,并说明理由
- 建立并求解正比例方程(例如,4支笔花费6英镑,求10支笔的花费)
- 画出表示正比例(过原点的直线)和反比例(曲线)的图像
- Identify whether a real-world relationship is direct or inverse proportion and justify the choice
- Set up and solve a direct-proportion equation (e.g. if 4 pens cost £6, find the cost of 10)
- Sketch graphs showing direct proportion (straight line through origin) and inverse proportion (curve)
评估问题 / Assessment
{{name}}是否理解以相同速率一起增长的量(正比例)与一个量增加而另一个量减少的量(反比例)之间的区别——例如工人越多,完成一项工作所需的天数越少(反比例)?
Does {{name}} understand the difference between quantities that grow together at the same rate (direct proportion) and ones where one goes up as the other goes down — like more workers meaning fewer days to finish a job (inverse proportion)?