📚 Key Assessment Points for Practical Investigations in Year 7 SQA Maths | Year 7 SQA 数学：实验/实践考核要点
Practical investigations are a vital part of Year 7 SQA Maths, helping you apply mathematical concepts to real-world problems. Whether you are measuring lengths, collecting survey data, or testing a hypothesis, you need to demonstrate careful planning, accurate recording, and clear communication. Understanding what examiners look for can boost your confidence and help you achieve higher marks in these hands-on assessments.
实践探究是Year 7 SQA数学的重要组成部分，它能帮助你将数学概念应用于现实问题。无论是测量长度、收集调查数据还是检验假设，你都需要展现出周密的计划、准确的记录和清晰的表达。了解考官关注的重点，可以增强你的信心，并在这些动手考核中获得更高的分数。
1. Understanding the Practical Task | 理解实践任务
Read the task brief carefully. Identify the aim, the variables involved, and any specific instructions. Clarify what you need to find out or prove. Underline keywords and check whether you need to design your own method or follow given steps.
仔细阅读任务说明。明确目标、涉及的变量以及任何特别指示。弄清楚你需要查明或证明什么。划出关键词，并确认是需要自己设计方法还是遵循给定的步骤。
If you are unsure about any part of the task, ask your teacher for clarification before starting. It is better to spend a few minutes understanding the task than to waste time on the wrong approach.
如果你对任务的任何部分不确定，开始前先向老师询问清楚。花几分钟理解任务远比用错误的方法浪费时间要好。
2. Planning Your Approach | 规划你的方法
Before you begin collecting data, draft a simple plan. Decide what equipment you need, how you will measure, and how many trials or samples you will take. A clear plan helps you stay organised and avoid missing important steps.
在开始收集数据之前，草拟一份简单的计划。决定你需要什么器材、如何测量以及要进行的试验或样本数量。清晰的计划有助于你保持条理，避免遗漏重要步骤。
Consider any safety precautions if you are using measuring tools or conducting physical activities. Write down your plan in a logical order so someone else could follow it.
如果使用测量工具或进行体力活动，要考虑所有安全预防措施。将你的计划按逻辑顺序写下来，让别人也能看懂并执行。
3. Collecting Data Effectively | 有效收集数据
When collecting data, aim for accuracy and consistency. Use appropriate instruments, such as rulers, stopwatches, or measuring cylinders. Record data immediately in a neat table or on a tally chart to prevent forgetting values.
收集数据时，力求准确和一致。使用合适的工具，如直尺、秒表或量筒。将数据立即记录在整洁的表格或计分表中，以免忘记数值。
If you are conducting a survey, ensure your sample is fair and relevant. For example, if you are investigating hand spans, measure a range of people, not just your friends.
如果进行调查，确保样本公平且有代表性。例如，如果你研究手的一拃长度，要测量不同的人，而不仅仅是你的朋友。
4. Measuring with Precision | 精确测量
Learn to read scales correctly. For length, align the zero mark with the starting point and read to the nearest millimetre if possible. For mass, check that the balance reads zero before weighing. Record units clearly (e.g., cm, g, ml). Use estimation to check if your measurements are reasonable.
学会正确读取刻度。测量长度时，将零刻度对准起点，尽可能读取到最接近的毫米。称质量时，称重前检查天平是否归零。清楚记录单位（如 cm、g、ml）。用估算来检查你的测量值是否合理。
Repeat measurements where it makes sense, such as timing a pendulum swing or measuring a desk’s length. Repeated values help you spot mistakes and calculate an average. The mean can be found using:
在合适的时候重复测量，比如计时摆的摆动或测量课桌长度。重复测量值有助于发现错误，并计算平均值。平均值可以用以下公式求出：
Mean = sum of all values ÷ number of values
5. Organising and Recording Data | 整理与记录数据
Always present your raw data in a structured way. Use a table with clear headings, including units in the heading or in a separate column. For example, a frequency table might have columns: ‘Height (cm)’, ‘Tally’, ‘Frequency’.
始终以结构化的方式展示原始数据。使用标题清晰的表格，在标题或单独一列中包含单位。例如，一个频率表可能有以下列：”身高 (cm)”、”计分”、”频数”。
| Height (cm) | Tally | Frequency |
| 140 – 149 | |||| | 4 |
| 150 – 159 | |||| || | 7 |
Make sure your table is neat and easy to read. Draw lines with a ruler if doing it by hand, or use spreadsheet software for digital work. Never scribble out a mistake; instead, put a single line through the error and write the correct value next to it.
确保你的表格整洁易读。如果手绘，用直尺画线；如果使用数字工具，可以用电子表格软件。不要乱涂错误；而是用一条线划掉错误，在旁边写上正确数值。
6. Creating Tables and Charts | 创建表格与图表
Choose the right type of diagram or chart for your data. Bar charts are excellent for comparing categories, while line graphs are used to show trends over time. Pie charts display proportions. Always label your axes and give your chart a title.
选择适合你数据的图表类型。条形图适合比较类别，折线图用来显示随时间变化的趋势。饼图展示比例关系。始终标注坐标轴并给图表加上标题。
Use appropriate scales. For bar charts, the frequency axis should start at 0 and go up in equal steps. If you draw a line graph, plot points carefully and join them with straight lines or a smooth curve, depending on the type of data.
使用合适的刻度。对于条形图，频数轴要从0开始，以等间距递增。如果绘制折线图，仔细描点，然后根据数据类型用直线或平滑曲线连接。
7. Drawing Statistical Graphs | 绘制统计图
A well-drawn graph can reveal patterns instantly. When drawing a bar chart, make bars of equal width with gaps between them. For a line graph, mark each data point with a small cross (×) and join them in order.
绘制得当的图表能即刻揭示规律。画条形图时，柱宽相等，柱间有间隔。画折线图时，用小十字标记每个数据点，并按顺序连接。
Check that the scale on each axis is uniform and clearly numbered. The independent variable (what you change) usually goes on the horizontal axis, and the dependent variable (what you measure) on the vertical axis.
检查每个坐标轴的刻度是否均匀且数字清晰。自变量（你改变的变量）通常放在横轴上，因变量（你测量的变量）放在纵轴上。
8. Analysing Results and Identifying Patterns | 分析结果与识别模式
Once you have your graphs and tables, look for patterns, trends, or anomalies. Describe what the data shows using words like “increase”, “decrease”, “steady”, or “peak”. If you have numerical data, compare values and calculate differences or ratios.
得到图表后，找出规律、趋势或异常值。用”增加”、”减少”、”稳定”或”峰值”等词语描述数据所显示的信息。如果有数值数据，比较数值并计算差值或比率。
Use the mean, median, mode, and range to summarise your data set. The mean tells you the average value, while the range indicates how spread out the data are. Identify any outliers that do not fit the pattern and consider why they occurred.
使用平均数、中位数、众数和极差来概括你的数据集。平均值告诉你典型数值，而极差显示数据的分散程度。识别任何不符合规律的异常值，并思考它们出现的原因。
9. Drawing Conclusions | 得出结论
Your conclusion should directly answer the original question or aim. Refer back to your hypothesis and state whether the evidence supports it or not. Avoid making sweeping claims; base your conclusion strictly on the data you collected.
你的结论应直接回答最初的问题或目标。回顾你的假设，并说明证据是否支持它。避免做出笼统的断言；严格基于你所收集的数据得出结论。
If your results are unexpected, suggest possible reasons, but do not invent explanations. Acknowledge limitations in your method or sample size. This shows critical thinking and earns higher marks.
如果你的结果出人意料，可以提出可能的原因，但不要凭空编造解释。承认你的方法或样本量的局限性。这展示了批判性思维，并能获得更高的分数。
10. Evaluating the Investigation | 评估调查过程
Reflect on the investigation process. What worked well? What difficulties did you encounter, and how did you overcome them? Could you have improved the accuracy of your measurements? Evaluations show that you are thinking like a mathematician.
反思调查过程。哪些地方做得好？你遇到了什么困难，又是如何克服的？你是否可以提高测量的准确性？评估表明你像数学家一样思考。
Consider the reliability of your data. Did
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