📚 Year 7 SQA Mathematics: Experimental/Practical Assessment Key Points | 七年级SQA数学：实验与实践考核要点
Experimental and practical assessments in the Year 7 SQA Mathematics framework are designed to move beyond routine calculations. They ask you to investigate a situation, collect and organise real data, and then use that data to find patterns or solve a problem. The process matters just as much as the final answer, and this article will walk you through the key points you need to master.
在七年级 SQA 数学框架中，实验与实践考核的目的不是单纯的公式运算。它要求你探究一个实际情境，收集并整理真实数据，然后用这些数据发现规律或解决问题。过程与最终答案同样重要，本文将带你逐一掌握你必须掌握的关键要点。
1. Understanding the Assessment Structure | 理解考核结构
An experimental task in Year 7 usually consists of three stages: planning, execution, and reporting. You might be asked to investigate a question like ‘How does the drop height affect the bounce height of a ball?’ and then submit a short report. The assessment criteria typically cover mathematical reasoning, data handling, and communication.
七年级的实验任务通常由三个阶段组成：计划、执行与报告。你可能会被要求探究“下落高度如何影响球的反弹高度？”这类问题，然后提交一份简短的报告。评分标准通常涵盖数学推理、数据处理和交流能力。
| Stage / 阶段 | What It Involves / 涉及内容 | Weighting / 比重 |
|---|---|---|
| Plan / 计划 | Choosing a question, predicting outcomes, deciding on data collection method | 20% |
| Do / 执行 | Collecting data accurately, recording measurements, using tools | 40% |
| Review / 报告 | Presenting findings, analysing patterns, evaluating the process | 40% |
Your teacher will look for clear evidence that you have followed a logical sequence and can explain your thinking. Marks are awarded not just for a correct result but for showing how you arrived at it.
你的老师会寻找清晰的证据，证明你遵循了逻辑顺序，并能解释自己的思路。得分点不仅在于正确的结果，还在于展示你是如何得出这一结果的。
2. Planning Your Investigation | 规划你的探究
Start by turning a general topic into a precise, measurable question. Instead of ‘Do heavier balls bounce higher?’, phrase it as ‘How does the mass of a ball (in grams) affect its rebound height (in cm) when dropped from 1 metre?’ A well-defined question makes data collection straightforward and your analysis meaningful.
首先，将宽泛的主题变成一个精确、可测量的问题。与其问“较重的球反弹高度更高吗？”，不如表述为“当从1米高处落下时，球的质量（克）如何影响其反弹高度（厘米）？”一个清晰定义的问题能让数据收集简单化，也让你的分析更有意义。
You then need to list the variables. Identify the independent variable (what you change — e.g., drop height), the dependent variable (what you measure — e.g., bounce height), and the control variables (what you keep the same — e.g., type of ball, surface, release method). Writing these down shows you understand the experiment’s design.
接着，你需要列出变量。确定自变量（你改变的——例如下落高度）、因变量（你测量的——例如反弹高度）以及控制变量（你保持不变的——例如球的种类、地面、释放方式）。把这些写下来，能表明你理解实验的设计。
3. Data Collection Techniques | 数据收集技巧
Reliability is the foundation of any practical maths investigation. Always repeat each measurement at least three times and calculate the mean. For example, if you measure the bounce height three times as 42 cm, 44 cm, and 43 cm, the average is (42+44+43) / 3 = 43 cm. This reduces the effect of random errors.
信度是任何实践数学探究的基础。每个测量量至少重复三次，然后计算平均值。例如，如果你三次测得反弹高度为42厘米、44厘米和43厘米，平均值就是 (42+44+43)/3 = 43厘米。这能减小随机误差的影响。
Use a clearly designed recording table from the start. Draw columns for the independent variable, each trial, the mean, and any observations. Keep units in the column headings, not next to every number. A tidy table saves time and prevents confusion when you later plot graphs.
从一开始就使用设计清晰的记录表。为自变量、每次试验值、平均值以及任何观察结果绘制表格。将单位写在表头，而不是每个数字旁边。整洁的表格在你稍后绘制图表时能节省时间并避免混淆。
4. Using Technology and Tools | 使用技术与工具
You are encouraged to use digital tools where appropriate. A spreadsheet application such as Microsoft Excel or Google Sheets can help you organise data, calculate averages, and create charts. Learning to type a simple formula like =AVERAGE(B2:B4) is a valuable skill that also reduces arithmetic mistakes.
我们鼓励你在适当的时候使用数字工具。像 Microsoft Excel 或 Google Sheets 这类电子表格软件可以帮助你整理数据、计算平均值并创建图表。学会输入一个简单的公式，例如 =AVERAGE(B2:B4)，是一项很有价值的技能，也能减少算术错误。
Graphing software or an online graph plotter can be used to generate scatter plots and line graphs. However, you must be able to sketch a simple graph by hand as well. Labelling axes correctly with variables and units (e.g., ‘Drop Height (cm)’) is one of the most commonly tested skills in a practical write-up.
你可以使用绘图软件或在线绘图工具来生成散点图和折线图。不过，你也要能够手工绘制简单的图表。正确标注坐标轴（变量与单位，例如“下落高度（厘米）”）是实验报告中最常考察的技能之一。
5. Organising and Representing Data | 数据整理与展示
Choose the right type of graph for your data. For an investigation that looks at the relationship between two continuous variables, a scatter graph with a line of best fit is ideal. If you are comparing categories, a bar chart is more appropriate. Always give your graph a meaningful title that describes what the data shows.
根据数据类型选择合适的图表。对于探索两个连续变量之间关系的探究，使用带有最佳拟合线的散点图最为理想。如果你在比较不同类别，条形图则更加合适。始终给图表起一个能描述数据内容的标题。
When drawing a line of best fit, do not simply connect the dots. The line should pass as close to as many points as possible, with roughly equal numbers of points above and below it. This line represents the general trend and allows you to make predictions, which is a key part of the analysis.
在绘制最佳拟合线时，不要只是简单地把点连起来。这条线应该尽可能靠近更多的点，线上方和下方的点数应大致相等。它代表了总体趋势，并让你能够进行预测，而这正是分析部分的关键。
6. Analysing Patterns and Relationships | 分析规律与关系
Look at your graph or table and describe the relationship in words. Use phrases like ‘as drop height increases, bounce height also increases’ for a positive correlation, or state it more precisely: ‘When the drop height is doubled from 50 cm to 100 cm, the rebound height increases by approximately 20 cm.’ Quantifying the change demonstrates a higher level of mathematical thinking.
观察你的图表或表格，并用语言描述其中的关系。对于正相关关系，可以使用“随着下落高度增加，反弹高度也增加”这类说法，或者更精确地表述：“当下落高度从50厘米翻倍至100厘米时，反弹高度约增加20厘米。”量化变化能展现更高层次的数学思维。
If the data suggests a proportional relationship, you can calculate a constant ratio. For instance, if bounce height / drop height is always close to 0.6, you might propose the rule: bounce height ≈ 0.6 × drop height. Checking this rule against your collected data is an excellent way to show depth in your investigation.
如果数据表明存在比例关系，你可以计算出一个恒定的比值。例如，如果反弹高度/下落高度始终接近 0.6，你就可以提出规则：反弹高度 ≈ 0.6 × 下落高度。将这一规则与你收集的数据进行核验，是展示探究深度的绝佳方式。
7. Drawing Conclusions and Evaluating | 得出结论与评估
Your conclusion must directly answer the original investigation question and refer to evidence from your data. Instead of writing a vague statement like ‘the experiment worked’, say: ‘The data supports the prediction that a greater drop height leads to a greater bounce height. The line of best fit shows a strong positive correlation, with an average rebound ratio of 0.62.’
你的结论必须直接回答最初的探究问题，并引用数据中的证据。不要写“实验成功了”这类模糊的陈述，而要说：“数据支持了下落高度越大、反弹高度越高的预测。最佳拟合线显示出很强的正相关性，平均反弹比值为0.62。”
Evaluation is about being honest and critical about your own work. Identify at least two possible sources of error. You might mention that the ruler was not perfectly vertical when measuring, or that it was hard to read the exact bounce height because the ball moved quickly. Suggest how you would improve the method if you repeated the experiment, for instance, by filming the bounce in slow motion.
评估环节要求你对自己的工作诚实且有批判性。至少找出两个可能的误差来源。你可以提到测量时尺子没有完全垂直，或者因为球运动太快而难以读取准确的反弹高度。并提出如果重做实验你将如何改进方法，例如，通过慢动作拍摄反弹过程。
8. Common Pitfalls to Avoid | 应避免的常见错误
One frequent mistake is changing more than one variable at a time. Students sometimes unconsciously alter a control variable, such as switching to a different floor surface partway through, which makes the data unreliable. Always stick to the plan and note down any accidental changes immediately.
一个常见错误是一次更改多个变量。学生有时会不自觉地改变控制变量，比如中途换到不同的地面，这会让数据变得不可靠。务必坚持原计划，并对任何意外更改立即做记录。
Another common slip is poor graph scaling. If you choose a scale that spreads the data points only over a small area of the paper, patterns become difficult to see. Use most of the graph grid available. Additionally, never forget to label your axes — even a perfect plot will lose marks without clear labels and units.
另一个常见错误是图表比例不当。如果你选择的标尺使数据点只占据了图纸的一小块区域，规律就会变得难以辨认。要充分利用图表网格的大部分空间。此外，永远不要忘记标注坐标轴——即使图表绘制得再完美，如果没有清晰的标签和单位也会失分。
9. Tips for Presentation and Communication | 展示与交流技巧
Your final report should tell a clear story. Use headings to separate the plan, data collection, analysis, and conclusion sections. Write in full sentences and in the past tense when describing what you did, for example: ‘I dropped the ball from five different heights…’ A neat, well-structured report leaves a strong impression on the assessor.
你的最终报告应当讲述一个清晰的故事。使用标题将计划、数据收集、分析和结论各部分分开。用完整的句子描述你所做的事情，并用过去时态，例如：“我从五个不同的高度落下球……”一份整洁、结构良好的报告会给评估者留下深刻印象。
Use mathematical vocabulary accurately. Terms such as ‘mean’, ‘range’, ‘correlation’, ‘outlier’, and ‘trend’ show that you can communicate mathematically. If you have spotted an outlier, state clearly why you chose to keep it or disregard it. This level of commentary demonstrates a mature approach to handling data.
准确使用数学词汇。像“平均值”、“极差”、“相关”、“异常值”和“趋势”这样的术语表明你能够用数学语言进行交流。如果你发现了一个异常值，要清楚地说明你选择保留或剔除它的理由。这种水平的评述展现了处理数据的成熟方法。
10. Practice Example: The Bouncing Ball Experiment | 实践案例：弹跳球实验
To bring everything together, let’s walk through a classic Year 7 investigation. The question is: ‘How does the drop height (from 40 cm to 120 cm) affect the rebound height of a tennis ball on a concrete floor?’ The independent variable is drop height, and the dependent variable is rebound height. Control variables include the type of ball, the floor surface, and releasing the ball without pushing.
为了将一切融会贯通，我们来完整演练一个经典的七年级探究。问题是：“(从40厘米到120厘米的)下落高度如何影响一个网球在水泥地面上的反弹高度？”自变量为下落高度，因变量为反弹高度。控制变量包括球的种类、地面材质以及释放球时不施加推力。
You collect three rebound readings for each drop height, calculate averages, and plot a scatter graph. The analysis shows that as drop height increases from 40 cm to 120 cm, the mean rebound height rises from 24 cm to 68 cm. The ratio of rebound to drop height stays near 0.6. The line of best fit suggests a strong linear relationship. In your evaluation, you note that measuring the rebound by eye was difficult and suggest using a video camera next time.
你需要对每个下落高度收集三个反弹读数，计算平均值，然后绘制散点图。分析显示，当下落高度从40厘米增加到120厘米时，平均反弹高度从24厘米上升到了68厘米。反弹与下落高度的比值保持在0.6左右。最佳拟合线显示出很强的线性关系。在评估中，你指出现场目测反弹高度很困难，并建议下次使用摄像机记录。
Rebound Height ≈ 0.6 × Drop Height
This simple experiment, when written up with clear tables, graphs, and honest evaluation, would meet all the key criteria for a successful SQA practical assessment at Year 7 level.
将这个简单的实验用清晰的表格、图表和诚实的评估进行书面整理，就能满足七年级 SQA 实践考核的全部关键标准。
Published by TutorHao | Mathematics Revision Series | aleveler.com
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