📚 Year 7 Edexcel Maths: Summer Preparation and Bridging Course | Year 7 Edexcel 数学：暑期预习与衔接课程
Welcome to your Year 7 Edexcel mathematics summer bridging course. This programme is designed to strengthen your primary school skills and introduce the new topics you will meet in secondary school. By following the step‑by‑step sections, you will build confidence and be fully prepared for the start of Year 7. The guide covers number, algebra, geometry, measurement, statistics and problem‑solving strategies, all aligned to the Edexcel specification.
欢迎参加 Year 7 Edexcel 数学暑期衔接课程。本课程旨在巩固你的小学数学技能，并介绍你将在中学遇到的新主题。通过循序渐进的章节，你将建立信心，为 Year 7 的开学做好充分准备。本指南涵盖数、代数、几何、测量、统计和解题策略，全部与 Edexcel 教学大纲保持一致。
1. Understanding the Year 7 Edexcel Maths Curriculum | 认识 Year 7 Edexcel 数学课程大纲
The Year 7 Edexcel mathematics course builds on primary school concepts and introduces more formal methods. It is divided into six main strands: Number, Algebra, Geometry, Measures, Statistics and Probability. Each term will deepen your understanding and introduce problem‑solving in familiar and unfamiliar contexts.
Year 7 Edexcel 数学课程以小学概念为基础，并引入更规范的方法。它分为六大板块：数、代数、几何、测量、统计与概率。每个学期都会加深你的理解，并在熟悉和陌生的情境中引入解题。
During the summer, you should review topics such as place value, the four operations with whole numbers and decimals, simple fractions, and reading timetables and charts. The bridging course will help you recognise how primary work links directly to Year 7 content like algebraic notation and angle facts.
在暑假期间，你应该复习诸如位值、整数与小数的四则运算、简单分数以及阅读时刻表和图表等主题。本衔接课程将帮助你认识到小学知识与 Year 7 内容（如代数符号和角度规律）的直接联系。
2. Mastering Number and Place Value | 掌握数与位值
A firm grasp of place value is essential for all number topics in Year 7. You need to be able to read, write, order and compare numbers up to 10 million and decimals to three decimal places. Understanding the value of each digit in a number allows you to multiply and divide by 10, 100 and 1000 with confidence.
牢固掌握位值对 Year 7 所有数字主题都至关重要。你需要能够读、写、排序和比较大到一千万的整数以及三位小数。理解一个数中每个数字的值能让你自信地乘以和除以 10、100 和 1000。
Practice writing numbers in expanded form. For example, 3.706 = 3 + 0.7 + 0.006. This skill will support your work with decimals, rounding and estimation. You should also be comfortable with negative numbers: ordering them, adding and subtracting, and interpreting them in real‑life contexts like temperature.
练习将数字写成展开式。例如，3.706 = 3 + 0.7 + 0.006。这一技能将帮助你进行小数、四舍五入和估算。你还需要熟悉负数：对它们进行排序、加减，以及在温度等实际情境中进行解读。
Key place value headings to remember:
需要记住的关键位值标题：
• Millions, hundred thousands, ten thousands, thousands, hundreds, tens, units, decimal point, tenths, hundredths, thousandths.
• 百万、十万、万、千、百、十、个、小数点、十分位、百分位、千分位。
3. Working with Fractions, Decimals and Percentages | 分数、小数和百分数的运算
Year 7 expects you to move fluently between fractions, decimals and percentages. You will learn to simplify fractions, find equivalent fractions, and convert improper fractions to mixed numbers. Addition and subtraction of fractions with different denominators is a core skill, as is multiplying and dividing fractions by whole numbers.
Year 7 要求你能够在分数、小数和百分数之间熟练转换。你将学习化简分数、寻找等值分数，以及将假分数转化为带分数。异分母分数的加减法是一项核心技能，分数与整数的乘除法同样重要。
Decimals work connects closely to place value. You will order decimals, round to a given number of decimal places, and multiply and divide decimals by integers. Understanding percentages as ‘out of 100’ lets you link them to fractions and decimals quickly. A common conversion table is shown below.
小数的运算与位值紧密相关。你将进行小数排序、四舍五入到指定小数位，以及小数与整数的乘除法。将百分数理解为‘每一百’能让你快速将它们与分数和小数联系起来。下面是一张常见转换表。
| Fraction (分数) | Decimal (小数) | Percentage (百分数) |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/10 | 0.1 | 10% |
| 1/3 | 0.333… | 33⅓% |
Practise converting between these forms without a calculator. In Year 7 you will also calculate percentages of amounts, find percentage increase and decrease, and solve real‑life problems involving discounts and interest.
练习不借助计算器在这些形式之间进行转换。在 Year 7 中，你还将计算一个数量的百分数、求解百分数的增减，以及解决涉及折扣和利息的实际问题。
4. Introduction to Algebra: Expressions and Equations | 代数入门：表达式与方程
Algebra is often the most exciting new topic in Year 7. You will learn to use letters to represent unknown numbers or variable quantities. Writing simple expressions, such as 3a + 2b or 5(x + 2), is the first step. The key rules include understanding that 2a means 2 × a, and that a² means a × a.
代数通常是 Year 7 中最令人兴奋的新主题。你将学习用字母表示未知数或变量。写出简单的表达式，如 3a + 2b 或 5(x + 2)，是第一步。关键规则包括理解 2a 表示 2 × a，a² 表示 a × a。
You will also learn to simplify algebraic expressions by collecting like terms. For example, 5x + 3y + 2x – y simplifies to 7x + 2y. Substituting numbers into expressions and using inverse operations to solve simple equations such as 2x + 5 = 13 are essential skills.
你还将学习通过合并同类项来化简代数表达式。例如，5x + 3y + 2x – y 化简为 7x + 2y。将数字代入表达式，以及使用逆运算求解如 2x + 5 = 13 这样的简单方程，是基本技能。
Get comfortable with function machines and sequences. Describing the nth term of a linear sequence links patterns to algebraic thinking. A typical sequence: 4, 7, 10, 13… has nth term 3n + 1. This foundation will carry you through lower secondary maths.
熟悉函数机器和数列。描述线性数列的第 n 项将规律与代数思维联系起来。一个典型的数列：4, 7, 10, 13… 其第 n 项为 3n + 1。这一基础将贯穿你整个初中数学学习。
5. Geometry: Angles, Shapes and Symmetry | 几何：角、图形与对称
Year 7 geometry revises angle facts and introduces formal notation. You need to know that angles on a straight line sum to 180°, angles around a point sum to 360°, and vertically opposite angles are equal. These rules are used to find missing angles in diagrams.
Year 7 几何复习角度规律并引入规范符号。你需要知道直线上的角之和为 180°，一点周围的角之和为 360°，以及对顶角相等。这些规律用于找出图形中的未知角。
You will also measure and draw angles with a protractor, and classify angles as acute (less than 90°), right (90°), obtuse (90°–180°) and reflex (more than 180°). Properties of triangles and quadrilaterals are explored: triangles are classified by sides and angles; quadrilaterals include squares, rectangles, parallelograms, rhombuses, trapeziums and kites.
你还将用量角器测量和画出角度，并将角分类为锐角（小于 90°）、直角（90°）、钝角（90°–180°）和优角（大于 180°）。三角形和四边形的性质会进一步探讨：三角形按边和角分类；四边形包括正方形、矩形、平行四边形、菱形、梯形和筝形。
Symmetry is revisited: line symmetry and rotational symmetry for 2D shapes. You will also work with 3D shapes, identifying faces, edges and vertices of cubes, cuboids, prisms and pyramids. These topics provide a strong grounding for later work on area, volume and transformations.
对称性再次出现：平面图形的线对称和旋转对称。你还会接触立体图形，识别立方体、长方体、棱柱和棱锥的面、棱和顶点。这些主题为以后的面积、体积和图形变换学习打下坚实基础。
6. Measurement: Length, Area and Volume | 测量：长度、面积和体积
Measurement in Year 7 consolidates metric units and introduces compound units. You should be able to convert between mm, cm, m and km, and between g, kg and tonnes, as well as ml, cl and litres. Solving problems involving time, including reading 24‑hour clocks and calculating time intervals, is also expected.
Year 7 的测量巩固了公制单位并引入复合单位。你应能在毫米、厘米、米和千米之间转换，在克、千克和吨之间转换，以及在毫升、厘升和升之间转换。解决问题涉及时间，包括阅读 24 小时制时钟和计算时间间隔，也是预期内容。
You will calculate the perimeter of rectangles and compound rectilinear shapes by adding side lengths. The area of a rectangle is introduced as length × width, and you will learn to find the area of triangles using ½ × base × height. For volume, the formula for a cuboid is V = l × w × h, measured in cubic units.
你将通过边长求和计算矩形和直线复合图形的周长。矩形的面积公式为长 × 宽，你还会学习用 ½ × 底 × 高 计算三角形面积。对于体积，长方体的体积公式为 V = l × w × h，以立方单位计量。
Make sure you are confident estimating measurements in everyday contexts. Practical tasks like measuring a room for new carpet or calculating the volume of a fish tank help to develop measurement sense.
确保你能够在日常情境中估算测量值。实际任务，如为新地毯测量房间或计算鱼缸的体积，有助于培养测量感。
7. Handling Data: Statistics and Probability | 数据处理：统计与概率
The statistics strand in Year 7 focuses on collecting, representing and interpreting data. You will draw and interpret bar charts, pie charts, pictograms and line graphs. You will also learn about averages: the mean, median, mode and range, and decide which average best describes a data set.
Year 7 的统计板块侧重于数据的收集、表示和解读。你将绘制和解读条形图、饼图、象形图和折线图。你还将学习平均数：平均数、中位数、众数和极差，并判断哪个平均数最能描述一组数据。
Probability is introduced as a measure of chance, expressed on a scale from 0 (impossible) to 1 (certain). You will use words like likely, unlikely, even chance, and begin to calculate simple probabilities as fractions. For example, the probability of rolling a 4 on a fair dice is 1/6.
概率作为对机会的度量被引入，用从 0（不可能）到 1（必然）的尺度表示。你将使用诸如可能、不可能、等可能等词语，并开始将简单概率计为分数。例如，掷一个公平骰子得到 4 的概率是 1/6。
Practice designing tally charts and frequency tables. Being able to read information from dual bar charts and timetables is a valuable life skill. Summer offers great opportunities to collect your own data, such as daily temperatures or sports scores.
练习设计计数表和频数表。能够从双重条形图和时刻表中读取信息是一项宝贵的生活技能。暑假提供了收集自己数据的好机会，比如每日温度或体育比赛分数。
8. Developing Problem‑Solving Skills | 培养解题技巧
Mathematics is not only about remembering rules; it is about applying them to solve problems. In Year 7, you will see multi‑step word problems that require you to choose the correct operations and strategies. The ‘RUCSAC’ approach is helpful: Read, Understand, Choose, Solve, Answer, Check.
数学不仅仅是记住规则，更在于应用它们来解决问题。在 Year 7，你将遇到需要选择正确运算和策略的多步骤应用题。‘RUCSAC’ 方法很有帮助：读题、理解、选择、求解、回答、检查。
When tackling a problem, write down what you know and what you need to find out. Draw a diagram, make a list, or work backwards if necessary. Estimation helps you judge whether your answer is reasonable. Always present your solution clearly, showing all working steps.
处理问题时，写下你知道的和需要找到的信息。必要时画图、列表或倒推。估算有助于判断答案是否合理。始终清晰地展示你的解答，展示所有步骤。
Many real‑life contexts appear in Edexcel assessments: shopping budgets, travel timetables, recipe adjustments. Practising these over the summer will sharpen your mathematical thinking and make Year 7 problem‑solving much easier.
很多实际情境出现在 Edexcel 评估中：购物预算、旅行时刻表、食谱调整。暑假练习这些将提升你的数学思维，使 Year 7 的解题变得容易得多。
9. Effective Summer Study Strategies | 高效的暑期学习策略
To get the most out of this bridging course, create a simple study plan. Aim for 20–30 minutes of maths 4–5 times per week. Short, regular sessions are more effective than long, irregular ones. Start each session by reviewing the previous topic for 5 minutes.
为了充分利用本衔接课程，制定一个简单的学习计划。目标是每周进行 4–5 次，每次 20–30 分钟的数学学习。短时而规律的学习比长时间不规律的学习更有效。每次学习开始时，花 5 分钟回顾前一主题。
Use a notebook to record key vocabulary, example problems and common mistakes. Writing by hand helps you remember. When you finish a section, try some practice questions without looking at your notes. Then check your answers and correct any errors.
使用笔记本记录关键词汇、例题和常见错误。手写有助于记忆。完成一节后，尝试在不看笔记的情况下做几道练习题。然后检查答案并纠正错误。
Suggested weekly focus during summer holidays:
暑假期间建议的每周学习重点：
| Week (周) | Focus area (重点领域) | Activity (活动) |
|---|---|---|
| 1 | Place value and decimals (位值与小数) | Ordering and rounding tasks (排序与四舍五入练习) |
| 2 | Fractions and percentages (分数与百分数) | Conversion dominoes or card games (转换多米诺或纸牌游戏) |
| 3 | Algebraic expressions (代数表达式) | Substitution puzzles (代入谜题) |
| 4 | Angles and shape properties (角与图形性质) | Angle chase worksheets (角度追逐练习题) |
| 5 | Measures and statistics (测量与统计) | Real‑life data project (实际数据项目) |
| 6 | Review and practice papers (复习与练习卷) | Mock bridging test (衔接模拟测试) |
10. Sample Practice Questions and Answers | 样题与解答
Try these five bridging questions to test your readiness. Cover the answers and attempt each one before checking. Write out full solutions, just as you will be expected to do in Year 7.
尝试这五道衔接题目，检测你的准备情况。盖住答案，在检查之前逐一尝试。写出完整的解题过程，就像在 Year 7 中被要求的那样。
Question 1: Write the number thirty‑two thousand, eight hundred and five in digits. Answer: 32 805.
问题 1： 用数字写出三万二千八百零五。答案：32 805。
Question 2: Simplify 3a + 5b – a + 2b. Answer: 2a + 7b.
问题 2： 化简 3a + 5b – a + 2b。答案：2a + 7b。
Question 3: Calculate 15% of £240. Answer: 10% = £24, 5% = £12, so 15% = £36.
问题 3： 计算 240 英镑的 15%。答案：10% = 24 英镑，5% = 12 英镑，因此 15% = 36 英镑。
Question 4: Find the missing angle in a triangle with angles 52° and 68°. Answer: 180 – (52 + 68) = 60°.
问题 4： 三角形中两个角分别为 52° 和 68°，求未知角。答案：180 – (52 + 68) = 60°。
Question 5: The temperature in London is –4°C and it rises by 9°C. What is the new temperature? Answer: –4 + 9 = 5°C.
问题 5： 伦敦的温度是 –4°C，升高了 9°C。新的温度是多少？答案：–4 + 9 = 5°C。
Keep a collection of similar questions from each topic. Regular practice will make these skills automatic when you start Year 7.
从每个主题都收集类似的题目。定期练习将使这些技能在 Year 7 开始时变得自动化。
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