📚 Year 7 WJEC Advanced Maths: Winter Holiday Intensive Revision Plan | 七年级 WJEC 进阶数学：寒假强化复习计划
The winter break offers a perfect opportunity for Year 7 students to consolidate their advanced maths skills and build confidence ahead of the spring term. This intensive revision plan, tailored to the WJEC curriculum, will help you revisit key topics, practise problem-solving, and develop a deeper understanding of mathematical concepts.
寒假为七年级学生提供了一个绝佳的机会，用于巩固进阶数学技能，并为春季学期建立信心。这份针对 WJEC 课程量身定制的强化复习计划，将帮助你重温关键主题、练习解题，并加深对数学概念的理解。
1. Assess Your Current Level | 评估当前水平
Before starting your revision, take stock of what you already know. Review your exercise books, marked homework, and any recent test papers. Identify the topics you find easy and those that make you feel less confident.
在开始复习之前，盘点你已掌握的知识。回顾你的练习册、批改过的作业和最近的测验卷。找出你觉得轻松的主题，以及那些让你信心不足的主题。
Create a simple topic checklist for WJEC Advanced Maths: Number (including fractions, decimals and percentages), Algebra (simplifying, substitution, sequences), Geometry (angles, area, perimeter, coordinates), and Statistics (charts, averages, probability). Rate each as 'secure', 'needs revision' or 'priority'.
为 WJEC 进阶数学制作一个简单的主题清单：数（包括分数、小数和百分比）、代数（化简、代入、数列）、几何（角、面积、周长、坐标）和统计（图表、平均数、概率）。将每个主题评为“掌握”、“需要复习”或“优先”。
2. Set Clear Goals | 设定明确目标
Turn your assessment into specific, measurable goals. For example, 'I want to be able to solve two-step equations without mistakes' or 'I aim to calculate the mean, median and mode from a frequency table'. Write down 3–4 goals for the holiday.
将你的评估转化为具体、可衡量的目标。例如，“我希望能无差错地解两步方程”或“我希望能从频数表中计算平均数、中位数和众数”。为假期写下 3–4 个目标。
Share your goals with a parent or guardian. They can help you stay on track and celebrate your progress. Visual reminders, such as a goal poster on your wall, keep you motivated.
与父母或监护人分享你的目标。他们可以帮助你保持正轨并庆祝你的进步。视觉提醒，如墙上的目标海报，会让你保持动力。
3. Create a Weekly Timetable | 制定每周时间表
Design a realistic timetable that spreads revision across the holiday. Aim for 60–90 minutes a day, broken into 25-minute focused sessions with short breaks. Reserve weekends for lighter review or fun maths games.
制定一份切实可行的时间表，将复习分散在假期中。目标是每天 60–90 分钟，分为若干个 25 分钟的专注时段，中间有短暂休息。周末可安排轻松的复习或趣味数学游戏。
| Day | Focus (45–60 min) | Activity |
|---|---|---|
| Mon | Number | Fraction & decimal conversions, practice set |
| Tue | Algebra | Simplify expressions, substitution |
| Wed | Geometry | Angle facts, area of triangles |
| Thu | Problem solving | WJEC-style multi-step questions |
| Fri | Data & probability | Interpret bar charts, find probabilities |
Stick to the schedule but be flexible—if a topic takes longer, adjust the next day. The key is consistency, not intensity.
遵守时间表但要灵活——如果某个主题耗时更长，就调整次日计划。关键是持之以恒，而非强度。
4. Master Core Number Skills | 掌握核心算术技能
Practise operations with integers, including adding and subtracting negative numbers: e.g. −5 + 3 = −2, −4 − (−2) = −2. Use a number line if needed.
进阶数学建立在扎实的数感之上。练习整数的运算，包括负数的加减法：例如 −5 + 3 = −2，−4 − (−2) = −2。必要时使用数轴。
s. For instance, 2⅓ + 1¼ = 3 7/12. Also practise multiplying and dividing fractions, such as 2/3 × 3/4 = 1/2.
重温分数：带分数与假分数之间的转换，以及异分母分数的加减运算。例如，2⅓ + 1¼ = 3 7/12。还要练习分数的乘除，如 2/3 × 3/4 = 1/2。
onfidently convert between fractions, decimals and percentages. Know that ⅜ = 0.375 = 37.5%. Apply these to real-life contexts like discounts and interest.
确保你能自信地在分数、小数和百分比之间转换。知道 ⅜ = 0.375 = 37.5%。将这些知识应用于折扣和利息等实际情境。
5. Strengthen Algebra Foundations | 巩固代数基础
. 3a + 2b − a + 5b = 2a + 7b. Then move to expanding a single bracket: 2(3x + 4) = 6x + 8.
代数是 WJEC 进阶数学的核心。从化简表达式开始：合并同类项，例如 3a + 2b − a + 5b = 2a + 7b。然后过渡到去括号：2(3x + 4) = 6x + 8。
substituting back. Introduce equations with unknowns on both sides, like 5y + 2 = 3y + 10.
练习解一元一次方程。从一步方程开始：x + 5 = 12，然后两步方程：2x − 3 = 7。始终通过回代检验你的解。引入未知数在等号两边的方程，如 5y + 2 = 3y + 10。
(e.g. nth term = 3n + 1 → 4, 7, 10, ...). Find the nth term for a simple linear sequence.
探索数列：根据第 n 项公式产生等差数列的项（例如第 n 项 = 3n + 1 → 4, 7, 10, ...）。为简单的线性数列找出第 n 项公式。
6. Explore Geometry and Measures | 探索几何与测量
Geometry revision should cover angle rules: angles on a straight line sum to 180°, around a point sum to 360°, vertically opposite angles are equal. Use these to find missing angles in diagrams.
几何复习应包括角度规则：直线上的角之和为 180°，绕一点一周的角之和为 360°，对顶角相等。利用这些规则求图形中的未知角。
= ½ × base × height. Apply these to compound shapes by splitting them into simpler parts.
计算矩形、三角形和平行四边形的面积和周长。记住：三角形面积 = ½ × 底 × 高。将复合图形分解成简单部分，应用这些公式。
Work with coordinates in all four quadrants. Plot points, reflect shapes in the x-axis or y-axis, and translate shapes using a vector, e.g. translation (3, −2).
在四个象限中运用坐标。描点，沿 x 轴或 y 轴镜像图形，以及用向量平移图形，如平移 (3, −2)。
7. Tackle Data Handling and Probability | 处理数据处理与概率
Interpreting charts is a key skill. Practise reading bar charts, pictograms, and line graphs. Calculate the mean, median, mode and range from a small data set or frequency table.
解读图表是一项关键技能。练习阅读条形图、象形图和折线图。从小型数据集或频数表中计算平均数、中位数、众数和范围。
: P(rolling a 3 on a fair dice) = 1/6. Understand that probabilities of all outcomes sum to 1.
在概率方面，使用 0 到 1 的度量，并用分数、小数或百分比表达概率。求单一事件的概率：P（掷一枚公平骰子得 3）= 1/6。理解
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