📚 Year 7 CCEA Maths: Christmas Holiday Intensive Revision Plan | Year 7 CCEA 数学：寒假强化复习计划
The Christmas holiday is the perfect window to consolidate everything you have learned in Year 7 Maths so far, without the pressure of daily schoolwork. This three-week intensive revision plan breaks the CCEA Year 7 curriculum into manageable daily goals, mixing core number skills, geometry and data handling. You will revisit key ideas, close gaps in your understanding and return to school feeling confident and prepared.
寒假是巩固 Year 7 数学所学内容的绝佳时机，没有日常功课的压力。这份三周强化复习计划将 CCEA Year 7 课程拆分为可管理的每日目标，融合核心数字技能、几何和数据处理。你将重新梳理关键概念，弥补知识漏洞，开学时自信满满。
1. How to Use This Three-Week Plan | 如何使用这份三周计划
Each day you will focus on one topic area for about 40–50 minutes. Start with a quick warm‑up, study the key facts, then practise using past questions or online tasks. Tick off each day as you go and take short notes of any tricky bits to ask your teacher later. The plan is designed to work around family time – if you miss a day, simply catch up the next morning.
每天集中学习一个主题约 40–50 分钟。先快速热身，回顾关键知识点，然后用真题或在线任务练习。每天完成后打勾，并简要记录难点以便开学后问老师。此计划可以灵活配合家庭活动——如果错过一天，第二天早上补上即可。
2. Week 1: Building a Rock‑Solid Number Base | 第一周：打造扎实的数字基础
Week 1 revisits place value, negative numbers, rounding and powers – the building blocks for all later topics. Without a secure grasp of these, fractions and algebra will feel shaky. Aim to work for five days out of seven, leaving weekends lighter to recharge.
第一周重温位值、负数、四舍五入和幂——后续所有主题的基石。如果这些基础不牢固，学习分数和代数就会感到吃力。七天中安排五天学习，周末轻松一些以便恢复精力。
3. Day 1–2: Place Value up to 10 Million | 第 1–2 天：千万以内的位值
Read and write numbers up to 10 000 000, correctly placing digits into columns (millions, hundred thousands, tens of thousands, thousands, hundreds, tens, ones). Practise partitioning: 4 305 218 = 4 000 000 + 300 000 + 5 000 + 200 + 10 + 8. Order a list of large numbers and work out the value of an underlined digit, e.g. in 6 724 091 the digit 7 is worth 700 000.
能读写 10 000 000 以内的数，准确将数字放入数位（百万位、十万位、万位、千位、百位、十位、个位）。练习拆分：4 305 218 = 4 000 000 + 300 000 + 5 000 + 200 + 10 + 8。给一组大数字排序，并说出指定位值的数值，例如 6 724 091 中 7 代表 700 000。
4. Day 3–4: Negative Numbers and Number Lines | 第 3–4 天：负数和数轴
Understand positive and negative numbers in real‑life contexts: temperature, bank balances and floors below ground level. Practise counting through zero, so you can work out 3 – 8 = –5 or –4 + 11 = 7. Draw a vertical number line from –10 to +10 and use it to find differences between temperatures, such as the rise from –6 °C to 4 °C.
在现实生活情境中理解正数和负数：温度、银行余额和地下楼层。练习跨越零的计数，能计算 3 – 8 = –5 或 –4 + 11 = 7。画出从 –10 到 +10 的纵轴数轴，用它求温度差，例如从 –6 °C 升至 4 °C 的变化量。
5. Day 5–7: Rounding, Estimating and Powers of 10 | 第 5–7 天：四舍五入、估算与 10 的幂
Round any whole number to the nearest 10, 100, 1000 or even 1 000 000. Remember the rule: look at the digit to the right – 5 or more rounds up. Use rounding to check answers to calculations (estimation). Introduce powers: 10² = 10 × 10 = 100, 10³ = 1000. Know that 10⁶ is one million, linking back to place value. Solve simple puzzles like ‘What is 10⁴?’ and ‘Write 250 000 as 2.5 × 10⁵’.
将任意整数四舍五入到最近的 10、100、1000 甚至 1 000 000。记住规则：看右侧一位数字——5 或以上就进一。用四舍五入检验计算结果（估算）。引入幂：10² = 10 × 10 = 100，10³ = 1000。理解 10⁶ 是一百万，与位值联系。解简单谜题，如“10⁴ 是多少？”以及“将 250 000 写作 2.5 × 10⁵”。
6. Week 2: Mastering Operations and Fractions | 第二周：掌握运算和分数
Now that your number sense is sharp, week 2 targets addition, subtraction, multiplication, division and the beginnings of fractions. Fluency in written methods will make multi‑step problems much easier. Try to do a little mental arithmetic each day before you start – 5 minutes of quick‑fire questions is enough.
现在你的数感已经敏锐了，第二周聚焦加法、减法、乘法、除法以及分数的入门。掌握书面计算方法会让多步问题变得简单很多。每天开始前尝试做一点心算——5 分钟的快速问答就足够了。
7. Day 8–10: Column Addition and Subtraction with Whole Numbers | 第 8–10 天：整数竖式加减法
Secure column addition and subtraction for numbers with up to 7 digits. Line up digits by place value, and for subtraction use decomposition (borrowing) carefully. Set up word problems that require you to decide which operation to use: ‘A stadium holds 32 500 people. If 18 765 tickets have been sold, how many are left?’ Check your answers using the inverse operation.
牢固掌握最多 7 位数的竖式加法和减法。按位值对齐数字，做减法时小心使用借位（分解）。设置实际应用题，要求你判断使用哪种运算：“一座体育场容纳 32 500 人，已售出 18 765 张票，还剩多少张？”用逆运算检查答案。
8. Day 11–14: Multiplication, Division and Factors | 第 11–14 天：乘法、除法与因数
Multiply up to 4‑digit numbers by a 2‑digit number using the formal written method (long multiplication). Divide numbers up to 4 digits by a 1‑digit number using short division, and express remainders as fractions. Rehearse times tables to keep speed high. Identify factors, multiples, prime numbers up to 100, and square numbers (1² = 1, 2² = 4, …, 12² = 144). Practise finding the highest common factor (HCF) of two numbers, e.g. HCF of 24 and 36 is 12.
用正式竖式方法（长乘法）计算最多 4 位数乘 2 位数。用短除法计算最多 4 位数除以 1 位数，并将余数表示为分数。反复练习乘法表以保持速度。识别因数、倍数、100 以内的质数以及平方数（1² = 1，2² = 4，……，12² = 144）。练习求两个数的最大公因数，例如 24 和 36 的 HCF 是 12。
9. Week 3: Fractions, Decimals, Percentages, Geometry and Data | 第三周：分数、小数、百分数、几何与数据
The final week connects fractions, decimals and percentages and then moves on to shape, space and simple statistics. This is where you see how different parts of maths link together. Aim to finish the week with a mixed review paper or online quiz that covers everything.
最后一周将分数、小数和百分数联系起来，然后过渡到形状、空间和简单统计。到这里你会看到数学不同部分是如何关联的。力求在本周末完成一份涵盖所有内容的综合练习卷或在线测验。
10. Day 15–16: Equivalent Fractions, Decimals and Percentages | 第 15–16 天：等值分数、小数和百分数
Use fraction walls or bar models to see that 1/2 = 2/4 = 4/8. Simplify fractions by dividing the numerator and denominator by their highest common factor. Convert between mixed numbers and improper fractions. Link tenths, hundredths and thousandths to decimals (0.7 = 7/10, 0.25 = 25/100 = 1/4). Recognise common equivalences: 1/2 = 0.5 = 50%, 1/4 = 0.25 = 25%, 3/4 = 0.75 = 75%.
用分数墙或条形模型理解 1/2 = 2/4 = 4/8。通过将分子分母同时除以最大公因数来化简分数。在带分数和假分数之间转换。将十分位、百分位和千分位与小数联系起来（0.7 = 7/10，0.25 = 25/100 = 1/4）。识别常见的等值关系：1/2 = 0.5 = 50%，1/4 = 0.25 = 25%，3/4 = 0.75 = 75%。
11. Day 17–19: Angles, Shapes and Area | 第 17–19 天：角度、形状和面积
Measure angles with a protractor, classify them as acute (< 90°), right (90°), obtuse (90°–180°) or reflex (> 180°). Know that angles on a straight line add to 180° and around a point add to 360°. Identify 2D shapes by their properties (number of sides, parallel lines, symmetry). Calculate the perimeter of rectilinear shapes by adding side lengths. Find the area of rectangles and squares using the formula Area = length × width, and record answers in cm² or m².
使用量角器测量角度，将其分类为锐角（< 90°）、直角（90°）、钝角（90°–180°）或优角（> 180°）。理解直线上的角之和为 180°，围绕一个点的角之和为 360°。根据属性（边数、平行线、对称）识别 2D 形状。通过加总边长计算直线形状的周长。使用公式 面积 = 长 × 宽 计算矩形和正方形的面积，并以 cm² 或 m² 记录答案。
12. Day 20–21: Data Handling and Final Review | 第 20–21 天：数据处理与最终回顾
Interpret bar charts, pictograms and simple line graphs. Answer questions like ‘How many more people chose dogs than cats?’ and ‘What trend does the graph show between 10 a.m. and 2 p.m.?’. Calculate the mean of a small set of data by adding all values and dividing by the number of values. Finish the plan by doing a timed mixed revision paper – treat it like a mock test to build exam confidence. Go over your notes from the three weeks and celebrate your progress.
解读条形图、象形图和简单的折线图。回答诸如“选择狗的人比选择猫的人多多少？”以及“图表在上午 10 点到下午 2 点间显示出什么趋势？”之类的问题。通过将所有数值相加再除以数值个数计算小数据集的平均数。在计划最后做一份限时综合复习卷——把它当作模拟测试来培养考试信心。翻阅这三周的笔记，并为自己的进步感到自豪。
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