📚 Year 7 CCEA Maths: Vocabulary & Terminology Quick Memory Guide | Year 7 CCEA 数学：词汇术语速记指南
Building a strong maths vocabulary in Year 7 is the key to understanding new concepts with confidence. This guide presents essential CCEA terminology with simple, memorable tricks that turn tricky terms into lasting knowledge. Use these pairings to boost your fluency in the language of numbers.
在 Year 7 数学中，巩固词汇术语是自信掌握新概念的关键。本指南涵盖 CCEA 核心术语，并配以简单好记的技巧，将难懂的词汇变成牢固的知识。跟着这些中英对照一起读，让数学语言更流畅。
1. Numbers and Place Value | 数字与位值
Integer: A whole number that is not a fraction or a decimal. Tip: ‘Integer’ contains ‘integ’—think of ‘integrity’, meaning whole.
整数: 不带分数或小数的完整数字。 提示：’Integer’ 里藏着 ‘完整’，就像一块没切过的蛋糕。
Digit: Any of the symbols 0,1,2,3,4,5,6,7,8,9. Remember: ‘digit’ also means finger — we first counted on our fingers.
数字: 从 0 到 9 的任何一个符号。 记忆法：’digit’ 也有手指的意思，人类最早用手指计数。
Place value: The value of a digit based on its position (e.g. tens, hundreds). Picture a house — its value depends on the neighbourhood.
位值: 数字因所在位置而具有的值（如十位、百位）。 想象一座房子，它的价值取决于地段；数字的价值取决于它在哪一位。
Negative number: A number less than zero, written with a minus sign (−). Think of temperatures below freezing: −3 °C.
负数: 小于零的数，用负号（−）表示。 想象冬天的气温，−3 °C 就是零下。
Greater than (>) / Less than (<): Symbols comparing sizes. The open mouth always faces the larger number: 7 > 4.
大于 (>) 与 小于 (<): 比较大小的符号。 鳄鱼的嘴巴总朝较大的数：7 > 4。
2. Operations: Addition & Subtraction | 运算：加法与减法
Sum: The result of adding two or more numbers. ‘Sum’ sounds like ‘some’ — you gather some numbers together.
和: 两个或多个数相加的结果。 ‘Sum’ 像 ‘some’（一些），把一些数聚在一起求和。
Add / Plus / Increase: To combine numbers. Visualise piling blocks up; the total climbs.
加 / 加上 / 增加: 把数合起来。 想象堆高积木，总数慢慢增加。
Difference: The result of subtracting one number from another. Ask “What’s the difference?” — it’s the gap between them.
差: 一个数减去另一个数的结果。 问 “差多少？” 就是找它们之间的距离。
Subtract / Minus / Decrease: To take away. Imagine a bottle of water losing some — the level decreases.
减 / 减去 / 减少: 拿走一部分。 像一瓶水倒出一些，水位下降。
3. Multiplication and Division Terms | 乘法与除法术语
Product: The answer when you multiply. ‘Product’ is what you ‘produce’ by multiplying factors together.
积: 乘法运算的结果。 把因数乘在一起，产出的就是积。
Factor: A number that divides exactly into another number. Factors come in pairs — think of them as ‘fact’ twins that multiply to give the product.
因数: 能整除另一个数的数。 因数总是成对出现，像一对孪生兄弟相乘得到原数。
Quotient: The answer in division. Quotient sounds like ‘quote’ — the final number you quote after division.
商: 除法运算的结果。 ‘Quotient’ 的发音跟 ‘quote’（报价）相似，是除法结束后你报出的那个数。
Remainder: The amount left over when division is not exact. It ‘remains’ because it couldn’t be shared equally.
余数: 不能整除时剩下的数。 因为不能平均分配，所以 ‘剩余’ 了下来。
Dividend ÷ Divisor = Quotient: In 15 ÷ 3 = 5, 15 is the dividend and 3 is the divisor. Think: the dividend is the ‘divvy-up’ total.
被除数 ÷ 除数 = 商: 在 15 ÷ 3 = 5 中，15 是被除数，3 是除数。 想象把 15 块钱分给 3 个人，钱就是被除数。
4. Fractions Essentials | 分数基础
Fraction: A part of a whole, written with a numerator and denominator. Fraction comes from Latin ‘frangere’ — to break.
分数: 整体的一部分，由分子和分母组成。 ‘Fraction’ 源自拉丁语 ‘打破’，把整体分成几份。
Numerator: The top number — how many parts you have. Numerator points North (up) like a number on a tower.
分子: 上面的数，表示取了几份。 分子居高临下，像塔顶的数字。
Denominator: The bottom number — the total number of equal parts. Denominator goes Down, tells you ‘how many parts make a whole’.
分母: 下面的数，表示整体被分成几等份。 分母在下面，决定整个分成多少块。
Equivalent fractions: Fractions that have the same value, e.g. 1/2 = 2/4. Equal in value, just with different names.
等值分数: 数值相等但形式不同的分数，如 1/2 = 2/4。 身份一样，只是叫法不同。
Mixed number: A whole number combined with a fraction, e.g. 1 ½. Mix a whole pizza with an extra slice.
带分数: 整数与分数结合，如 1 ½。 一整张披萨再加半块，混合起来就是带分数。
5. Decimals and Percentages | 小数与百分比
Decimal: A number that uses a decimal point followed by tenths, hundredths, etc. ‘Deci-‘ means ten, just like a decade is ten years.
小数: 使用小数点，后面是十分位、百分位等的数。 ‘Deci-‘ 表示十，十年就是 decade；小数以十分之一为基础。
Decimal point: The dot separating whole numbers from fractional parts. It’s the tiny punctuation mark that holds the place value line.
小数点: 隔开整数与分数部分的圆点。 小小的一个点，卡在位值线中间，非常关键。
Percentage (%): A fraction out of 100. ‘Per cent’ means ‘per hundred’ — imagine a grid of 100 squares.
百分比 (%): 以 100 为分母的分数。 ‘百分之’ 就是每一百个里的数量，想象 100 个格子的网格。
Convert: To change a number from one form to another (fraction ↔ decimal ↔ %). Think of converting a recipe from cups to grams.
转换: 把数的形式从一种变为另一种（分数 ↔ 小数 ↔ 百分比）。 犹如把食谱的杯子换算成克，换一套单位表达同样的数量。
6. Factors, Multiples and Primes | 因数、倍数与质数
Multiple: The result of multiplying a number by an integer, e.g. multiples of 3 are 3,6,9… Multiple jumps forward on the times table.
倍数: 一个数与整数相乘的结果，如 3 的倍数：3,6,9… 顺着乘法表向前跳，每一步都是一个倍数。
Common factor: A number that divides two or more numbers exactly. Common means shared; it’s a factor they have in common.
公因数: 能同时整除两个或更多数的数。 共产的’公’，大家一起分享的因数。
Prime number: A number greater than 1 that has exactly two factors: 1 and itself. Prime = ‘first in quality’, like a prime cut of beef — only you and the butcher.
质数: 大于 1 且只有两个因数（1 和它本身）的数。 质数就像仅被自己和 1 守护的珍宝。
Square number: A number multiplied by itself, e.g. 4² = 4 × 4 = 16. Picture a square array of dots; 4 by 4 makes a perfect square.
平方数: 一个数自乘的结果，如 4² = 4 × 4 = 16。 想象 4 行 4 列的点阵，正好摆成一个正方形。
Cube number: A number multiplied by itself twice, e.g. 2³ = 2 × 2 × 2 = 8. Build a cube with 2 blocks along each edge — that’s 8 blocks.
立方数: 一个数自乘两次，如 2³ = 2 × 2 × 2 = 8。 用积木搭一个每边 2 个的立方体，总块数就是 8。
7. Algebraic Expressions | 代数表达式
Variable: A symbol (often a letter) that stands for an unknown number. It ‘varies’, so it can take different values.
变量: 代表未知数的符号（常用字母）。 它会变化的量，可以是不同的数。
Expression: A combination of numbers, variables and operations, e.g. 3a + 2. An expression is a maths phrase — no equals sign.
表达式: 由数字、变量和运算符号组合而成，如 3a + 2。 表达式像数学的短语，没有等号。
Equation: A statement that two expressions are equal, containing an equals sign. Equate means ‘make equal’ — like a balanced seesaw.
方程: 表示两个表达式相等的语句，含有等号。 方程就像一架平衡的跷跷板，两边相等。
Simplify: To write an expression in its shortest form, e.g. 2x + 3x = 5x. Simplify means ‘make simpler’ — combine like terms.
化简: 把表达式写成最简形式，如 2x + 3x = 5x。 化简就是让它更简单，合并同类项。
Substitute: To replace a variable with a number. Like a substitute teacher — they swap in.
代入: 用数字替换变量。 就像代课老师，临时替换进来。
8. 2D Shapes and Symmetry | 二维图形与对称
Polygon: A closed 2D shape with straight sides. ‘Poly’ means many, ‘gon’ means angles — many angles.
多边形: 由直线边围成的封闭二维图形。 ‘Poly’ 是多，’gon’ 是角，合起来就是多角形。
Triangle: A polygon with 3 sides and 3 angles. Tri- means three, as in tricycle.
三角形: 有三条边和三个角的多边形。 ‘Tri-‘ 意思是三，就像三轮车。
Quadrilateral: A polygon with 4 sides, e.g. square, rectangle. ‘Quad’ means four, like a quad bike.
四边形: 有四条边的多边形，如正方形、长方形。 ‘Quad’ 表示四，四轮摩托就是 quad bike。
Symmetry: A shape has symmetry if it can be folded along a line so both halves match exactly. Symmetry — same on both sides of the mirror line.
对称: 图形沿一条线对折后两边完全重合的性质。 对称就像照镜子，线的两边一模一样。
Regular polygon: All sides and angles are equal, e.g. a regular hexagon. Regular = standard, flawless shape.
正多边形: 所有边和角都相等的多边形，如正六边形。 正就是规矩，每条边每个角都一样。
9. Angles and Lines | 角与线
Angle: The space between two intersecting lines, measured in degrees (°). Angle open wide — think of an alligator’s jaw.
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