📚 Quick Memorisation Guide for Year 8 WJEC Maths Vocabulary | Year 8 WJEC 数学词汇术语速记指南
Mastering mathematical vocabulary is just as important as learning how to calculate. When you understand the language of maths, word problems become less cryptic, and you can follow instructions in exams with confidence. This guide is designed to help Year 8 WJEC students quickly memorise and recall essential maths terms using paired translations, simple explanations, and proven memory techniques.
掌握数学词汇与学会计算同样重要。当你理解了数学语言，文字题就不再神秘难解，考试时也能自信地遵循指令。本指南旨在帮助 Year 8 WJEC 学生通过中英配对、简明解释和行之有效的记忆技巧，快速记住并回忆起核心数学术语。
1. Number Terms | 数论词汇
Integer: A whole number that can be positive, negative, or zero. Think of an integer as a complete number with no fractional part.
整数：可以是正数、负数或零的完整数字，没有小数或分数部分。可以把整数想象成没有尾巴的完整数字。
Factor: A number that divides another number exactly without leaving a remainder. For example, factors of 12 are 1, 2, 3, 4, 6, and 12. Remember factors always come in pairs.
因数：能整除另一个数而没有余数的数。例如，12 的因数有 1、2、3、4、6 和 12。记住因数总是成对出现的。
Multiple: The product you get when you multiply a number by any integer. The first few multiples of 7 are 7, 14, 21, 28... A quick tip: a multiple is the result of the multiplication table.
倍数：将一个数与任意整数相乘得到的结果。7 的前几个倍数是 7、14、21、28... 小窍门：背乘法表就是在背倍数。
Prime Number: A number greater than 1 that has exactly two factors – 1 and itself. 2 is the only even prime number, so it stands out.
质数（素数）：大于 1 且恰好只有两个因数（1 和自身）的数。2 是唯一的偶数质数，所以很容易记住。
Square Number e notation 5² means 5 × 5 = 25. Visualise a literal square of dots to recall this concept.
平方数：一个数与自己相乘的结果。符号 5² 表示 5 × 5 = 25。想象一个由点排列成的实际正方形，就很容易想起这个概念。
Reciprocal: One divided by the number. The reciprocal of 4 is ¼. Reciprocals ‘flip’ the number over, so think of turning a fraction upside down.
倒数：用 1 除以这个数。4 的倒数是 ¼。倒数就是把数字“翻转”过来，想象把分数颠倒放置。
2. Algebra Terms | 代数学词汇
Variable: A symbol, often a letter like x or y, that stands for an unknown value. Picture a variable as an empty box waiting to be filled with a number.
变量：通常用一个字母（如 x 或 y）表示未知量的符号。把变量想象成一个等待填入数字的空盒子。
Coefficient: The number in front of a variable that tells you how many of that variable you have. In 3y, the coefficient is 3. It is the multiplier glued to the letter.
系数：放在变量前面的数字，表明有多少个该变量。在 3y 中，系数是 3。它是紧贴在字母前面的乘数。
Expression: A combination of numbers, variables, and operations but without an equals sign. Think of an expression as a phrase, not a complete sentence.
表达式：由数字、变量和运算符组合而成，但没有等号。可以把表达式看作一个短语，而不是完整的句子。
Equation: A mathematical statement that two expressions are equal, always containing an equals sign. 'Equation' and 'equals' both start with 'equa', so the link is strong.
方程：表明两个表达式相等的数学命题，总是包含等号。“Equation” 和 “equals” 都有 “equa”，这个联系很紧密。
Like Terms : Terms that have exactly the same variable and exponent. You can add or subtract like terms: 5a + 2a = 7a. They are like matching fruits – you can only combine apples with apples.
同类项：变量和指数完全相同的项。同类项可以相加或相减：5a + 2a = 7a。它们就像相同的水果，只能苹果和苹果相加。
Simplify: To make an expression shorter or easier to work with by collecting like terms. Simpler is always better.
化简：通过合并同类项，使表达式更短、更容易处理。越简单越好。
Inequality ity sign always points to the smaller number, like a hungry mouth wanting the bigger meal.
不等式：用 <, >, ≤, ≥ 等符号表示两个值不相等的关系。不等号总是开口朝向较小的数，就像一张饥饿的嘴巴想要大吃一口。
3. Geometry Terms | 几何学词汇
Acute Angle: An angle that measures between 0° and 90°. Think of it as ‘a cute little angle’ – small and sharp.
锐角：度数在 0° 到 90° 之间的角。可以联想为“尖锐的小角”，又尖又小。
Obtuse Angle: An angle greater than 90° but less than 180°. It sounds like ‘obese’ – a big, wide angle.
钝角：大于 90° 但小于 180° 的角。听起来像“肥胖的”——一个又大又宽的角。
Reflex Angle: An angle between 180° and 360°. Imagine the angle bending back on itself like a reflex action.
优角（反射角）：度数在 180° 到 360° 之间的角。想象这个角像条件反射一样向后弯曲。
Parallel Lines: Straight lines that never meet, no matter how far they are extended. Railway tracks are the classic real-life example of parallel lines.
平行线：无论怎样延伸都永远不相交的直线。铁轨就是平行线最经典的现实例子。
Perpendicular Lines: Lines that intersect at a right angle (90°). The corner of a piece of A4 paper shows two perpendicular edges.
垂直线：相交成直角（90°）的直线。一张 A4 纸的角落就展示了两条垂直的边。
Polygon: A closed 2D shape made from straight sides. Break it down: 'poly' means many, 'gon' means angle. Triangles, quadrilaterals, pentagons are all polygons.
多边形：由直线边组成的封闭二维图形。拆解词义：‘poly’ 表示多，‘gon’ 表示角。三角形、四边形、五边形都是多边形。
Symmetry: A shape has symmetry if you can draw a line through it and one half is the mirror image of the other. Some letters like A and H have line symmetry.
对称：如果画一条穿过图形的线，图形的一半是另一半的镜像，就说明这个图形具有对称性。字母 A 和 H 就具有线对称。
4. Statistics & Probability Terms | 统计与概率词汇
Mean: The sum of all values divided by the number of values. It is the centre of balance. Think of the mean as sharing out all the data equally.
平均数（均值）：所有数值的总和除以数据的个数。它是平衡的中心。可以把平均数想象成把所有数据公平分配。
Median: The middle value when the data is arranged in order. The median splits the data set into two equal halves. 'Median' sounds like 'medium' – right in the middle.
中位数：将数据按顺序排列后，处于中间位置的那个值。中位数把数据分成相等的两半。“Median” 听起来像 “medium”——刚好在中间。
Mode: The value that appears most often in a data set. Remember it as the 'most' frequent. 'Mode' and 'most' both start with 'mo'.
众数：数据集中出现次数最多的值。记住它就是“最”常见的。众数 (mode) 和 “最” (most) 发音相近，便于记忆。
Range: The difference between the largest and smallest values. It shows how spread out the data is. Just subtract the minimum from the maximum.
极差（范围）：最大值与最小值之间的差。它显示了数据的分散程度。用最大值减去最小值即可。
Probability: A measure of how likely an event is to happen, expressed as a fraction, decimal, or percentage between 0 and 1. 0 means impossible, 1 means certain.
概率：事件发生可能性的度量，用介于 0 和 1 之间的分数、小数或百分比表示。0 表示不可能，1 表示必然发生。
Outcome: One possible result of an experiment or event. When you roll a die, getting a 4 is one outcome. To master probability, list all possible outcomes first.
结果：实验或事件的一种可能情况。掷骰子得到 4 点就是一个结果。要掌握概率，先列出所有可能的结果。
5. Measurement Terms | 测量词汇
Perimeter: The total distance around the outside of a 2D shape. You can imagine walking along the fence of a field – the distance you cover is the perimeter. The formula is the sum of all side lengths.
周长：围绕二维图形外边缘的总距离。想象沿着田野的栅栏走一圈，走过的距离就是周长。公式是所有边长的总和。
Area m²). Think of area as the number of 1 cm × 1 cm tiles that would cover a surface exactly.
面积：二维图形内部空间的大小，用平方单位（cm², m²）计量。想象用 1 cm × 1 cm 的瓷砖铺满表面，瓷砖的数量就是面积。
Volume: The amount of space occupied by a 3D object, measured in cubic units (cm³, m³). Volume is the capacity of a solid – how much it can hold.
体积：三维物体所占空间的大小，用立方单位（cm³, m³）计量。体积就是固体的容积，即它能容纳多少东西。
Capacity: The maximum amount a container can hold, usually for liquids. Capacity and volume are closely linked, but capacity is typically quoted in millilitres or litres.
容量：容器最多能容纳的量，通常用于液体。容量和体积密切关联，但容量通常用毫升或升来表示。
Metric Units: The decimal-based system of measurement including millimetres, centimetres, metres, kilometres, grams, kilograms, millilitres, and litres. Prefixes give a clue: 'kilo-' means 1000, 'centi-' means 1/100, 'milli-' means 1/1000.
公制单位：基于十进制的测量体系，包括毫米、厘米、米、千米、克、千克、毫升和升。前缀透露了线索：‘kilo-’ 表示 1000，‘centi-’ 表示 1/100，‘milli-’ 表示 1/1000。
Conversion cm, 1 km = 1000 m. Use a conversion ladder to help you multiply or divide by powers of 10.
单位换算：在不同单位之间进行转换。需要记住的关键事实：1 cm = 10 mm，1 m = 100 cm，1 km = 1000 m。使用换算阶梯帮助你乘以或除以 10 的幂。
6. Mnemonic Technique: Association | 速记技巧：联想记忆
One of the most powerful memory tricks is to link a new term to a vivid image, object, or story you already know. When you hear 'parallel', picture two railway tracks that never meet. For 'perpendicular', imagine the perfect corner of a page. The sillier or more personal the image, the stronger the memory.
最强大的记忆技巧之一，是把新术语与你已经知道的生动图像、物体或故事联系起来。当你听到“平行”时，想象两条永远不会相交的铁轨。对于“垂直”，想象一张纸完美的直角。图像越是荒诞或个性化，记忆就越牢固。
Associate 'area' with a real floor that needs tiling. To recall 'volume', think of filling a box with water. When remembering 'factor' and 'multiple', visualise a ‘factor factory’ that breaks numbers down, versus a ‘multiplication mountain’ that builds them up. This turns abstract words into concrete scenes.
把“面积”与需要铺瓷砖的实际地面联系起来。回想“体积”时，想象用水装满一个盒子的情景。记“因数”和“倍数”时，可以想象一座“因数工厂”把数字分解，而一座“乘法山”则把数字层层累加。这会把抽象词汇变成具体场景。
For probability terms, you might picture a number line from 0 to 1. Place 'impossible' at 0, 'even chance' at 0.5, and 'certain' at 1. The visual spectrum makes the relative meanings instantly clear.
对于概率术语，可以想象一条从 0 到 1 的数轴。把“不可能”放在 0，“等可能”放在 0.5，“必然”放在 1。这个视觉化的光谱能立刻阐明它们的相对含义。
7. Mnemonic Technique: Acronyms & Initialisms | 速记技巧：首字母缩略词
Acronyms compress a sequence of words into a single memorable word or phrase. For the order of operations, WJEC students use BIDMAS: Brackets, Indices, Division, Multiplication, Addition, Subtraction. You can remember it with a silly sentence like 'Big Iguanas Dance More And Sing'.
首字母缩略词将一连串单词压缩成一个易记的词或短语。运算顺序方面，WJEC 学生使用 BIDMAS：括号、指数、除、乘、加、减。你可以用一句俏皮话来记住：“Big Iguanas Dance More And Sing”。
To recall the trigonometric ratios, many students later learn SOH CAH TOA, but in Year 8 you can create your own acronyms for patterns like 'All Prime Numbers Are Odd' (not entirely true, but it helps recall that all primes after 2 are odd). When dealing with data, remember the three Ms: Mean, Median, Mode. Simply saying '3M' can trigger the right terms.
为了记住三角比，许多学生后来会学 SOH CAH TOA，但在 Year 8，你可以自创首字母缩略词来记规律，比如“所有质数都是奇数”（虽不完全对，但有助于记住除 2 外的质数都是奇数）。处理数据时，记住三个 M：Mean, Median, Mode。简单说一句“3M”就能唤起正确的术语。
For conversions in measurement, remember the phrase 'King Henry Died By Drinking Chocolate Milk' to recall the metric prefixes: Kilo, Hecto, Deca, Base, Deci, Centi, Milli. This anchors the prefixes in a story.
对于测量换算，记住“King Henry Died By Drinking Chocolate Milk”这句话，用以回忆公制前缀：Kilo, Hecto, Deca, Base, Deci, Centi, Milli。这会把前缀固定在一个故事中。
8. Mnemonic Technique: Etymology & Root Words | 速记技巧：词源与词根
Understanding Greek and Latin roots can unlock the meaning of dozens of maths terms at once. The prefix 'poly-' means many, so polygon, polynomial, polyhedron all involve many angles or parts. 'Tri-' means three: triangle, tricycle, tripod. 'Quad-' means four: quadrilateral, quadrant, quadruple.
理解希腊语和拉丁语词根可以一口气解锁几十个数学术语的含义。前缀 ‘poly-’ 表示“多”，所以 polygon（多边形）、polynomial（多项式）、polyhedron（多面体）都与许多角或许多部分有关。‘Tri-’ 表示三：triangle（三角形）、tricycle（三轮车）、tripod（三脚架）。‘Quad-’ 表示四：quadrilateral（四边形）、quadrant（象限）、quadruple（四倍）。
The suffix '-gon' means angle, so pentagon (5 angles), hexagon (6 angles), octagon (8 angles) all follow this pattern. 'Meter' or 'metry' relates to measure, as in perimeter (measuring around) and symmetry (measuring together). Knowing a handful of roots multiplies your mathematical vocabulary.
后缀 ‘-gon’ 表示“角”，所以 pentagon（五边形，5 个角）、hexagon（六边形，6 个角）、octagon（八边形，8 个角）都遵循这一模式。‘Meter’ 或 ‘metry’ 与“测量”有关，如 perimeter（周长，测量周围）和 symmetry（对称，一起测量）。掌握少量词根就能让数学词汇量成倍增长。
'Equi-' means equal, giving us equation, equilateral, equivalent. 'Bi-' means two: bisect (cut into two), binary, binomial. Spotting these building blocks will help you decode unfamiliar terms in exams without panic.
‘Equi-’ 表示“相等”，由此产生了 equation（方程）、equilateral（等边的）、equivalent（等价的）。‘Bi-’ 表示二：bisect（平分）、binary（二进制的）、binomial（二项式）。发现这些构词模块，能让你在考试中不慌不忙地破解陌生术语。
9. Commonly Confused Pairs | 常见易混淆术语辨析
Factor vs Multiple are factors of 15, while 15 is a multiple of both 3 and 5. A good check: factors are usually smaller, multiples are larger (except for 1 and the number itself).
因数与倍数：因数可以整除一个数；倍数是乘法运算得到的结果。如 3 × 5 = 15，那么 3 和 5 是 15 的因数，而 15 是 3 和 5 的倍数。一个简单的判别：因数通常较小，倍数通常较大（除 1 和数字本身外）。
Expression vs Equation: An expression is like a phrase – it doesn't state a complete thought. An equation is a full sentence with an equals sign. '4x + 2' is an expression; '4x + 2 = 10' is an equation. If there is no equals sign, it can't be solved, only simplified.
表达式与方程：表达式像一个短语，不表达完整的思想。方程是有等号的完整句子。‘4x + 2’ 是表达式；‘4x + 2 = 10’ 是方程。如果没有等号，就无法求解，只能化简。
Perimeter vs Area: Perimeter is the length around the edge; area is the space inside. You measure perimeter in units like centimetres; area in square units. Think of a fence (perimeter) versus the lawn it surrounds (area).
周长与面积：周长是边缘的长度；面积是内部的空间。周长用厘米等长度单位来衡量；面积用平方单位。可以想象成篱笆（周长）与篱笆围住的草坪（面积）。
Mean vs Median: Mean is calculated by adding and dividing, so it is affected by extreme values. Median is the middle number, resistant to outliers. In a data set like 1, 2, 3, 100, the mean is 26.5, but the median is 3, which represents the typical value better.
平均数与中位数：平均数是求和再相除得到的，因此受极端值影响。中位数是中间的数，不受异常值影响。在数据集 1, 2, 3, 100 中，平均数是 26.5，但中位数是 3，更能代表典型值。
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