📚 Year 8 Edexcel Maths: Quick Memorisation Guide for Key Vocabulary & Terminology | 八年级Edexcel数学:关键词汇术语速记指南
In Year 8 Edexcel Maths, mastering the correct terminology is just as important as solving problems. This bilingual guide breaks down essential mathematical words into memorable chunks, helping you build confidence when reading questions, explaining your reasoning and tackling tests. Each term comes with a simple memory trick so you can recall it quickly under pressure.
在八年级Edexcel数学中,掌握正确的术语与解决问题同样重要。这份双语指南将核心数学词汇拆解成易于记忆的小块,帮助你在读题、解释思路和应对考试时建立信心。每个术语都配有简洁的记忆窍门,让你在关键时刻快速回想。
1. Number Basics | 数字基础
Integer: A whole number that can be positive, negative or zero, e.g. -3, 0, 7. Think ‘integer’ sounds like ‘entire’ – a complete whole number without fractions.
整数:可以是正数、负数或零的整数,例如 -3, 0, 7。联想 ‘integer’ 发音像 ‘entire’(完整的)—— 一个没有分数的完整数字。
Prime number: A number greater than 1 that has exactly two factors: 1 and itself. The word ‘prime’ suggests ‘primary’ – the building blocks of all numbers.
质数(素数):大于 1 且恰好只有两个因数(1 和自身)的数。’prime’ 提示 “主要的” —— 所有数字的积木块。
Factor: A whole number that divides exactly into another number with no remainder. If 3 is a factor of 12, then 12 ÷ 3 = 4 exactly. Visualise factors coming in pairs.
因数(因子):能整除另一个数的整数,无余数。若 3 是 12 的因数,则 12 ÷ 3 = 4 恰好。想象因数总是成对出现。
Multiple: The result of multiplying a number by an integer, e.g. multiples of 5 are 5, 10, 15… Imagine ‘multiple’ like ‘many copies’ of that number.
倍数:一个数乘以整数得到的结果,例如 5 的倍数:5, 10, 15… 联想 ‘multiple’ 如同该数的 “许多复制品”。
Square number: The product of a number multiplied by itself, e.g. 4² = 4×4 = 16. Remember the shape of a square: equal sides, so multiplying a number by itself fits perfectly.
平方数:一个数自乘的积,例如 4² = 4×4 = 16。联想正方形的形状:边长相等,所以自乘正好对应等边。
Cube number: A number multiplied by itself twice, e.g. 2³ = 2×2×2 = 8. Picture a 3D cube built from unit cubes.
立方数:一个数自乘两次的结果,例如 2³ = 2×2×2 = 8。想象用单位小方块搭成的三维立方体。
2. Fractions, Decimals and Percentages | 分数、小数和百分比
Numerator: The top part of a fraction, showing how many parts we have. Think ‘N’ for ‘North’ – numerator is up top.
分子:分数的上部分,表示我们有多少份。联想 ‘N’ 代表 ‘North’(北方)—— 分子在上方。
Denominator: The bottom part of a fraction, showing how many equal parts the whole is divided into. ‘D’ stands for ‘Down’, the denominator sits below.
分母:分数的下部分,表示整体被等分成多少份。’D’ 代表 ‘Down’(下方)—— 分母在下方。
Equivalent fractions: Fractions that represent the same amount, e.g. 1/2 = 2/4 = 4/8. ‘Equivalent’ means equal in value – you get them by multiplying or dividing numerator and denominator by the same number.
等值分数:表示相同大小的分数,如 1/2 = 2/4 = 4/8。’Equivalent’ 指价值相等——分子分母同乘或同除一个数得到。
Terminating decimal: A decimal that comes to an end, such as 0.75 or 0.2. Like a bus journey that ‘terminates’ – it does not go on forever.
有限小数:会结束的小数,如 0.75 或 0.2。就像公共汽车到了 “终点站” —— 不会无限延续。
Recurring decimal: A decimal with a digit or group of digits that repeat forever, often shown with a dot or bar, e.g. 0.333… = 0.3̇. The repeating part ‘recurs’ endlessly.
循环小数:有一个或一组数字无限重复的小数,常用点或横线标记,如 0.333… = 0.3̇。重复部分 ‘recurs’(循环)不息。
Percentage: A fraction out of 100, symbol %. ‘Per cent’ literally means ‘per hundred’. To remember, picture a 100-square grid.
百分比:分母为 100 的分数,符号 %。’Per cent’ 字面意思就是 “每一百”。记忆时可想象一个百格网格。
3. Algebra: Expressions and Equations | 代数:表达式与方程
Variable: A letter or symbol that stands for an unknown number, often x or y. Think of it as a box waiting to be filled with a value.
变量:用字母或符号代表未知数,常见有 x 或 y。想象成一个待填入数值的盒子。
Coefficient: The number part in front of a variable, e.g. in 5x, 5 is the coefficient. It tells you ‘how many’ of that variable.
系数:变量前面的数字部分,如 5x 中 5 是系数。它告诉你该变量的 “数量”。
Term: A single number, variable, or product of numbers and variables, e.g. 7, 3a, 2ab. Terms are separated by + or − signs in an expression.
项:一个单独的数、变量或数与变量的乘积,如 7, 3a, 2ab。在表达式中,项由加号或减号隔开。
Expression: A combination of terms without an equals sign, like 4x + 3. An expression is a phrase, not a full sentence (equation).
表达式:没有等号的项的集合,如 4x + 3。表达式像短语,不是完整的句子(方程)。
Equation: A mathematical statement showing two expressions are equal, with an equals sign, e.g. 2x + 1 = 9. Remember ‘equals’ is at its heart.
方程:表明两个表达式相等的数学陈述,含有等号,如 2x + 1 = 9。牢记其核心是 “相等”。
Like terms: Terms that have identical variable parts, e.g. 3x and 5x are like terms; 3x and 3x² are not. Collecting like terms is like gathering identical fruit.
同类项:含有完全相同的变量部分的项,如 3x 与 5x 是同类项;3x 与 3x² 则不是。合并同类项就像把相同的水果归到一起。
4. Sequences and Functions | 数列与函数
Sequence: An ordered list of numbers following a rule, e.g. 3, 6, 9, 12… Each number is a ‘term’ of the sequence. Think of a train of numbers following the rails of a rule.
数列:按一定规则排列的一列数,如 3, 6, 9, 12… 每个数都是数列的一项。想象一列数字火车沿着规则轨道行驶。
Term-to-term rule: A rule that tells you how to get from one term to the next, e.g. ‘add 3’. Link the word ‘term’ to ‘next term’.
逐项规则:告诉你如何从一项得到下一项的规则,如 “加 3″。将 “term” 与 “下一项” 联系起来。
Position-to-term rule (nth term rule): A formula that finds any term based on its position n. For 3, 6, 9, 12…, the nth term is 3n. ‘Position’ means its place in line.
第 n 项公式(位置到项规则):根据位置 n 找出任意一项的公式。对于 3, 6, 9, 12…,第 n 项为 3n。”Position” 就是它在队伍中的位置。
Function: A special relationship where each input has exactly one output, often written as f(x). Picture a number machine: input → rule → output.
函数:一种特殊关系,每个输入恰好对应一个输出,常写作 f(x)。想象一台数字机器:输入 → 规则 → 输出。
Input / Output: The value you put into a function (input) and the value you get out (output). Like feeding a number into a slot machine – the input and the prize output.
输入 / 输出:你放入函数的值(输入)和得到的结果(输出)。就像把数字投进机器,输入后得到输出奖品。
5. Geometry: Angles and Shapes | 几何:角与形状
Acute angle: An angle less than 90°. ‘A’ for ‘acute’ and ‘a’ for ‘a little’, small and cute (acute).
锐角:小于 90° 的角。联想 ‘acute’ 音似 “a cute”(一个可爱的),小小的很可爱。
Right angle: Exactly 90°, often marked with a small square corner. A ‘right’ angle is the most common building block, like the corner of a book.
直角:恰好 90°,常用小方块标记。直角是最常见的构件,如同书本的角。
Obtuse angle: An angle between 90° and 180°. Think ‘obtuse’ sounds like ‘obese’ – larger, ‘fat’ angle.
钝角:介于 90° 和 180° 之间的角。联想 ‘obtuse’ 像 ‘obese’(肥胖的),一个胖胖的大角。
Reflex angle: An angle greater than 180° but less than 360°. It ‘flexes’ backwards beyond a straight line. Remember a reflex action – bending the arm back.
优角(反射角):大于 180° 但小于 360° 的角。它向后 “反射” 越过直线。联想反射动作,手臂向后弯。
Parallel lines: Lines that never meet, always the same distance apart. They look like the two ‘l’ letters in ‘parallel’.
平行线:永不相交、间距始终相等的线。它们看起来像 ‘parallel’ 这个单词里的两个字母 ‘l’。
Perpendicular lines: Lines that intersect at a right angle (90°). Picture a perfect ‘T’ junction – upright and crossbar meet perpendicularly.
垂直线:以直角(90°)相交的直线。想象一个完美的 T 字形路口——竖杆与横杆垂直相交。
6. Perimeter, Area and Volume | 周长、面积与体积
Perimeter: The total distance around the outside of a 2D shape. Think ‘peri-meter’ – the ‘perimeter’ measures around, like a fence.
周长:二维图形外边界的总长度。联想 ‘peri’ 表示周围,’meter’ 表示测量——像围栏一样围绕。
Area: The amount of space inside a 2D shape, measured in square units (cm², m²). Remember ‘area’ sounds like ‘air’ – the space a carpet covers.
面积:二维图形内部空间的大小,用平方单位(cm², m²)度量。’area’ 谐音 “air”,就像地毯覆盖的空间。
Volume: The amount of space inside a 3D solid, measured in cubic units (cm³, m³). ‘Volume’ is like how loud a sound fills a room – here it fills the shape.
体积(容积):三维立体内部空间的大小,用立方单位(cm³, m³)度量。’Volume’ 也指音量,声音充满房间——这里指充满立体。
Compound shape: A shape made by combining two or more simpler shapes. To find its area or perimeter, split it into familiar figures.
复合图形:由两个或多个简单图形组合而成的形状。求其面积或周长时,可拆分为熟悉图形。
Formula: A mathematical rule expressed in symbols, e.g. A = l × w for area of a rectangle. Think of a formula as a recipe for calculation.
公式:用符号表达的数学规则,如长方形面积 A = l × w。将公式视为计算的 “食谱”。
Area of rectangle = length × width, A = lw
长方形面积 = 长 × 宽,A = lw
7. Measures and Units | 计量与单位
Metric units: The standard measurement system using metres, grams, litres, etc. The prefixes have a pattern: kilo- (1000), centi- (1/100), milli- (1/1000).
公制单位:使用米、克、升等的标准测量体系。前缀有规律:kilo-(千)、centi-(百分之一)、milli-(千分之一)。
Mass: The amount of matter in an object, measured in grams (g) or kilograms (kg). Unlike weight, mass does not change with gravity. Link ‘mass’ with ‘massive’.
质量:物体所含物质的多少,用克(g)或千克(kg)衡量。与重量不同,质量不随重力改变。联 ‘mass’ 与 ‘massive’(巨大的)。
Capacity: The maximum amount a container can hold, measured in litres (l) or millilitres (ml). Think of a cup’s capacity – how much it can contain.
容量:容器能容纳的最大量,用升(l)或毫升(ml)衡量。想象杯子的容量——它能装多少。
Conversion: Changing a measurement from one unit to another, e.g. 1 m = 100 cm. Use conversion factors and the ‘multiply or divide’ rule.
换算:将度量从一种单位变为另一种,如 1 m = 100 cm。使用换算系数和 “乘或除” 规则。
Compound units: Units that combine two measurements, like speed (km/h) or density (g/cm³). Read the slash ‘/’ as ‘per’.
复合单位:结合两个测量量的单位,如速度(km/h)或密度(g/cm³)。将斜线 ‘/’ 读作 “每”。
8. Statistics and Graphs | 统计与图表
Data: A collection of facts, numbers or measurements. ‘Data’ is plural (singular: datum). Picture a database full of information.
数据:事实、数字或测量结果的集合。’Data’ 是复数(单数:datum)。想象一个充满信息的数据库。
Frequency: How often something occurs. In a frequency table, the count tells you how many times each value appears.
频数(频率):某事物发生的次数。在频数表中,计数告诉你每个值出现了多少次。
Mean: The average found by adding all values and dividing by the number of values. Call it the ‘sharing it out equally’ value.
平均数(均值):将所有值相加再除以值的个数得到的平均值。可称为 “公平分摊” 值。
Median: The middle value when data is ordered. ‘Median’ sounds like ‘medium’ – the middle one.
中位数:数据排序后正中间的数值。’Median’ 像 ‘medium’(中等的)—— 中间的那个。
Mode: The value that appears most often. ‘Mode’ rhymes with ‘most’ – the most frequent value.
众数:出现次数最多的值。’Mode’ 与 ‘most’ 押韵——最频繁的那个。
Range: The difference between the largest and smallest values. It shows how spread out the data is. Like the ‘mountain range’ – span from low to high.
极差(范围):最大值与最小值之差。它显示数据的分散程度。像山脉的跨度——从低到高。
9. Probability | 概率
Probability: A measure of how likely an event is, from 0 (impossible) to 1 (certain). Think of a weather forecast saying 80% chance of rain – that’s probability.
概率:事件发生的可能性度量,从 0(不可能)到 1(必然)。想象天气预报说 80% 降雨可能——那就是概率。
Outcome: A possible result of an experiment, e.g. getting a 4 on a dice roll. The ‘out’ in outcome suggests what comes out of the trial.
结果:试验的一个可能结果,如掷骰子得到 4。’Outcome’ 中的 ‘out’ 暗示试验出来的结果。
Event: A set of one or more outcomes, often what we are looking for. ‘Event’ → something that ‘happens’ in the probability scenario.
事件:一个或多个结果的集合,通常是我们关注的目标。’Event’ 即概率场景中 “发生” 的事情。
Equally likely: When all outcomes have the same chance of occurring, like a fair coin toss. ‘Equal’
Published by TutorHao | Year 8 Mathematics Revision Series | aleveler.com
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