📚 Year 7 CIE Advanced Mathematics: A Quick Guide to Memorising Key Vocabulary and Terminology | Year 7 CIE 进阶数学：核心词汇术语速记指南
Mastering key mathematical vocabulary is the first step to excelling in Year 7 CIE Advanced Maths. This guide gives you clever mnemonics, word roots, and quick tips to lock essential terms into your memory.
掌握核心数学词汇是攻克 Year 7 CIE 进阶数学的第一步。本指南为你提供巧妙的助记法、词根和快速提示，帮你牢牢记住每一个重要术语。
1. Integers and Number Types | 整数与数系类型
Integer – a whole number that can be positive, negative, or zero; never a fraction or decimal. Mnemonic: 'Integer' sounds like 'intact' – think of a number that is complete and unbroken.
整数 – 可以是正、负或零的完整数，永远不带分数或小数。助记：Integer 听起来像 "intact"（完整的），想象它是一个毫无破损的完整数字。
Prime number – a number greater than 1 that has exactly two distinct factors: 1 and itself. Memory trick: 'prime' means first-rate or fundamental, just like prime numbers are the 'building blocks' of all numbers.
质数（素数） – 大于1且只有两个不同因数（1和它本身）的数。记忆法："prime" 有“首要”的意思，质数就像是所有数的“基本积木”。
Factor – a number that divides exactly into another number with no remainder. Visual hint: 'factor' contains the word 'act' – think of factors acting together to produce a number through multiplication.
因数 – 能整除另一个数而没有余数的数。形象记忆：factor 里面有 "act"（行动），因数如同演员合作，通过相乘“产生”另一个数。
Multiple – the result of multiplying a number by any integer. E.g., multiples of 4 are 4, 8, 12, ... Quick link: 'multiple' means many, so you get many copies of the number.
倍数 – 一个数乘以任意整数得到的结果。例如4的倍数：4, 8, 12... 速记：multiple 本身含有“许多”的意思，你会得到该数的许多个复制版。
Even/Odd – in 0,2,4,6,8); odd numbers cannot be divided equally by 2 (ending in 1,3,5,7,9). Mnemonic: 'Even' = can be split into two equal parts; 'Odd' = one left over, like an odd sock without its pair.
偶数/奇数 – 偶数能被2整除（末位为0,2,4,6,8）；奇数不能被2整除（末位1,3,5,7,9）。助记：Even 还能表示“平均的”，所以可以分成两等份；Odd 就像落单的袜子，总多出一个。
2. Fractions, Decimals and Percentages | 分数、小数与百分比
Numerator – the top part of a fraction; it represents how many parts we have. Memory aid: 'Numerator' shares its root with 'number' – it counts the parts.
分子 – 分数上面的部分，表示我们取了多少份。记忆法：Numerator 和 "number"（数字）词根相同，它负责“数出”份数。
Denominator – the bottom part of a fraction; it tells us the total number of equal parts. Think of 'denominator' as a 'denominator' that names the size of the pieces, just like 'denomination' categorises money.
分母 – 分数下面的部分，表示整体被分成了多少等份。联想：Denominator 和 "denomination"（面额）相似，分母告诉你每个等份的“大小”。
Equivalent fractions – different fractions that represent the same value, e.g., ½ = 2/4. The 'equi-' prefix means equal. Tip: You can generate them by multiplying or dividing numerator and denominator by the same number.
等值分数 – 形式不同但数值相同的分数，如 ½ = 2/4。"equi-" 前缀表示相等。提示：将分子分母同时乘或除以同一个数，就能得到等值分数。
Improper fraction – a fraction where the numerator is larger than the denominator, e.g., 7/4. It looks 'improper' because it is top-heavy, but it is just another way to write a mixed number.
假分数 – 分子大于分母的分数，如 7/4。它看上去头重脚轻、“不合适”，但实际上只是带分数的另一种写法。
Percent (%) – literally 'per hundred'. The symbol % suggests a division by 100; 20% means 20/100. Remember: 'cent' means 100, as in century or centipede.
百分比 (%) – 字面意思“每百”。% 符号暗示除以100；20% 就是 20/100。记忆："cent" 表示百，如同 century（百年）和 centipede（百足虫）。
3. Ratio and Proportion | 比与比例
Ratio – a comparison of two or more quantities, often written with a colon (:) e.g., 2:3. Think of a ratio as a recipe: 'for every 2 parts of A, there are 3 parts of B'.
比 – 对两个或多个量的比较，常用冒号表示，如 2:3。把比想象成食谱：“每2份A对应3份B”。
Proportion – an equation stating that two ratios are equal, e.g., 1/2 = 3/6. Word clue: 'proportion' contains 'portion', meaning a part – equal portions suggest balance.
比例 – 表示两个比相等的等式，如 1/2 = 3/6。词根提示："proportion" 包含 "portion"（部分），相等的部分保证了平衡。
Scale – the ratio between a length on a map or drawing and the actual length. Fast recall: 'scale' is like a ladder – you scale up or down to change size proportionally.
比例尺 – 地图或图纸上的长度与实际长度的比值。速记："scale" 有梯级之意，你可以按比例放大或缩小尺寸。
Scale factor – the multiplier used to enlarge or reduce a shape. When the scale factor is 3, every side becomes three times longer. Mnemonic: it is the 'factor' that changes the 'scale'.
比例因子 – 用于放大或缩小图形的乘数。当比例因子为3时，每条边都变长三倍。助记：它就是改变“尺度”的“因子”。
4. Algebraic Expressions and Terms | 代数表达式与项
Variable – a letter (e.g., x, y) that stands for a number we do not yet know. It can vary in different situations. Think of a variable box that can hold different values.
变量 – 用字母（如x, y）代表一个未知的数，它可以在不同情况中变化。就像一只可以装不同数值的“可变盒子”。
Constant – a fixed number that does not change, such as 5 or −2. The opposite of a variable; 'constant' means staying the same.
常量 – 一个固定不变的数，比如5或−2。它是变量的反面；"constant" 意为恒定不变。
Coefficient – the number placed before a variable, e.g., the 3 in 3x. Memory tool: 'co-efficient' suggests working together – the coefficient and the variable multiply together to form a term.
系数 – 变量前的数，如 3x 中的 3。记忆法："co-efficient" 像是“共同作用”，系数与变量相乘构成一个项。
Like terms – terms that have exactly the same variable part, such as 2a and 5a. They are 'alike' and can be combined. Unlike terms (e.g., 3a and 2b) cannot be added directly.
同类项 – 变量部分完全相同的项，如 2a 和 5a。它们“相像”，可以合并。异类项（如3a和2b）不能直接相加。
Expand – to multiply out brackets, e.g., 2(x+3) becomes 2x+6. Visualise 'expanding' something compressed – you spread it out to its full form.
展开 – 将括号乘开，如 2(x+3) 化为 2x+6。想象把一个压缩的东西“展开”铺平，让它露出全貌。
5. Equations and Inequalities | 方程与不等式
Equation – equal, shown by the equals sign =. Think of a balanced seesaw: both sides weigh the same.
方程 – 用等号 = 表示两个表达式相等的数学语句。想象一架平衡的跷跷板：两边重量完全一样。
Inequality – de is not equal to the other. The symbol resembles an open mouth eating the larger number.
不等式 – 使用 <, >, ≤ 或 ≥ 比较两个表达式的语句，表明两边不相等。符号像一张张大嘴，朝着较大的数字。
Solution – alue that makes an equation or inequality true. For x+2=5, the solution is x=3. A solution 'solves' the puzzle.
解 – 使方程或不等式成立的数值。例如 x+2=5 的解是 x=3。有了“解”，谜题就被解开了。
Balance method – a technique for solving equations where you perform the same operation on both sides to keep the balance. 'What you do to one side, do to the other.'
天平法（平衡法） – 解方程时，对方程两边同时进行相同运算以保持平衡。“一边做了什么，另一边就做什么。”
6. Sequences and Patterns | 数列与模式
Sequence – an ordered list of numbers that follows a rule. Example: 2, 5, 8, 11,... is a sequence. 'Sequent' is related to 'following', so numbers follow each other.
数列 – 按照某种规则排列的一列数。例如 2, 5, 8, 11... 就是一个数列。"Sequence" 与“连续”有关，数字依次出现。
Term – each individual number in a sequence. The first term of 3,7,11,15 is 3. Think of a 'term' as a named item in a list.
项 – 数列中的每一个数。数列 3,7,11,15 的第一项是3。把“项”想象成列表中有名字的条目。
Arithmetic sequence – a sequence where you add or subtract the same amount to get from one term to the next. The word 'arithmetic' points to simple adding.
等差数列 – 相邻两项的差保持不变的数列。"Arithmetic" 一词暗示与基本加减有关。
Common difference – the constant amount added (or subtracted) in an arithmetic sequence. In 4,9,14,19 the common difference is 5. It is the 'difference' that is 'common' to all steps.
公差 – 等差数列中固定加减的数。数列 4,9,14,19 的公差是 5。它是每一步都“共同”的“差”。
nth term – a formula that allows you to find any term in a sequence without listing all previous terms. Often written as an algebraic expression, like 3n+1. The 'n' stands for the position number.
第 n 项（通项） – 无需列出前面所有项就能求出数列中任意项的公式，通常写作代数式，如 3n+1。n 代表位置序号。
7. Statistics: Averages and Spread | 统计：平均值与散布
Mean – the average of a set of numbers, found by dividing the sum by the count of values. Mnemonic: 'Mean' is the 'mean' (average) of all values – they are squeezed to the centre.
平均数（均值） – 一组数的总和除以个数得到的结果。记忆法：Mean 即“平均”，所有数值被“挤压”到中心。
Median – the middle value when the data are ordered from smallest to largest. Think of a road's 'median strip' that sits right in the middle; the median splits the data into two halves.
中位数 – 将数据从小到大排列后正中间的那个数。联想马路上的“中间分隔带”（median strip），中位数恰好在数据正中间，把数据平分成两半。
Mode – the value that appears most often in a data set. 'Mode' starts with 'mo' – link it to 'most'. It is the most fashionable, or most frequent, number.
众数 – 数据集中出现次数最多的值。Mode 开头 "mo" 联想到 "most"（最多），它就是最常出现的数，最“流行”。
Range – the difference between the largest and smallest values. It tells you how spread out the data is. Quick recall: 'range' is how far the values stretch, like a mountain range.
极差（范围） – 最大值与最小值的差，用于衡量数据的分散程度。速记："range" 像山脉绵延的范围，表示数据延伸了多远。
<
Published by TutorHao | Year 7 进阶数学 Revision Series | aleveler.com
更多咨询请联系16621398022（同微信）
或截图后用「扫一扫 → 相册」选择本图