📚 Year 11 CCEA Maths: Rapid Vocabulary Memorisation Guide | 11年级CCEA数学：术语速记指南
Mastering mathematical terminology is essential for success in CCEA Year 11 Mathematics. This guide provides a clear, bilingual list of core terms across algebra, geometry, statistics and more, with concise definitions to help you memorise them quickly and confidently.
掌握数学术语对于在CCEA 11年级数学考试中取得成功至关重要。本指南提供了一份清晰的双语核心术语列表，涵盖代数、几何、统计等领域，并附有简明的定义，帮助你快速、自信地记忆这些术语。
1. Numbers and Number Systems | 数字与数系
Integer: Any whole number (positive, negative or zero) that has no fractional or decimal part. Examples: -5, 0, 12.
整数：任何没有分数或小数部分的整数（正数、负数或零）。例如：-5, 0, 12。
Rational number: A number that can be written as a fraction a/b, where a and b are integers and b ≠ 0. This includes all terminating and recurring decimals.
有理数：可以写成分数 a/b 的数，其中 a 和 b 是整数且 b ≠ 0。这包括所有有限小数和循环小数。
Irrational number: A number that cannot be expressed as a simple fraction. Its decimal expansion goes on forever without repeating. Examples: √2, π.
无理数：无法表示为简单分数的数。它的小数展开无限不循环。例如：√2, π。
Prime number: A positive integer greater than 1 that has exactly two distinct factors: 1 and itself. E.g. 2, 3, 5, 7, 11.
质数（素数）：一个大于1的正整数，只有两个互不相同的因数：1和它本身。例如 2, 3, 5, 7, 11。
Factor: A whole number that divides exactly into another number with no remainder. E.g. factors of 12 are 1, 2, 3, 4, 6, 12.
因数：能够整除另一个数而没有余数的整数。例如 12 的因数是 1, 2, 3, 4, 6, 12。
Multiple: The result of multiplying a number by any integer. E.g. multiples of 3 are 3, 6, 9, 12, ...
倍数：一个数与任何整数相乘得到的结果。例如 3 的倍数是 3, 6, 9, 12, ...
Highest Common Factor (HCF): The largest number that is a factor of two or more numbers. For 12 and 18, HCF = 6.
最大公因数（HCF）：两个或多个数共有的最大因数。例如 12 和 18 的最大公因数是 6。
Lowest Common Multiple (LCM): The smallest number that is a multiple of two or more numbers. For 4 and 6, LCM = 12.
最小公倍数（LCM）：两个或多个数的倍数中最小的一个。例如 4 和 6 的最小公倍数是 12。
Standard form (scientific notation) numbers as a × 10ⁿ, where 1 ≤ a < 10 and n is an integer. E.g. 5.2 × 10³ represents 5200.
标准形式（科学记数法）：一种书写非常大或非常小的数字的简洁方法，形式为 a × 10ⁿ，其中 1 ≤ a < 10 且 n 为整数。例如 5.2 × 10³ 表示 5200。
2. Fractions, Decimals and Percentages | 分数、小数与百分比
Proper fraction: A fraction where the numerator is smaller than the denominator, e.g. ¾.
真分数：分子小于分母的分数，例如 ¾。
Improper fraction: A fraction where the numerator is larger than or equal to the denominator, e.g. 7/4 or 5/5.
假分数：分子大于或等于分母的分数，例如 7/4 或 5/5。
Mixed number: A number consisting of a whole part and a fractional part, e.g. 1 ½.
带分数：由一个整数部分和一个分数部分组成的数，例如 1 ½。
Terminating decimal: A decimal that has a finite number of digits, e.g. 0.25 (which is ¼).
有限小数：小数位数有限的数，例如 0.25（即 ¼）。
Recurring decimal: A decimal in which one or more digits repeat indefinitely, often marked with dots, e.g. 0.3̇ for 0.333..., 0.1̇4̇ for 0.141414...
循环小数：一个或多个小数位无限重复的小数，通常用点标记，例如 0.3̇ 表示 0.333...，0.1̇4̇ 表示 0.141414...。
Percentage increase/decrease tity expressed as a percentage of the original amount. Formula: (change ÷ original) × 100.
百分比增减：用原始数量的百分比来表示数量的变化。公式：（变化量 ÷ 原始量）× 100。
Multiplier: A decimal factor used to increase or decrease a value by a given percentage. E.g. a 15% increase uses multiplier 1.15.
乘数：用于按给定百分比增加或减少一个值的小数因子。例如 15% 的增长使用乘数 1.15。
3. Algebra Basics | 代数基础
Variable: A symbol (often a letter) that represents an unknown number or a quantity that can change, e.g. x, y.
变量：用于表示未知数或可变化量的符号（通常是字母），例如 x, y。
Constant: A fixed value that does not change, e.g. the number 5 in x + 5.
常量：一个固定的、不变的值，例如 x + 5 中的数字 5。
Coefficient: The number multiplying a variable in a term, e.g. in 3x, the coefficient is 3.
系数：在项中乘以变量的数字，例如 3x 中系数为 3。
Term: A single number, variable, or the product of numbers and variables, separated by + or - signs. E.g. 4y, -2x², 7.
项：一个单独的数字、变量或数字与变量的乘积，由加号或减号分隔。例如 4y, -2x², 7。
Expression: A combination of terms with operators but no equals sign, e.g. 2x + 3y - 4.
表达式：由项和运算符组成但没有等号的式子，例如 2x + 3y - 4。
Like terms: Terms that have exactly the same variables raised to the same powers. Only like terms can be combined. E.g. 2x and 5x are like; 2x and 2x² are not.
同类项：含有完全相同的变量且变量指数相同的项。只有同类项才能合并。例如 2x 和 5x 是同类项；2x 和 2x² 不是。
Simplify rms and perform operations to write an expression in its shortest form. E.g. 2x + 3x = 5x.
化简：收集同类项并进行运算，用最简形式表示表达式。例如 2x + 3x = 5x。
Expand: Multiply out brackets to remove them, e.g. 3(x + 2) = 3x + 6.
展开：将括号乘开以去除括号，例如 3(x + 2) = 3x + 6。
Factorise sion as a product of factors, often by taking out a common factor. E.g. 4x + 8 = 4(x + 2).
因式分解：将表达式改写为因子的乘积，通常通过提取公因式实现。例如 4x + 8 = 4(x + 2)。
Identity: An equality that holds true for all values of the variables, often written with the ≡ symbol. E.g. 2(x + 1) ≡ 2x + 2.
恒等式：对于变量的所有取值都成立的等式，通常用符号 ≡ 表示。例如 2(x + 1) ≡ 2x + 2。
4. Equations and Inequalities | 方程与不等式
Equation: A mathematical statement that shows two expressions are equal, linked by an equals sign '='. E.g. 2x + 5 = 11.
方程：表明两个表达式相等的数学陈述，用等号 '=' 连接。例如 2x + 5 = 11。
Solve: Find the value(s) of the variable that make the equation true.
解方程：求出使方程成立的变量的值。
Solution (root): The value that satisfies an equation. For x + 3 = 7, the solution is x = 4.
解（根）：满足方程的值。对于 x + 3 = 7，解为 x = 4。
Balance method: A technique where the same operation is performed on both sides of an equation to isolate the unknown while keeping the equation balanced.
平衡法：在方程两边同时进行相同运算以隔离未知数并保持等式平衡的技巧。
Inequality < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to).
不等式：使用 <（小于）、>（大于）、≤（小于等于）、≥（大于等于）等符号比较两个表达式的陈述。
Solving inequalities: The process of finding the range of values that satisfy the inequality. Remember that multiplying or dividing by a negative number reverses the inequality sign.
解不等式：找出满足不等式的取值范围的过程。注意乘或除以负数时，不等号方向要反转。
Integer solutions ues that satisfy an inequality. E.g. for -2 < x ≤ 3, integer solutions are -1, 0, 1, 2, 3.
整数解：满足不等式的整数值。例如对于 -2 < x ≤ 3，整数解为 -1, 0, 1, 2, 3。
5. Sequences and nth Term | 数列与第n项
Sequence: An ordered list of numbers that often follows a rule. E.g. 2, 4, 6, 8, ...
数列：一个按照某种规则排列的数字列表。例如 2, 4, 6, 8, ... Published by TutorHao | Year 11 Mathematics Revision Series | aleveler.com
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