📚 KS3 Edexcel Further Maths: Rapid Vocabulary & Terminology Guide | KS3 Edexcel 进阶数学：词汇术语速记指南
Mastering key mathematical vocabulary at KS3 is essential for tackling Edexcel Further Maths with confidence. This guide provides memorable tricks, root-word analysis, and contextual examples to help you quickly recall terminology from algebra, geometry, probability and beyond. By linking terms to familiar images and word origins, you can store them in long-term memory and avoid common confusions.
掌握 KS3 阶段的数学关键词汇对于自信应对 Edexcel 进阶数学至关重要。本指南通过提供记忆技巧、词根分析和情境示例，帮助你快速回忆从代数、几何到概率等领域的术语。通过将术语与熟悉的图像和词源联系起来，你可以将其储存为长期记忆，并避免常见混淆。
1. Number and Place Value Terms | 数字与位值术语
Integer: Think of 'int' as a whole, like an 'intact' object that hasn't been broken into fractions. An integer is any positive or negative whole number, including zero. For example, -3, 0, 2024 are all integers.
整数 (Integer): 把 'int' 想象成完整的，就像没有破碎成小块的完整事物。整数是任何正整数、负整数或零。例如 -3, 0, 2024 都是整数。
Place value: The value of a digit depends on its position. 'Place' reminds you of location. In the number 4,562, the digit 4 sits in the thousands place, giving it a value of 4,000. Moving one column left multiplies value by 10.
位值 (Place value): 数字的值取决于它的位置。'Place' 提醒你位置的概念。在数 4,562 中，数字 4 位于千位，因此它的值是 4,000。每向左移动一列，数值乘以 10。
Significant figure (s.f.): 'Significant' means important. When rounding, we keep the most important digits from the left. For 0.0526 to 2 s.f., we get 0.053 – the leading zeros are not significant because they only show place value.
有效数字 (Significant figure): 'Significant' 意为重要的。在舍入时，我们从左边保留最重要的数字。将 0.0526 保留 2 位有效数字，得到 0.053——前面的零不算有效数字，因为它们仅表示位值。
Prime number: A number greater than 1 that has exactly two factors, 1 and itself. Think 'prime' as 'primary' – they are the building blocks of all natural numbers. Examples: 2, 3, 5, 7, 11. Note 1 is not prime.
质数 (Prime number): 大于 1 且只有 1 和自身两个因数的数。把 'prime' 想成“首要的”——它们是所有自然数的构建模块。例如：2, 3, 5, 7, 11。注意 1 不是质数。
Composite number: A number with more than two factors. 'Composite' means made of parts. 12 is composite because its factors are 1, 2, 3, 4, 6, 12.
合数 (Composite number): 拥有超过两个因数的数。'Composite' 表示由各部分组合而成。12 是合数，因为它的因数有 1, 2, 3, 4, 6, 12。
Factor and multiple: A factor divides exactly into another number. A multiple is the product of that number and any integer. For 6, factors are 1, 2, 3, 6; multiples are 6, 12, 18, 24... Think of factors as 'factory workers' that assemble products (multiples).
因数与倍数 (Factor and multiple): 因数能整除另一个数。倍数是一个数与任何整数的乘积。对于 6，因数为 1,2,3,6；倍数为 6,12,18,24... 将因数想象成生产倍数产品的“工厂工人”。
2. Algebraic Expressions | 代数表达式
Term: A single number, variable, or product of numbers and variables. Like a 'term' in a dictionary, it is a building block. In 5x + 2y - 7, the terms are 5x, 2y, and -7.
项 (Term): 单个数字、变量或数字与变量的乘积。就像词典中的“词条”，它是构建模块。在 5x + 2y - 7 中，各项为 5x、2y 和 -7。
Coefficient: 'Co-' means together, 'efficient' suggests producing. The coefficient is the number that multiplies the variable. In 7ab, the coefficient of ab is 7. In -3m, the coefficient is -3.
系数 (Coefficient): 'Co-' 表示共同，'efficient' 暗示产生。系数是乘以变量的数字。在 7ab 中，ab 的系数是 7；在 -3m 中，系数是 -3。
Constant and variable: A constant is a fixed-value term, such as 5. A variable is a symbol, usually a letter, that represents an unknown or changing value. In 2x + 8, 2x is the variable term and 8 is the constant.
常数与变量 (Constant and variable): 常数是固定值的项，如 5。变量是代表未知或变化值的符号，通常为字母。在 2x + 8 中，2x 是含变量的项，8 是常数。
Like terms: Terms that share exactly the same variable letters and powers. You can 'collect' them because they are alike. 3a
Published by TutorHao | KS3 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