Year 11 SQA Maths: Core Concepts Revision | Year 11 SQA 数学：核心知识点梳理

📚 Year 11 SQA Maths: Core Concepts Revision | Year 11 SQA 数学：核心知识点梳理

Mastering the core topics in Year 11 SQA Mathematics (National 5) is essential for success in exams and for building a strong foundation for Higher Maths. This revision guide covers the key concepts, methods, and formulae you need to know, with clear explanations and examples.

掌握Year 11 SQA数学（National 5）的核心主题对于考试成功以及为高等数学奠定坚实基础至关重要。本复习指南涵盖你需要了解的关键概念、方法和公式，并附有清晰的解释和示例。

1. Algebraic Manipulation | 代数运算

Expanding single brackets: Multiply each term inside the bracket by the term outside. For example, 2x(3x – 4) = 6x² – 8x.

展开单项式括号：将括号内的每一项乘以括号外的项。例如，2x(3x – 4) = 6x² – 8x。

Expanding double brackets: Use the FOIL (First, Outer, Inner, Last) method: (x + 2)(x – 3) = x² – 3x + 2x – 6 = x² – x – 6.

展开双括号：使用FOIL（首、外、内、尾）方法：(x + 2)(x – 3) = x² – 3x + 2x – 6 = x² – x – 6。

Factorising: Always look for a common factor first. For instance, 4x² – 6x = 2x(2x – 3).

因式分解：首先寻找公因子。例如，4x² – 6

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