牛津国际 AQA · International GCSE

Handouts, exercise sheets and slides · ⁨讲义、练习卷与幻灯片⁩

Shared topic documents retain their source course and topic titles. Use your chosen board’s specification for coverage, tier and exam requirements. · ⁨共用专题资料保留原课程与专题名称。请按所选考试局的大纲核对内容、等级及考试要求。⁩

Handouts · ⁨讲义⁩ · IGCSE Mathematics · ⁨IGCSE 数学⁩ (9)

Exercise sheets · ⁨练习页⁩ · IGCSE Mathematics · ⁨IGCSE 数学⁩ (125)

Presentation slides · ⁨演示文稿幻灯片⁩ · IGCSE Mathematics · ⁨IGCSE 数学⁩ (9)

Course units and learning goals · ⁨课程单元与学习目标⁩

These lessons teach selected course objectives. Check the remaining coverage gaps; the material is not a complete preparation programme. · ⁨这些课程教授选定的教学目标。请检查剩余的覆盖缺口；本材料并非完整的备考方案。⁩

Lessons · ⁨课程⁩ →Vocabulary practice · ⁨词汇练习⁩ →

3.1 · Number

Exact arithmetic and estimation: A prime number that divides the integer exactly.
Indices, surds and standard form: The power to which a base is raised.
Percentages, ratio and proportional reasoning: A factor that performs a percentage change in one multiplication.
Accuracy, bounds and compound measures: The smallest possible value consistent with a stated rounding rule.

prime factor: A prime number that divides the integer exactly.
index: The power to which a base is raised.
multiplier: A factor that performs a percentage change in one multiplication.
lower bound: The smallest possible value consistent with a stated rounding rule.

3.2 · Algebra

Equations, identities and rearrangement: An equality that holds for every allowed value of its variable.
Quadratics and inequalities: The quantity b²-4ac that determines the real roots of ax²+bx+c=0.
Coordinate geometry and tangents: The change in y divided by the corresponding change in x.
Sequences, series and recurrence: The constant multiplier between consecutive terms of a geometric sequence.
Derivatives and stationary points: The instantaneous rate of change, also the gradient of a tangent.

identity: An equality that holds for every allowed value of its variable.
discriminant: The quantity b²-4ac that determines the real roots of ax²+bx+c=0.
gradient: The change in y divided by the corresponding change in x.
common ratio: The constant multiplier between consecutive terms of a geometric sequence.
derivative: The instantaneous rate of change, also the gradient of a tangent.

3.3 · Geometry and measures

Angle reasoning, similarity and mensuration: The multiplier that relates corresponding lengths in similar shapes.
Right triangles and non-right triangles: The side opposite the right angle in a right-angled triangle.
Vectors and transformation geometry: The vector sum representing the combined displacement or force.
Reflections, rotations and enlargements: The point from which each point's displacement is multiplied by a scale factor.
Constructions, loci and geometric conditions: The set of all points satisfying a stated geometric condition.
Circle theorems and reasoned proofs: A quadrilateral whose four vertices lie on one circle.
Matrix transformations, inverses and eigenvalues: A scalar that determines whether a square matrix is invertible and, in two dimensions, its signed area factor.
Integrals, area and accumulation: A function whose derivative equals the given integrand.

scale factor: The multiplier that relates corresponding lengths in similar shapes.
hypotenuse: The side opposite the right angle in a right-angled triangle.
resultant: The vector sum representing the combined displacement or force.
centre of enlargement: The point from which each point's displacement is multiplied by a scale factor.
locus: The set of all points satisfying a stated geometric condition.
cyclic quadrilateral: A quadrilateral whose four vertices lie on one circle.
determinant: A scalar that determines whether a square matrix is invertible and, in two dimensions, its signed area factor.
antiderivative: A function whose derivative equals the given integrand.

3.4 · Statistics and probability

Data summaries, histograms and interpretation: Frequency divided by class width, used as histogram height.
Probability, trees and conditional reasoning: The probability of an event after restricting the sample space to a stated condition.
Cumulative frequency and box plots: The difference between the upper and lower quartiles.

frequency density · ⁨频率密度⁩: Frequency divided by class width, used as histogram height.
conditional probability: The probability of an event after restricting the sample space to a stated condition.
interquartile range: The difference between the upper and lower quartiles.

Preparing for this qualification · ⁨备考指南⁩

Core grades 1–5 and Extension grades 4–9 are separate entries.
Scientific calculators are allowed on all papers. Graphical calculators and symbolic algebra/calculus calculators are prohibited.
Use the official appendix to distinguish formulae to recall from supplied formulae.

Teaching coverage still needed · ⁨仍需教学覆盖内容⁩

Official question-bank boundaries, scheme alignment and all objective-level teaching coverage require the recorded review; no practice registry promotion.
The authored diagnostic assessments are not full-length qualification mocks.

Specifications and sample documents · ⁨课程大纲和样件文件⁩

Course materials · ⁨课程资料⁩

Course preparation · ⁨课程准备⁩

Documents are available. Board-specific notes, assessments and interactive past-paper practice are not yet available for every course. · ⁨文档已提供。并非所有课程都具备考试局特定的注释、测评及交互式历年真题练习。⁩

Lessons · ⁨课程⁩ →