Mathematics IGCSE - Revision & Exam Preparation

2-Year Online After-School Programme (5 hours/week)

Cambridge IGCSE Mathematics (0580) - Core and Extended Curricula · 2 years (Form 4-5)

What you'll learn - curriculum-aligned IGCSE Mathematics

Cambridge IGCSE Mathematics (0580). 2-Year Online After-School Programme (5 hours/week). Cambridge IGCSE Mathematics (0580) - Core and Extended Curricula. 2 years (Form 4-5). Monday-Friday, 1 hour per day. ~260 hours over 2 years

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Mathematics IGCSE course - lessons, practice, and exam confidence

Syllabus & topics - revision notes and practice tests

Topics & modules

Week 1-3: Types of Numbers and Basic OperationsLesson 1.1 Natural numbers, integers, and rational/irrational numbers; Lesson 1.2 Prime numbers, prime factorization, and products; Lesson 1.3 Common factors (HCF) and common multiples (LCM); Lesson 1.4 Square numbers, cube numbers, and reciprocals; Lesson 1.5 Set language and notation with Venn diagrams
Week 4-6: Powers, Roots and Standard FormLesson 2.1 Squares, square roots, cubes, and cube roots (1-15, special values); Lesson 2.2 Other powers and roots of numbers; Lesson 2.3 Fractions - proper, improper, mixed numbers; Lesson 2.4 Decimals and percentages representation; Lesson 2.5 Converting between fractions, decimals, and percentages
Week 7-9: Number Operations and AccuracyLesson 3.1 Ordering quantities and inequality symbols; Lesson 3.2 Four operations with integers, fractions, and decimals; Lesson 3.3 Order of operations and bracket usage; Lesson 3.4 Indices - positive, zero, and negative integers; Lesson 3.5 Index rules and simplification
Week 10-12: Standard Form and EstimationLesson 4.1 Standard form A × 10ⁿ notation and conversion; Lesson 4.2 Calculations with standard form (Core: Paper 3 only); Lesson 4.3 Rounding to specified degrees of accuracy; Lesson 4.4 Estimation techniques for practical calculations; Lesson 4.5 Upper and lower bounds for rounded data
Week 13-15: Ratio, Proportion and PercentagesLesson 5.1 Ratio in simplest form and dividing quantities; Lesson 5.2 Proportional reasoning and ratios in context; Lesson 5.3 Percentage calculations and applications; Lesson 5.4 Percentage increase, decrease, and compound interest; Lesson 5.5 Rates - common measures and problem-solving
Week 16-18: Time, Money and Practical ApplicationsLesson 6.1 Time calculations (24-hour and 12-hour clocks); Lesson 6.2 Money calculations and currency conversion; Lesson 6.3 Calculator use and display interpretation; Lesson 6.4 Speed, distance, and time relationships; Lesson 6.5 Practical rates (pressure, density, population density)
Week 19-21: Introduction to AlgebraLesson 7.1 Letters representing generalised numbers; Lesson 7.2 Substitution into expressions and formulas; Lesson 7.3 Simplifying expressions by collecting like terms; Lesson 7.4 Expanding products of algebraic expressions; Lesson 7.5 Factorising by extracting common factors
Week 22-24: Indices and Algebraic EquationsLesson 8.1 Indices in algebra (positive, zero, negative); Lesson 8.2 Rules of indices in algebraic form; Lesson 8.3 Constructing simple expressions and equations; Lesson 8.4 Solving linear equations in one unknown; Lesson 8.5 Simultaneous linear equations (two unknowns)
Week 25-27: Formula Manipulation and InequalitiesLesson 9.1 Changing the subject of simple formulas; Lesson 9.2 Representing inequalities on number lines; Lesson 9.3 Solving simple linear inequalities; Lesson 9.4 Sequences - continuing patterns and nth terms; Lesson 9.5 Linear, quadratic, and cubic sequences
Week 28-30: Graphs and Practical ApplicationsLesson 10.1 Graphs in practical situations (travel, conversion); Lesson 10.2 Drawing graphs from given data; Lesson 10.3 Interpreting gradient as rate of change; Lesson 10.4 Constructing tables of values for functions; Lesson 10.5 Drawing and recognising graphs (linear, quadratic, reciprocal)
Week 31-33: Functions and Curve SketchingLesson 11.1 Solving equations graphically and finding roots; Lesson 11.2 Sketching linear and quadratic functions; Lesson 11.3 Recognising function graphs and their properties; Lesson 11.4 Symmetry and roots of quadratic functions; Lesson 11.5 Graph interpretation and practical applications
Week 34-36: Coordinate GeometryLesson 12.1 Cartesian coordinates in two dimensions; Lesson 12.2 Drawing straight-line graphs for linear equations; Lesson 12.3 Finding gradients of straight lines; Lesson 12.4 Equations of linear graphs (y = mx + c); Lesson 12.5 Parallel lines and their equations
Week 37-39: Geometrical Terms and PropertiesLesson 13.1 Geometrical vocabulary (triangles, quadrilaterals, polygons); Lesson 13.2 Circle terminology and properties; Lesson 13.3 Measuring, drawing lines and angles; Lesson 13.4 Constructing triangles with ruler and compass; Lesson 13.5 Drawing and interpreting nets of solids
Week 40-42: Scale Drawings and SimilarityLesson 14.1 Scale drawings and three-figure bearings; Lesson 14.2 Similarity and calculating lengths; Lesson 14.3 Line and rotational symmetry recognition; Lesson 14.4 Angle properties at points and straight lines; Lesson 14.5 Vertically opposite angles and triangle angle sums
Week 43-45: Parallel Lines and Circle TheoremsLesson 15.1 Angles in parallel lines (corresponding, alternate); Lesson 15.2 Co-interior angles and parallel line proofs; Lesson 15.3 Angle properties of regular polygons; Lesson 15.4 Circle theorems (angle in semicircle, tangent-radius); Lesson 15.5 Basic circle theorem applications

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