📘 Growdemia – IGCSE Mathematics (0580)
Course Syllabus Overview (2025–2027)
This course follows the Cambridge IGCSE Mathematics (0580) syllabus, organized into nine main chapters. Each chapter is broken into simple subtopics to guide your learning journey.
1. Number
Integers, decimals, fractions, and ordering
Factors, multiples, and primes
Powers, roots, and order of operations
Standard form and approximation
Ratio, proportion, and percentages
Currency exchange and real-life calculations
Speed, distance, and time
Estimation and bounds
2. Algebra and Graphs
Algebraic expressions and simplification
Expanding, factorising, and algebraic fractions
Indices and surds (Extended)
Linear equations and inequalities
Simultaneous equations
Quadratic equations (factorisation, formula, graphing)
Sequences and patterns
Functions and their notation
Graphs of linear, quadratic, cubic, exponential, and reciprocal functions
Transformation of functions
3. Coordinate Geometry
Coordinates in two dimensions
Gradient of a line
Equation of a straight line
Midpoint and distance between two points
Parallel and perpendicular lines
4. Geometry
Lines, angles, and parallel lines
Polygons and angle properties
Circles: chords, tangents, arcs, and sectors
Symmetry (line and rotational)
Congruence and similarity
Construction and loci
5. Mensuration
Perimeter and area of 2D shapes
Surface area and volume of 3D solids (prisms, cylinders, cones, spheres, pyramids)
Conversion between units of measure
Density, mass, and volume calculations
6. Trigonometry
Pythagoras’ theorem
Sine, cosine, and tangent ratios in right-angled triangles
Using trigonometric tables and calculators
Sine and cosine rules (Extended)
Area of a triangle using ½ab sin C
Trigonometric graphs and values
Applications of trigonometry in 2D and 3D problems
7. Transformations and Vectors
Reflection, rotation, enlargement, and translation
Describing transformations using matrices (Extended)
Column vectors and vector notation
Vector arithmetic (addition, subtraction, scalar multiplication)
Geometric problems involving vectors
8. Probability
The language of probability
Probability of a single event
Combined events and probability laws
Mutually exclusive and independent events
Tree diagrams and sample spaces
9. Statistics
Data collection and representation
Tables, bar charts, pie charts, and pictograms
Histograms and frequency polygons
Mean, median, mode, and range
Quartiles and interquartile range
Cumulative frequency diagrams and box plots
Scatter diagrams and correlation
✅ With Growdemia, students don’t just cover these nine chapters — they also develop problem-solving skills, exam strategies, and effective study habits to achieve top grades in IGCSE Mathematics.
