Course Content
Module 07: Transformations & vectors
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Course recap & IGCSE exam success guidelines
Mathematics 0580

Curriculum Summary

Module

Core Skills

Extended Focus Areas

1. Number

Types of numbers; fractions, decimals, ratio, proportion; indices; standard form; rounding and bounds

Extended work on number manipulation as required for higher grades

2. Algebra and Graphs

Algebraic manipulation; equations; inequalities; sequences; graphs

Extended exploration of algebraic techniques and deeper graph interpretation

3. Coordinate Geometry

Plotting and interpreting straight-line graphs; midpoint and gradient

Application in more complex coordinate problems

4. Geometry

Properties of shapes; angles; constructions

Extended proofs and advanced geometric reasoning

5. Mensuration

Area, volume, measurement

Application in varied contexts with formula derivation

6. Trigonometry

Basic trigonometric ratios and applications

Further applications and identities

7. Transformations and Vectors

Reflection, rotation, enlargement; vector concepts

Extended problems involving combined transformations and vectors

8. Probability

Basic probability principles

Extended probability calculations

9. Statistics

Data collection, representation, measures of central tendency and spread

Extended interpretation of statistical data

Notes: The syllabus is tiered. Core content is intended for learners targeting grades C–G, while Extended includes Core plus additional topics suitable for grades A*–C.

 

Assessment Overview

All assessment is externally set and marked.

Component

Core Route

Extended Route

Paper 1 – Non-Calculator

Paper 3 – Calculator

Paper 2 – Non-Calculator

Paper 4 – Calculator

Core Assessment

Paper 1: Non-calculator, 1 h 30 m, 80 marks, 50% of Core qualification

Paper 3: Calculator allowed, 1 h 30 m, 80 marks, 50% of Core qualification
(Candidates who follow the Core syllabus take Papers 1 & 3.)

Extended Assessment

Paper 2: Non-calculator, 2 h, 100 marks, 50% of Extended qualification

Paper 4: Calculator allowed, 2 h, 100 marks, 50% of Extended qualification
(Candidates who follow the Extended syllabus take Papers 2 & 4.)

Calculator Use:
Non-calculator papers (Paper 1 and Paper 2) do not permit calculators. Calculator papers (Paper 3 and Paper 4) require a scientific calculator. 

Cambridge official IGCSE Mathematics 0580 syllabus link bellow:
https://www.cambridgeinternational.org/Images/662466-2025-2027-syllabus.pdf

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