Course Content
Course Orientation
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Subject Introduction
Syllabus Overview
Assessment Overview
Learning Resources
About the Preparation Course
Diagnostic Assessment: Mathematical Knowledge and Problem-Solving
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Introduction to the Diagnostic Section
Choosing Your Route: Core or Extended
Understanding Paper 1: Non-calculator (Core)
Understanding Paper 3: Calculator (Core)
Understanding Paper 2: Non-calculator (Extended)
Understanding Paper 4: Calculator (Extended)
How Marks, Objectives and Grades Work
Whole-Syllabus Refresher
Core Route Diagnostic: Papers 1 and 3
Extended Route Diagnostic: Papers 2 and 4
Your Diagnostic Results and Learning Plan
Module 01: Number
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C1.1 Types of number
C1.2 Sets
C1.3 Powers and roots
C1.4 Fractions, decimals and percentages
C1.5 Ordering
C1.6 The four operations
C1.7 Indices I
C1.8 Standard form
C1.9 Estimation
C1.10 Limits of accuracy
C1.11 Ratio and proportion
C1.12 Rates
C1.13 Percentages
C1.14 Using a calculator
C1.15 Time
C1.16 Money
C1.17 (Extended) Exponential growth and decay
C1.18 (Extended) Surds
Module 02: Algebra and graphs
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C2.1 Introduction to algebra
C2.2 Algebraic manipulation
C2.3 (Extended) Algebraic fractions
C2.4 Indices II
C2.5 Equations
C2.6 Inequalities
C2.7 Sequences
C2.8 (Extended) Proportion
C2.9 Graphs in practical situations
C2.10 Graphs of functions
C2.11 Sketching curves
C2.12 (Extended) Differentiation
C2.13 (Extended) Functions
Module 03: Coordinate geometry
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C3.1 Coordinates
C3.2 Drawing linear graphs
C3.3 Gradient of linear graphs
C3.4 (Extended) Length and midpoint
C3.5 Equations of linear graphs
C3.6 Parallel lines
C3.7 (Extended) Perpendicular lines
Module 04: Geometry
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C4.1 Geometrical terms
C4.2 Geometrical constructions
C4.3 Scale drawings
C4.4 Similarity
C4.5 Symmetry
C4.6 Angles
C4.7 Circle theorems
C4.8 (Extended) Circle theorems II
Module 05: Mensuration
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C5.1 Units of measure
C5.2 Area and perimeter
C5.3 Circles, arcs and sectors
C5.4 Surface area and volume
C5.5 Compound shapes and parts of shapes
Module 06: Trigonometry
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C6.1 Pythagoras’ theorem
C6.2 Right-angled triangles
C6.3 (Extended) Exact trigonometric values
C6.4 (Extended) Trigonometric functions
C6.5 (Extended) Non-right-angled triangles
C6.6 (Extended) Pythagoras’ theorem and trigonometry in 3D
Module 07: Transformations and vectors
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C7.1 Transformations
C7.2 (Extended) Vectors in two dimensions
C7.3 (Extended) Magnitude of a vector
C7.4 (Extended) Vector geometry
Module 08: Probability
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C8.1 Introduction to probability
C8.2 Relative and expected frequencies
C8.3 Probability of combined events
C8.4 (Extended) Conditional probability
Module 09: Statistics
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C9.1 Classifying statistical data
C9.2 Interpreting statistical data
C9.3 Averages and range
C9.4 Statistical charts and diagrams
C9.5 Scatter diagrams
C9.6 (Extended) Cumulative frequency diagrams
C9.7 (Extended) Histograms
Overview of Examinations / Assessment Overview
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Paper 1: Core (non-calculator)
Paper 2: Extended (Non-calculator)
Paper 3: Core (Calculator based)
Paper 4: Extended (Calculator based)
Paper One: Past paper solutions and mock examination
Paper Two: Past paper solutions and mock examination
Paper Three: Past paper solutions and mock examination
Paper Four: Past paper solutions and mock examination
Mathematics 0580
Notes & Resources
Mathematics 0580 – Subject Introduction – Explanatory Guide.pdf
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