Edexcel International A Level (IAL) Pure Mathematics 1 Study Notes - New Syllabus
Edexcel International A Level (IAL) Pure Mathematics 1 Study Notes
Edexcel IAL Pure Mathematics 1 Study Notes at IITian Academy focus on the specific topics and question styles seen in real exams. Notes are aligned to the latest syllabus for assessment from 2025.
Concise and comprehensive IAL Pure Mathematics 1 revision notes help you prepare efficiently with clear summaries, key definitions, diagrams, and worked examples. Strengthen your understanding of core concepts, reinforce exam-ready knowledge, and build confidence.
Access topic-wise study notes, past-paper style practice, and flashcards tailored to Edexcel IAL Pure Mathematics 1 — all in one place at IITian Academy.
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Edexcel International A Level (IAL) Pure Mathematics 1 Study Notes
Topic: Algebra & Functions
Laws of Indices & Surds
- Laws of Indices
- Manipulating Surds
- Rationalising the Denominator with Surds
Quadratics
- Quadratic Graphs
- Discriminants
- Completing the Square
- Solving Quadratic Equations
- Solving Hidden Quadratics using Substitutions
Simultaneous Equations
- Linear Simultaneous Equations using Elimination
- Linear Simultaneous Equations using Substitution
- Quadratic Simultaneous Equations
Inequalities
- Linear Inequalities
- Quadratic Inequalities
- Inequalities on Graphs
Polynomials
- Expanding Brackets
- Factorising Expressions
Graphs of Functions
- Sketching Polynomials
- Sketching Reciprocal Graphs
- Solving Equations Graphically
- Proportional Relationships
- Modelling with Functions
Transformations of Functions
- Translations
- Stretches
- Reflections
Coordinate Geometry in the (x, y) Plane
Equation of a Straight Line
- Basic Coordinate Geometry
- Equation of a Straight Line
- Parallel & Perpendicular Gradients
- Modelling with Straight Lines
Trigonometry
Basic Trigonometry
- Definitions of Trigonometric Functions
- Right-Angled Triangles
- Non-Right-Angled Triangles
Radian Measure
- Radian Measure
- Trigonometry Exact Values
Trigonometric Functions
- Graphs of Trigonometric Functions
- Transformations of Trigonometric Functions
Differentiation
Differentiation
- Definition of Gradient
- Definition of Derivatives
- Differentiating Powers of x
- Gradients, Tangents & Normals
- Second Order Derivatives
Integration
Integration
- Fundamental Theorem of Calculus
- Integrating Powers of x