Week 1 Day 1: Laws of Indices — Notation and Rules

Week 1 Day 2: Rational Indices and Algebraic Application

Week 1 Day 3: Exponential Equations

Week 1 Day 4: Irrational Numbers — Simplifying Surds and Operations

Week 1 Day 5: Week 1 Quiz — Indices & Irrational Numbers

Week 2 Day 1: Definition and Basic Operations of Polynomials

Week 2 Day 2: The Remainder Theorem

Week 2 Day 3: The Factor Theorem and Factorisation

Week 2 Day 4: Problem Solving with Polynomials

Week 2 Day 5: Week 2 Quiz — Polynomials

Week 3 Day 1: Identities — Definition and Unknown Coefficients

Week 3 Day 2: Linear and Simultaneous Equations

Week 3 Day 3: Quadratic Equations

Week 3 Day 4: Cubic Equations and Mixed Problem Sets

Week 3 Day 5: Week 3 Quiz — Algebraic Identities & Equations

End of Month 1 Test — Comprehensive Quiz (Weeks 1–4)

Week 5 Day 1: Sequences — Notation and Behaviour

Week 5 Day 2: Sigma Notation and Series

Week 5 Day 3: Arithmetic Progressions — nth Term and Sum

Week 5 Day 4: Problems Involving APs

Week 5 Day 5: Week 5 Quiz — Arithmetic Progressions

Week 6 Day 1: Geometric Progressions — nth Term

Week 6 Day 2: Sum of the First n Terms of a GP

Week 6 Day 3: Sum to Infinity and Convergence

Week 6 Day 4: Applications — Compound Interest, Depreciation and Growth

Week 6 Day 5: Week 6 Quiz — Geometric Progressions

Week 7 Day 1: Distance Between Two Points

Week 7 Day 2: Gradient and the Equation of a Straight Line

Week 7 Day 3: Parallel and Perpendicular Lines

Week 7 Day 4: Equation of a Normal and Applications

Week 7 Day 5: Week 7 Quiz — Coordinate Geometry

Week 8 Day 1: Definition of a Function, Domain and Range

Week 8 Day 2: One-to-One Mappings and Types of Functions

Week 8 Day 3: Inverse Functions

Week 8 Day 4: Composite Functions and Graphical Illustration

Week 8 Day 5: Week 8 Quiz — Functions

End of Month 2 Test — Comprehensive Quiz (Weeks 5–8)

Week 9 Day 1: Quadratic Expressions and Equations

Week 9 Day 2: Quadratic Functions and Their Graphs

Week 9 Day 3: Maximum/Minimum Values and Completing the Square

Week 9 Day 4: The Discriminant and Nature of Roots

Week 9 Day 5: Week 9 Quiz — Quadratic Functions

Week 10 Day 1: Definition of Logarithms and Laws

Week 10 Day 2: Logarithmic and Exponential Equations

Week 10 Day 3: Sketching Logarithmic Graphs and Their Inverses

Week 10 Day 4: Applications in Growth, Decay and Finance

Week 10 Day 5: Week 10 Quiz — Logarithmic & Exponential Functions

Week 11 Day 1: The Three Basic Trigonometric Ratios

Week 11 Day 2: The Unit Circle and Quadrant Rules

Week 11 Day 3: Graphs of Trigonometric Functions

Week 11 Day 4: Deducing Other Trigonometric Ratios

Week 11 Day 5: Week 11 Quiz — Trigonometric Functions

Week 12 Day 1: Simple Trigonometric Identities

Week 12 Day 2: Proving Trigonometric Identities

Week 12 Day 3: Trigonometric Equations

Week 12 Day 4: Compound and Double Angle Formulae (Introductory)

Week 12 Day 5: Week 12 Quiz — Trigonometric Identities & Equations

End of Month 3 Test — Comprehensive Quiz (Weeks 9–12)

Week 13 Day 1: Gradient of a Curve and Derivative Notation

Week 13 Day 2: Differentiation from First Principles

Week 13 Day 3: Rules of Differentiation — Power, Sum, Product, Quotient

Week 13 Day 4: Chain Rule and Derivatives of Common Functions (sin, cos, ln, e)

Week 13 Day 5: Week 13 Quiz — Differentiation Rules

Week 14 Day 1: Stationary Points and Their Nature

Week 14 Day 2: Second Derivative Test

Week 14 Day 3: Tangents and Normals to a Curve

Week 14 Day 4: Rates of Change and Small Approximations

Week 14 Day 5: Week 14 Quiz — Differentiation Applications

Week 15 Day 1: Integration as the Reverse Process of Differentiation

Week 15 Day 2: Notation and Integration of Simple Functions

Week 15 Day 3: Integration of sin, cos, e, (ax+b)

Week 15 Day 4: Definite Integrals and the Constant of Integration

Week 15 Day 5: Week 15 Quiz — Integration Techniques

Week 16 Day 1: Area Under a Curve

Week 16 Day 2: Area Between Two Curves

Week 16 Day 3: Volumes of Revolution

Week 16 Day 4: Kinematics Applications of Integration

Week 16 Day 5: Week 16 Quiz — Integration Applications

End of Month 4 Test — Comprehensive Quiz (Weeks 13–16)

Week 17 Day 1: Probability, Trial, Sample Space, Outcomes and Events

Week 17 Day 2: Set Language and Venn Diagrams

Week 17 Day 3: Approaches to Probability — Objective, Experimental, Classical, Subjective

Week 17 Day 4: Outcomes Tables and Combined Events

Week 17 Day 5: Week 17 Quiz — Probability Foundations

Week 18 Day 1: Addition Rule for Mutually Exclusive Events

Week 18 Day 2: Product Rule for Independent Events

Week 18 Day 3: Tree Diagrams

Week 18 Day 4: Conditional Probability and Its Applications

Week 18 Day 5: Week 18 Quiz — Probability Rules

Week 19 Day 1: Key Statistical Terms — Statistics, Data, Frequency, Population, Samples

Week 19 Day 2: Sources, Classification and Types of Data

Week 19 Day 3: Data Collection Methods

Week 19 Day 4: Forms of Data Presentation — Tables, Graphs, Charts

Week 19 Day 5: Week 19 Quiz — Data Collection & Presentation

Week 20 Day 1: Mean, Mode and Median for Ungrouped Data

Week 20 Day 2: Mean, Mode and Median for Grouped Data

Week 20 Day 3: Range, Variance and Standard Deviation

Week 20 Day 4: Interquartile Range and Coefficient of Variation

Week 20 Day 5: Week 20 Quiz — Central Tendency & Dispersion

End of Month 5 Test — Comprehensive Quiz (Weeks 17–20)

Week 21 Day 1: Discrete Random Variables and Probability Distributions

Week 21 Day 2: Expectation E(X) and Variance Var(X) of a Discrete Variable

Week 21 Day 3: The Binomial Distribution — Characteristics and Formula

Week 21 Day 4: Continuous Random Variables and Probability Density Functions

Week 21 Day 5: Week 21 Quiz — Probability Distributions

Week 22 Day 1: Properties of the Normal Distribution Curve

Week 22 Day 2: The Standard Normal Variable Z and Standardisation

Week 22 Day 3: Using Standard Normal Tables

Week 22 Day 4: Reverse Reading — Finding Z, μ or σ

Week 22 Day 5: Week 22 Quiz — The Normal Distribution

Week 23 Day 1: Sampling Techniques — Random and Non-Random

Week 23 Day 2: Simple, Stratified, Systematic and Quota Sampling

Week 23 Day 3: The Central Limit Theorem

Week 23 Day 4: Distribution of the Sample Mean

Week 23 Day 5: Week 23 Quiz — Sampling Methods

Week 24 Day 1: Point Estimation — Mean and Variance

Week 24 Day 2: Unbiased Estimators of Population Mean and Variance

Week 24 Day 3: Interval Estimation — Confidence Intervals

Week 24 Day 4: Confidence Intervals at 5% and 1% Significance Levels

Week 24 Day 5: Week 24 Quiz — Estimation

End of Month 6 Test — Comprehensive Quiz (Weeks 21–24)

Week 25 Day 1: Vectors and Scalars; Distance and Speed

Week 25 Day 2: Displacement–Time (x–t) Graphs; Gradient as Velocity

Week 25 Day 3: Velocity–Time (v–t) Graphs; Gradient as Acceleration

Week 25 Day 4: Equations of Motion (Uniform Acceleration)

Week 25 Day 5: Week 25 Quiz — Kinematics

Week 26 Day 1: Types of Forces and Their Representation by Vectors

Week 26 Day 2: Resultants and Components; Composition and Resolution

Week 26 Day 3: Equilibrium of a Particle

Week 26 Day 4: Friction; Normal Force and Frictional Force

Week 26 Day 5: Week 26 Quiz — Forces & Equilibrium

Week 27 Day 1: Newton’s First Law — Inertia and Equilibrium

Week 27 Day 2: Newton’s Second Law — F = ma

Week 27 Day 3: Newton’s Third Law — Action and Reaction

Week 27 Day 4: Applications — Connected Particles and Motion on Inclines

Week 27 Day 5: Week 27 Quiz — Newton’s Laws of Motion

Week 28 Day 1: Energy — Kinetic and Gravitational Potential Energy

Week 28 Day 2: Work Done by a Constant Force

Week 28 Day 3: Power as the Rate of Doing Work

Week 28 Day 4: Principle of Conservation of Energy and Mixed Problems

Week 28 Day 5: Week 28 Quiz — Energy, Work & Power

Final Exam — Comprehensive Test (Weeks 25–28 + Full Syllabus Review)