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Year 11 Topics

Year 11 Algebra

  • Essential Algebraic Techniques (I)
  • Factorisation Techniques (II)
  • Completing the Square (III)
  • Surds and Rationalisation (IV)
  • Solving Simultaneous Equations (V)
  • Algebra Involving Quadratics (VI)
  • Inequalities (VII)
  • Absolute Value Equations (VIII)
  • Year 11 Algebra Topic Test

Year 11 Functions

  • Introduction, Domain, and Range (I)
  • Functions and Relations (II)
  • Interval Notation (III)
  • Linear Functions and Direct Variation (IV)
  • Quadratics and Parabolas (V)
  • Cubic Functions (VI)
  • Odd and Even Functions (VII)
  • Composite Functions and Piecewise Notation (VIII)
  • Polynomials and Sketching (IX)
  • Absolute Values (X)
  • Graph Reflections (XI)
  • Hyperbolas and Inverse Variation (XII)
  • Circles and Semi Circles (XIII)
  • Year 11 Functions Topic Test

Year 11 Differentiation

  • Limits (I)
  • First Principles (II)
  • Basic Differentiation (III)
  • Further Differentiation (IV)
  • Tangents and the Normal (V)
  • Derivative Function Graphs (VI)
  • Rates of Change (VII)
  • Motion (VIII)
  • Year 11 Differentiation Topic Test

Year 11 Trigonometry

  • Trigonometric Ratios (I)
  • Quadrants and Related Angles (II)
  • Sine and Cosine Rule (III)
  • Radians (IV)
  • Arc Length and Sector Area (V)
  • Trigonometric Identities (VI)
  • Trigonometric Equations (VII)
  • Applications of Trigonometry (VIII)
  • 3D Trigonometry (IX)
  • Trigonometry Topic Test

Exponentials and Logarithms

  • Index Laws (I)
  • Introduction to Logarithms (II)
  • Logarithmic Laws (III)
  • Exponential Equations (IV)
  • Logarithmic Equations (V)
  • Applications of Exponentials and Logarithms (VI)
  • Exponentials and Logarithms Topic Test

Probability and Statistical Analysis

  • Introduction and Relative Frequency (I)
  • Multiplication Rule (II)
  • Complementary Events (III)
  • Multi – Stage Experiments and Tree Diagrams (IV)
  • Sets and Venn Diagrams (V)
  • The Addition Rule (VI)
  • Conditional Probability (VII)
  • Independent Events (VIII)
  • Discrete Random Variables (I)
  • Mean and Variance for Discrete Random Variables (II)
  • Year 11 Probability Topic Test

Year 12 Topics

Year 12 Functions

  • Vertical and Horizontal Asymptotes (I)
  • Graph Shifts and Translations (II)
  • Graph Stretching and Dilations (III)
  • Combined Transformations (IV)
  • Inequalities and Solving by Graphical Methods (V)
  • Year 12 Functions Topic Test

Year 12 Differentiation

  • Derivative of Exponentials (I)
  • Derivative of Logarithms (II)
  • Trigonometric Derivatives (III)
  • Natural Growth and Decay (IV)
  • The First Derivative (V)
  • The Second Derivative (VI)
  • Graph Sketching With Derivatives (VII)
  • Optimisation Problems (VIII)
  • Year 12 Differentiation Topic Test

Year 12 Trigonometry

  • Applying Transformations to Trig Functions (I)
  • Practical Problems Involving Periodic Phenomena (II)
  • Year 12 Trigonometry Topic Test

Integration

  • Primitive Functions and the Anti – Derivative (I)
  • The Reverse Chain Rule and Substitution (II)
  • Definite Integrals (III)
  • Exponentials (IV)
  • Integrating to Logarithms (V)
  • Trigonometric Integrals (VI)
  • Applications of Definite Integrals to Area Under the Curve (VII)
  • Estimating Area with Trapezoidal Rule (VIII)
  • Properties of Definite Integrals (IX)
  • Further Work on Area (X)
  • Areas Bounded by the y–axis (XI)
  • Rates of Change and Motion (XII)
  • Integration Topic Test

Year 12 Statistical Analysis

  • Probability Density Functions (III)
  • Calculating Mode, Median and Percentiles (IV)
  • Cumulative Distribution Functions (V)
  • The Normal Distribution and Empirical Rule (VI)
  • Z – Scores (VII)
  • Applications of Z – Scores (VIII)
  • Statistical Analysis Topic Test

Sequences and Series

  • Introduction to Sequences and Series (I)
  • Arithmetic Sequences (II)
  • Arithmetic Series (III)
  • Geometric Sequences (IV)
  • Geometric Series (V)
  • Applications of AP and GP (VI)
  • Sequences and Series Topic Test

Financial Mathematics

  • Simple and Compound Interest (I)
  • Future and Present Value Tables (II)
  • Finding the Future Value of Annuities  (III)
  • Finding the Amount Outstanding on a Loan (IV)
  • Finding the Regular Repayment needed (V)
  • Financial Mathematics Topic Test

Data & Linear Regression

  • Types of Data and Frequency Histograms (I)
  • Cumulative Frequency Histograms and Ogives (II)
  • Pareto Charts and Contingency Tables (III)
  • Box and Whisker Plots (IV)
  • Scatter Plots and Pearson’s Correlation (V)
  • Line of Best and Fit and Least Squares Regression Line (VI)
  • Data & Linear Regression Topic Exam

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