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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)
  • Hyperbolas and Inverse Variation (XI)
  • Circles and Semi Circles (XII)
  • Year 11 Functions 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

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

Exponentials and Logarithms

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

Graph Transformations

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

Probability and Data

  • Introduction and Relative Frequency (I)
  • Types of Data and Frequency Histograms (II)
  • Cumulative Frequency Histograms & Ogives (III)
  • Multiplication Rule (IV)
  • Complementary Events (V)
  • Multi – Stage Experiments and Tree Diagrams (VI)
  • Sets and Venn Diagrams (VII)
  • The Addition Rule (VIII)
  • Conditional Probability (IX)
  • Independent Events (X)
  • 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 Further Graphing

  • Exponentials and Logarithmic Modelling (I)
  • Applying Transformations to Trig Functions (II)
  • Practical Problems Involving Periodic Phenomena (III)
  • Further Graphing 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

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

Random Variables

  • Discrete Random Variables (I)
  • Mean and Variance of Discrete Random Variables (II)
  • 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)
  • Continuous Probability Topic Test

Theory Aligned to the HSC curriculum

Succinct theory that's fit for all types of learners and focused on high-yield examination topics

Easy to understand with top band 6 insights, backed by the latest pedagogical research.

Step by step methodologies for key content areas with clear problem breakdowns

Challenging Mock Questions

Each workbook comes with its own unique set of mock exam questions that test that specific area of the syllabus.

Unlike typical textbook exercises, our problems challenge students and allow them to better prepare for exam applications.

Fully Worked Solutions

Every question we provide comes with our own exemplar responses so students can learn from the best.

With all of a subtopic's theory, questions, solutions and working out kept organised into one workbook, exam revision has never been easier.

Simply identify which areas you need the most practice in and get started.