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We break down the entire syllabus into each major topic, which are then further split into subtopics that are covered by one booklet.
7 TopicsYear 11 Course Structure
01 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
02 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
03 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
04 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
05 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
06 Exponentials and Logarithms
- Index Laws (I)
- Introduction to Logarithms (II)
- Logarithmic Laws (III)
- Exponential Equations (IV)
- Logarithmic Equations (V)
- Exponentials and Logarithms Topic Test
07 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
6 TopicsYear 12 HSC Framework
01 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
02 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
03 Further Graphing
- Exponentials and Logarithmic Modelling (I)
- Applying Transformations to Trig Functions (II)
- Practical Problems Involving Periodic Phenomena (III)
- Further Graphing Topic Test
04 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
05 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
06 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
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