HSC Maths

OLD 2017
SYLLABUS

 
 
 
 

Everything you need to know and more

 
 
Curriculum Aligned

Comprehensive Syllabus Map

Every Single Topic, Unpacked and Organised.

We break down the entire syllabus into each major topic, which are then further split into subtopics that are covered by one booklet.

Year 11 Course Structure

  • 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
  • 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
  • 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
  • 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
  • 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
  • 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 HSC Framework

  • 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
  • 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
  • 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
  • Probability Density Functions (I)
  • Calculating Mode, Median and Percentiles (II)
  • Cumulative Distribution Functions (III)
  • The Normal Distribution and Empirical Rule (IV)
  • Z – Scores (V)
  • Applications of Z – Scores (VI)
Continuous Probability Topic Test
  • Applying Transformations to Trig Functions (I)
  • Practical Problems Involving Periodic Phenomena (II)
Year 12 Trigonometry Topic Test
  • 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
  • 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
  • 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

Please note that while we make every effort to align with the HSC curriculum, since different schools tackle the syllabus differently there may be some variation with the content learned. If you have any questions, or if you would like to swap booklets with others, please contact us via email:

support@mathifyhsc.com.au