Maths Extension 1 Syllabus

Each workbook collection categorises the topic into bite-sized lessons to ensure an organised approach to learning. As new topics for the 3U syllabus are released, we will update this page accordingly.

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Maths Extension 1 Integration

Substitution (I)

  • Reverse Chain Rule
  • Substitution for Indefinite Integrals
  • Substituting x into u
  • Subtopic Quiz
  • Solutions

Definite Integrals and Properties (II)

  • Substitution for Definite Integrals
  • Definite Integral Properties
  • Subtopic Quiz
  • Solutions

Integrals Involving Trigonometry (III)

  • Integrals of Trig
  • Integral of Sec and Cosec
  • Integral of Squares
  • Applying Identities
  • Product to Sum
  • Subtopic Quiz
  • Solutions

Inverse Trig Integrals (IV)

  • Integrals of Inverse Trig
  • Harder Inverse Trig Integrals
  • Trigonometric Substitutions
  • Subtopic Quiz
  • Solutions

Areas (V)

  • Areas Underneath
  • Signed Area Functions
  • Area Between Curves
  • Area of Multiple Regions
  • Integrating to Y
  • Subtopic Quiz
  • Solutions

Volume of Rotations (VI)

  • Volume of Rotation About the X Axis
  • Volume of Rotation About the Y Axis
  • Volume Between Curves
  • Applying Volumes
  • Subtopic Quiz
  • Solutions

Motion (VII)

  • Motion Revision
  • Velocity Time Graphs
  • Calculating Distance
  • Subtopic Quiz
  • Solutions

3U Integration Topic Test

Maths Extension 1 Trigonometry

Compound & Double Angles (I)

  • Compound Angle Formulae
  • Finding Exact Values
  • Double Angle Formulae
  • Solving Basic Equations
  • Solving Harder Trig Equations
  • Exercises
  • Subtopic Quiz
  • Solutions

Auxiliary Angles (II)

  • Auxiliary Angles
  • Considering Quadrants for Angles
  • Subtopic Quiz
  • Solutions

T Formulae (III)

  • The T Formulae
  • When do we use T Formulae?
  • Direct Substitutions for T
  • Restrictions for T Formulae
  • Subtopic Quiz
  • Solutions

Product to Sum (IV)

  • Product to Sum
  • Sum to Product
  • Limit Identities in Trig
  • Subtopic Quiz
  • Solutions

Inverse Trig Functions (V)

  • The Graph of Arcsine
  • The Graph of Arccosine
  • The Graph of Arctan
  • Graphing Complex Inverse Trig Graphs
  • Properties of Inverse Trig Functions
  • Graphing Composites
  • Subtopic Quiz
  • Solutions

3U Trigonometry 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

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.

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