Understanding Maths – Year 11 Extension 1 (Old Syllabus)

This title does NOT follow ‘Stage 6 Mathematics Advanced’ and/or ‘Stage 6 Mathematics Extension 1’ syllabuses introduced in 2017 but can be used for extra practice.

Originally published in 2009, this book was written for the previous ‘Preliminary Mathematics’ (aka ‘2 Unit’) and ‘Preliminary Mathematics Extension 1’ (aka ‘3 Unit) courses.

This book covers the following topics for the old 2 Unit and 3 Unit courses:

2 Unit Advanced Topics

• Basic Arithmetic
• Basic Algebra
• Factorising
• Equations
• Surds & Absolute Value
• Trigonometry
• Geometry
• Sequences & Series
• Coordinate Geometry
• Relations & Functions
• Differential Calculus
• The Quadratic Polynomial
• Locus & The Parabola

Additional Extension Topics

• Other Inequalities
• Angles Between Two Lines
• Internal & External Division of Lines into Given Ratios
• Application of Geometrical Properties
• Circle Geometry
• Further Trigonometry (Sums & Differences, t-Formulae, Identities & Equations
• Parametric Representation
• Permutations & Combinations
• Polynomials
• Induction

There are two (2) comprehensive topic review exercises at the end of each chapter which are divided into the categories: AVERAGE and DIFFICULT. The exercises relating to the 2 Unit Advanced Course involve more difficult applications of the theory covered.