# Mathematics Extension 1

The Preliminary Mathematics Extension and HSC Mathematics Extension 1 courses have been constructed on the assumption that students have studied the content and achieved the outcomes of the *Mathematics Years 7–10 Syllabus *(2002) up to, and including, the content and outcomes of Stage 5.3. Where possible, it is recommended that they also experience the optional topics *Curve Sketching and Polynomials*, *Functions and Logarithms*, and *Circle Geometry*.

You can download the following section of our departments Mathematics Extension and Extension 1 Teaching and Learning Programmes below.

(Under Construction)

Please note that your child's teacher will be differentiating the units of work in this programme to suit the needs of your child. For more detail on the specific programme of study your child is undertaking please contact their classroom teacher.

### *Preliminary Mathematics Extension*

*Preliminary Mathematics Extension*

- Board Developed Course
- Indicative Hours: 60
- Concurrent Pathways: Preliminary Mathematics
- HSC Pathways: HSC Mathematics Extension 1 & 2

**Prerequisites**

The Preliminary Mathematics Extension 1 course provides an appropriate course of study for students who have demonstrated competence in mathematics up to and including at least stage 5.3 by the end of year 10. Before selecting this course, students should seek guidance regarding their potential to acheive the outcomes in this course from the Maths Faculty.

**Aims**

Students who intend to study the preliminary mathematics extension 1 course should be those who wish to enter an eduactional pathway at the tertiary with mathematics as a major discipline and for the study of mathematics in support of the physical and engineering sciences.

**Content**

The Preliminary Mathematics Extension course is divided into eight units of work. These units of work are: Permutations and combinations; Other Inequalities; Further Trigonometry; Angle Between Two Lines; Polynomial; Division of a Line in a Given Ratio; Circle Geometry and Geometrical Applications; and, Parametric Representation of the Quadratic Polynomial.

### *HSC Mathematics Extension 1*

*HSC Mathematics Extension 1*

- Board Developed Course
- Indicative Hours: 60
- HSC Pathways: HSC Mathematics Extension 1 & 2

**Prerequisites**

The content in the HSC Mathematics Extension 1 course builds on and includes the units of work studies in the preliminary course. Content from both courses is examable.

**Aims**

Students who intend to study the HSC Mathematics Extensions 1 course should be those who wish to enter an educational pathway at the tertiary level with mathematics as a major discipline and for the study of engineering and physcial sciences.

**Content**

The HSC Mathematics Extension 1 course is divided into eight units of work. These units are: Binomial Theorem; Further Probability; Iterative Methods; Induction; Methods of Integrations; Primitives of sin2x and cos2x; Inverse Trig.; Further Applications of Calculus to the physical world; Velocity and Acceleration as a Function of x; Projectile Motion; Simple Harmonic Motion; and, Harder applications of Preliminary and HSC Topics.