Extreme Education covers all the most essential knowledge and skill sets across both Mathematics and English subjects – everything that your child will need to succeed at primary and secondary levels.

# English

## Primary

Your children can learn gradually, at their own pace, through practice and exploration of the ideas introduced in the lessons.

### Syllabus Structure

- Spelling
- Vocabulary
- Sentence Building
- Phonics
- Grammar
- Reading
- Comprehension
- General Ability
- NAPLAN Preparation (Year 3-5)
- Opportunity Classes / Selective Schools and School Ship Tests

## High School

The Secondary program is designed to bring your child’s writing skills up to the standard required to succeed in Senior School.

### Syllabus Structure

- Comprehension
- Spelling
- Grammar
- Creative writing
- Punctuation
- NAPLAN Preparation (Year 7- 9)
- Writing Style
- Poetry Analysis

# Mathematics

## Primary – Year 7 to Year 10

### Syllabus Structure

The essential content for Mathematics in Y7-10 is structured using one process strand:

- Working Mathematically

and five content strands:

- Number
- Patterns and Algebra
- Data
- Measurement
- Space and Geometry.

These strands contain the knowledge, skills and understanding for the study of mathematics in the compulsory years of schooling.

## Year 11

### Mathematics General

### Preliminary Mathematics General Course Content

**Financial Mathematics**

- FM1 Earning and managing money
- FM2 Investing money
- FM3 Taxation

**Data and Statistics**

- DS1 Statistics and society, data collection and sampling
- DS2 Displaying and interpreting single data sets
- DS3 Summary statistics

**Measurement**

- MM1 Units of measurement and applications
- MM2 Applications of perimeter, area and volume
- MM3 Similarity of two-dimensional figures, right-angled triangles

**Probability**

- PB1 Relative frequency and probability

**Algebra and Modelling**

- AM1 Algebraic manipulation
- AM2 Interpreting linear relationships

**Mathematics and Communication**

- FSCo1 Mobile phone plans
- FSCo2 Digital download and file storage

**Mathematics and Driving**

- FSDr1 Costs of purchase and insurance
- FSDr2 Running costs and depreciation
- FSDr3 Safety

### Mathematics (2 Units)

- Preliminary Course
- Basic arithmetic and algebra
- Real functions
- Trigonometric ratios
- Linear functions
- The quadratic polynomial and the parabola
- Plane geometry – geometrical properties
- Tangent to a curve and derivative of a function

### Mathematics Extension 1 (3 Units)

- Preliminary Course
- Other inequalities
- Circle geometry
- Further trigonometry (sums and differences, t formulae, identities and equations)
- Angles between two lines
- Internal and external division of lines into given ratios
- Parametric representation
- Permutations and combinations
- Polynomials
- Harder applications of the Preliminary 2 Unit course

## Year 12

### Mathematics General

HSC Mathematics General 2 Course

**Financial Mathematics**

- FM4 Credit and borrowing
- FM5 Annuities and loan repayments

**Data and Statistics**

- DS4 Interpreting sets of data
- DS5 The normal distribution
- DS6 Sampling and populations

**Measurement**

- MM4 Further applications of area and volume
- MM5 Applications of trigonometry
- MM6 Spherical geometry

**Probability**

- PB2 Multistage events and applications of probability

**Algebra and Modelling**

- AM3 Further algebraic skills and techniques
- AM4 Modelling linear relationships
- AM5 Modelling non-linear relationships

**Mathematics and Health**

- FSHe1 Body measurements
- FSHe2 Medication
- FSHe3 Life expectancy

**Mathematics and Resources**

- FSRe1 Water availability and usage
- FSRe2 Dams, land and catchment areas
- FSRe3 Energy and sustainability

### Mathematics (2 Units)

- Coordinate methods in geometry
- Applications of geometrical properties
- Geometrical applications of differentiation
- Integration
- Trigonometric functions (including applications of trigonometric ratios)
- Logarithmic and exponential functions Applications of calculus to the physical world
- Probability
- Series and Series applications

### Mathematics Extension 1 (3 Units)

- Methods of integration
- Primitive of sin 2x and cos 2x
- Equation dN/dT= k(N – P)
- Velocity and acceleration as a function of x
- Projectile motion
- Simple harmonic motion
- Inverse functions and inverse trigonometric functions
- Induction
- Binomial theorem
- Further probability
- Iterative methods for numerical estimation of the roots of a polynomial equation
- Harder applications of HSC 2 Unit topics

### Mathematics Extension 2 (4 Units)

- Graphs
- Complex Numbers
- Conics
- Integration
- Volumes
- Mechanics
- Polynomials
- Harder 3 Unit topics.