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

### Syllabus Structure

• Spelling
• Vocabulary
• Sentence Building
• Phonics
• Grammar
• 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

### 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

### 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

Mathematics and Driving

• FSDr1 Costs of purchase and insurance
• FSDr2 Running costs and depreciation
• FSDr3 Safety
Mathematics (2 Units)

### 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)

### 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

### 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)

### 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)

### 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)

### Mathematics Extension 2 (4 Units)

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