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YEAR 12 Mathematics

Rates and Ratios

Rates
Ratios
Scale Drawing 
Building Plans
Area and Perimeter

Linear Function and Modelling
Simultaneous Equations
Application of Simultaneous Equations
Graphing Non-Linear Relationships
Application of Non-Linear Relationships
Variation and Further Applications

Relationships

Networks

Introduction to Networks
Eulerian Hamiltonian Walks
Minimal Spanning Trees
Connector Problems and Shortest Paths
Introduction to Critical Path
Dummy Activities and Scanning
Float Times and Completion Times
Further Networks and Network Flow

Right Angle Triangles 
Sine Rule, Cosine Rule, and Area Rule
Bearings
Radial Surveys
Problem-Solving - Trigonometry

Trigonometry

Finance

Investments and Loans
Credit Cards and Fees
Annuities

Bivariate Data
Normal Distribution

Statistics

Further Functions

Transformations
Trigonometric Equations
Trigonometric Functions

Differentiation of Trigonometric Functions
Properties of the First Derivative
Properties of the Second Derivative
Derivative Graphs
Optimisation 
Further Optimisation

Further Differential Calculus

Integral Calculus

Integration
Areas Bounded by x and y Axis
Integral Properties
Reverse Chain Rule
Integration of Exponentials
Integration of Hyperbolas
Integration of Trigonometry
Further Areas
Areas using Exponential, Logarithm and Trigonometry
Fundamental Theorem of Calculus and Approximation
Rates of Change Using Integration
Motion Using Integration

Arithmetic Progression
Geometric Progression
Applications of Progression
Finance Using Progression
Finance Using Interest Factor Tables

Series and Sequence

Further Statistical Analysis

Single Variate Data
Bivariate Data
Continuous Probability Distribution
Normal Distribution and Applications

Complex Numbers

Complex Numbers 1
Complex Numbers 2
Complex Numbers 3
Complex Numbers 4
Complex Numbers 5
Complex Numbers 6
Complex Numbers 7
Complex Numbers 8

Mathematical Proofs 1
Mathematical Proofs 2
Mathematical Proofs 3
Mathematical Proofs 4
Mathematical Proofs 5

Mathematical Proofs

Further Vectors

Further Vectors 1
Further Vectors 2
Further Vectors 3
Further Vectors 4

Further Integration 1
Further Integration 2
Further Integration 3
Further Integration 4
Further Integration 5

Further Integration

Mechanics

Mechanics 1
Mechanics 2
Mechanics 3
Mechanics 4
Mechanics 5

Trigonometry

Transformations
Trigonometric Equations
Trigonometric Functions

Differentiation of Trigonometric Functions
Properties of the First Derivative
Properties of the Second Derivative
Derivative Graphs
Optimisation 
Further Optimisation

Calculus

Integration

Integration
Areas Bounded by x and y Axis
Integral Properties
Reverse Chain Rule
Integration of Exponentials
Integration of Hyperbolas
Integration of Trigonometry
Further Areas
Areas using Exponential, Logarithm and Trigonometry
Fundamental Theorem of Calculus and Approximation
Rates of Change Using Integration
Motion Using Integration

Arithmetic Progression
Geometric Progression
Applications of Progression
Finance Using Progression
Finance Using Interest Factor Tables

Sequences and Series

Distribution

Single Variate Data
Bivariate Data
Continuous Probability Distribution
Normal Distribution and Applications

Motion using calculus
Motion using vectors
Projectile Motions
Proofs of Projectile Motions
Further Projectile Motions

Motion

Distribution

Continuous probability distribution
Normal distribution and applications
Uniform and binomial distribution
Normal approximation

Year 12 Tutoring Prices

(*excluding GST)

Standard

Group classes for only $28/hr (i.e. $840 per term)

Private classes for only $75/hr 

Advanced

Group classes for only $28/hr (i.e. $840 per term)

Private classes for only $75/hr 

Extension 1

Group classes for only $29/hr (i.e. $1044 per term)

Private classes for only $75/hr 

Extension 2

Group classes for only $32/hr (i.e. $1152 per term)

Private classes for only $75/hr 

  • ​​Private tutoring and group classes are available for every subject and year level.

  • Theory booklets and homework booklets are provided for every class.

  • Students will gain access to all the other resources offered by ProEd such as EZRA, unlimited notes, workshops, etc.

  • Weekly quizzes and homework are provided and marked.

  • 24/7 access to online help through discord

  • Free daily workshops to aid students through school work, assignments, and homework.

  • Standard Mathematics lessons run for 2.5 hour a week

  • Advanced Mathematics lessons run for 2.5 hour a week

  • Extension Mathematics lessons run for 3 hour a week

  • Lessons for year 12 math students run on a 12 week cycle

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