Everything you need for mathematics coaching from Year 7 to HSC Advanced Maths, Extension 1 Maths, Extension 2 Maths.

#### Maths Courses

^ HEC Sydney Term 1 - (Oct - Dec), Term 2 - (Jan to March), Term 3 - (Apr to June), Term 4 (July to Sept)

D.I.N. : "Do It Now" Live Tutor Support Sessions

## Stage 4 Accelerated Maths (Premium)

## $780/ term

40 x 2.5 hours LESSON (Face-to-face / Live zoom online) HEC Term^ 1, 2, 3, 4.

Comprehensive MATERIALS (Theory, reinforcement Practice Questions, Topic Tests)

Online 24/7 access to Fully-Worked SOLUTIONS and study RESOURCES.

Out-of-Class SUPPORT available via online Forum, (D.I.N.) and WeChat community channel.

Student portal access for Individual performance REPORT

Homework MARKING available with feedbacks.

###### Course Outline:

**Term 1:** Computation with Integers, Algebraic Techniques, Fractions Decimals & Percentages, Financial Mathematics, Ratios & Rates.

**Term 2:** Linear Relationships, Equations, Indices, Length & Time, Area, Volume & Surface Area.

**Term 3:** Angle Relationships, Properties of Geometrical Figures 1, Properties of Geometrical Figures 2, Right Angled Triangles (Pythagoras).

**Term 4:** Properties of Geometrical Figures III, Data Collection Representation, Statistics & Probability.

## Year 9 Maths (Premium)

## $900/ term

30 x 3 hours LESSON (Face-to-face / Live zoom online) HEC Term^ 1, 2, 3.

10 x 3 hours ENRICHMENT LESSONS *optional HEC Term^4

Comprehensive MATERIALS (Theory, reinforcement Practice Questions, Topic Tests)

Online 24/7 access to Fully-Worked SOLUTIONS and study RESOURCES.

Out-of-Class SUPPORT available via online Forum, (D.I.N.) and WeChat community channel.

Student portal access for Individual performance REPORT

Homework & Test MARKING available with feedbacks

###### Course Outline:

**Term 1:** Essentials of Algebra; Elements of Trigonometry; Fundamentals of Cartesian Geometry; Financial Mathematics; Linear Inequalities

**Term 2:** Properties of Geometrical Figures; Deductive Geometry; Statistics and Probability; Essentials of Algebra; Quadratic Equation

**Term 3:** Further Equations; Perimeter and Area; Surface Area and Volume; Area of Similar Figures and Volumes of Similar Solids; Single Variable Data Analysis; Bivariate Data Analysis; Probability

## Year 10 Maths (Premium)

## $968/ term

44 x 2.5 hours LESSON (Face-to-face / Live zoom online) HEC Term^ 1, 2, 3, 4.

Comprehensive MATERIALS (Theory, reinforcement Practice Questions, Topic Tests)

Online 24/7 access to Fully-Worked SOLUTIONS and study RESOURCES.

Out-of-Class SUPPORT available via online Forum, (D.I.N.) and WeChat community channel.

Student portal access for Individual performance REPORT

Homework & Test MARKING available with feedbacks.

###### Course Outline:

**Term 1:** Algebraic Techniques, Linear Relationships, Parabola, Polynomials, Surds & Indices.

**Term 2:** Further Linear Relationships 1, Functions and Other Graphs, Further Linear Relationships 2, Regions in Cartesian Plane, Ratios & Rates Graphical Approach.

**Term 3:** Trigonometry 1, Trigonometry 2, Equations, Surface Area & Volume.

**Term 4:** Logarithm, Polynomials, Circle Geometry.

## Year 11 Maths Extension 1 (Premium)

## $968 / term

44 x 2.5 hours LESSON (Face-to-face / Live zoom online) HEC Term^ 1, 2, 3, 4.

Comprehensive MATERIALS (Theory, reinforcement Practice Questions, Topic Tests)

Online 24/7 access to Fully-Worked SOLUTIONS and study RESOURCES.

Out-of-Class SUPPORT available via online Forum, (D.I.N.) and WeChat community channel.

Student portal access for Individual performance REPORT

Homework & Test MARKING available with feedbacks.

###### Course Outline:

**Term 1:** MA-F1.1 Algebraic Techniques, MA-F1.2 Introduction to Functions, MA-F1.3 Linear Functions, MA-F1.3 Quadratic Functions, MA-F1.4 Further Functions & Relations, MA-T1.1 Trigonometry I, MA-T1.1 Trigonometry II, MA-T1.2 Radians, MA-T2 Trigonometric Functions & Identities, ME-F1.2 Inequalities.

**Term 2:** ME-F1.3 Inverse Functions, ME-F1.4 Parametric Form of a Function or Relation, ME-F2.1 Remaider & Factor Theorem, ME-F2.2 Sums & Products of Roots of Polynomials, MA-C1 Introduction to Differentiation, MA-C1.4 Calculating with Derivatives, ME-F2.2 Multiple Root Theorem & Graphs of Polynomials, MA-E1 Logarithms & Exponentials.

**Term 3:** MA-E1 Logarithms & Exponentials, MA-S1 Representing & Processing Data, MA-S1 Measures of Central Tendency and Dispersion, MA-S2 Probability, MA-S1.2 Discrete Probability Distributions

**Term 4:** ME-T2 Further Trigonometric Identities, ME-T1 Inverse Trigonometric Functions, MA-C3/ME-C1.1 Rates of Change, ME-C1.2/MA-E1.3 Exponential Growth & Decay,ME-C1.2 Modified Exponential Models, ME-C1.3 Related Rates of Change, MA-F2 Graphing Techniques, ME-A1 Working with Combinatorics, ME-A1.2 Binomial Expansions & Pascal's Triangle

## Year 11 Maths Advanced (Premium)

## $968 / term

44 x 2.5 hours LESSON (Face-to-face / Live zoom online) HEC Term^ 1, 2, 3, 4.

Comprehensive MATERIALS (Theory, reinforcement Practice Questions, Topic Tests)

Online 24/7 access to Fully-Worked SOLUTIONS and study RESOURCES.

Out-of-Class SUPPORT available via online Forum, (D.I.N.) and WeChat community channel.

Student portal access for Individual performance REPORT

Homework & Test MARKING available with feedbacks.

###### Course Outline:

**Term 1:** MA-F1.1 Algebraic Techniques, MA-F1.2 Introduction to Functions, MA-F1.3 Linear Functions, MA-F1.3 Quadratic Functions, MA-F1.4 Further Functions & Relations, MA-T1.1 Trigonometry I, MA-T1.1 Trigonometry II, MA-T1.2 Radians, MA-T2 Trigonometric Functions & Identities, ME-F1.2 Inequalities.

**Term 2:** ME-F1.3 Inverse Functions, ME-F1.4 Parametric Form of a Function or Relation, ME-F2.1 Remaider & Factor Theorem, ME-F2.2 Sums & Products of Roots of Polynomials, MA-C1 Introduction to Differentiation, MA-C1.4 Calculating with Derivatives, ME-F2.2 Multiple Root Theorem & Graphs of Polynomials, MA-E1 Logarithms & Exponentials.

**Term 3:** MA-E1 Logarithms & Exponentials, MA-S1 Representing & Processing Data, MA-S1 Measures of Central Tendency and Dispersion, MA-S2 Probability, MA-S1.2 Discrete Probability Distributions

**Term 4:** MA-C2 Derivatives of Trigonometric Functions, MA-C3 Applications of Derivatives in Cartesian Geometry, MA-C3 Using Calculus to Solve Optimisation Problems, MA-C3/ME-C1.1 Rates of Change, ME-C1.2/MA-E1.3 Exponential Growth & Decay, MA-F2 Graphing Techniques, MA-C4.1 Integral Calculus, MA-C4.2 Definite Integration & Area under a Curve

## Year 12 Advanced Maths (Premium)

## $968 / term

44 x 2.5 hours LESSON (Face-to-face / Live zoom online) HEC Term^ 1, 2, 3.

Comprehensive MATERIALS (Theory, reinforcement Practice Questions, Topic Tests)

Online 24/7 access to Fully-Worked SOLUTIONS and study RESOURCES.

Out-of-Class SUPPORT available via online Forum, (D.I.N.) and WeChat community channel.

Student portal access for Individual performance REPORT

Homework & Test MARKING available with feedbacks.

###### Course Outline:

**Term 1:** MA-C1 Differentiation of Power Function, MA-C1 Rules of Differentiation, MA-E1 Logarithmic & Exponential Functions, MA-E1 Calculus of Exponential & Logarithmic Functions, MA-E1 Derivatives as Rate Measurer, MA-T2 Identities & Equations in Trigonometry, MA-T3 Trigonometric Functions & Graphs, MA-C2 Differential Calculus

**Term 2:** MA-C3 Applications of Differentiaion, MA-C4.1 The Anti-Derivative, MA-C4.2 Areas & The Definite Integral, MA-M1.2 Arithmetric Sequences & Series, MA-M1.3 Geometric Sequences & Series, MA-M1.4 Financial Application of Sequences & Series.

**Term 3:** MA-S2.1 Measures of Central Tendency & Spread, MA-S1.1 Probability, MA-S1.2 Further Works on Discrete Probability Distributions, MA-S2.2 Bivariate Data Analysis, MA-S3.1 Continuous Random Variables, MA-S3.2 The Normal Distribution, MA-C2-3 Further Differentiation, MA-C4 Further Integration.

**Term 4:** See Year 12 Advanced HSC Booster details.

## Year 12 Extension 1Â Maths (E-learning)

## $680 / term

10 x structured VIDEO lessons. HEC Term^ 1, 2, 3, 4.

Comprehensive MATERIALS (Theory, reinforcement Practice Questions)

Online 24/7 access to Fully-Worked SOLUTIONS and study RESOURCES.

Out-of-Class SUPPORT available via online Forum.

D.I.N. (Live Tutor Support) - optional extra.

Homework Solutions access available for self-marking.

###### Course Outline:

**Term 1:** ME-V1 Introduction to Vectors I, ME-V1 Introduction to Vectors II, ME-V1.2 Further Operations with Vectors, ME-T3 Trigonometric Equations, ME-F1.1 Graphical Relationships, MA-T3 Trigonometric Functions & Graphs, ME-P1 Proof by Mathematical Induction, MA-C2 Differential Calculus, MA-C4.1 The Anti-Derivative

**Term 2:** MA-C4.1 The Anti-Derivative, MA-C3 Application of Differentiation, MA-C4.2 Areas of Definite Integrals, ME-V1.3 Projectile Motion, MA-M1.2 Arithmetic Sequences & Series, MA-M1.3 Geometric Sequences & Series, MA-M1.4 Financial Application of Sequences & Series.

**Term 3:** ME-C2 Further Calculus Skills, ME-C3.1 Further Areas & Volumes of Solids, ME-C3.2 Differential Equations, MA-S2.2 Bivariate Data Analysis, MA-S3.1 Continuous Random Variables, MA-S3.2 The Normal Distribution, ME-S1.1 Bernoulli & Binomial Distributions, ME-S1.2 Normal Approximation for the Sample Proportion.

**Term 4:** See Year 12 Extension 1 HSC Booster details.

## Year 12 Extension 1 Maths (Premium)

## $968/ term

44 x 2.5 hours LESSON (Face-to-face / Live zoom online) HEC Term^ 1, 2, 3.

Comprehensive MATERIALS (Theory, reinforcement Practice Questions, Topic Tests)

Online 24/7 access to Fully-Worked SOLUTIONS and study RESOURCES.

Out-of-Class SUPPORT available via online Forum, (D.I.N.) and WeChat community channel.

Student portal access for Individual performance REPORT

Homework & Test MARKING available with feedbacks.

###### Course Outline:

**Term 1:** ME-V1 Introduction to Vectors I, ME-V1 Introduction to Vectors II, ME-V1.2 Further Operations with Vectors, ME-T3 Trigonometric Equations, ME-F1.1 Graphical Relationships, MA-T3 Trigonometric Functions & Graphs, ME-P1 Proof by Mathematical Induction, MA-C2 Differential Calculus, MA-C4.1 The Anti-Derivative

**Term 2:** MA-C4.1 The Anti-Derivative, MA-C3 Application of Differentiation, MA-C4.2 Areas of Definite Integrals, ME-V1.3 Projectile Motion, MA-M1.2 Arithmetic Sequences & Series, MA-M1.3 Geometric Sequences & Series, MA-M1.4 Financial Application of Sequences & Series.

**Term 3:** ME-C2 Further Calculus Skills, ME-C3.1 Further Areas & Volumes of Solids, ME-C3.2 Differential Equations, MA-S2.2 Bivariate Data Analysis, MA-S3.1 Continuous Random Variables, MA-S3.2 The Normal Distribution, ME-S1.1 Bernoulli & Binomial Distributions, ME-S1.2 Normal Approximation for the Sample Proportion.

**Term 4:** See Year 12 Extension 1 HSC Booster details.

## Year 12 Extension 2 Maths (Premium)

## $1155 / term

44 x 3 hours LESSON (Face-to-face / Live zoom online) HEC Term^ 1, 2, 3.

Comprehensive MATERIALS (Theory, reinforcement Practice Questions, Topic Tests)

Online 24/7 access to Fully-Worked SOLUTIONS and study RESOURCES.

Out-of-Class SUPPORT available via online Forum, (D.I.N.) and WeChat community channel.

Student portal access for Individual performance REPORT

Homework & Test MARKING available with feedbacks.

###### Course Outline:

**Term 1:** MEX-N1 Introduction to Complex Numbers, MEX-N2.1 Solving Equation with Complex Numbers, MEX-N2.2 Geometrical Implications of Complex Numbers, MEX-V1 Further Work with Vectors, MEX-P1 Nature of Proof, MEX-P2 Further Proof by Mathematical Induction

**Term 2:** MEX-C1 Further Integration, MEX-M1.1 Simple Harmonic Motion, MEX-M1.2 Modelling Motions without Resistance, MEX-M1.3 Resisted Motion, MEX-M1.4 Projectiles & Resisted Motion, MEX-N1 Further Works on Complex Numbers.

**Term 3:** MEX-N2 Further Works on Complex Numbers, MEX-V1 Consolidation Works with Vectors, MEX-P1 Further Inequalities, MEX-P2 Mathematical Induction, MEX-C1 Further Integration (enhanced), MEX-M1 Mechanics 1, MEX-M1 Mechanics 2, MEX-M1 Mechanics 3.

**Term 4:** See Year 12 Extension 2 HSC Booster details.