# What our Year 11 Maths Advanced students will develop

### Gain an in-depth understanding

Don’t just know the theory but know why and how. Gain a thorough knowledge of all syllabus dot points and outcomes for each module prescribed by the NSW Board of Studies

### Learn to solve unfamiliar questions

Be equipped with the skills to solve new, unfamiliar and challenging Mathematic questions. All Matrix students have access to the resources online to practice and further develop their mathematical learning.

### Boost your confidence

Look forward to showing off your Maths skills in school and at Matrix. With the best tools and support on your side there’s nothing to fear!

## What our Year 11 Maths Advanced students receive

Comprehensive Theory Book

Exam-Style Workbook

Weekly Mathematics Quiz

One-to-one workshops

End of Term Topic Test

Exclusive Online Resources  ## Stay one term ahead of your school and peers

Year 11 Maths Advanced Term Course Program (New Syllabus)

#### Topics

Algebraic Techniques

Linear Functions

Absolute Values

#### Topics

Functions and Relations

Quadratics and Polynomials

Non-Linear Functions

Trigonometry

#### Topics

Further Trigonometry

Introductory Calculus

Applications of Differentiation

Exponential and Logarithms

#### Topics

Review of Calculus

Probability and Conditional Probability

Discrete Random Variables

Yearly Exam Revision

## Year 11 Maths Advanced Term Course Details (New Syllabus)

9 weekly lessons in the school term

#### Oct - Dec

Algebraic Techniques, Linear Functions and Absolute Values

Lesson 1: Algebraic Techniques

• The Real Number System
• Algebraic Techniques
• Highest Common Factor
• Factorising Binomials

Lesson 2: Indices

• Index Notation
• Operations with Indices
• Further Properties of Indices

Lesson 3: Surds

• Operations on Surds
• Rationalising the Denominator

Lesson 4: Linear Equations & Inequalities

• Linear Equations
• Formulae as Equations
• Simultaneous Equations
• Linear Inequalities

Lesson 5: Quadratic Equations

• Factorising Trinomials
• Quadratic Equations
• Equations Reducible to Quadratics

Lesson 6: Linear Functions

• Midpoint
• Gradients
• Equations of Straight Lines
• Parallel & Perpendicular Lines
• Intersections of Lines

Lesson 7: Functions & Relations

• Functions vs. Relations
• Interval Notation
• Domain & Range
• Even & Odd Functions
• Piecewise Functions

Lesson 8: Absolute Values

• Introduction to Absolute Values
• Graphs of Absolute Values
• Equations Involving Absolute Values
• Inequalities Involving Absolute Values

Lesson 9: End of Term Topic Test

• Marking and Feedback provided

#### Feb - Apr

Functions & Relations, Quadratics & Polynomials, Non-Linear Functions and Trigonometry

Lesson 1: Working with Functions 1

• Review of Quadratic Equations
• Graphs of Non-Linear Relationships
• Graphs of Parabolas
• Maximum & Minimum Values
• Practical Applications of Quadratic Equations

Lesson 2: Working with Functions 2

• Rules of Inequalities
• Quadratic Inequalities
• The Discriminant
• Graphs of Cubics

Lesson 3: Working with Functions 3

• Polynomials
• Sketching Polynomials
• Further Sketching Techniques

Lesson 4: Further Functions and Relations

• Graphs of Absolute Values
• Graphs of Circles & Semi-Circles
• Graphs of Hyperbolae
• Graphs of Exponential Curves

Lesson 5: Trigonometry 1

• Trigonometric Ratios
• Complementary Angles
• Graphs of Trigonometric Functions
• ASTC

Lesson 6: Trigonometry 2

• Solving Trigonometric Equations

Lesson 7: Trigonometry 3

• Sine Rule
• Cosine Rule
• Area of Triangle
• Direction & Bearings

Lesson 8: Trigonometry 4

• 3-D Trigonometry

Lesson 9: End of Term Topic Test

• Marking and Feedback provided

#### Apr - Jun

Further Trigonometry, Introductory Calculus and Applications of Differentiation

Lesson 1: Further Trigonometry 1

• Review of Trigonometry
• Fundamental Trigonometric Equations
• Quadratic Trigonometric Equations
• Radians

Lesson 2: Further Trigonometry 2

• Curve Sketching Using Radians
• Graphs of Reciprocal Trigonometric Functions
• Arc Length, Area of Sectors & Segments

Lesson 3: Introductory Calculus 1

• Introduction to Differentiation
• Theorems on Derivatives
• Applications of Differentiation

Lesson 4: Introductory Calculus 2

• Introduction to Limits and Continuity
• Limits of Quotients
• Limits to Infinity
• Differentiation by First Principle

Lesson 5: Calculating with Derivatives

• The Chain Rule
• The Product Rule
• The Quotient Rule
• The Derivative as a Rate of Change

Lesson 6: Exponential Functions

• Review of Exponential Functions
• Graphing Exponential Functions
• Derivative of Exponential Functions
• Application of Exponential Functions

Lesson 7: Logarithms 1

• Definition of a Logarithm
• Logarithmic Laws
• Solving Logarithmic Equations
• Graphs of Logarithmic Functions
• The Natural Logarithm & Natural Exponential

Lesson 8: Logarithms 2

• Applications of Logarithmic and Exponential Functions
• Exponential Growth and Decay
• Real World Applications of Logarithmic Scales

Lesson 9: End of Term Topic Test

• Marking and Feedback provided

#### Jul - Sep

Review of Calculus, Probability and Conditional Probability, Discrete Random Variables, Yearly Exam Revision

Lesson 1: Review of Calculus

• Review of Differentiation
• Increasing & Decreasing Functions
• Sketching the Gradient Function

Lesson 2: Motion in a Straight Line

• Displacement vs. Distance
• Velocity vs. Speed
• Acceleration

Lesson 3: Probability 1

• Theory of Probability
• Complementary Events
• Venn Diagrams
• Independent Events
• Multistage Experiments

Lesson 4: Probability 2

• Conditional Probability
• Representation of Probability

Lesson 5: Guided Practice Exam

Lesson 6: Discrete Random Variables 1

• Introduction to Random Variables
• Discrete Probability Distributions
• The Expected Value of a Discrete Random Variable

Lesson 7: Discrete Random Variables 2

• Transformations of Random Variables
• Variance and Standard Deviation
• Linear Scaling of Random Variables
• Uniform Random Variables

Lesson 8: Discrete Random Variables 3

• Population vs. Sample
• Improving Accuracy of Samples
• Challenge Questions

Lesson 9: End of Term Topic Test

• Marking and Feedback provided

## 3 Hour Lesson Breakdown

Suprise yourself with how much you can learn in 3 hours

 30 min Introduction Revision, Quiz and OverviewTeachers revise previous lesson and answer homework questions before conducting an in-class quiz. Teachers revise previous lesson and answer homework questions before conducting an in-class quiz. 65 min Theory Lesson Part 1 Gain in-depth knowledge and understandingTeachers explain key mathematics concepts which are reinforced by completing exam-style questions. Teachers explain key mathematics concepts which are reinforced by completing exam-style questions. 10 min Break 65 min Theory Lesson Part 2 Gain in-depth knowledge and understandingTeachers explain key mathematics concepts which are reinforced by completing exam-style questions. Teachers explain key mathematics concepts which are reinforced by completing exam-style questions. 10 min Review Q&AStudents ask questions to clarify understanding. Students ask questions to clarify understanding.

## Year 11 Maths Advanced Timetable

9 weekly lessons for comprehensive knowledge and understanding.

 Chatswood Wed 4:30 - 7:30pm Fri 4:30 - 7:30pm Sun 9:30 - 12:30pm
 Epping Tue 4:30 - 7:30pm
 Hurstville Mon 4:30 - 7:30pm Fri 4:30 - 7:30pm
 Strathfield Mon 4:30 - 7:30pm Wed 4:30 - 7:30pm Thu 4:30 - 7:30pm Sat 4:40 - 7:40pm
 Sydney City

per Hour

x

per Lesson

x

per Term

=

## \$1215

per Term (inc. GST)

What you'll get

• #### Additional online resources including practice papers and solutions

Love us or walk away!

All courses come with a First Lesson Money Back Guarantee.

## How is Matrix different?

MatrixOthers ##### Teachers

Matrix

Vast classroom teaching experience, HSC and/or university teaching experience with an ability to explain concepts clearly

Others

Have little or no actual teaching experience, cannot explain difficult concepts in a manner that students can understand ##### Program

Matrix

Teaching program that covers the NSW board of studies syllabus. Structured learning system that allows students to develop sound study habits every week

Others

Most private tutors and other tuition centres do not follow a set structure; rather they have an ad-hoc approach without considering timing and outcomes ##### Resources

Matrix

A full set of resources written by academics and education researchers. Online access to Supplementary exam papers / texts with top responses.

Others

Only address content that students raise, use generic textbooks. ##### Assessments

Matrix

Short quizzes and topic tests held under strict exam conditions to ensure students have a solid understanding of the subject

Others

No exam style quizzes and test that assess the student’s weaknesses, hence not being able to identifying their learning needs ##### Reporting

Matrix

Weekly tracking of Grades, Quiz and Topic Test results so student and parents can monitor their progress.

Others

No measured tracking process so they cannot tell if the student is struggling or improving. ##### Learning Management System

Matrix

Share information, academic resources and advice with classmates from over 220 schools.

Others

Do not have the library of resources or past exams that can help students excel ##### One-to-One Workshops

Matrix

Free workshops to target individual learning needs

Others

No additional support outside the lesson.

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