Year 11 Maths Extension 1 Holiday Course

An entire term's contents in 9 days

Revise or get ahead

Catch up on missed content or accelerate with advanced completion of content before school. Gain a thorough knowledge of all key maths concepts and skills for exam success.

Essential skills

Learn to solve unfamiliar questions

Stay ahead of your peers. Be equipped with the Maths skills to solve new, unfamiliar and challenging Maths questions. Every time.

No more guesswork

Boost your confidence

Be confident knowing you’ll be taught by the most experienced teachers and time-tested resources.

 

Year 11 Maths Ext 1 Holiday Course students receive

Comprehensive Theory Book

Exam-Style Workbook

Daily Mathematics Quiz

One-to-One Tutorials (Workshops)

End of Term Topic Test

Exclusive Online Resources

Year 11 Maths Extension 1 Holiday Program

Learn essential skills in 9 days

 

N/A

 

Topics

Linear Functions

Non Linear Curve

Absolute Values

Inequalities

Quadratic Polynomial

Topics

Trigonometric Ratios

Further Trigonometric Ratios

Locus and Parabola

Introductory Calculus

Topics

Polynomials

Geometric Applications of Differentiation

Parametric Representation

Year 11 Maths Extension 1 Holiday Course Outline

Revise or Get ahead with our 9-Day Holiday Course.

 

Day 1

Linear Functions 1


  • Distance between Two Points
  • Midpoint of an Interval
  • Gradient of a Line
  • Equations of a Straight Line
  • Perpendicular Distance from a Point to a Line

Day 2

Linear Functions 2


  • Parallel Lines
  • Perpendicular Lines
  • Equation of a Line Through the Point of Intersection of Two Given Lines
  • Division of an Interval in a Given Ratio

Day 3

Graphs of Non-Linear Curves


  • Curve Sketching
  • The Parabola
  • Circles and Semi-Circles
  • The Cubic Curve
  • The Rectangular Hyperbola
  • The Exponential Curve

Day 4

Functions and Relations


  • Relations
  • Functions
  • Even and Odd Functions
  • Piece-wise Functions

Day 5

Absolute Values


  • The Meaning of Absolute Values
  • Graphs Involving Absolute Values
  • Equations Involving Absolute Values
  • Piece-wise Definition of Absolute Values

Day 6

Inequalities


  • Linear Inequalities
  • Quadratic Inequalities
  • Inequalities with the Unknown in the Denominator
  • Graphical Solutions of Inequalities
  • Graphs of Regions in the Number Plane

Day 7

Quadratic Polynomial 1


  • The Quadratic Polynomial
  • The Discriminant
  • Intersection of Curves and The Discriminant
  • Relationships Between The Roots and Coefficients

Day 8

Quadratic Polynomial 2


  • Equality of Two Quadratic Expressions
  • Maximum and Minimum Values
  • Equations Reducible to Quadratics
  • Intercept Theorems

Day 9

Revision and Topic Test


  • Review of key concepts of the topics
  • Review of exam-style questions.
  • Q&A
  • In-Class Topic Test

Day 1

Trigonometric Ratios 1


  • Review of Trigonometric Ratios
  • Fundamental Trigonometric Identities
  • Simple Trigonometric Equations
  • Past HSC Questions

Day 2

Trigonometric Ratios 2


  • Directions and Bearings
  • Angles of Elevation and Depression
  • 3-Dimensional Trigonometry
  • Right-Angled Triangle on the Base
  • Non Right-Angled Triangle on the Base
  • Past HSC Questions

Day 3

Further Trigonometric Ratios 1


    • Sums and Differences of Angles
    • Double Angle Results
    • Past HSC Questions

Day 4

Further Trigonometric Ratios 2


  • The Auxiliary Angle Method
  • t-Formulas
  • Solving Trigonometric Equations using t-Formula

Day 5

Locus


  • Introduction to Locus
  • Algebraic Description of the Locus
  • The Circle as a Locus
  • Past HSC Questions

Day 6

Locus and The Parabola


  • The Parabola as a Locus
  • Translated Parabolas
  • Past HSC Questions

Day 7

The Derivative


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

Day 8

Limits and The Derivative


  • Limits of a Function
  • Limits of Quotients
  • Limits to Infinity
  • Secants and Tangents

Day 9

Further Differentiation


  • The Chain Rule
  • The Product Rule
  • The Quotient Rule
  • Past HSC Questions
  • Topic Test

Day 1

Introduction to Polynomials


  • Operations with Polynomials
  • The Division Transformation
  • The Remainder Theorem
  • The Factor Theorem
  • Deductions from The Factor Theorem

Day 2

Further Polynomials


  • Polynomial Equations
  • Graphs of Polynomial Functions
  • Relationships Between The Roots and Coefficients
  • Past HSC Qeustions

Day 3

Applications of The First and Second Derivative


  • Review of Differentiation
  • Geometrical Significance of f'(x)
  • Monotonic Functions
  • Stationary Points
  • The Second Derivative

Day 4

Applications of Differentiation to Curve Sketching


  • Sketching Curves
  • Sketching The Gradient Function
  • The Curve of The Gradient Function
  • Past HSC Questions

Day 5

Applications of Maxima and Minima


  • Practical Applications of Maxima and Minima involving One Variable
  • Practical Applications of Maxima and Minima involving Two Variables
  • Further Maxima and Minima Problems
  • Past HSC Questions

Day 6

Introduction to Parametric Representation


  • Cartesian and Parametric Equations
  • Parametric Equations of a Parabola
  • The Equation of a Chord of a Parabola
  • Equations of Tangents to The Parabola
  • Equation of Normal to The Parabola
  • Past HSC Questions

Day 7

Further Parametric Representation


    • Derivatives of Parametric Equations
    • Point of Intersection of Tangents and Normals
    • Equation of The Chord of Contact
    • Geometric Properties of The Parabola
    • Past HSC Questions

 

Day 8

Parametric Representation: Locus


    • Locus of a Moving Point
    • Locus Problems Involving One Variable
    • Locus Problems Involving Two Variables
    • Locus Problems Involving Restrictions

 

Day 9

Revision and Topic Test


  • Review of key concepts of the topics
  • Review of exam-style questions.
  • Q&A
  • In-Class Topic Test

3 Hour Lesson Breakdown

9 daily lessons in the school holidays

 

5 mins

Introduction

Overview of lesson

Objectives and outcomes of each lesson are explained.

80 mins

Theory Lesson Part 1

Gain in-depth knowledge and understanding

Be guided by your subject matter expert with practice and exam-style questions to reinforce your understanding of key concepts.

10 mins

Break

80 mins

Theory Lesson Part 2

Gain in-depth knowledge and understanding

Be guided by your subject matter expert with practice and exam-style questions to reinforce your understanding of key concepts.

15 mins

Review

Q&A

Ask questions you are unsure of to clarify your understanding.

Year 11 Maths Ext 1 Holiday Course Timetable

Town Hall Campus

15 – 25 January 2018

Time: 4:40pm – 7:40pm

Year 11 Maths Extension 1 Holiday Course Pricing

 

$1,215
(inc GST)
Enrol now and you’ll receive

Year 11 Maths Extension 1 Holiday Course Includes:

 

Classes taught by inspirational teachers

5 engaging theory lessons

Comprehensive Theory Book & Workbook

One-to-One tutorials during term (Workshops)

Online access to resources

Topic test and personalised feedback

Loved by over 4000 students across 220 schools

 

I improved significantly during my time at Matrix for Physics through the help I received from Matrix.

- Jason Xu, 2016 Year 12 Maths

How is Matrix different?

 


    Matrix Others

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.

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.

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.

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