# Year 11 Maths Ext 1 Holiday Courses

#### An entire term's contents in 9 days

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.

### 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.

#### Comprehensive resources

With access to the most experienced teachers and time-tested resources, you’ll be well prepared for your next exam. No more guesswork!

## Year 11 Maths Ext 1 Holiday Course students receive

Comprehensive Theory Book

Exam-Style Work Book

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

#### Topics

Functions and Relations

Non-Linear Functions

Absolute Values and Inequalities

Polynomials

#### Topics

Trigonometry and Inverse Trigonometry

Introductory Calculus

#### Topics

Graphical Relationships

Applications of Differentiation

Exponential and Logarithms

Motion in a Straight Line

Rates of Change

## Year 11 Maths Extension 1 Holiday Course Outline

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

Day 1

##### Functions and Relations

• Introduction to Functions & Relations
• Interval Notation
• Domain and Range
• Even & Odd Functions
• Piecewise Functions

Day 2

##### Linear Functions

• Midpoint of an Interval
• Equations of Straight Lines
• Point-Gradient Form of a Straight Line
• Parallel & Perpendicular Lines
• Points of Intersections
• Linear Inequalities

Day 3

• The Parabola

Day 4

##### Polynomials 1

• Revision of Polynomials
• The Remainder Theorem
• The Factor Theorem
• Deductions from the Factor Theorem
• Sketching Polynomials Using Roots

Day 5

##### Polynomials 2

• The Discriminant
• Relationships Between the Roots and Coefficients

Day 6

##### Graphs of Non-Linear Curves

• Cubic Curves
• Circles & Semi-circles
• Rectangular Hyperbola Curves
• Exponential Curves
• Graphical Solutions of Inequalities
• Graphs of Regions in the Number Plane

Day 7

##### Absolute Values

• Meaning of Absolute Values
• Graphs of Absolute Values
• Piecewise Definition of Absolute Values
• Equations Involving Absolute Values
• Inequalities Involving Absolute Values

Day 8

##### Inverse Functions

• Definition of Inverse Functions
• Deriving Inverse Functions
• Properties of Inverse Functions
• Graphs of Inverse Functions

Day 9

##### Review and in-class Topic Test

• Review and Topic Test

Day 1

##### Trigonometry 1

• Review of Trigonometric Ratios
• Simple Trigonometric Equations
• Fundamental Trigonometric Identities

Day 2

##### Trigonometry 2

• Sums and Differences of Angles
• Double Angle Formulae
• Product to Sums and Differences
• T-Formula

Day 3

##### Trigonometry 3

• Directions and Bearings
• Angle of Elevation and Depression
• Three Dimensional Trigonometry
• Sine Rule, Cosine Rule, Area of a Triangle

Day 4

##### Trigonometry 4

• Circular Measure of Angles
• Arc Length, Area of Sector
• Graphs of Trigonometric Functions

Day 5

##### Introductory Calculus

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

Day 6

##### Limits and the Derivative

• Introduction to Limits and Continuity
• Evaluating Limits of Quotients, Limits to Infinity
• Differentiation by First Principles

Day 7

##### Further Differentiation

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

Day 8

##### Inverse Trigonometric Functions

• Review of Functions and Inverse Functions
• Graphs of Inverse Trigonometric Functions
• Properties of Inverse Trigonometric Functions

Day 9

##### Review and in-class Topic Test

• Review and Topic Test

Day 1

##### Calculus and Curve Sketching 1

• Increasing and Decreasing Function
• Stationary Points
• The Second Derivatives
• Points of Inflection
• Stationary Points and the Second Derivatives

Day 2

##### Calculus and Curve Sketching 2 & Exponential & Logarithms 1

• Practical Applications of Maxima & Minima
• Review of Exponential and Logarithms
• Graphs of Logarithmic Function

Day 3

##### Exponentials & Logarithms 2

• Introduction to Euler’s Number
• Derivative of the Exponential Functions
• Real World Applications of Logarithmic Scales

Day 4

##### Exponentials & Logarithms 3

• Derivative of Logarithmic Function
• Applications of Differentiation
• Curve Sketching using Derivatives

Day 5

##### Further Applications of Calculus 1

• Motion in a Straight Line
• Displacement vs Distance
• Speed vs Velocity
• Acceleration
• Related Rates of Change

Day 6

##### Further Applications of Calculus 2

• Exponential Growth and Decay
• Newton’s Law of Cooling

Day 7

##### Graphical Transformation 1

• Curve Sketching Techniques
• Basic Transformation
• Reflections of Graph about axes
• Graphs Involving Absolute Values

Day 8

##### Graphical Transformation 2

• Graphs Involving Square Roots
• Graphs of Reciprocal Functions
• Addition and Subtraction of Ordinates
• Multiplications of Functions

Day 9

##### Review and in-class Topic Test

• Review and Topic Test

## 3 Hour Lesson Breakdown

9 daily lessons in the school holidays

 5 mins Introduction Overview of lessonObjectives and outcomes of each lesson are explained. Objectives and outcomes of each lesson are explained. 80 mins Theory Lesson Part 1 Gain in-depth knowledge and understandingBe guided by your Subject Matter Expert with practice and exam-style questions to reinforce your understanding of key concepts. 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 understandingBe guided by your Subject Matter Expert with practice and exam-style questions to reinforce your understanding of key concepts. Be guided by your Subject Matter Expert with practice and exam-style questions to reinforce your understanding of key concepts. 15 mins Review Q&AAsk questions you are unsure of to clarify your understanding. Ask questions you are unsure of to clarify your understanding.

per hour

x

per lesson

x

per course

=

## \$1215

per course (inc. GST)

What you'll get

## How is Matrix different?

MatrixOthers ##### Program

Matrix

Teaching program that covers the NSW Education Standard Authority 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.