# What our Year 12 Maths Extension 2 students will develop

### 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.

### Problem solving skills

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

### Working with Clarity

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 12 Maths Extension 2 students receive

Mathematics Theory Book

Mathematics Workbook

Weekly Matheatics Quiz

Mathematics Workshops

End of Term Topic Test

## We take the worry out of your HSC

Year 12 Maths Ext 2 Term Course Program

Complex Numbers

Polynomials

Curve Sketching

Conics

#### Topics

Methods of Integration

Volumes

#### Topics

Mechanics

Harder Inequalities

Mathematical Induction

Probability

Circle Geometry

### The Matrix Method for MathsTM

• ##### Understanding
• Step 1. Theory
Developing a thorough understanding of concepts is the first step to mastering Maths. Learn from Matrix Theory Books that are carefully structured to help you understand even the most complex stuff!
• Step 2. Application
Memorising formulas will only get you so far. Consolidate your understanding by learning how to apply concepts and techniques to solve problems.
• Step 3. Examples
Work through examples that will actually be in your exam. You'll learn how to present your solution for maximum marks in exams.
• ##### Exam Skills (50% of Course Time)
• Step 4. Concept Checks
Learn the most efficient problem solving techniques with different types of exam-style questions.
• Step 5. Workbook Questions
Practice sharpening your skills with hundreds of exam-style questions. It's important to keep practising as this is the only way to find the right balance between speed and accuracy.
• Step 6. Quiz and Feedback
Weekly quizzes and feedback provide you with opportunities to identify your gaps and address them ASAP.
• Step 7. Topic Test
Working under exam conditions will boost your confidence for the real thing. Learn from your mistakes and fill your gaps so you are continually improving.

## Year 12 Maths Ext 2 Term Course Details

9 weekly lessons in the school term

#### Oct - Dec

Complex Numbers and Polynomials

Lesson 1: Introduction to Complex Numbers

Lesson 2: Complex Number Theories and Argand Diagram

Lesson 3: Vectors in Argand Diagrams

Lesson 4: Complex Loci and Triangle Inequality

Lesson 5: De Moivre’s Theorem and its Applications

Lesson 6: Complex Numbers and Polynomial

Lesson 7: Theories of Polynomials

Lesson 8: Fundamental Theorem of Algebra, Roots and Co-efficient of Polynomials

Lesson 9: Review and Topic Test

#### Feb - Apr

Curve Sketching and Conics

Lesson 1: Curve Sketching 1

Lesson 2: Curve Sketching 2

Lesson 3: Implicit Functions and Graphing Composite Functions

Lesson 4: Introduction to Ellipse

Lesson 5: Parametric Equations and Geometrical Properties of Ellipse

Lesson 6: Guided Half Yearly Exam

Lesson 7: Introduction to Hyperbola

Lesson 8: Parametric Equations and Geometrical Properties of Hyperbola

Lesson 9: Rectangular Hyperbola and Harder Questions

#### Apr - Jun

Methods of Integration and Volumes

Lesson 1: Integration by Substitution and Review of Trigonometric Integration

Lesson 2: Powers of Trigonometric Functions and Integration by Substitution

Lesson 3: Partial Fractions and t-formula Substitution

Lesson 4: Integration by Parts and Harder Integration by Parts

Lesson 5: Recurrence Relations and Further Properties of Integrals

Lesson 6: Volumes 1

Lesson 7: Volumes 2

Lesson 8: Matrix Trial Exam and Review

Lesson 9: Review and Topic Test

#### Jul - Sep

Mechanics, Harder Inequalities, Mathematical Induction, Probability and Circle Geometry

Lesson 1: Resisted Motion

Lesson 2: Vertical Motion and Harder Resisted Motion

Lesson 3: Circular Motion and Applications

Lesson 4: Conical Pendulum and Motion around Banked Circular Track

Lesson 5: Harder Inequalities

Lesson 6: Harder Mathematical Induction

Lesson 7: Harder Probability and Circle Geometry

Lesson 8: Guided Practice Exam Paper

Lesson 9: Guided Mock HSC Exam

## 3 Hour Lesson Breakdown

Surprise yourself with how much you can learn in 3 hours

 30 min Introduction Revision, Quiz and Overview Teachers 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 understanding Teachers 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 understanding Teachers 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&A Students ask questions to clarify understanding. Students ask questions to clarify understanding.

## Year 12 Maths Extension 2 Timetable

9 weekly lessons for comprehensive knowledge and understanding.

 Chatswood Tue 4:30 - 7:40pm Sat 1:30 - 4:30pm
 Epping Sat 4:30 - 7:40pm
 Hurstville Tue 4:30 - 7:40pm Sat 9:30 - 12:30pm
 Strathfield Tue 4:30 - 7:40pm Sat 9:30 - 12:30pm Sat 1:30 - 4:30pm
 Town Hall Sat 4:30 - 7:40pm

9 daily lessons for advanced completion of whole term's content.

 Chatswood 1:30 - 4:30pm
 Epping 1:30 - 4:30pm
 Strathfield 9:30 - 12:30pm 1:30 - 4:30pm

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.

## Loved by over 4500 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

#### 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.