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Mathematics Advanced

Choosing The Right Year 11 Mathematics Course

In this post, we'll hope you figure out which is the right Mathematics course for you.

In this post, we answer some frequently asked questions from Year 10 students about choosing the right Mathematics course for Year 11:

  • When does the new Year 11 & 12 (Stage 6) Mathematics Syllabus start?
  • What are the differences between Mathematics Advanced vs Mathematics Extension 1?
  • Should I choose Mathematics Advanced or Mathematics Extension 1?
  • How important is Year 11 Mathematics courses in the HSC?
  • How do the different Mathematics courses scale?

The New Year 11 & 12 (Stage 6) Mathematics syllabus starts in 2019, not in 2018.

NESA has produced a new Stage 6 Syllabus that was meant to start in 2018. However, its introduction has been postponed to 2019. So, 2018 Year 11 students will NOT begin the study of the new Year 11 & 12 (Stage 6) Mathematics Syllabus.

This means 2017 Year 10 students will study the current Stage 6 Mathematics Syllabus in 2018, unlike English and Science which commence in 2018.

 

The current Year 11 Mathematics syllabus

Year 11 Mathematics is the first year of Stage 6 Mathematics.

  • Year 9 and 10 Mathematics is known as Stage 5 Mathematics
  • Year 11 and 12 Mathematics is known as Stage 6 Mathematics

For Year 11 students, there are three different courses of study. Below are the NESA links to the course outlines:

For Year 12 students, there are four different courses of study:

 

Choosing the right Year 11 Mathematics course (Maths Standard 2, Maths Advanced, Maths Extension 1)

The different levels of Mathematics have different requirements for student competency and ability. To help students determine which Mathematics course is appropriate for them, we have created a flowchart that illustrates the level of achievement students need to attain for the different levels of Mathematics courses.

 

choosing-the-right-year-11-mathematics-course-flowchart

Students performance in Year 10 Mathematics should determine the level of Year 11 Mathematics they choose to study.

  • The Year 11 and 12 Maths Standard 1 courses are aimed at giving students proficiency in practical aspects of Maths for entry into the workforce
  • Year 11 and 12 Maths Standard 2 is aimed at further developing students Maths skills, but not to the level required for university degrees requiring Maths Advanced. Students who do well at this and wish to study a course at university requiring Maths Prerequisites will need to undertake a bridging course, although this subject will help prepare for such bridging study.
  • The Year 11 and 12 Mathematics Advanced course is intended for students who have demonstrated general competency in all the skills in the Year 10 Mathematics Advanced Course. If students struggled in Year 10 Mathematics Advanced, they should consider taking the Year 11 Mathematics Advanced course.
  • If students performed well in Year 10 Mathematics Advanced, they should consider taking the Year 11 Mathematics Extension 1 course.
  • The Year 11 and 12 Mathematics Extension 1 course is intended for students who have demonstrated a mastery of the skills in the Year 10 Mathematics Advanced course. If students performed well in Year 10 Mathematics Advanced, they should consider taking the Year 11 Mathematics Extension 1 course.

 

Various university courses now require Mathematics Advanced or higher as prerequisites

Universities are starting to introduce Mathematics prerequisites or/and recommended subjects with minimum HSC result for various courses.

Click here for a table of the University of Sydney degrees that will require a Maths prerequisite.

NESA recommends:

    • The Mathematics Advanced (2 Unit) course as the most appropriate for university courses such as in the Life Sciences, Business, Finance, Technology, and Education.
    • The Mathematics Extension 1 course as the most appropriate for university courses such as Physics, Chemistry, Engineering, Statistics, and Computer Science.

 

Why is Mathematics Extension 1 referred to as 3 Unit Mathematics?

The content of the Mathematics Extension 1 course includes the whole of the Mathematics Advanced (2 unit) course. Therefore, students sit HSC exams for:

  • The Year 12 Mathematics Advanced and
  • The Year 12 Mathematics Extension 1.

For this reason, the Year 12 Mathematics Advanced course is assigned 2 units of HSC marks and the Year 12 Mathematics Extension 1 course is assigned 1 unit of HSC marks. Hence the total number of units for this course is 3 units.

3 Unit Maths chart
Image: Breakdown of Mathematics Extension 1 (3 Unit)

 

Want to learn from the best for Maths Std 2?

The Matrix+ Maths Std 2 Y12 course will help you get HSC ready at home! Learn more.

CTA-Year-11-Maths-Adv-Online-Matrix-Plus-Course

Comparing Mathematics courses: Mathematics Standard 2 Vs Advanced vs Mathematics Extension 1

The Year 11 Mathematics Advanced and Extension 1 topics are listed below. Please note that in Year 11 Maths Extension 1, students will learn both Year 11 Maths Advanced and Extension 1 topics.

Table: Year 11 Mathematics Advanced and Extension 1 Syllabus
Year 11 Maths Standard 2Year 11 Maths AdvancedYear 11 Maths Extension  1
MS-A1: Formulae and EquationsBasic arithmetic and algebra (1.1 – 1.4)Other inequalities (1.4E)
MS-A2: Linear RelationshipsReal functions (4.1 – 4.4)Circle geometry (2.6 – 2.10)
MS-F1 (F1.1): Interest and depreciationTrigonometric ratios (5.1 – 5.5)Further trigonometry (5.6 – 5.9)
MS-M1 Applications of Measurement (M1.1)Linear functions (6.1-6.5, 6.7)Angles between two lines (6.6)
MS-F1 Money MattersThe quadratic polynomial and the parabola (9.1 – 9.5)Internal and external division of lines into given ratios (6.7E)
MS-M2 Working with TimePlane geometry (2.1 – 2.4)Parametric representation (9.6)
MS-S1 Data AnalysisTangent to a curve and derivative of a function (8.1 – 8.9)Permutations and combinations (18.1)
MS-S2 Relative Frequency and ProbabilityPolynomials (16.1 – 16.3)
Harder applications of the Preliminary 2 Unit course

Depending on schools, the Year 11 Mathematics Extension 1 program will vary.

  • Some schools choose to complete Year 11 Mathematics Advanced topics first before teaching Year 11 Mathematics Extension 1 topics.
  • Most schools choose to teach Year 11 Mathematics Advanced and Extension 1 topics one after the other.

At Matrix, we teach Year 11 Mathematics and Extension 1 topics one after the other. The Matrix Year 11 Mathematics Standard 2, Advanced, and Extension 1 course programs are shown below:

Table: Matrix Year 11 Mathematics Program
PeriodYear 11 Maths Standard 2Year 11 Maths AdvancedYear 11 Maths Extension 1
Sep- Dec
Launching January 2021
Basic Arithmetic and Algebra
Absolute Values
Linear Functions
Linear Functions
Non-Linear Curves
Absolute Values and Inequalities
Quadratic Polynomial
Jan – Apr
Launching January 2021
Functions and Relations
Trigonometric Ratios
Trigonometric ratios
Locus
Limits of the Derivative
Apr – Jun
Launching January 2021
Plane geometry
The Quadratic Polynomial
Locus and Parabola
Polynomials
Geometrical Applications of Differentiation
Parametric Representation
Jul – Sep
Launching January 2021
Introductory Calculus
Probability
Revision of Preliminary Topics
Sequences and Series
Circle Geometry
Integration
Volumes

 

The Year 12 Mathematics Advanced, Standard 2, and Extension 1 topics are listed below. Please note that Year 12 Maths Extension 1 students will learn both Year 12 Maths Advanced and Extension 1 topics.

Table: Year 12 Mathematics Standard 2,  Advanced, and Extension 1 Syllabus
Year 12 Maths Standard 2Year 12 Maths AdvancedYear 12 Maths Extension 1
MS-A4 Types of RelationshipsCoordinate methods in geometry (6.8)Method of integration (11.5)
MS-F4 Investments and LoansApplications of geometrical properties (2.5)Primitive of sin(2x) and cos(2x) (13.6E)
MS-N2 Network ConceptsGeometrical applications of differentiation (10.1-10.8)Exponential growth and decay equation (14.2E)
MS-F5 AnnuitiesIntegration (11.1 – 11.4)Velocity and acceleration as a function of ‘x’ (14.3E)
MS-M6 Non-right-angled trigonometryTrigonometric functions
(including applications of trigonometric ratios)
(13.1 – 13.6, 13.7)
Projectile motion (14.3E)
MS-M7 Rates and RatiosLogarithmic and exponential functions (12.1 – 12.5)Simple harmonic motion (14.4)
MS-N3 Critical Path AnalysisApplications of calculus to the physical world (14.1 – 14.3)Inverse functions and inverse trigonometric functions (15.1 – 15.5)
MS-S4 Bivariate Data AnalysisProbability (3.1 – 3.3)Induction (7.4)
MS-S5 The Normal DistributionSeries (7.1 – 7.3) and
Series applications (7.5)
Binomial theorem (17.1 – 17.3)
Further probability (18.2)
Iterative methods for estimating roots (16.4)
Harder applications of HSC 2 Unit topics

At Matrix, we teach Year 12 Mathematics and Extension 1 topics one after the other. The Matrix Year 11 Mathematics Standard 2, Advanced, and Extension 1 course programs are shown below:

Table: Matrix Year 12 Mathematics Program
PeriodYear 12 Maths Standard 2Year 12 Maths AdvancedYear 11 Maths Extension 1
Sep- Dec
Launching January 2021
Basic Arithmetic and Algebra
Absolute Values
Linear Functions
Linear Functions
Non-Linear Curves
Absolute Values and Inequalities
Quadratic Polynomial
Jan – Apr
Launching January 2021
Functions and Relations
Trigonometric Ratios
Trigonometric ratios
Locus
Limits of the Derivative
Apr – Jun
Launching January 2021
Plane geometry
The Quadratic Polynomial
Locus and Parabola
Polynomials
Geometrical Applications of Differentiation
Parametric Representation
Jul – Sep
Launching January 2021
Introductory Calculus
Probability
Revision of Preliminary Topics
Sequences and Series
Circle Geometry
Integration
Volumes

How important are the Year 11 Mathematics courses?

Students must remember that Year 11 is the first year of Stage 6 syllabus. This means that all the content from Year 11 Mathematics Advanced or/and Extension 1 are examinable in the HSC.

Below is an HSC exam question from the 2016 HSC Mathematics Advanced Exam Paper.

2016 HSC Mathematics Advanced Question 3

2016 HSC Math Advanced Q3
Source: NESA Website

This HSC exam question is from the Year 11 Maths Advanced topic: ‘The quadratic polynomial and the parabola (9.1-9.5)’!

 

All topics from Year 11 Mathematics Advanced and/or Extension 1 are examinable in the HSC

 

Below is a HSC exam question from the 2016 HSC Mathematics Extension 1 Exam Paper.

2016 HSC Mathematics Extension 1 Question 10
2016 HSC Maths Ext1 Q10

Source: NESA Website

 

This HSC exam question is from the Year 11 Maths Extension 1 topic: ‘Polynomials (16.1-16.3)’!

 

Scaling of Mathematics courses

Scaling is the process of converting HSC marks into scaled marks for comparison across different subjects. This conversion, or ‘scaling,’ is required as students undertake different levels of Mathematics.

A different level of scaling is applied to Mathematics courses as shown in the graph below.

Maths 2019 scaling graphs

Scaling of the 2019 HSC Mathematics subjects. Data from the 2019 UAC Scaling Report

 

As a general rule, the “harder” the unit of study, the “better” the scaling it receives.

Mathematics Extension 1 scales better than Mathematics Advanced.

Please note that, students should not choose their subjects based on scaling. Instead, scaling graphs should be used as the tool for determining your required position/rank in the state for you to obtain your desired ATAR.

For example,

  • A student in 60th percentile (top 40 percent in the state) in Mathematics Extension 2 will receive a scaled mark of 45/50 which equates to 90/100, whereas a student in the 60th percentile in Mathematics Extension 1 and Advanced will receive a scaled mark of 43/50 and 34/50 which equates to 86/100 and 68/100 respectively.
  • A student studying Mathematics Advanced will need to be in 97th percentile to receive the same scaled mark as the Mathematics Extension 2 student in 60th percentile.

In summary,

  • The Year 11 and 12 Stage 6 syllabus starts in 2019, not 2018.
  • Students need to carefully choose which mathematics courses they should take in Year 11.
  • Year 11 content for Mathematics Advanced and Extension 1 is examinable in the HSC.
  • The Mathematics courses scale differently, this should be taken into consideration by students when deciding which is the right course for them.

 

Want to learn from the best for Maths Std 2?

The Matrix Maths Std 2 Y12 course will help you get HSC ready with help from subject matter experts! Learn more.

CTA Maths Standard 2 on campus

Written by DJ Kim

DJ is the founder of Matrix Education and has over 20 years of HSC Physics teaching experience. He is the co-author of the Matrix Science program, course materials and assessments. He is also renowned for his ATAR & Scaling seminars and development of the first ATAR Calculator.

 

© Matrix Education and www.matrix.edu.au, 2018. Unauthorised use and/or duplication of this material without express and written permission from this site’s author and/or owner is strictly prohibited. Excerpts and links may be used, provided that full and clear credit is given to Matrix Education and www.matrix.edu.au with appropriate and specific direction to the original content.

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