Year 12 Maths

What is VCE Mathematics About?

Mathematics is the study of patterns in number and space.  It provides us with a means of communication that is international, logical and concise.  In VCE Mathematics you will engage in worthwhile and challenging Mathematical activities.  You will learn, practise and apply mathematical routines and techniques to find solutions to standard problems.  You will use Mathematics to model real-life situations and solve problems set in unfamiliar situations.  Most courses involve the use of computers and graphics calculators.

Mount Clear College offers a wide range of combinations to suit different abilities and career paths, but it is essential that you choose your Unit 1 & 2 Maths subjects very carefully, as this will affect your choice of Maths at the Unit 3 & 4 level.  Read the following pathway options carefully, and discuss these with your parents, your careers adviser and your current Maths teacher.  Consider your past performance in this subject and how well you have done in Year 10.  Where possible, try to keep your options open by attempting the level of Mathematics that you are confident in and what your Year 10 Maths teacher has recommended, based off what skills and abilities you have shown in Year 10.

What Mathematics Subjects Do We Offer?

The following Mathematics Units are offered at Mount Clear College:

Units 1 & 2   Units 3 & 4
Foundation Mathematics Further Mathematics
General Mathematics Mathematical Methods
Mathematics Methods Specialist Mathematics
Specialist Mathematics

Mathematical Methods and Tertiary Entrance Requirements:

As Mathematical Methods is an entry requirement for many tertiary courses, we strongly recommend students check the requirements for any tertiary courses they are considering for future study.

Calculators:

All students enrolled in any General Mathematics, Mathematical Methods, Further Mathematics, or Specialist Mathematics subject need an approved CAS Calculator (TI Nspire CAS Calculator approximately $230 brand new). Students enrolled in Foundation Mathematics should have an approved Scientific Calculator.  Approved calculators will be listed with the booklist.

Prerequisites for University Studies:

Check with Careers for which Mathematics subject you require for your desired University course.

Which Pathway should I choose? Selecting your Units 1 and 2

Year 10 Year 11 Year 12
Foundation Maths If you found the study of Mathematics challenging in Year 10 and only intend to complete Mathematics to Year 11 Unit 1 & 2 Foundation Maths No Maths subject
No Maths subject No Maths subject
Core Mathematics If you have Satisfactorily completed Year 10 Core Mathematics, and have a good understanding of Mathematics, and intend to study Further Maths in Year 12 Unit 1 & 2 General Mathematics Unit 3 & 4 Further Mathematics
No Maths subject
Analytical Maths If you have Satisfactorily completed Year 10 Analytical Mathematics, have achieved At Level or Above Level in your CATs, and intend to study Maths Methods or Specialist Maths in Year 12 Unit 1 & 2 Maths Methods Unit 3 & 4 Maths Methods
Unit 1 & 2 Maths Methods AND

Unit 1 & 2 Specialist Maths

Unit 3 & 4 Maths Methods AND

Unit 3 & 4 Specialist Maths

 

Further Mathematics

Units 3 & 4

Further Mathematics consists of two areas of study, a compulsory Core area of study to be completed in Unit 3 and an Applications area of study to be completed in Unit 4.

Assumed knowledge and skills for the Core are contained in the General Mathematics Units 1 and 2 topics: ‘Computation and practical arithmetic’, ‘Investigating and comparing data distributions’, ‘Investigating relationships between two numerical variables’, ‘Linear graphs and modelling’, ‘Linear relations and equations’, and ‘Number patterns and recursion’. For each module there are related topics in General Mathematics Units 1 and 2.

Assessment activities:

Unit 3

The Core comprises ‘Data analysis’ and ‘Recursion and financial modelling’

  • Data analysis
  • Recursion and financial modelling

Unit 4

The Applications comprises two modules to be completed in their entirety, from a selection of four possible modules: ‘Matrices’, ‘Networks and decision mathematics’, ‘Geometry and measurement’ and ‘Graphs and relations’.

  • First Module
  • Second Module
  • End of year examination and final assessment

Selection advice:

Students need to be competent from both a literacy and numeracy standpoint as there is a significant amount of key vocabulary and knowledge that needs to be understood. They must also be prepared to utilise ICT to support their learning. It is a requirement that all students purchase a Ti-Nspire CAS calculator to satisfy the requirements of the course.

Links to further pathways:

TAFE Certificates of Diplomas in: Nursing Age Care Child Care Business Sport and Recreation University Bachelor Degrees in: Performing Arts Drama Arts/Media Visual Arts Graphic Design Commerce Teaching Applied Science plus many more employment opportunities exist for all students directly from VCE. See the Careers Teacher about Traineeships and Apprenticeships.

TAFE Certificates of Diplomas in:

Nursing

Age Care

Child Care

Business

Sport and Recreation

University Bachelor Degrees in:

Performing Arts

Drama

Arts/Media

Visual Arts

Graphic Design

Commerce

Teaching

Applied Science

plus many more

Employment

Opportunities exist for all students directly from VCE.

 

See the Careers Teacher about

Traineeships and

Apprenticeships

Mathematical Methods

Units 1 & 2

These units are designed in particular as preparation for Mathematical Methods Units 3 & 4. The areas of study for units 1 & 2 are Functions and Graphs, Algebra, Calculus and Probability.

Mathematical Methods Units 1 & 2 are designed for students who excel in all algebraic areas of Mathematics and/or who wish to pursue a tertiary course which requires Mathematical Methods (sometimes with Specialist Maths) for entry – eg Engineering, Mathematics, many Science and Information Technology courses and some Commerce courses. These units have an extremely strong Algebraic focus aimed at the development of the concepts of Calculus.

Assessment activities:

Topic Assessments:

  • Linear equations and coordinate geometry
  • Quadratics
  • Functions and relations
  • Polynomials
  • Exponential functions & logarithms
  • Circular functions
  • Differentiation & anti-differentiation of polynomials
  • Probability & counting methods
  • End of unit exams

Selection advice:

Mathematical Methods Units 1 & 2 can only be attempted after a student has satisfactorily completed Year 10 Analytical Maths. The study builds directly on the work completed in Year 10 Analytical Maths

Units 3 & 4

Mathematical Methods Unit 3 and 4 consists of the following areas of study: Functions and Graphs, Calculus, Algebra and Probability which must be covered in a progression from Unit 3 to Unit 4 with an appropriate selection of content for each of Unit 3 and Unit 4.

Assessment activities:

Topic Assessments

  • Calculus based application task
  • Problem solving task 1: differential & integral calculus
  • Problem solving task 2: probability & statistics
  • Problem solving task 3: probability & statistics

Selection advice:

Mathematical Methods Units 3 & 4 can only be attempted after Maths Methods Units 1& 2 have been completed.  The study builds directly on the work completed in Mathematical Methods Units 1 & 2.

Links to further pathways:

TAFE Certificates of Diplomas in: Nursing Age Care Child Care Business Sport and Recreation Teaching Engineering University Bachelor Degrees in: Law Medicine Psychology Engineering Commerce Teaching Applied Science plus many more employment opportunities exist for all students directly from VCE. See the Careers Teacher about Traineeships and Apprenticeships.

TAFE Certificates of Diplomas in:

Nursing

Age Care

Child Care

Business

Sport and Recreation

Teaching

Engineering

University Bachelor Degrees in:

Law

Medicine

Psychology

Engineering

Commerce

Teaching

Applied Science

plus many more

Employment

Opportunities exist for all students directly from VCE.

 

See the Careers Teacher about

Traineeships and

Apprenticeships.

Specialist Mathematics

To study Specialist Mathematics Units 1 & 2 and 3 & 4, students must also study Mathematics Methods Units 1 & 2 and 3 & 4.

Units 3 & 4 Specialist Mathematics

Units 3 and 4 consist of the areas of study: ‘Functions and graphs’, ‘Algebra’, ‘Calculus’, ‘Vectors’, ‘Mechanics’ and ‘Probability and statistics’.

In undertaking these units, students will apply techniques, routines and processes involving rational, real and complex arithmetic, sets, lists and tables, diagrams and geometric constructions, algebraic manipulation, equations, graphs, differentiation, anti-differentiation and integration and inference with and without the use of technology. They should have facility with relevant mental and by-hand approaches to estimation and computation. The use of numerical, graphical, geometric, symbolic and statistical functionality of technology for teaching and learning mathematics, for working mathematically, is incorporated in all related assessments and throughout each unit.

Assessment activities:

Unit 3

Application task of 4-6 hour duration over a period of 1-2 weeks. A mathematical investigation of a practical or theoretical context involving content from two or more areas of study.  (Worth 50% of the School Assessed Coursework mark).

Unit 4

Problem solving and modelling tasks (each worth 25% of the School Assessed Coursework mark). End of year examination and final assessment (the final SAC mark contributes 34% to overall mark for the subject).

Selection advice:

Students should have studied Specialist Mathematics in Year 11 (Units 1 & 2) and Maths Methods in Year 11 (Unit 1 & 2) and need to excel in all areas of Mathematics, particularly Algebra and Calculus. They also need to be studying Mathematical Methods Units 3 & 4 or have studied them previously.

They also need high levels of literacy as there is a significant amount of key vocabulary and knowledge that needs to be understood. Students need to have a keen interest in mathematics and a desire to extend their knowledge of the subject. They must also be prepared to utilise ICT to support their learning. It is a requirement that all students purchase a Ti-Nspire CAS calculator (Approx $230 brand new) to satisfy the requirements of the course.

Links to further pathways:

TAFE Certificates of Diplomas in: Nursing Age Care Child Care Business Sport and Recreation Teaching Engineering University Bachelor Degrees in: Law Medicine Psychology Engineering Commerce Teaching Applied Science plus many more Employment Opportunities exist for all students directly from VCE. See the Careers Teacher about Traineeships and Apprenticeships.

TAFE Certificates of Diplomas in:

Nursing

Age Care

Child Care

Business

Sport and Recreation

Teaching

Engineering

University Bachelor Degrees in:

Law

Medicine

Psychology

Engineering

Commerce

Teaching

Applied Science

plus many more

Employment

Opportunities exist for all students directly from VCE.

 

See the Careers Teacher about

Traineeships and

Apprenticeships.

Related Subjects

Units 1-4

Accounting

This subject focuses on the procedures of accounting and finance and the way in which these may be used.

Units 3-4

Australian History

This subject would suit students with an interest in history who like to research information to broaden their knowledge and understanding of Australian history.