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 |
Foundation Mathematics
Overview:
In Foundation Mathematics there is a strong emphasis on using Maths in practical contexts relating to everyday life, personal work and study. Some of the topics studied are Finance, Sport, House and Land, Travelling, Car Safety, Water wise and School musical.
Selection advice:
Foundation Mathematics Units 1 & 2 are designed for students who are not academically strong in mathematics, but who require some VCE mathematics in preparation for work and/or further study or training.
Links to further pathways:
This subject does not have a Unit 3/4 component. However, students who do well in Units 1 & 2 are encouraged to follow a mathematics pathway beyond Year 11.
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 Employment Limited 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 |
Employment Limited opportunities exist for all students directly from VCE. See the Careers Teacher about Traineeships and Apprenticeships. |
General Mathematics
Overview:
General Mathematics provides courses for diverse groups of students and may be implemented in a number of ways. In undertaking these units, students are expected to be able to apply techniques, routines and processes involving rational and real arithmetic, sets, lists and tables, diagrams and geometric constructions, algebraic manipulation, equations and graphs with and without the use of technology.p
Unit 1
This unit focuses on six areas of study:
- Algebra and structure
- Arithmetic and number
- Discrete mathematics
- Geometry; measurement and trigonometry
- Graphs of linear and non-linear relations
- Statistics
Unit 2
This unit focuses on six areas of study:
- Algebra and structure
- Arithmetic and number
- Discrete mathematics
- Geometry; measurement and trigonometry
- Graphs of linear and non-linear relations
- Statistics
Assessment activities:
- Data modelling; Univariate and Bivariate Data
- Topic tests:
- Networks and Graph Theory
- Financial Mathematics
- Sequences and Series
- Trigonometry
- Matrices
- Measurement
- End of unit exams
Selection advice:
General Mathematics Standard Units 1 & 2 are designed for students who have satisfactorily completed Year 10 Core or Analytical Maths but only wish to study Further Mathematics in Year 12, and not Maths Methods 3 & 4 or Specialist Maths 3 & 4.
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 (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 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
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
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 1 & 2 Specialist Mathematics
Units 1 and 2 provide a course of study for students who wish to undertake an advanced, in-depth study of Mathematics. This study has a focus on the discipline of Mathematics in its own right and investigation of a broad range of applications, as well as development of a sound background for further studies in Mathematics and Mathematics related fields.
Mathematical Methods Units 1 and 2 and Specialist Mathematics Units 1 and 2, taken in conjunction, provide comprehensive preparation for Specialist Mathematics Units 3 and 4. The areas of study for Units 1 and 2 of Specialist Mathematics are ‘Algebra and structure’, ‘Arithmetic and number’, ‘discrete mathematics’, ‘Geometry, measurement and trigonometry’, ‘Graphs of linear and non-linear relations’ and ‘Statistics’.
Assessment activities:
- Topic tests
- Number systems and recursion (prescribed topic)
- Sequences and series
- Geometry in the plane (prescribed topic)
- Trigonometry
- Vectors in the plane
- Kinematics
- Circular functions
- Linear and non-linear graphs
- End of unit exams
Selection advice:
Students need to excel in all areas of Mathematics and particularly advanced Algebra skills are essential. 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. |