# VCE Mathematics

**Top Scope College’s VCE Mathematics** course
is an accelerated program focused on developing the students’ mathematics
reasoning as well as effective problem solving techniques required to tackle
the level of difficulty posed by VCE. The program offers preparations for all
three sub-branches of mathematics in the VCE curriculum, including Further
Mathematics, Mathematics Methods and Specialist Mathematics, Unit 1&2 and
3&4.

**We are focused on the development of
students’:**

- Logical
and critical thinking necessary for complex problem solving

- An
efficient delivery of content, with a clear progression of knowledge that
builds upon previously learnt knowledge

- Calculator
skills from the start of year 11, so as to ensure their ability to use
technology to their advantage

- Effective
work habits and ethics

- Ability
to implement numerous mathematical tools in tandem for problem solving

- Accurate
and fast calculators as a part of technology-free skills

- Intuitive understanding of mathematical concepts as opposed to memorising formulas

A key component of our course is the inclusion of trial papers towards the end of the course to help prepare students for examinations, including exam time management and being acclimated to the difficulty and question styles presented in VCE exams.

Further Mathematics:

There are two cores and two
selective modules. In the two cores, there is **Data Analysis and Recursion
and Financial Modelling**. These two topics are compulsory for all students
who are taking Further Mathematics.

**Data Analysis** comprises 40 percent of the contents.
In Data Analysis, students will learn how to display and analyze the
distribution of both categorical and numerical data. They also need to
understand the associations between two variables and the time series plot as
well. For the second core chapter—**Recursion and Financial Modelling**, it
comprises 20 percent of all contents. In this core, students are expected to
understand basic financial models. This includes depreciation, compound
interest investment, reducing balance loans, annuities, and perpetuities.
Students need to know the difference between each financial model and its
application.

Apart from the two cores, each school will choose **two
modules** from Graphs and relations, Networks and decision mathematics,
Geometry and Measurement and Matrices. Each of the modules will contribute 20
percent to the whole content.

Mathematics Methods:

The study of simple elementary functions to include combinations of functions, algebra, calculus, probability and statistics, and their applications in a variety of practical and theoretical contexts. Knowledge and effective application of derivatives and differentiation forms the crux of unit 3 and 4 methods, which appears often in conjunction with complex algebra. Units 1 and 2 serve as a foundation to units 3 and 4, with the variety of functions, algebra and probability from units 1 and 2 being further explored at greater lengths in units 3 and 4.

Mathematics
Methods provides background for further study in science, humanities, economics
and medicine and is also a prerequisite subject for numerous courses at the
tertiary level, such as science, commerce or biomedicine.

Specialist Mathematics:

Designed to be taken in
conjunction with Mathematical Methods, or following previous completion of
Mathematical Methods Units 3 and 4. The areas of study extend content from
Mathematical Methods Units 3 and 4 to include rational and other quotient
functions as well as other advanced mathematics topics such as complex numbers,
vectors, differential equations, mechanics and statistical inference. Study of
Specialist Mathematics assumes concurrent study or previous completion of
Mathematical Methods Units 3 and 4.

Specialist Mathematics extends
upon the foundations built in Mathematical Methods, and offers crucial
knowledge that are required in tertiary studies entailing complex mathematical
application, such as engineering, mathematics or actuarial studies.