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.