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IMPORTANT INFORMATION FOR YEAR 10 STUDENTS | Mathematics is not a compulsory subject in the VCE.
Year 10 Mathematics teachers will provide a recommendation to students (and course counsellors) identifying the most appropriate VCE Mathematics subject/s each student should select prior to course selection. Assessments, inclusive of CATS, tests and exam results, are used to guide this recommendation. It is important that all students select the most appropriate Mathematics pathway based on their demonstrated abilities. Students are also advised to check the tertiary prerequisite guide to ensure that they meet the listed Mathematics prerequisite/s, where appropriate.
Why study Specialist Mathematics?
Units 1–4 provide for the study of various mathematical structures, reasoning and proof. The areas of study in Units 3 and 4 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 logic and proof, complex numbers, vectors, differential equations, kinematics, and statistical inference. They also provide background for advanced studies in mathematics and other Science, Technology, Engineering And Mathematics (STEAM) fields.
*Study of Specialist Mathematics Units 3 and 4 assumes concurrent study or previous completion of Mathematical Methods Units 3 and 4. Students must study Mathematical Methods to qualify to study Specialist Mathematics.
Units 1 & 2
Units 1 & 2
UNIT 1
In Unit 1 Specialist Mathematics students develop an understanding of a more formal mathematical notation, definition, reasoning, and proof on a range of topics including: number systems, graph theory, sets, logic, Boolean algebra, algorithms, sequences, series, first-order linear difference equations, combinatorics, and matrices.
UNIT 2
In Unit 2 Specialist Mathematics students cover the study of linear combinations of random variables and the distribution of sample means within a population. They explore trigonometry and identities, transformations of the plane including rotations and vectors. Complex numbers are introduced including polar form, regions, and curves in the plane with quadratic factorisation over the field. Finally, with graphs students explore partial fractions, reciprocal and inverse circular functions, and simple transformation of locus lines, parabolas, circles, ellipses and hyperbolas in Cartesian, parametric and polar form.
Assessment
Assessment
Demonstration of achievement will be based on the student’s performance on a selection of the following tasks:
Topic tests
Completion of coursework exercises
A Mathematical Investigation which requires students to formulate an idea, explore the problem and communicate potential solutions.
Indicative contribution amount associated with this subject: $0
Indicative contribution amount associated with this subject: $0
Units 3 & 4
Units 3 & 4
UNITS 3 AND 4 CONTAIN SIX (6) AREAS OF STUDY
Area of Study 1 Logic and Proof,
Area of Study 2 Functions Relations and Graphs
Area of Study 3 Algebra Number and Structure (which involves Complex Numbers)
Area of Study 4 Calculus (Differential and Integral Calculus and applications)
Area of Study 5 Space and Measurement (Vectors, Vector Functions and Vector Calculus)
Area of Study 6 Data Analysis Probability and Statistics.
These areas of study are studied in a way that allows for progressive development of skills and knowledge and connections between areas of study to occur in a balanced way across Units 3 and 4.
Assessment
Assessment
Unit 3 requires students to complete an Application Task that involves two (2) or more areas of study.
Unit 4 requires students to complete two (2) problem-solving tasks, one of which must be data-analysis, probability, and statistics.
The level of achievement for Units 3 and 4 is also assessed by an end-of-year examination
Indicative contribution amount associated with this subject: $60
Indicative contribution amount associated with this subject: $60
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