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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 Mathematical Methods?
Why study Mathematical Methods?
Units 1–4 provide for the study of simple elementary functions, transformations and combinations of these functions, algebra, calculus, probability and statistics, and their applications in a variety of practical and theoretical contexts. They also provide background for further study in, for example, Science, Technology, Engineering And Mathematics (STEAM), economics and biomedicine.
* Students undertaking Mathematical Methods Units 1 to 4 or Specialist Mathematics Units 1 to 4 are assumed to have a very strong background in number, algebra, function, geometry, probability and statistics, and should choose to study both VCE Specialist Mathematics and VCE Mathematical Methods concurrently.
Units 1 & 2
Units 1 & 2
UNIT 1
In Unit 1 Mathematical Methods, students explore the functions of linear, quadratics and other higher order polynomials by looking at their key features. They explore the algebra associated with these functions and their transformations of the plane. In calculus, they explore both constant and average rates of change in both numerical and graphical situations. Finally, they explore the concept of experiments in probability including lists, grids, Venn diagrams and tables. They are also introduced to counting principles and their techniques.
UNIT 2
In Unit 2 Mathematical Methods, students explore the graphical representations of circular, exponential, and logarithmic functions. The focus is on describing key features and the impact of transformations on the plane for each graph. Differentiation and anti-differentiation of polynomial functions are explored by rule, notation, and application to the graph. Finally, within the topic probability students are introduced to the concepts of complementary, mutually exclusive, conditional, and independent events with up to three events.
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 FOUR (4) AREAS OF STUDY
Area of Study 1 focuses on transformations of functions and their behaviours including key features
Area of Study 2 explores the algebra of functions including composite functions, inverse functions, and solutions to equations. Students identify appropriate solutions and systems of equations using both numerical and graphical techniques.
Area of Study 3 studies differentiation and anti-differentiation of functions including the graphical treatment of limits, continuity, and differentiability
Area of Study 4 explores the topic of probability including discrete and continuous random variables. The focus is on notation, related parameters, properties and application, and interpretation in context for a given probability distribution.
Assessment
Assessment
Unit 3 requires students to complete an Application Task that is a function and calculus based mathematical investigation.
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: $35
Indicative contribution amount associated with this subject: $35
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