Mathematics
Click on one of the buttons below to learn about how you can study Mathematics in VCE at Kardinia International College.
Units 1 and 2
Units 3 and 4
Units 1 and 2
General Mathematics - Units 1 and 2
General Mathematics provides for different combinations of students interests and preparation for study of VCE General Mathematics at Unit 3 and 4 level.
Areas of study
- Data analysis, probability and statistics: Investigating and comparing data distributions, Investigating relationships between two numerical variables
- Algebra, number and structure: Arithmetic and geometric sequences, first-order linear recurrence relations and financial mathematics
- Functions, relations and graphs: Linear functions, graphs, equations and models, Variation
- Discrete mathematics: Matrices, Graphs and Networks
- Space and measurement: Shape, measurement and applications of trigonometry
Outcomes
- Define and explain key concepts as specified in the content from the areas of study, and apply a range of related mathematical routines and procedures.
- Apply mathematical processes in non-routine contexts, including situations with some open-ended aspects requiring investigative, modelling or problem-solving techniques or approaches, and analyse and discuss these applications of mathematics.
- Apply computational thinking and use numerical, graphical, symbolic and statistical functionalities of technology to develop mathematical ideas, produce results and carry out analysis in situations requiring investigative, modelling or problem-solving techniques or approaches.
Units 3 and 4
General Mathematics - Units 3 and 4
These units are designed to follow on from General Mathematics Unit 1 and Unit 2. It will provide a broad base of mathematical experience which is considered suitable for employment or further study where mathematics is a supporting subject but not the main focus of the course. It may be taken on its own or in conjunction with Mathematical Methods Unit 1 and Unit 2.
Areas of study
- Data analysis: Investigating data distributions, Investigating association between two variables, Investigating and modelling linear associations, Investigating and modelling time series data
- Discrete mathematics: Recursion and financial modelling, Matrices, Networks and decision mathematics
Outcomes
- Define and explain key concepts as specified in the content from the areas of study, and apply a range of related mathematical routines and procedures.
- Apply mathematical processes in non-routine contexts, including situations with some open-ended aspects requiring investigative, modelling or problem-solving techniques or approaches, and analyse and discuss these applications of mathematics.
- Apply computational thinking and use numerical, graphical, symbolic and statistical functionalities of technology to develop mathematical ideas, produce results and carry out analysis
Units 1 and 2
Units 3 and 4
Units 1 and 2
Mathematical Methods - Units 1 and 2
These units are designed as preparation for Mathematical Methods Units 3 and 4.
Areas of study
- Functions, relations and graphs
- Algebra, number and structure
- Calculus
- Data analysis, probability and statistics
Outcomes
- Define and explain key concepts as specified in the content from the areas of study and apply a range of related mathematical routines and procedures.
- Apply mathematical processes in non-routine contexts, including situations with some open-ended aspects requiring investigative, modelling or problem-solving techniques or approaches, and analyse and discuss these applications of mathematics.
- Apply computational thinking and use numerical, graphical, symbolic and statistical functionalities of technology to develop mathematical ideas, produce results and carry out analysis in situations requiring investigative, modelling or problem-solving techniques or approaches.
Units 3 and 4
Mathematical Methods - Units 3 and 4
These units follow on directly from Mathematical Methods Unit 1 & Unit 2 and in particular, will assume knowledge of material studied in Unit 2. It may be taken in conjunction with either General Mathematics Unit 3 & Unit 4 or Specialist Mathematics Unit 3 & Unit 4. It is intended to provide suitable foundation for further studies in courses such as Science, Economics, Medicine and Engineering.
Areas of study
- Functions, relations and graphs
- Algebra, number and structure
- Calculus
- Data analysis, probability and statistics
Outcomes
- Define and explain key concepts as specified in the content from the areas of study and apply a range of related mathematical routines and procedures.
- Apply mathematical processes in non-routine contexts, including situations with some open-ended aspects requiring investigative, modelling or problem-solving techniques or approaches, and analyse and discuss these applications of mathematics.
- Apply computational thinking and use numerical, graphical, symbolic and statistical functionalities of technology to develop mathematical ideas, produce results and carry out analysis in situations requiring investigative, modelling or problem-solving techniques or approaches.
Units 1 and 2
Units 3 and 4
Units 1 and 2
Specialist Mathematics - Units 1 and 2
This subject provides a course of study for students who wish to undertake an in-depth study of mathematics. This subject is designed to be taken in conjunction with Mathematical Methods Unit 1 and Unit 2 in preparation for Specialist Mathematics Unit 3 and Unit 4.
Areas of study
- Algebra, number and structure: Proof and number, Graph theory, Logic and algorithms, Complex numbers
- Discrete mathematics: Sequences and series, Combinatorics, Matrices
- Data analysis, probability and statistics: Simulation, sampling and distributions
- Space and measurement: Trigonometry, Transformations, Vectors in the plane
- Functions, relations and graphs
Outcomes
- Define and explain key concepts as specified in the content from the areas of study and apply a range of related mathematical routines and procedures.
- Apply mathematical processes in non-routine contexts, including situations with some open-ended aspects requiring investigative, modelling or problem-solving techniques or approaches, and analyse and discuss these applications of mathematics.
- Apply computational thinking and use numerical, graphical, symbolic and statistical functionalities of technology to develop mathematical ideas, produce results and carry out analysis in situations requiring investigative, modelling or problem-solving techniques or approaches.
Units 3 and 4
Specialist Mathematics - Units 3 and 4
This subject is designed to be taken in conjunction with Mathematical Methods Unit 3 and Unit 4 and would normally require that both mathematics subjects were studied at year 12. It is intended for students who wish to undertake specialist courses in mathematics and related disciplines, such as Engineering.
Areas of study
- Discrete Mathematics: Logic and proof
- Functions, Relations and Graphs
- Algebra, Number and Structure: Complex numbers
- Calculus: Differential calculus and integral calculus, Differential equations, Kinematics: rectilinear motion
- Space and Measurement: Vectors, Vector and Cartesian equations, Vector calculus
- Data Analysis, Probability and Statistics: Distribution of linear combinations of random variables, Distribution of the sample mean, Confidence intervals, Hypothesis testing
Outcomes
- Define and explain key concepts as specified in the content from the areas of study and apply a range of related mathematical routines and procedures.
- Apply mathematical processes in non-routine contexts, including situations with some open-ended aspects requiring investigative, modelling or problem-solving techniques or approaches, and analyse and discuss these applications of mathematics.
- Apply computational thinking and use numerical, graphical, symbolic and statistical functionalities of technology to develop mathematical ideas, produce results and carry out analysis in situations requiring investigative, modelling or problem-solving techniques or approaches.
