VCE Mathematics

 

MATHS PATHWAYS 11 into 12 2016

GENERAL MATHEMATICS Units 1 & 2

General Mathematics Units 1 & 2 allows students to study Further Mathematics Units 3 & 4.

Areas of Study

  • Algebra and Structure
  • Arithmetic and Number
  • Discrete Mathematics
  • Geometry, Measurement and Trigonometry
  • Graphs of linear and non-linear relations
  • Statistics

Outcomes
On completion of these units the student should be able to:

  • Define and explain key concepts as specified in the content from the areas of study and use this knowledge to solve routine application problems.
  • Select and apply mathematical facts, concepts, models and techniques from the topics covered in the unit to investigate and analyse extended application problems in a range of contexts.
  • Use a CAS calculator to develop mathematical ideas, produce results and carry out analysis in situations requiring problem-solving, modelling or investigative techniques or approaches

Assessment
Assessment tasks will be drawn from:
•    assignments
•    tests
•    summary or review notes
•    modelling tasks
•    problem solving tasks
•    mathematical investigations.

 

MATHEMATICAL METHODS Units 1 & 2
Mathematical Methods Units 1 & 2 allows students to study Mathematical Methods Units 3 & 4 and Specialist Mathematics Units 3 & 4

Other subjects that complement Mathematical Methods are:

Areas of Study
•    Functions and graphs
•    Algebra
•    Calculus
•    Probability and Statistics

Outcomes
On completion of these units the student should be able to:

  • Define and explain key concepts as specified in the areas of study and apply a range of related mathematical routines and procedures
  • Apply mathematical processes in non-routine contexts and analyse and discuss these applications of mathematics
  • Use a CAS calculator to produce results and carry out analysis in situations requiring problem solving, modelling or investigative techniques or approaches.

Assessment
Assessment tasks will be drawn from:
•    assignments
•    tests
•    summary or review notes
•    
modelling tasks
•    problem solving tasks
•    
mathematical investigations

 

 SPECIALIST MATHEMATICS Units 1 & 2

Specialist Mathematics may only be taken in conjunction with Mathematical Methods Units 1 & 2.

Specialist Mathematics Units 1 & 2 provides a comprehensive background for Mathematical Methods Units 3 & 4 and Specialist Mathematics Units 3 & 4.

It is strongly advised that students who are thinking of choosing Specialist Mathematics Units 3 & 4 complete the sequence of Specialist Unit 1 & 2.

Areas of Study

  • Algebra and Structure
  • Arithmetic and Number
  • Discrete Mathematics
  • Geometry, Measurement and Trigonometry
  • Graphs of linear and non-linear relations
  • Statistics

Outcomes
On completion of these units the student should be able to:

  • Define and explain key concepts as specified in the areas of study and apply a range of related mathematical routines and procedures
  • Apply mathematical processes in non-routine contexts and analyse and discuss these applications of mathematics
  • Use a CAS calculator to produce results and carry out analysis in situations requiring problem solving, modelling or investigative techniques or approaches.

Assessment
Assessment tasks will be drawn from:
•    assignments
•    tests
•    summary or review notes
•    modelling tasks
•    problem solving tasks
•    mathematical investigations

 

FURTHER MATHEMATICS Units 3 & 4

This subject may be selected by students who have undertaken either General Mathematics 1 & 2 and or Mathematical Methods 1 & 2.

Highly able students who successfully undertake Mathematics A in Year 10 may apply to accelerate into Further Mathematics Units 3 & 4 in Year 11. If acceleration is approved, the student must also select Maths Methods Units 1 & 2.

Areas of Study
•    Core: Data analysis
•    Core: Recursion and financial modelling
•    Modules—selection of 2 out of 4 modules: Matrices, Networks and decision mathematics, Geometry and measurement, Graphs and relations

Outcomes
On completion of these units the student should be able to:

  • Define and explain key concepts as specified in the areas of study and use this knowledge to apply a range of related mathematical techniques and models in routine contexts
  • Select and apply mathematical concepts, models and techniques in a range of contexts of increasing complexity
  • Use a CAS calculator to produce results and carry out analysis in situations requiring problem-solving, modelling or investigative techniques or approaches.

Assessment
•    School assessed coursework (Application Task and three Modelling/Problem Solving Tasks) for Unit 3 contributes 20 per cent and for Unit 4  contributes 14 per cent to the final assessment
•    Units 3 & 4 are also assessed by two end of year examinations which contribute 66 per cent in total to the final assessment

 

 MATHEMATICAL METHODS Units 3 & 4

Other subjects that complement Mathematical Methods are:

Areas of Study
•    Functions and Graphs
•    Algebra
•    Calculus
•    Probability and Statistics

Outcomes
On completion of these units the student should be able to:

  • Define and explain key concepts as specified in the areas of study and apply a range of related mathematical routines and procedures
  • Apply mathematical processes in non-routine contexts and to analyse and discuss these applications of mathematics
  • Use a CAS calculator to produce results and carry out analysis in situations requiring problem-solving, modelling or investigative techniques or approaches.

Assessment
•    School assessed coursework (Application Task and two Modelling/Problem Solving Tasks) contributes 17 per for each of Units 3 and 4
•    Units 3 and 4 are  also assessed by two end of year examinations which contribute 66 per cent to the final assessment



SPECIALIST MATHEMATICS Units 3 & 4

Mathematical Methods Units 3 & 4 must be taken in conjunction with this subject.

Other subjects that complement Specialist Mathematics are:

Areas of Study
•    Functions and Graphs
•    Algebra
•    Calculus
•    Vectors
•    Mechanics
•    Probability and Statistics

 

Outcomes
On completion of these units the student should be able to:

  • Define and explain key concepts as specified in the areas of study and apply a range of related mathematical routines and procedures
  • Apply mathematical processes in non-routine contexts and to analyse and discuss these applications of mathematics
  • Use a CAS calculator to produce results and carry out analysis in situations requiring problem-solving, modelling or investigative techniques or approaches.

Assessment
•    School assessed coursework (Application Task and two Modelling/Problem Solving Tasks) contributes 17 per for each of Units 3 and 4
•    Units 3 and 4 are  also assessed by two end of year examinations which contribute 66 per cent to the final assessment.

Click on this link to view some exciting uses of Mathematics developed by University Students.

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