1. Gaya Kehidupan (Lifestyles)
2. Geografi dan Lingkungan (Geography and the Environment)
3. Hiburan dan Remaja (Entertainment and Young people)
Outcomes
On completion of this unit the student should be able to establish and maintain a conversation, write about personal experiences, listen for and read for specific information and respond personally to real or imaginative experiences.
1. Bertamasya (Visiting Indonesia)
2. Sejarah dan cerita dari zaman dahulu (History and stories of the past)
3. Pahlawan (Heroes)
On completion of this unit the student should be able to learn to negotiate through role plays, read and listen to information and write or perform a personal or imaginative piece.
1. Adat Istiadat (Customs and traditions).
2. Kesehatan (Health)
3. Citacita dan Pekerjaan (Aspirations and Work).
On completion of this unit the student should be able to express ideas through speaking and writing, analyse and use information they have heard, and exchange information, opinions and experiences through speaking and writing.
Writing Task  a 250 word personal or imaginative written piece.
Listening Task  response to specific questions, messages or instructions, extracting and using the information requested.
Speaking Task – a 34 minute roleplay, focusing on the resolution of an issue.
1. Pengaruh Barat (Western Influences)
2. Detailed study.
3. Revision
On completion of this unit the student should be able to analyse and use information from written texts, respond critically to spoken and written texts which reflect aspects of the language and culture.
Reading Task  response to specific questions, messages, instructions, extracting and using information requested
Speaking Task  a 34 minute interview on an issue related to the texts studied.
The study of Italian contributes to the overall education of our students who live in a culturally diverse world. Areas of focus are communication, crosscultural understanding and awareness, literacy and general knowledge. The students discover the potential to apply Italian to work, further study, training or leisure.
VCE UNIT 1: Italian
Areas of study

L’identita` e famiglia (Identity and Family)

I miei amici (My Friends)

I miei hobby (My hobbies)

La scuola (School)

Il Futuro ( The Future)
Outcomes
On completion of this unit the student should be able to establish and maintain a conversation, write about personal experiences, listen for and read for specific information and respond personally to real or imaginative experiences.
Assessment tasks
Speaking Task  Informal conversation
Reading Task  read, extract and reorganize information
Listening Task  listen to conversations/interviews and extract information
Writing Task  review or article, letter or email
VCE UNIT 2: Italian
Areas of study

Le Superstizioni (Superstitions)

Le Donne e Lavoro (Women and the Workplace)

Prodotti Italiani “Il Made In Italy” ( Italian Products)

Commercio tra Italia ed Australia (Commerce Trade between Italy and Australia)
Outcomes
On completion of this unit the student should be able to learn to negotiate through role plays, read and listen to information and write or perform a personal or imaginative piece.
Assessment tasks
Speaking Task  Role play or Interview
Reading Task – read, extract and reorganize information
Listening Task  listen to conversations/interviews and extract information
Writing Task  a formal letter/fax or email, journal entry/personal account/short story
VCE UNIT 3: Italian
Areas of study

Le Fiabe (Fairytales)

Gruppi di Minoranza in Italia e in Australia ( Minority groups in Italy and in Australia)

I Rom (The Rom gypsies)
Outcomes
On completion of this unit the student should be able to express ideas through speaking and writing, analyse and use information they have heard, and exchange information, opinions and experiences through speaking and writing.
Assessment tasks

Writing Task  a 250 word personal or imaginative written piece.

Listening Task  response to specific questions, messages or instructions, extracting and using the information requested.

Speaking Task – a 34 minute roleplay, focusing on the resolution of an issue.
VCE UNIT 4: Italian
Areas of study

Le origini del ghetto (The origins of the ghetto)

Detailed study

Revision
Outcomes
On completion of this unit the student should be able to analyse and use information from written texts, respond critically to spoken and written texts which reflect aspects of the language and culture.
Assessment tasks

Reading Task  response to specific questions, messages, instructions, extracting and using information requested.

Writing Task – a 250300 word informative or persuasive written response.

Speaking Task  a 34 minute interview on an issue related to the texts studied.
Detailed Study
The Detailed Study enables the students to explore and compare aspects of the language and the culture of the Italian speaking community through a range of oral and written texts in the target language. The students are expected to discuss their Detailed Study through the texts chosen as reference, in the second part of the oral exam (8 minutes)
The topic of the Detailed Study is: I Ghetti in Italia (The Ghettos in Italy)
Oral Exam
The oral exam is made up by two sessions:

Conversation (approximately 7 minutes)

Discussion (approximately 8 minutes on chosen aspects of the Detailed Study)
The assessment criteria include: communication, content and language
Written Exam
The written exam is held over two hours and includes 15 minutes of reading time. It includes three sections:

Listening and responding

Reading and responding

Writing
The assessment criteria focus on comprehension and the ability to convey clear and accurate messages.
MATHEMATICS
RATIONALE
Mathematics is the study of function and pattern in number, logic, space and structure. It provides both a framework for thinking and a means of symbolic communication that is powerful, logical, concise and unambiguous and a means by which people can understand and manage their environment.
UNDERLYING PRINCIPLE
It is an underlying principle of the Mathematics study that all students will engage in the following mathematical activities:
1. Apply knowledge and skills
The study of aspects of the existing body of mathematical knowledge through learning and practising mathematical algorithms, routines and techniques, and using them to find solutions to standard problems.
2. Model, investigate and solve problems
The creative application of mathematical knowledge and skills in unfamiliar situations, including reallife situations, which require investigative, modelling or problemsolving approaches.
3. Use technology
The effective and appropriate use of technology to produce results which support learning mathematics and its application in different contexts.
Unit Outlines – Year 11 Mathematics
UNITS 1 AND 2: Foundation Mathematics
Foundation Mathematics provides for the continuing mathematical development of students entering VCE needing mathematical skills to support their other VCE subjects including VET and VCAL programs and who do not intend to undertake Unit 3 and 4 studies in VCE Mathematics in the following year.
In Foundation Mathematics there is a strong emphasis on using mathematics in practical contexts relating to everyday life, personal work and study. Students are encouraged to use appropriate technology in all areas of their study. These units will be especially useful for students undertaking VET and VCAL programs.
At the end of Unit 1, students will be expected to have covered material equivalent to at least two of the areas of study. Unit 2 is intended to complement Unit 1 in development of the course material.
Areas of study
The areas of study for Units 1 and 2 of Foundation Mathematics are ‘Space and shape’, ‘Patterns in number’, ‘Handling data’ and ‘Measurement and design’.
Outcomes
For each unit students are required to demonstrate achievement of three outcomes.
On completion of each unit the student should be able to:
1. use confidently and competently mathematical skills and concepts from at least two areas of study of ‘Space and shape’, ‘Patterns in number’, ‘Handling data’ and ‘Measurement and design’;
2. apply and discuss basic mathematical procedures in contexts relating to familiar situations, personal work and study;
3. select and use technology to apply mathematics to a range of practical contexts.
Assessment tasks
Assessment tasks for Outcome 1 – a selection of:
assignments
summary or review notes
tests.
Assessment tasks for Outcome 2 are:
a report on an application or use of mathematics; for example, costing of an eighteenth birthday party, budgeting for a holiday, a survey of types of television programs, design of a car park
a presentation in oral, written, poster, or multimedia format (for example, presentation software), on mathematics that students have encountered in personal work or study; for example, mathematics encountered in the study of another VCE subject, or encountered in a parttime work or workexperience location, or in daily experience.
Assessment tasks for Outcome 3: although some specific tasks may be set to enable this outcome to be demonstrated, some or all of the assessment tasks for Outcomes 1 and 2 will incorporate the effective and appropriate use of technology and enable assessment of Outcome 3.
UNITS 1 AND 2: General Mathematics
RATIONALE
General Mathematics provides courses of study for diverse groups of students. Most students studying General Mathematics will intend to study Further Mathematics 3 & 4.
Areas of study



Arithmetic



Graphs of linear and nonlinear equations



Data analysis and simulation



Decision and business mathematics



Algebra



Geometry and trigonometry.


Each unit will cover four or more topics selected from at least three of the above Areas of Study.
Outcomes
For each unit students are required to demonstrate achievement of three outcomes. As a set these outcomes encompass all of the selected areas of study for each unit.
On completion of each unit the student should be able to:
1. define and explain key concepts, in relation to the topics from the selected areas of study, and apply a range of related mathematical routines and procedures;
2. apply mathematical processes in nonroutine contexts and analyse and discuss these applications in at least three of the areas of study;
3. use technology to produce results and carry out analysis in situations requiring problem solving, modelling or investigative techniques or approaches in at least three of the areas of study.
A CAS calculator is required for General Mathematics A and highly recommended for General Mathematics B.
Assessment tasks
For each unit demonstration of the achievement of Outcome 1 must be based on the student’s performance on a selection of the following tasks. Assessment tasks for this outcome are:
assignments
tests
summary or review notes.
For each unit demonstration of the achievement of Outcome 2 must be based on the student’s performance on a selection of the following tasks. Assessment tasks for this outcome are:
projects
short written responses
problemsolving tasks
modelling tasks.
For each unit demonstration of the achievement of Outcome 3 must be based on the student’s performance on a selection of tasks completed in demonstrating achievement of Outcomes 1 and 2 which incorporate the effective and appropriate use of technology in contexts related to topics in the selected material from the areas of study.
UNITS 1 AND 2: Mathematical Methods CAS
Areas of study
Mathematical Methods Units 1 and 2 are designed as a preparation for Mathematical Methods Units 3 and 4. The areas of study for each of Units 1 and 2 are ‘Functions and graphs’, ‘Algebra’, ‘Calculus’ and ‘Probability’.
Outcomes
For each unit students are required to demonstrate achievement of three outcomes.
On completion of this unit the student should be able to:
1. define and explain key concepts as specified in the content from the ‘Functions and graphs’, ‘Algebra’, ‘Calculus’ and ‘Probability’ areas of study, and to apply a range of related mathematical routines and procedures;
2. apply mathematical processes in nonroutine contexts and to analyse and discuss these applications of mathematics;
3. use technology to produce results and carry out analysis in situations requiring problemsolving, modelling or investigative techniques or approaches.
Assessment tasks
Assessment tasks for Outcome 1, a selection of:
assignments
tests; and/or
summary or review notes.
Assessment tasks for Outcome 2, a selection of:
projects
short written responses
problemsolving tasks; and/or
modelling tasks.
Some assessment tasks will be technology free (to reflect what happens in Exam 1 in Year 12).
Some or all of the assessment tasks for Outcomes 1 and 2 will incorporate the effective and appropriate use of technology to enable assessment of Outcome 3.
To study Mathematical Methods (CAS) Units 1 & 2 students must have a sound background in number, algebra, function, sets and probability and related aspects of working mathematically including the effective use of technology for numerical, graphical or symbolic computation.
A CASIO CLASSPAD CAS calculator is essential for this study and students without one will be severely disadvantaged with their preparation for Mathematical Methods CAS Units 3&4.
UNITS 1 AND 2: Specialist Mathematics (General A)
RATIONALE
Most students studying Specialist Mathematics Units 1 & 2 will also be studying Mathematical Methods 1 & 2 and intend to study Mathematical Methods 3 & 4 and in some cases Specialist Mathematics Units 3 & 4.
Areas of study/Topics


UNIT 1

UNIT 2


Number Systems
 
Algebra


Transformations
 
NonLinear Graphs


Algebra
 
Linear Programming


Trigonometry
 
Geometry


Sequences and series
 
Vectors


Variation
 
Kinematics & Dynamics



Specialist Mathematics 1 & 2 will focus on Functions and Graphs, Algebra, Geometry and Trigonometry in preparation for Units 3 & 4
Outcomes
For each unit students are required to demonstrate achievement of three outcomes. As a set these outcomes encompass all of the selected areas of study for each unit.
On completion of each unit the student should be able to:
1. define and explain key concepts, in relation to the topics from the selected areas of study, and apply a range of related mathematical routines and procedures;
2. apply mathematical processes in nonroutine contexts and analyse and discuss these applications in at least three of the areas of study;
3. use technology to produce results and carry out analysis in situations requiring problem solving, modelling or investigative techniques or approaches in at least three of the areas of study.
A CAS calculator is required for Specialist Mathematics and students will be disadvantaged without one.
Assessment tasks
For each unit demonstration of the achievement of Outcome 1 must be based on the student’s performance on a selection of the following tasks. Assessment tasks for this outcome are:
assignments
tests
For each unit demonstration of the achievement of Outcome 2 must be based on the student’s performance on a selection of the following tasks. Assessment tasks for this outcome are:
short written responses
problemsolving and application tasks
For each unit demonstration of the achievement of Outcome 3 must be based on the student’s performance on a selection of tasks completed in demonstrating achievement of Outcomes 1 and 2 which incorporate the effective and appropriate use of technology in contexts related to topics in the selected material from the areas of study.
Some assessment tasks will be technology free (to reflect what happens in Exam 1 in Year 12).
Unit Outlines – Year 12 Mathematics
UNITS 3 AND 4: Further Mathematics
YEAR 11
YEAR 12
RATIONALE
Further Mathematics Units 3 and 4 are intended to be widely accessible. They provide general preparation for employment or further study. The assumed knowledge for Further Mathematics Units 3 and 4 is drawn from General Mathematics Units 1 and 2; students who have done only Mathematical Methods Units 1 and 2 will also have had access to this assumed knowledge.
Areas of study
1. ‘Data analysis’ (Core material)
2. ‘Applications’ (Module material), which consists of five modules:
Module 1: Number patterns and applications
Module 2: Geometry and trigonometry
Module 3: Graphs and relations
Module 4: Business related mathematics
Module 5: Networks and decision mathematics.
SPECIALIST MATHS
UNITS 1 & 2
SPECIALIST MATHS
UNITS 3 & 4
MATHS METHODS
CAS
UNITS 1 & 2
MATHS METHODS
CAS
UNITS 3 & 4
GENERAL
MATHS
UNITS 1 & 2
FURTHER
MATHS
UNITS 3 & 4
UNIT 3: Further Mathematics
Outcomes
For Unit 3 these outcomes encompass ‘Data analysis’ and one module from the ‘Applications’ area of study.
On completion of this unit the student should be able to:
1. define and explain key terms and concepts as specified in the content from the areas of study, and use this knowledge to apply related mathematical procedures to solve routine application problems;
2. use mathematical concepts and skills developed in the ‘Data analysis’ area of study to analyse a practical and extended situation and interpret the outcomes of this analysis in relation to key features of that situation;
3. select and appropriately use technology to develop mathematical ideas, produce results and carry out analysis in situations requiring problemsolving, modelling or investigative techniques or approaches in the areas of study ‘Data analysis’ and the selected module from the ‘Applications’ areas of study.
School assessed coursework
Schoolassessed coursework for Unit 3 will contribute 20 per cent.
1. Application task
A data analysis application task with several components of increasing complexity. All outcomes will be covered by components of the task.
2. Analysis task
A short item of 24 hours duration over 12 days selected from, e.g. a short and focused investigation, challenging problem or modelling task.
Outcomes 1 and 2 should be covered across the two Analysis tasks. The use of technology (Outcome 3) should be incorporated in the assessment task selected to demonstrate achievement of at least one of Outcomes 1 and 2.
UNIT 4: Further Mathematics
Areas of study
Two modules are selected from the ‘Applications’ areas of study.
Outcomes
On completion of this unit the student should be able to:
1. define and explain key terms and concepts as specified in the content from the ‘Applications’ area of study, and use this knowledge to apply related mathematical procedures to solve routine application problems;
2. apply mathematical processes in contexts related to the ‘Applications’ area of study and analyse and discuss these applications of mathematics;
3. select and appropriately use technology in order to develop mathematical ideas, produce results and carry out analysis in situations requiring problemsolving, modelling or investigative techniques or approaches related to the selected modules for this unit from the ‘Applications’ areas of study.
School assessed coursework
Unit 4 will contribute 14 per cent to the final assessment.
Analysis task 1
This task relates to one of the selected ‘Application’ modules in Unit 4. It is a short item of 24 hours duration over 12 days selected from, for example:
an assignment where students have the opportunity to work on a broader range of problems; or
a short and focused investigation, challenging problem or modelling task; or
a set of application questions requiring extended response analysis in relation to a particular topic or topics; or
item response analysis for a collection of multiple choice questions.
Analysis task 2
This task relates to the second selected ‘Applications’ module in Unit 4. It is a short item of 24 hours duration over 12 days selected from, for example:
an assignment where students have the opportunity to work on a broader range of problems; or
a short and focused investigation, challenging problem or modelling task; or
a set of application questions requiring extended response analysis in relation to a particular topic or topics; or
item response analysis for a collection of multiplechoice questions.
This task is to be a different type to that selected for Analysis task 1.
Outcomes 1 and 2 should be covered across the two Analysis tasks.
The use of technology (Outcome 3) should be incorporated in the assessment task selected to demonstrate achievement of at least one of Outcomes 1 and 2.
Examination
Units 3 and 4 will also be assessed by two endofyear examinations, which will contribute 66 per cent to the final assessment.
Examination 1 (Facts, Skills and Applications Task)
Multiple choice questions covering the core and selected modules.
Examination 2 (Analysis Task)
Four sets of extended answer questions from Data Analysis and the three selected modules.
* Student access to a graphics or CAS calculator will be assumed by the VCAA exam setting panel.
UNITS 3 AND 4: Mathematical Methods CAS
Areas of study
Mathematical Methods Units 3 and 4 consists of the following areas of study: ‘Functions and Graphs’, ‘Calculus’, ‘Algebra’ and ‘Probability’ which must be covered in a progression from Unit 3 to Unit 4, with an appropriate selection of content for each of Unit 3 and Unit 4. Mathematical Methods 3 & 4 assumes knowledge of the Mathematical Methods 1 & 2 areas of study. Students must have their own Casio ClassPad CAS calculator. The exam panel write exam papers with the assumption that students have a CAS calculator thus students without will be severely disadvantaged during exam time.
Outcomes
On completion of each unit the student should be able to:
1. 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;
2. apply mathematical processes in nonroutine contexts, and to analyse and discuss these applications of mathematics;
3. select and appropriately use a Computer Algebra System and other technology to develop mathematical ideas, produce results and carry out analysis in situations requiring problemsolving, modelling or investigative techniques or approaches.
Assessment tasks
The student’s level of achievement for Units 3 and 4 will be determined by schoolassessed coursework and two endofyear examinations.
Contribution to final assessment
Schoolassessed coursework for Unit 3 will contribute 20 per cent and for Unit 4 will contribute 14 per cent to the final assessment. Units 3 and 4 will also be assessed by two endofyear examinations, which will contribute 66 per cent.
School Assessed Coursework – Unit 3
Outcomes 1, 2 and 3 will be assessed by:
A function and calculus application task with several components of increasing complexity, worth 40 marks
Two tests designed to cover material from each area of study in relation to Outcome 1 and corresponding aspects of Outcome 3, worth 20 marks. Total 60 marks
School Assessed Coursework – Unit 4
Outcomes 1, 2 and 3 will be assessed by:
Two analysis tasks, each worth 20 marks. Both tasks are a short item of 24 hours duration over 12 days selected from:
an assignment where students have the opportunity to work on a broader range of problems; or
a short and focused investigation, challenging problem or modelling task; or
a set of application questions requiring extended response analysis in relation to a particular topic or topics; or
item response analysis for a collection of multiplechoice questions.
The second task is to be related to the Probability area of study.
End of year examinations
Examination 1 (1 hour) Short answer and some extended questions. NO calculators or notes are allowed. A formula sheet will be provided.
Examination 2 (2 hours) Multiple choice and extended questions. One bound reference, one scientific and one CAS calculator may be taken into the exam.
UNITS 3 AND 4: Specialist Mathematics
Students who select this subject must also be studying, or have previously studied, Mathematics Methods (CAS) Units 3 and 4. It is essential that students enjoy learning mathematics and they must have demonstrated good basic skills in both Mathematics Methods Units 1 and 2, and Specialist Mathematics Units 1 and 2.
Areas of study
Coordinate Geometry, Circular (Trigonometric) Functions, Algebra, Calculus, Vectors in Two and Three Dimensions and Mechanics.
Students will require an approved CAS Calculator and will be disadvantaged without one.
Outcomes
On completion of this unit the student should be able to:
1. define and explain key terms and concepts in the areas studied and to apply a range of related mathematical routines and procedures;
2. apply mathematical processes with an emphasis on general cases, in nonroutine contexts, and to analyse and discuss these applications of mathematics;
3. select and appropriately use technology to develop mathematical ideas, produce results and carry out analysis in situations requiring problemsolving, modelling or investigative techniques or approaches.
Assessment tasks
School Assessed Coursework
Unit 3 and 4 will contribute 34 per cent to the final assessment.
(Total of 100 marks allocated across units 3 and 4).
Unit 3: Two analysis tasks, each worth 20 marks and taking 24 hours work over 12 days. Selected from:
an assignment
a short focused investigation or challenging problem
a set of application questions requiring extended response analysis
an item response analysis for a collection of multiple choice questions.
Unit 4: A problem solving or modelling application task with an emphasis on Outcomes 2 and 3, worth 40 marks.
Two tests designed to cover material from each area of study in relation to Outcome 1 and related to aspects of Outcome 3, worth 20 marks together.
End of Year Examinations
Examination 1 (1 hour)
Short answer and some extended questions. No calculators or notes are allowed. A formula sheet will be provided.
Examination 2 (2 hours)
Multiplechoice and extendedanswer questions. One bound reference, one scientific and one CAS calculator may be taken into the exam.
UNITS 3 AND 4: Algorithmics
Algorithmics is a new study for 2015. The following information has not been formally ratified by VCAA and is subject to minor changes. Melbourne University and Monash University will both give this subject some credit towards a first year computing degree.
Algorithmics is a highly structured and theoretically wellfounded framework for solving authentic, practical problems with computational methods. Algorithmics is fundamental to computer sciences and software engineering, and is essential for understanding the technical underpinnings of the information society. This subject examines how information about the world can be systematically represented and processed and how such a process can be sufficiently explicit and precise that it can be represented in a computer program. The focus is not on coding but on “algorithmic thinking”. Mathematical techniques are used to establish crucial properties of algorithms. Algorithms also covers deeper topics in computer sciences such as the possibility of artificial intelligence and prospects for new models of computation inspired by physical and biological systems.
Prerequisites
Students must have completed or are presently completing Mathematical Methods Units 1 and 2.
Rationale
Computing is central to our society and economy, and drives innovation in health, entertainment, science and business. Computation has fundamentally transformed the way we conduct science and engineering: simulation, virtual experiments, computational analysis and prediction have become indispensable parts of the contemporary scientific method. Computation enables us to make sense of data, whether it concerns the environment, the economy, health, entertainment, social and organizational structures or any other sphere of human experience or endeavor.
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