Wadalba Community School 2016 HSC Mathematics General 2 Student Information Booklet Course Overview Assessment Schedules Syllabus outcomes Overview Performance Bands Sample formula sheet Important Websites
Wadalba Community School
2016
HSC Mathematics General 2
Student Information Booklet
Course Overview
Assessment Schedules
Syllabus outcomes Overview
Performance Bands
Sample formula sheet
Important Websites
The Preliminary Mathematics General course, the HSC Mathematics General 2 course and the HSC Mathematics General 1 course are designed to promote the development of knowledge, skills and understanding in areas of mathematics that have direct application to the broad range of human activity, including a range of post-school pathways requiring a variety of mathematical and statistical techniques.
Students will learn to use a range of techniques and tools, including relevant technologies, in order to develop solutions to a wide variety of problems relating to their present and future needs and aspirations.
The HSC Mathematics General 2 course provides a strong foundation for a broad range of vocational pathways, as well as for a range of university courses.
Course Structure The following overview illustrates the structure of the Preliminary Mathematics General/HSC
Mathematics General 2 pathway.
Preliminary Mathematics General Course* HSC Mathematics General 2 Course
Strand: Financial Mathematics
FM1 Earning and managing money FM2 Investing money FM3 Taxation
Strand: Financial Mathematics
FM4 Credit and borrowing FM5 Annuities and loan repayments
Strand: Data and Statistics
DS1 Statistics and society, data collection and sampling
DS2 Displaying and interpreting single data sets
DS3 Summary statistics
Strand: Data and Statistics
DS4 Interpreting sets of data DS5 The normal distribution DS6 Sampling and populations
Strand: Measurement
MM1 Units of measurement and applications
MM2 Applications of perimeter, area and volume
MM3 Similarity of two-dimensional figures, right-angled triangles
Strand: Measurement
MM4 Further applications of area and volume
MM5 Applications of trigonometry MM6 Spherical geometry
Strand: Probability
PB1 Relative frequency and probability
Strand: Probability
PB2 Multistage events and applications of probability
Strand: Algebra and Modelling
AM1 Algebraic manipulation AM2 Interpreting linear relationships
Strand: Algebra and Modelling
AM3 Further algebraic skills and techniques AM4 Modelling linear relationships AM5 Modelling non-linear relationships
Focus Study: Mathematics and Communication
FSCo1 Mobile phone plans FSCo2 Digital download and file storage
Focus Study: Mathematics and Driving
FSDr1 Costs of purchase and insurance FSDr2 Running costs and depreciation FSDr3 Safety
Focus Study: Mathematics and Health
FSHe1 Body measurements FSHe2 Medication FSHe3 Life expectancy
Focus Study: Mathematics and Resources
FSRe1 Water availability and usage FSRe2 Dams, land and catchment areas FSRe3 Energy and sustainability
* The Preliminary Mathematics General course is undertaken by all
students intending to study either the HSC Mathematics General
2 course or the HSC Mathematics General 1 course.
Objectives and Outcomes
Objectives Preliminary Mathematics
General Outcomes
HSC
Mathematics General 2
Outcomes
HSC
Mathematics General 1
Outcomes Students will
develop the ability
to: A student: A student: A student:
apply reasoning, and
the use of appropriate
language, in the
evaluation and
construction of
arguments and
the interpretation and
use of models based
on mathematical and statistical concepts
MGP-1
uses mathematics and statistics
to compare alternative
solutions to contextual
problems
MG2H-1
uses mathematics and statistics
to evaluate and construct
arguments in a range of
familiar and unfamiliar contexts
MG1H-1
uses mathematics and
statistics to evaluate and
construct arguments in a range
of familiar contexts
MGP-2
represents information
in symbolic, graphical and tabular form
MG2H-2
analyses representations
of data in order to make
inferences, predictions
and conclusions
MG1H-2
analyses representations
of data in order to make predictions
use concepts and
apply techniques
to the solution of
problems in algebra
and modelling,
measurement,
financial mathematics,
data and statistics, and probability
MGP-3
represents the relationships
between changing quantities in algebraic and graphical form
MG2H-3
makes predictions about
situations based on
mathematical models,
including those involving
cubic, hyperbolic or exponential functions
MG1H-3
makes predictions about
everyday situations based on simple mathematical models
MGP-4
performs calculations
in relation to two-dimensional and three-dimensional figures
MG2H-4
analyses two-dimensional and
three-dimensional models to
solve practical problems,
including those involving
spheres and non-right-angled triangles
MG1H-4
analyses simple
two-dimensional and
three-dimensional models to
solve practical problems
MGP-5
demonstrates awareness
of issues in practical
measurement, including
accuracy, and the choice of relevant units
MG2H-5
interprets the results
of measurements and
calculations and makes
judgements about
reasonableness, including the
degree of accuracy
of measurements and
calculations and the conversion to appropriate units
MG1H-5
interprets the results
of measurements and
calculations and makes
judgements about
reasonableness, including the
conversion to appropriate units
MGP-6
models financial situations
relevant to the student’s
current life using appropriate
tools
MG2H-6
makes informed decisions
about financial situations,
including annuities and loan
repayments
MG1H-6
makes informed decisions
about financial situations
likely to be encountered post-
school
MGP-7
determines an appropriate
form of organisation
and representation of collected data
MG2H-7
answers questions requiring
statistical processes, including
the use of the normal
distribution, and the
correlation of bivariate data
MG1H-7
develops and carries out
simple statistical processes to answer questions posed
MGP-8
performs simple calculations
in relation to the likelihood of familiar events
MG2H-8
solves problems involving
counting techniques,
multistage events and expectation
MG1H-8
solves problems involving
uncertainty using basic counting techniques
Objectives Preliminary Mathematics
General Outcomes
HSC
Mathematics General 2
Outcomes
HSC
Mathematics General 1
Outcomes Students will
develop the ability
to: A student: A student: A student:
use mathematical
skills and techniques,
aided by appropriate
technology, to
organise information
and interpret practical situations
MGP-9
uses appropriate technology to
organise information from a
limited range of practical and
everyday contexts
MG2H-9 chooses and uses appropriate technology to locate and organise information from a range of contexts
MG1H-9
chooses and uses appropriate
technology to organise
information from a range of
practical and everyday contexts
interpret and
communicate
mathematics in
a variety of written
and verbal forms,
including diagrams and statistical graphs
MGP-10
justifies a response to a given
problem using appropriate
mathematical terminology
MG2H-10
uses mathematical argument
and reasoning to evaluate
conclusions drawn from other
sources, communicating a
position clearly to others, and justifies a response
MG1H-10
uses mathematical argument
and reasoning to evaluate
conclusions drawn from other
sources, communicating a position clearly to others
Values and attitudes
Objectives Preliminary Mathematics
General Outcomes
HSC
Mathematics General 2
Outcomes
HSC
Mathematics General 1
Outcomes Students will
develop: A student: A student: A student:
appreciation
of the relevance of mathematics
MGP-VA
develops a positive attitude to
mathematics and appreciates
its capacity to provide enjoyment and recreation
MG2H-VA
appreciates the importance of
mathematics in everyday life
and its usefulness in contributing to society
MG1H-VA
appreciates the importance of
mathematics in everyday life
and its usefulness in contributing to society
HSC Course Performance Descriptors Band 6
selects appropriate mathematical concepts, skills and techniques consistently and uses them accurately
uses a wide variety of problem-solving strategies to solve mathematical problems across a wide range of familiar and
unfamiliar contexts
applies sound reasoning to evaluate and efficiently construct mathematical arguments in familiar and unfamiliar
contexts and to accurately interpret and analyse mathematical models
uses symbols, numbers, words, diagrams and graphs to clearly and effectively communicate mathematical ideas and
reasoning
analyses representations of data to make predictions, inferences and conclusions
makes and justifies informed decisions about financial situations
carries out statistical processes to analyse, interpret and compare data
solves problems involving uncertainty using the basic principles of probability
Band 5
uses mathematical concepts, skills and techniques accurately
uses a variety of problem-solving strategies to solve mathematical problems across a range of familiar and unfamiliar
contexts
applies sound reasoning to evaluate and construct mathematical arguments in familiar and unfamiliar contexts and to
interpret and analyse mathematical models
uses symbols, numbers, words, diagrams and graphs to communicate mathematical ideas and reasoning
interprets representations of data to make predictions, inferences and conclusions
makes informed decisions about financial situations
carries out statistical processes to interpret and compare data
solves familiar problems involving uncertainty using the basic principles of probability
Band 4
uses mathematical concepts, skills and techniques accurately in familiar contexts and in some unfamiliar contexts
uses some problem-solving strategies to solve mathematical problems in familiar contexts
applies reasoning to construct mathematical arguments in familiar contexts and to use mathematical models
uses symbols, numbers, words, diagrams and graphs to communicate mathematical ideas
uses information given in symbolic, tabular or graphical form to make predictions, inferences and conclusions
performs calculations in financial mathematics such as substituting into appropriate formulae
calculates summary statistics such as the mean and standard deviation
performs probability calculations to solve familiar problems
Band 3
uses mathematical concepts, skills and techniques in familiar contexts
presents steps in sequence in the construction of simple mathematical arguments
uses numbers, words, diagrams and graphs to communicate mathematical results
uses information given in diagrammatic, tabular or graphical form to make some predictions, inferences and
conclusions
draws simple diagrams when given clear instructions to assist in solving familiar mathematical problems
performs basic calculations in financial mathematics
calculates simple summary statistics such as the mode and range
performs simple probability calculations to solve familiar problems
Band 2
uses basic mathematical concepts, skills and techniques to solve simple familiar problems with limited accuracy
uses numbers, words, simple diagrams and graphs to communicate mathematical results
uses information given in diagrammatic, tabular or graphical form to assist in solving some simple mathematical
problems
performs some basic calculations in financial mathematics with limited accuracy
recognises language of probability
Band 1
Mathematics General 2 HSC 2016
ASSESSMENT COMPONENTS
SYLLABUS WEIGHTING
TASK 1 TASK 2 TASK 3 TASK 4
Date of Task Term 4 week 9 2015
Term 1
Weeks 9&10 Term 2 Week 8
Term 3 Weeks 4 & 5
Type of Task Open Book Test Half Yearly Exam Contextual Assignment
Trial HSC Exam
Reasoning and Communication
50% 10% 10% 15% 15%
Concepts, Skills and Techniques
50% 10% 20% 5% 15%
Total 100% 20% 30% 20% 30%
Outcomes Assessed MG2H –, 3, 9, 10, MGH2H – 1, 6, 8, 10
(up to 30% may include preliminary outcomes)
MG2H – 1, 2, 3, 4, 5, 7, 9, 10
MG2H – 1, 2, 3, 4, 5, 6, 7, 8,
9, 10, MG2H – VA (up to 30% may include preliminary outcomes)
Content Summary Am3,4,5
FSDr2,3 AM3,4,5
FM4,5 PB2
FSRe1,2,3 All content
Wadalba Community School Mathematics Department Yearly Planner 2016
Mathematics General 2 HSC Course
Term 4 2015(11 weeks) COMMENCEMENT OF HSC COURSE
Week Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10/11
Unit Focus Study
Mathematics and Driving
Focus Study Mathematics and
Driving AM3, AM4, AM5 FSRe3
Unit Concept
Safety Running Costs Algebra and Modelling
Further Algebraic skills and techniques, modelling linear and non-linear relationships
Energy and Sustainability
Formal Task
Task 1.1
(AM3, 4, 5)
Term 1 2016 (11 weeks)
Week Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10
Unit FM4, FM5 PB2 FSRe1, FSRe2 Half
yearly Half
Yearly
Unit Concept
Financial Mathematics Credit and Borrowing, Annuities and loan repayments
Multistage events and applications of
probability
Water availability and usage, Dams, land and catchment
areas
Formal Task
Term 2 2016 (9 weeks)
Week Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10
Unit DS4, DS5, DS6 MM4, MM5, MM6
Unit Concept
Interpreting sets of data, the normal distribution, sampling and populations
Further applications of area and volume, applications of trigonometry, spherical geometry
Formal Task
Task 3 Contextual
(FSRe1,2,3)
Term 3 2016 (10 weeks)
Week Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9/10
Unit FSHe1 Trial Revision Trial HSC FSHe2, FSHe3 Revision
Unit Concept
Body Measurements
Medication and life expectancy
Formal Task
Task 4 Task 4
Useful Websites
www.boardofstudies.nsw.edu.au Syllabus documents
Past Exams
Performance Descriptors
Glossery
www.khanacademy.org Useful resourse
www.mathletics.com.au Useful resource
www.det.nsw.edu.au Tale for resources
Hsc.csu.edu.au/maths
www.webmaths.com