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