Preparing for the 2011 HSC MATHEMATICS EXAM. Acknowledgements Cath Whalan, Mathematics Head Teacher Hornsby Girls High School for her contributions to

Preparing for the 2011 HSC

MATHEMATICS

EXAM

Acknowledgements

Cath Whalan, Mathematics Head Teacher Hornsby Girls High School for her contributions to this PowerPoint.

NSW Curriculum and Learning Innovation Centre 2

Overview The Syllabus Draft Performance Bands Useful resources for mathematics Exam instructions and equipment Overview of the marking process Examiners’ comments How to study for mathematics Using the Standards Package


THE SYLLABUS

Curriculum and Learning Innovation Centre 4

The Syllabus

A complete copy of the syllabus is available from the Board of Studies website: www.boardofstudies.nsw.edu.au

Up to 20% of the HSC examination paper may be based on the Preliminary course so you need to revise the whole course


http://www.boardofstudies.nsw.edu.au/ (accessed 9/8/2011)


To access the HSC

mathematics syllabus click

here

To access the HSC

mathematics syllabus click

here

Curriculum and Learning Innovation Centre, Mathematics & Numeracy 7

Click on M for Mathematics

Click hereClick here


Access the syllabus and

other materials

here for 2011

Access the syllabus and

other materials

here for 2011

http://www.boardofstudies.nsw.edu.au/syllabus_hsc/mathematics-advanced.html (accessed 28/9/2011)

Syllabus Outline


PERFORMANCE BANDS


http://www.boardofstudies.nsw.edu.au/syllabus_hsc/mathematics-advanced.html accessed 27/9/2011


Access the Mathematics performance

band descriptions here

Access the Mathematics performance

band descriptions here

DRAFT PERFORMANCE BANDS MATHEMATICS The typical performance in this band:

90

80

70

60

50


Draft Performance Descriptors

Which band best describes your performance now?

Which band are you aiming to achieve in the HSC?

What do you need to do to achieve this?


Table of Standard Integrals

Make sure you are confident with using the table of Standard Integrals


RESOURCES


Useful resources for Mathematics Your mathematics teacher, any mathematics teacher,

your friends, older brothers or sisters.

School assessment task exams.

Your own class notes and summaries.

NSW Mathematics Stage 6 Syllabus Outline

HELP EACH OTHER – you learn the most when you can teach it to someone else


Useful resources for Mathematics

Board of Studies website www.boardofstudies.nsw.edu.au

2001 - 2009 HSC exam paper & Notes from the Marking Centrehttp://www.boardofstudies.nsw.edu.au/hsc_exams/papers.html

2010 HSC exam paper, Notes from the Marking Centre, Marking guidelines & sample answershttp://www.boardofstudies.nsw.edu.au/hsc_exams/hsc2010exams/#m



NSW BOS HSC Exam Workbook - Mathematics

This workbook is designed to help you prepare for the HSC Mathematics exam. The workbook consists of the 2010 exam and study resources, including:

marking guidelines marker feedback top-scoring student answers.

Available from the eBOS Shop Online for $15.40



HSC examination timetable

In 2011, the Mathematics exam is

on Monday 24 October

9.25 am to 12.30 pm


http://www.boardofstudies.nsw.edu.au/events/pdf_doc/hsc-timetable-2011.pdf

accessed 27/9/11


NSW HSC Online website www.hsc.csu.edu.au

This website provides study strategies, tutorials in more than 40 HSC subjects, references, links to useful websites and other important materials for HSC students and teachers.

It is hosted by Charles Sturt University and maintained by the NSW Department of Education and Communities.



http://hsc.csu.edu.au/ Accessed 2/9/2011

Click on this link.Click on this link.


http://hsc.csu.edu.au/maths/ Accessed 2/9/2011

Click on this link.Click on this link.




http://www.boardofstudies.nsw.edu.au/syllabus_hsc/glossary_keywords.html (accessed 28/9/2011)




http://studentsonline.bos.nsw.edu.au/go/tips/study_tips_and_materials/ (accessed 28/9/2011)


HSC Advice Line (Phone: 13 11 12). A telephone information service for students

preparing for the HSC examinations. Provides an after-hours and weekend service

leading up to and during the examination period. The cost is a local call. Check dates and operating times closer to the

end of term 3.



MANSW - Mathematical Association of NSW (Ask you teacher if they order copies through your school)

Red book of Past HSC (Mathematics 2/3 Unit common), 2001— 2009 (Mathematics) exam papers with worked solutions

T (02) 9569 9420

E [email protected]


EXAM INSTRUCTIONS AND EQUIPMENT


HSC Mathematics exam instructions

TOTAL MARKS = 120 10 Questions each worth 12 marks. Reading Time - 5 minutes (work out your plan of attack!) Working time = 3 hours (i.e. 18 minutes per question!) Write using black or blue pen. Board-approved calculators may be used. A table of standard integrals is provided at the back of

the paper.


HSC Mathematics exam equipment

You may only take the equipment listed in the next slide into the examination room. No other equipment is allowed.

Any equipment brought into the examination room may be subject to inspection before the examination commences.

It is the student’s responsibility to supply equipment that is in good working order. This includes calculators.


(taken from HSC Examination Timetable 2011, NSW BOS, page 3)

HSC Mathematics exam equipment Students are expected to provide pens (black is

recommended), pencils and erasers, and a ruler marked in millimetres and centimetres, for ALL EXAMINATIONS.

Students may use a pencil sharpener and/or highlighter pen.

For the Mathematics exam: A Board approved calculator (see slide 31 for details) A pair of compasses A protractor Set squares (optional) a curve drawing template

(see slide 32 for details)



HSC Mathematics exam calculator

In the Mathematics HSC examination students are permitted to use Board-approved calculators.


A Board-approved calculator is one that appears on the Board’s 2011 HSC list of approved scientific calculators. This list can be found at: www.boardofstudies.nsw.edu.au/hsc_exam s/calculators.html

HSC Mathematics exam curve drawing template

Students may take into the HSC mathematics examination templates for drawing curves and geometrical figures, measuring, constructing etc.

Such templates may contain equations of simple curves (eg y=x², y=sin x, y=1/x) that can be drawn using the template, and decimal approximations (eg for pi, e), but no other printed formulae (eg sine rule, cosine rule, quadratic formulae, area and volume formulae).

Acceptable templates include Mathomat, Mathomat Senior and Mathaid (Non Formulae).



HSC MARKING PROCESS


An overview of the marking process for the HSC Mathematics exam

Each of the TEN questions is marked by a team of ten experienced maths teachers - two Senior Markers and eight markers.



MARKING GUIDELINES, developed by the examination committee, are given for all questions – these guidelines indicate the process for which marks will be allocated.

PART MARKS for each question are awarded according to the guidelines.



HALF MARKS are never used –full marks may be awarded before the correct numerical answer is reached

TRANSCRIPTION ERRORS (which do not make the question easier) are not penalised.

(incorrect substitution into a formula is NOT

a transcription error)


EXAMINER’S COMMENTS


Examiners’ comments HSC Mathematics

SHOW substitutions and working out clearly—marks are allocated for the PROCESS and the answer, not just the answer.

Watch the number of MARKS allocated to each part of the question — don’t write half a page of explanation for 1 mark!



Take CARE—make sure you recall the FORMULA correctly — marks lost from careless errors are as ‘expensive’ as marks lost by not doing the more difficult questions.

You have to WRITE the CORRECT FORMULA and SUBSTITUTE correctly into it in order to be awarded a mark.



When PROVING or SHOWING a given result, check that your answer is the SAME as the result given in the paper!

CORRECT answers from INCORRECT working are not awarded marks - if you have made a mistake, fix the error in EVERY line of working - don’t fudge!



LINK parts of a question—If (a) has parts (i) and (ii), often using the result in (i) makes answering (ii) easier.

If a question has multiple parts, check that you have answered the question in the CORRECT part.



Draw large, clear DIAGRAMS in pencil—about 1/3 a page is a good size and mark on it all given information.

Use your diagram to PLAN your response (if you think it, write it on your diagram)

If drawing axes, use a RULER, start the horizontal axis on a line and mark off points EVENLY.



READ the question carefully and UNDERLINE key points.

Check at the end of each part that you have ANSWERED THE QUESTION THAT WAS ASKED.



Write working out CLEARLY—some students can’t read their own writing, so markers have some difficulty awarding marks. (i.e. ‘r’ & ‘n’ & ‘x’ often look similar, as do 5 & 8 and 4 & 9)

Read the question carefully — watch for KEYWORDS

e.g. 3 significant figures.



Use NOTATION and TERMINOLOGY correctly.

Some syllabus outcomes: H9 - communicates using mathematical language,

notation, diagrams and graphs HE7 - evaluates mathematical solutions to

problems and communicates them in an appropriate form

E9 - communicates abstract ideas and

relationships using appropriate notation and

logical argument



Keep an eye on the TIME—don’t spend so long on the early questions you don’t get to Q10!

Remember Q2 is not as difficult as Q10 —don’t look for trouble!


When using a CALCULATOR, don’t round off too early and watch for radians/degrees.

Check that your answer is REASONABLE.



If you make a mistake, just put a LINE THROUGH it—NEVER use liquid paper.

A note on multiple attempts of a question...

YOU GET TO ATTEMPT A QUESTION ONCE!!!!!!!!!!!!!!



CORRECTINCORRECT

More than one attempt on a question worth 2 marks

Award 2 Award 0

Subtract 1 mark for multiple attempt..........Award 1


CORRECTINCORRECT


Award 2 Award 0

Ignore incorrect as it is crossed out......Award 2


CORRECTINCORRECT


Award 2 Award 0

Subtract 1 mark for crossing out correct response ........Award 1


When showing maximum/minimum/concavity, NO FUDGING is allowed.


X

2

2/

dy d y

dx dx

You must indicate these

You must SHOW substitutions, not just write: >, < etc.


HOW TO STUDY


How to study for Mathematics

Practise doing questions from textbooks, study guides, other schools’ Trial HSC’s

Learn your formulas

Do past HSC papers – the more the better!

Correct your work – ask for help

Just Do It !!!


2002 HSC Mathematics examquestion practice

Do the solutions for Question 1 – we will then have a look at the marking guidelines and see how you went!


2002 HSC Mathematics Question 1


Using the 2002 Standards Package

Exemplar solutions are given in the 2002 Standards Package

Use them to mark your solutions for Question 1


Exemplar sample Question 1(a), (b) and (c).


Using the Marking Guidelines

Marking Guidelines are given on the BOS website for all past HSCs

These guidelines are used by

HSC markers


2002 HSC Mathematics Marking Guidelines




Exemplar sample Question 1(d), (e)




Exemplar sample for Question 1(f)


Notes from the Marking Centre

The markers comments for the past HSCs are available on the BOS website are

Let’s look at the comments for 2002 Question 1


2002 HSC Notes from the Marking Centre - Mathematics



The following are student work samples for students at the band cut offs for parts of Q1 on the 2002 HSC.

What do you notice?


2002 HSC Mathematics Band 5 / 6 Cut-off Question 1 (a), (b) & (c)


2002 HSC Mathematics Band 5 / 6 Cut-off Question 1 (d) & (e)


2002 HSC Mathematics Band 5 / 6 Cut-off Question 1 (f)














2002 HSC Mathematics Exam

Do the solutions for Question 6 – we will then have a look at the marking guidelines and see how you went!






Using the Marking Guidelines

Marking Guidelines are given on the BOS website for all past HSCs

These guidelines are used by

HSC markers









Exemplar solutions are given in the 2002 Standard Package

Use them to mark your solutions for Question 6

To see samples of the band cut-offs, check the standards package at your school


Exemplar Sample Question 6(a)


Exemplar Sample Question 6(b)(i)


Exemplar Sample Question 6(b)(ii)


Exemplar Sample Question 6(b)(ii) & (iii)


Exemplar Sample Question 6(c)


2002 Notes from the Marking Centre

The markers comments for the past HSCs are available on the BOS website

Let’s look at the comments for Question 6 2002


2002 HSC Notes from the Marking Centre - Mathematics


2011 HSC Mathematics Exam

ENJOY!! May You Get the Marks You Deserve!!


Documents

Preparing for the 2011 HSC MATHEMATICS EXAM. Acknowledgements Cath Whalan, Mathematics Head Teacher Hornsby Girls High School for her contributions to