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Preparing for the HSC

Preparing for the HSC. General Mathematics Exam. Acknowledgements. Cath Whalan, Mathematics Head Teacher Hornsby Girls High School Robert Yen, previously Mathematics teacher Hurlstone Agricultural High School for their contributions to this PowerPoint.

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Preparing for the HSC

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  1. Preparing for the HSC General Mathematics Exam

  2. Acknowledgements Cath Whalan, Mathematics Head Teacher Hornsby Girls High School Robert Yen, previously Mathematics teacher Hurlstone Agricultural High School for their contributions to this PowerPoint. Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  3. Content (Click on the link to take you to this section of the PowerPoint) Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  4. The Syllabus Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  5. The Syllabus • A complete copy of the syllabus is available from the Board of Studies website: www.boardofstudies.nsw.edu.au • Up to 30% of the paper may be based on the Preliminary course so you need to revise the whole course Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  6. To access the HSC General mathematics syllabus click here http://www.boardofstudies.nsw.edu.au/(accessed 9/8/2011) Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  7. Click on M for Mathematics Click here Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  8. http://www.boardofstudies.nsw.edu.au/syllabus_hsc/mathematics-general.html accessed 12/8/2011 Access the syllabus and other materials here for 2011 Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  9. Syllabus Outline Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  10. Performance bands Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  11. http://www.boardofstudies.nsw.edu.au/syllabus_hsc/mathematics-general.html accessed 12/8/2011 Access the General Mathematics performance bands here Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  12. 90 80 70 60 50 DRAFT PERFORMANCE BANDSGeneral Mathematics Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  13. DRAFT PERFORMANCE BANDS General Mathematics The typical performance in this band: Does this band describe your current performance now? Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  14. DRAFT PERFORMANCE BANDS General Mathematics The typical performance in this band: Does this band describe your current performance now? Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  15. DRAFT PERFORMANCE BANDS General Mathematics The typical performance in this band: Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  16. DRAFT PERFORMANCE BANDS General Mathematics The typical performance in this band: Does this band describe your current performance now? Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  17. DRAFT PERFORMANCE BANDS General Mathematics The typical performance in this band: Well done if it does because this is where you want to be! Or does this band describe your current performance now? Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  18. 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? Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  19. Exam instructions and equipment Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  20. HSC General Exam Instructions • TOTAL MARKS = 100 * Section I: 22 questions each worth 1 mark. * Section II: questions 23 – 28 worth 13 marks each. • Reading Time - 5 minutes (work out your plan of attack!) • Working time = 2 1/2 hours (allow 30 minutes for Section I and 2 hours for Section II – 20 minutes for each question) • Write using blue or black pen • Calculators may be used • A formula sheet is provided at the back of the paper. Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  21. HSC General 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. Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  22. HSC General 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 General Mathematics exam: • A calculator (see slide 23 for details) • A pair of compasses • A protractor • Set squares • (optional) a curve drawing template (see slide 24 for details) Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  23. HSC General Exam Calculator • In the General Mathematics HSC examination students are permitted to use calculators, including graphics calculators. • Note: • Calculators must be handheld and silent in operation. • Permitted devices must be primarily calculators. For example, devices that include a calculator function among other ‘apps’ or which incorporate a QWERTY keyboard are NOT permitted. • Calculators that also operate as communication devices are NOT permitted. • All memories and storage facilities must be cleared before the calculator is brought into the examination room (see www.boardofstudies.nsw.edu.au/hsc_exam s/calculators.html ). • Memory cards or other peripheral devices must not be brought into the examination room. (taken from HSC Examination Timetable 2011, NSW BOS, page 2) Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  24. HSC General 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). (taken from HSC Examination Timetable 2011, NSW BOS, page 2) Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  25. http://www.boardofstudies.nsw.edu.au/syllabus_hsc/mathematics-general.html accessed 12/8/2011 Access the exam formulae sheet here. Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  26. Exam formulae sheet All the information on this two page sheet will be given to you in the exam Just tear off the formulae sheet from the back of the paper to use during your exam Practice using this sheet when you are studying Here are two pages of formulae that you don't need to remember What you do need to know is when and how to use the formulae Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  27. HSC marking process Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  28. An Overview of the Marking Process for the HSC General Mathematics Exam • 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. Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  29. An Overview of the Marking Process for the HSC General Mathematics Exam • 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) Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  30. Examiner’s comments Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  31. Examiners’ Comments HSC General 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! Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  32. Examiners’ Comments HSC General Mathematics • 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. Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  33. Examiners’ Comments HSC Mathematics • 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! Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  34. Examiners’ Comments HSC Mathematics • 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. Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  35. Examiners’ Comments HSC Mathematics • 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. Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  36. Examiners’ Comments HSC Mathematics • 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) Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  37. Examiners’ Comments HSC Mathematics • Read the question carefully — watch for KEYWORDS and HIGHLIGHT. e.g. 3 significant figures. • Check at the end of each part that you have ANSWERED THE QUESTION THAT WAS ASKED. Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  38. Examiners’ Comments HSC Mathematics Use NOTATION and TERMINOLOGY correctly. From the syllabus: • OutcomeH11A student uses mathematical argument and reasoning to evaluate conclusions drawn from other sources, communicating his/her position clearly to others (BOS NSW, General Mathematics Stage 6 syllabus, 1999) Don’t contradict yourself Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  39. Examiners’ Comments HSC General Mathematics • If using a graphics calculator, write the list of substitutions so you can gain marks towards the answer even if it is incorrect. Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  40. Examiners’ Comments HSC General Mathematics • Make sure you stay inside the margins on each page of your writing booklet, as markers receive the pages vertically as electronic Adobe files. Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  41. Examiners’ Comments HSC General Mathematics • You may have to justify or explain your answer. Be familiar with the appropriate terminology and read answers after writing them to ensure they make sense. • Keep an eye on the TIME—don’t spend so long on the early questions you don’t get to the last few questions. Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  42. Examiners’ Comments HSC Mathematics • Use the FORMULA SHEET provided. There is no excuse for an incorrect formula! • When using a CALCULATOR, don’t round off too early and watch for radians/degrees. Markers can see correct rounding, even if the answer is incorrect. • Check that your answer is REASONABLE. Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  43. Examiners’ Comments HSC Mathematics • If you make a mistake, just put a LINETHROUGH it—NEVER use liquid paper. • A note on multiple attempts of a question... • YOU GET TO ATTEMPT A QUESTION ONCE!!!!!!!!!!!!!! Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  44. More than one attempt on a question worth 2 marks INCORRECT CORRECT Award 2 Award 0 Subtract 1 mark for multiple attempt..........Award 1 Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  45. More than one attempt on a question worth 2 marks INCORRECT CORRECT Award 2 Award 0 Ignore incorrect as it is crossed out......Award 2 Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  46. More than one attempt on a question worth 2 marks INCORRECT CORRECT Award 2 Award 0 Subtract 1 mark for crossing out correct response ........Award 1 Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  47. Resources Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  48. Useful Resources for General Mathematics • Your mathematics teacher, any mathematics teacher, your friends, older brothers or sisters • School assessment task exams • Your own class notes and summaries • NSW General Mathematics Stage 6 Syllabus Outline • HELP EACH OTHER – you learn the most when you can teach it to someone else Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  49. Useful Resources for General 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/#g Curriculum and Learning Innovation Centre, Mathematics & Numeracy

  50. Useful Resources for General Mathematics NSW BOS HSC Exam Workbook - General Mathematics This workbook is designed to help students prepare for the HSC General 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 Curriculum and Learning Innovation Centre, Mathematics & Numeracy

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