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STUDY GUIDE – MATHEMATICS NOVEMBER EXAMINATIONS 2015

STUDY GUIDE – MATHEMATICS 2015SOME EXAM REGULATIONS TO KEEP IN MIND 1. Arrive at the venue at least 15 minutes before the start of the exam. 2. Do not take any notes, books or bags into the exam venue. 3. Only enter the exam venue when you are asked to do so by the invigilator. 4. Enter the exam venue in silence and sit at the desk which has been allocated to you. 5. Make sure that you bring all the necessary stationery requirements with you. You will need to bring spare pens as well. These items need to be kept in a clear plastic packet only. 6. Cellular phones are to be switched off and handed in to the invigilator. 7. You may not communicate or attempt to communicate with any other candidate. This includes all forms of visual, auditory and written means. 8. You may not vacate the exam venue until the full time prescribed for the question paper has expired. Ensure that you go to the toilet BEFORE the exam. 9. You will not be allowed to go to the toilet, unaccompanied, during the exam. OWLAG |Study Guide 2015 2

STUDY GUIDE – MATHEMATICS 2015 STUDY & EXAM TIPS:1. Be prepared: Use your exam timetable to work out a study timetable. Your study timetable must:  Be time efficient: Ensure that youhave enough time to study for each exam. You need to spend a minimum of 10 preparing hours for every hour you are going to write in an examination. Prioritise and organize your time to ensure that you spend study time effectively.  Be specific – your study timetable should be specific about what you are going to study in each study session. Use this study guide to focus on specific things you want to know and or master e.g. Session 1: Equations – Fraction equations.  Be realistic – it’s not possible to study your entire Mathematics book in one hour on the morningof the Mathematics exam.  Allow for regular breaks – don’t spend hours staring at a book hoping that you will magically absorb the information. Study for 30 minutes at a time, and then have an immediate reflection time. Ask yourself: what did I want to learn in the past 30 min? Have I achieved mu goal?. You then HAVE to take a 5min break to allow the brain to process the information. In this space walk to sip water or something; get up and move around. Don’t start watching TV because your five minutebreak will turn into a three hour break!2. Study actively and know your learning style – make notes, use mind maps, summarise information in your own words, write old exam papers, practise test problems. Never learn by rote. It is boring and a waste of time!3. Know your strengths and weaknesses: it’s always easier to study sections we are good at. Ensure that you give enough time to sections that are difficult for you.4. Understand your work – you will never remember what you do not understand. If you don’t understanda section of work, ask your teacher or any Maths teacher for help. Make an appointment with your teacher or a Maths teacher so that the work can be explained one more time. OWLAG |Study Guide 2015 3

STUDY GUIDE – MATHEMATICS 20155. Make a study area: Choosea quiet place with few distractions – you should not have your cell phone, computer or a TV on. If youneed music to study, play the musicsoftly.6. Make yourself comfortable enough so you can concentrate but not so comfortable that you fall asleep.7. Always study in the same place and ensureyouhave good light.8. Have your study timetable and your study guide iin front of youand tick off each section that you complete. It will help to motivate you to continue.9. Look after your physical well- being – get enough sleep(7-8 hours a night), eat healthy small meals regularly, exercise every day. Even though c o -curricular is not c ompulsory during exams, you are encouraged to reserve time to exercise as this will help you retain information better.10. Look after your emotional and social well- being – don’t fight with friends. Leave the conflict until after the exams!11. Look after your spiritual well-being.12. Writing the exam:  Arrive on time for the exam and know your exam venue before you start writing your exams!  Have all the necessary equipment so that youdo not have to borrow pens, pencils, calculators etc.  Keepan eye on the clock while youare writing to ensure that you finish your paper.  Get enough sleep the night before;eat a healthy breakfast on the day of the exam.13. Trust yourself – once the exam has been written, don’t worryabout it anymore! OWLAG |Study Guide 2015 4

STUDY GUIDE – MATHEMATICS 2015 KNOW YOUR EXAMYou exam will assess your knowledge, reasoning, communication of thoughts and your capacity to think and reason.Four levels of difficulty will be used to discriminate your level of oration:COGNITIVE LEVELS EXPLANATION OF SKILLS TO BE DEMONSTRATED KNOWLEDGE (20%)  Algorithms MYP Level 1 -2 (25%)  Estimation; appropriate rounding of numbers  TheoremsROUTINE PROCEDURES (30%)  Straight recall MYP Level 3 -4 (25%)  Identifying from data sheet  Simple mathematical factsCOMPLEX PROCEDURES (35%)  Know and use of appropriate vocabulary MYP Level 5 -6 (25%)  Knowledge and use of formulae All of the above will be based on known knowledge.  Problems are not necessarily unfamiliar and can involve the integration of different LOs  Perform well-known procedures  Simple applications and calculations which must have many steps and may require interpretation from given information  Identifying and manipulating of formulae All of the above will be based on known procedures.  Problems are mainly unfamiliar and learners are expected to solve by integrating different LOs  Problems do not have a direct route to the solution but involve: using higher level calculation skills and reasoning to solve problems mathematical reasoning processes  These problems are not necessarily based on real world contexts and may be abstract requiring fairly complex procedures in finding the solutions.SOLVING PROBLEMS (15%)  Solving non-routine, unseen problems by demonstrating MYP Level 7 -8 (25%) higher level understanding and cognitive processes  Interpreting and extrapolating from solutions obtained by solving problems based in unfamiliar contexts  Using higher level cognitive skills and reasoning to solve non- routine problems  Being able to break down a problem into its constituent parts – identifying what is required to be solved and then using appropriate methods in solving the problem  Non-routine problems be based on real contexts OWLAG |Study Guide 2015 5

STUDY GUIDE – MATHEMATICS 2015WHAT WILL BE IN YOUR EXAM? GRADE 8SUBJECT /LEARNING AREA: Mathematics GRADE: 8NAME & DATE OF EXAM: LENGTH OF EXAM ASSESSOR: (HRS/ MINS) : 1. Mr D. Tshabalala1. Maths Paper 1: 10 November 08H00 - 9H30 1 hour 30 min 2. Mr D. Tshabalala2. Maths Paper 2: 10 November 10H30 -1 2H30 1 hour 30 minAREAS TO BE COVERED FOR EXAM: RELEVANT TEXTBOOK CHAP / NOTES:PAPER 1: 1. Platinum Maths Page 15 1. Numbers and Classification 2. Platinum Maths Page 41 2. Numbers, Operations and Relationships 3. Platinum Maths Page 163 and 173 4. Platinum Maths Page 49 and 55 (HCF, LCM, ladder method, squaring, 5. Platinum Maths Page 27 cubing, square and cube rooting). 6. Platinum Maths Page 41 3. Fractions (Rational numbers) 7. Platinum Maths Page 63, 79, 85,243, 4. Patterns 5. Integers 247 6. Exponents 7. AlgebraPAPER 2: 1. Ratio Notes 1. Ratio and Rate 2. Platinum Maths Page 141 2. Geometry : parallel lines and angles, triangles, Pythagoras 3. Quadrilaterals notes 3. Quadrilaterals and properties 4. Platinum Maths Page124 4. Two dimensional shapes: Area and Perimeter. 5. Platinum Maths Page 285 5. Three dimensional shapes : Volume and Surface AreaSPECIAL REQUIREMENTS FOR EXAMS:  non-programmable scientific calculator  Rule, eraser  Blue or black pen, pencil, coloured pencils  Stapler GRADE 9 OWLAG |Study Guide 2015 6

STUDY GUIDE – MATHEMATICS 2015 Subject/Learning Area: Mathematics Grade 9 (MYP4) Paper Date Length AssessorIEB Maths 06 November 2015 2 Hours IEB Paper 1 09 November 2015 2 hours Ms Moipolai Paper 2 09 November2015 2 hours Ms Mampane Exam InformationAreas to be covered Relevant Study Material/PracticePaper 1:  Make use of set of notes provided  Whole Numbers  Integers to you in class.  Common Fractions  Learner Drive/SL2018/MYP4 Decimal Fractions MATHS/Revision Material All Units Exponents  Learner Drive/SL2018/MYP4 Numeric and Geometric Patterns Functions and relationships MATHS/Exams Algebraic Expressions Algebraic EquationsPaper 2:  Make use of set of notes provided  Geometry 2D shapes to you in class.  Geometry of lines  Theorem of Pythagorus  Learner Drive/SL2018/MYP4  Area and Perimeter MATHS/Revision Material All Units  Surface Area and Volume of 3D  Learner Drive/SL2018/MYP4 Shapes MATHS/Exams  Data Handling  Probability Requirements for Exams black or blue pen pencil eraser non-programmable calculator OWLAG |Study Guide 2015 7

STUDY GUIDE – MATHEMATICS 2015Mathematics Study Guide GRADE 10 November 2015 Subject/Learning Area: Mathematics Grade 10 (MYP5) Paper Date Length AssessorPaper 1 03 November 2 hours 30 minutes Ms McIntyrePaper 2 13 November 2 hours 30 minutes Ms McIntyre Exam InformationAreas to be covered Relevant textbookPaper 1: Platinum Mathematics (p6 – p31)  Algebraic Expressions Platinum Mathematics (p32 – p47)  Exponents Platinum Mathematics (p48 – p55)  Number Patterns Equations and Inequalities Platinum Mathematics (p56 – 83) Finance and Growth Platinum Mathematics (p206 – p223) Functions Platinum Mathematics (p116 – p161)Paper 2: Platinum Mathematics (p84 – p109)  Trigonometry Platinum Mathematics (p186 – p205)  Analytical Geometry Platinum Mathematics (p162 – p181)  Euclidean Geometry Platinum Mathematics (p288 – p297)  Probability Platinum Mathematics (p224 – p245)  Statistics Requirements for Exams black or blue pen pencil eraser non-programmable calculator OWLAG |Study Guide 2015 8

STUDY GUIDE – MATHEMATICS 2015 Grade 11SUBJECT /LEARNING AREA: Mathematics GRADE: 11 ASSESSOR: 1. Ms K MampaneNAME & DATE OF EXAM: LENGTH OF EXAM (HRS/ MINS) : 2. Ms A. Moipolai1. Maths Paper 1: 05 November 08H00 - 11H00 3 hours2. Maths Paper 2: 11 November 10H30 - 13H30 3 hoursAREAS TO BE COVERED FOR EXAM: RELEVANT TEXTBOOK CHAP / NOTES:PAPER 1: 1. The Platinum Textbook 8. Algebra and Algebraic equations 2. The Question paper and answer book (The blue  Exponents and Exponential equations  Surds book)  Quadratic equations: 3. The past papers and worksheets from the - Completion of the square - Quadratic formula learners drive - Simultaneous equations L:\SL2016\...2015 Mathematics Department 9. Finance and growth 4. Past papers in the learners drive o Simple and compound interest L:\SL2016\...2015 Mathematics o Timelines Department\Past Paper 10 and 11 o Nominal and effective interest rate 5. Suggested links: 10. Functions and graphs http://everythingmaths.co.za/maths/grade-11  Equations  Shift  Plotting  Calculations 11. Probability o Notation and rules o Venn diagrams o Complementary events o Independent eventsPAPER 2: 6. Grade 11 Book work 7. Euclidean and Analytical geometry 8. Trigonometry and trigonometric functions 9. StatisticsSPECIAL REQUIREMENTS FOR EXAMS:All the stationery including non-programmable calculator. OWLAG |Study Guide 2015 9

STUDY GUIDE – MATHEMATICS 2015SUBJECT /LEARNING AREA: Mathematical Literacy GRADE: 11 LENGTH OF EXAMNAME & DATE OF EXAM: (HRS/ MINS) : ASSESSOR: 2 hours 1. Mr D. Tshabalala1. Maths Paper 1: 05 November 13H00 - 15H00 2 hours 2. Mr D. Tshabalala2. Maths Paper 2: 11 November 13H00 -15H00AREAS TO BE COVERED FOR EXAM: RELEVANT TEXTBOOK CHAP / NOTES:PAPER 1: 1. All notes and worksheets 2. Grade 12 Exam Papers (Paper one) 1. Numbers and Calculations with numbers 3. Revision of all assessments  Rounding  Ratio, rate and proportion 4. Practise from workbook the following pages: 2. Patterns, Relationships and Representation  54 – 56  Direct, indirect /inverse proportion  34 – 35 3. Finance  73  96 – 98  Financial documents  58 – 59  Tariff systems  50 - 53  Income and expenditure  79  Cost and selling price  139 – 141  Break even analysis  Interest 5. Revision exercise pack.  Bank loans and investments  Exchange rates 4. Measurement  Length  Weight (BMI)  Volume/capacity  Perimeter, circumference, area and volume 5. Maps, Plans and other Representations of the Physical World  World map (bar scale and strip map) 6. Data Handling (BMI chart) 7. ProbabilitySPECIAL REQUIREMENTS FOR EXAMS:  non-programmable scientific calculator  Rule, eraser  Blue or black pen, pencil, coloured pencils  Stapler OWLAG |Study Guide 2015 10

STUDY GUIDE – MATHEMATICS 2015 Subject/Learning Area: Advanced Programme Mathematics Grade 11 Paper Date Length AssessorPaper 1 02 November 2 hours PJ ChristiansPaper 2 04 November 1 hour PJ Christians Exam Information Areas to be covered Relevant textbookPaper 1: Advanced Programme for Mathematics  Calculus (p35 – p78)  Differentiation o Trigonometry Advanced Programme for Mathematics o Radian measure (p91 – p114) o Functions o Limits  Integration Algebra Advanced Programme for Mathematics  Equations with fractions (p1 – p16)  Rational inequalities  Solutions of equations with complex roots  Absolute valuesPaper 2: Advanced Programme for Mathematics  Statistics (p179 – p203) Conditional probability Counting methods Probability distributions Requirements for Exams black or blue pen pencil eraser non-programmable calculator (fx-991ES Plus C) OWLAG |Study Guide 2015 11

STUDY GUIDE – MATHEMATICS 2015 OWLAG |Study Guide 2015 12