Mathematics Standard Level for the IB Diploma Exam Preparation Guide PDF
Preview Mathematics Standard Level for the IB Diploma Exam Preparation Guide
Mathematics tS Felalels xem ms)\is) for the IB Diploma CONTENTS Introduction |. Exponents and logarithms 1.1 Sulsingsxponerti equations 1.2 Solving disguised quadratic equations 13 Laysof gwiduns 12 Solving equations involving logis 1.5 Proms invatving exponcmial functions 2 Polynomials 21 Using the quai erm 2.2 Hsing the dseriminant “28: (he completed sqpate Form y uf) 49845 rg quacratis Hutinrs trom heir paps 2.5 Applsing ths binomial sheorsm 5. Functions. graphs and equations: 4.1 Darin ane m ge 42 Invsrss and enmpoite aeons 3.5 Uramratiors a mis 34 Ration “ines 45 Using the GDC we slve equatives 46 Solving ps ute equations 4 Sequences and series 4.1 Arilhtetic sequences ah sess 4.2 Goomtrc sequences and sess 45 Appeations 5 Trigonometry 34 5.1 Tanstovmarione of wigenouicti gaps 6 5.2 sang dentioes oo find ovcot values of rigancmecs Husctions 3 5.3 Solving tigomometie equations # 5.4 Using ientes solve gonometic tions 3° SS Georey of bales wal vieles 0 5.6 The ambiguevs case ofthe sae ale al © Vectors: 6 Proviug geurtetscal ppenties wring vectors 152. Fanation of liu le teseeson of 2405 “s fa Angles herwecn Taos 50 fa Anplyiny veators to mation s © Dilferentiation 54 7.1 Ditersointios eon: Hs pincipes a 5.2 the prone, quariont and can tes 58 “$ sangonts urd noms » 4 Suuionary pins 60 4.5 Opuinisctien with eunsoxinse 6 Fi Poinss of infexion ca 5 Inrpeercg graphs a R Kinemaces 66 © Integration 68 6.1 Inwgrotng expresions ” 2 Binticp creas 1 8.3 Volumes of ravattion n 4 Kinetics £5 Inegretion by substitution Con 10 2 13 Descriptive statistics 8.1 Miata yuuiles 9.9 Mean, sondern ee fequcney sigs 9.4 Cunmtarse eqnaney 94 Box and whisker ecu aa unapargg Jal es 95 Chvrelation and egession Probability 10.1 Caooering potable hy eons se oes 1112 Ve Agra and ast meton 113 Tre diagrams 14 Discree vadom vaebles 10.5 The baci sisition 1146. The normal ara insese normal sstribaons. 19,7 sin the earl norms) foun whe se 6 sunk Examination support Common ears ow to check yon anes ‘Things you need to know how to do on your calculator Caso ales Tess valeulaor Worked solutions Answers te practice questions ” 100 im 104 104 os 107 107 un 115 ah INTRODUCTION ABOUT THIS BOOK Ifyou are asing this boul, yuu'e probably yelling guile ose fa ‘asa brigll eyed sue keeu Wo esplow aves oa poaspveves i guano Imsthenialea Laowledge. bus awe you sean @ sao} haw to gece best pessble grace: This book is designe tu revise the elie coe uteri Uz sou geet Lis and a provi examples of Ure anost connrmon types of ex sueations fur you wu practise lone wih sore hints ips evar exace leckaique wud conan pills ‘The mos impostot ideas axl formule ace enipaa'sed inthe “Whar fou need ro knoe sections ats sale oF eath chapter When 4 Touma 9 ar of Formalas is given Zoe Ferma aol, thers wil hs bacco est fg forme as nr asompanis: a 9 on hey de ae appa he Fovnle boost and yob ny ae ose dora east Kae sa dive het, For Mathemtos Standard | evel, ot 2 orien paper = is wont aug or txetinn grade © tsone anda ht hours ong fps S mr ues of ease ime) faa tol 129 uch sab = conteis 9 oF 19 short questions and 3.4 Henge qusoms, he difference belmeen the bv papers is Ut valeuton for Paper 2 ot allowed far Paper 1, but ane regu (iit tis tsk quests wich ce eine ede wien acute eer 4 secur avked witha {Bf Question ete only sensite do wih eaeutnora AM ofher qe stions shonid etary Fs ww acca ariken itne he n Popers 1 and 2 the majority of the materia inthe Standued Level couese wil be assessed IMPORTANT EXAM TIPS © Gru .as many marks as yon ean, © Ayer cannot do ancarly par of question, vty down a sense amswer and uve that n later ers on fas part yu cole net do was a “show tha” ts, use Use given real. 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SOLVING EXPONENTIAL EQUATIONS WORKED EXAMPLE 1.1 Sener 2 xflo93- 098) lope, ation dX 5° =, giving yor answer in the fut 2 anes he ae ‘arte 2 oe Practice questions 1.1 bee Og ee eee ee oe tagh e Se 2, Solve the eyation 3°" <P" ving your asewer inthe form M22 where panda are ‘ratiunol numbers. logy 8. Solve the eyition 342! — 4 yiving sou sneer inthe form 4%” where p andere ‘rotionil numbers. ee dag 1 Exponents andlogarithms ig | |.2 SOLVING DISGUISED QUADRATIC EQUATIONS WORKED EXAMPLE 1.2 Tina thee solution cf the equation 3") Ts =, Be es "Doty ne ESUESIE A I eb coe | ran ata nr beak err eens 4 Wepaoer we tio exam tect zpthenietsie eget 3M Practice questions 1.2 Bo 4 soveneanes se rrr $B © Sole the strnancous equations e° =5 ade « —5, 1 Exponents and logarithms
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