TECHNICAL MATHEMATICS

Transcription

1 Ntiol Curriculu Stteet NCS Curriculu Assesset Polic Stteet GRADES 0

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3 CURRICULUM AND ASSESSMENT POLICY STATEMENT CAPS GRADES 0 CAPS

4 DISCLAIMER I view striget tie requireets ecoutered b Deprtet Bsic Eductio to effect ecessr editoril chges d lout djustets to Curriculu d Assesset Polic Stteets d suppleetr polic docuets, possible errors hve occurred i sid docuets plced o ficil deprtetl website If editoril, lout, cotet, teriolog or forule icosistecies re detected, user is kidl requested to brig this to ttetio Deprtet Bsic Eductio E-il: cpscoets@dbegovz or f Deprtet Bsic Eductio Strube Street Privte Bg X895 Pretori 000 South Afric Tel: F: Plei Street Privte Bg X90 Cpe Tow 8000 South Afric Tel: F: Website: 04 Deprtet Bsic Eductio ISBN: Desig d Lout b: Prited b: Goveret Pritig Works CURRICULUM AND ASSESSMENT POLICY STATEMENT CAPS

5 FOREWORD BY THE MINISTER Our tiol curriculu is culitio our efforts over period sevetee ers to trsfor curriculu bequed to us b prid Fro strt deocrc we hve built our curriculu o vlues tht ispired our Costitutio Act The Preble to Costitutio sttes tht is Costitutio re to: hel divisios pst d estblish societ bsed o deocrtic vlues, socil justice d fudetl hu rights; iprove qulit life ll citizes d free potetil ech perso; l foudtios for deocrtic d ope societ i which goveret is bsed o will people d ever citize is equll protected b lw; d build uited d deocrtic South Afric ble to tke its rightful plce s sovereig stte i fil tios Eductio d curriculu hve iportt role to pl i relig se is I 997 we itroduced outcoes-bsed eductio to overcoe curriculr divisios pst, but eperiece ipleettio propted review i 000 This led to first curriculu revisio: Revised Ntiol Curriculu Stteet Grdes R-9 d Ntiol Curriculu Stteet Grdes 0-00 Ogoig ipleettio chlleges resulted i or review i 009 d we revised Revised Ntiol Curriculu Stteet 00 to produce this docuet Fro 0 two 00 curricul, for Grdes R-9 d Grdes 0- respectivel, re cobied i gle docuet d will sipl be kow s Ntiol Curriculu Stteet Grdes R- The Ntiol Curriculu Stteet for Grdes R- builds o previous curriculu but lso updtes it d is to provide clerer specifictio wht is to be tught d lert o ter-b-ter bsis The Ntiol Curriculu Stteet Grdes R- ccordigl replces Subject Stteets, Lerig Progre Guidelies d Subject Assesset Guidelies with b Curriculu d Assesset Polic Stteets CAPS for ll pproved subjects listed i this docuet; Ntiol polic pertiig to progre d prootio requireets Ntiol Curriculu Stteet Grdes R ; d c Ntiol Protocol for Assesset Grdes R MRS ANGIE MOTSHEKGA, MP MINISTER OF BASIC EDUCATION CAPS

6 CONTENTS SECTION : INTRODUCTION TO THE CURRICULUM AND ASSESSMENT POLICY STATEMENTS FOR GRADE 0-6 Bckgroud 6 Overview 6 Geerl Ais South Afric Curriculu 7 4 Tie Alloctio 8 4 Foudtio Phse 8 4 Iteredite Phse 8 4 Seior Phse 9 44 Grdes 0 9 SECTION : FET INTRODUCTION 0 Wht is Techicl Mtics? 0 Specific Ais Techicl Mtics 0 Specific Skills 4 Focus Cotet Ares 5 Weightig Cotet Ares SECTION : FET CONTENT SPECIFICATION AND CLARIFICATION Specifictio Cotet to show Progressio Overview topics 4 Cotet Clrifictio with techig guidelies 9 Alloctio Techig Tie 0 Sequecig d Pcig Topics Topic lloctio per ter d clrifictio 4 SECTION 4: FET ASSESSMENT GUIDELINES 46 4 Itroductio 46 4 Iforl or Dil Assesset 47 4 Forl Assesset 47 4 CURRICULUM AND ASSESSMENT POLICY STATEMENT CAPS

7 44 Progre Assesset Recordig d Reportig Modertio Assesset 5 47 Geerl 5 47 Ntiol polic pertiig to progre d prootio requireets Ntiol Curriculu Stteet Grdes R ; d 5 47 The polic docuet, Ntiol Protocol for Assesset Grdes R 5 CAPS 5

8 SECTION INTRODUCTION TO THE CURRICULUM AND ASSESSMENT POLICY STATEMENTS FOR TECHNICAL MATHEMATICS GRADE 0 - Bckgroud The Ntiol Curriculu Stteet Grdes R NCS stipultes polic o curriculu d ssesset i schoolig sector To iprove its ipleettio, Ntiol Curriculu Stteet ws eded, with edets coig ito effect i Jur 0 A gle coprehesive Ntiol Curriculu d Assesset Polic Stteet ws developed for ech subject to replce old Subject Stteets, Lerig Progre Guidelies d Subject Assesset Guidelies i Grdes R The eded Ntiol Curriculu d Assesset Polic Stteets Jur 0 replce Ntiol Curriculu Stteets Grdes R 9 00 d Ntiol Curriculu Stteets Grdes Overview The Ntiol Curriculu Stteet Grdes R Jur 0 represets polic stteet for lerig d techig i South Afric schools d coprises followig: Ntiol Curriculu d Assesset Polic stteets for ech pproved school subject s listed i polic docuet, d Ntiol polic pertiig to progre d prootio requireets Ntiol Curriculu Stteet Grdes R, which replces followig polic docuets: i ii Ntiol Seior Certificte: A qulifictio t Level 4 o Ntiol Qulifictios Frework NQF; d A ddedu to polic docuet, Ntiol Seior Certificte: A qulifictio t Level 4 o Ntiol Qulifictios Frework NQF, for lerers with specil eeds, published i Goveret Gzette, No9466 Deceber 006 b c d The Ntiol Curriculu Stteet Grdes R Jur 0 should be red i cojuctio with Ntiol Protocol for Assesset Grde R, which replces polic docuet, A ddedu to polic docuet, Ntiol Seior Certificte: A qulifictio t Level 4 o Ntiol Qulifictios Frework NQF, for Ntiol Protocol for Assesset Grde R, published i Goveret Gzette, No 9467 Deceber 006 The Subject Stteets, Lerig Progre Guidelies d Subject Assesset Guidelies for Grdes R 9 d Grdes 0 hve bee repeled d replced b Ntiol Curriculu d Assesset Polic Stteets for Grdes R Jur 0 The sectios o Curriculu d Assesset Polic s discussed i Chpters, d 4 this docuet costitute ors d stdrds Ntiol Curriculu Stteet Grdes R Therefore, i ters sectio 6A South Afric Schools Act, 996 Act No , this fors bsis o which Miister Bsic Eductio will deterie iiu outcoes d stdrds, s well s processes d procedures for ssesset lerer chieveet, tht will ppl i public d idepedet schools 6 CURRICULUM AND ASSESSMENT POLICY STATEMENT CAPS

9 Geerl Ais South Afric Curriculu b The Ntiol Curriculu Stteet Grdes R spells out wht is regrded s kowledge, skills d vlues worth lerig It will esure tht childre cquire d ppl kowledge d skills i ws tht re eigful to ir ow lives I this regrd, curriculu prootes ide groudig kowledge i locl cotets, while beig sesitive to globl ipertives The Ntiol Curriculu Stteet Grdes R serves purposes : equippig lerers, irrespective ir socio-ecooic bckgroud, rce, geder, phsicl bilit or itellectul bilit, with kowledge, skills d vlues ecessr for self-fulfilet, d eigful prticiptio i societ s citizes free coutr; providig ccess to higher eductio; fcilittig trsitio lerers fro eductio istitutios to workplce; d providig eploers with sufficiet prile lerer s copetecies c The Ntiol Curriculu Stteet Grdes R is bsed o followig priciples: socil trsfortio: esurig tht eductiol iblces pst re redressed, d tht equl eductiol opportuities re provided for ll sectios our popultio; ctive d criticl lerig: ecourgig ctive d criticl pproch to lerig, rr th rote d ucriticl lerig give truths; high kowledge d high skills: specifig iiu stdrds kowledge d skills to be chieved t ech grde settig high, chievble stdrds i ll subjects; progressio: showig progressio fro siple to cople i cotet d cotet ech grde; hu rights, iclusivit, eviroetl d socil justice: ifug priciples d prctices socil d eviroetl justice d hu rights s defied i Costitutio Republic South Afric The Ntiol Curriculu Stteet Grdes 0 Geerl is sesitive to issues diversit such s povert, iequlit, rce, geder, lguge, ge, disbilit d or fctors vlue idigeous kowledge sstes: ckowledgig rich histor d heritge this coutr s iportt cotributors to urturig vlues cotied i Costitutio; d credibilit, qulit d efficiec: providig eductio tht is coprble i qulit, bredth d depth to those or coutries d The Ntiol Curriculu Stteet Grdes R is to produce lerers tht re ble to: idetif d solve probles d ke decisios ug criticl d cretive thikig; work effectivel s idividuls d with ors s ebers te; orgise d ge selves d ir ctivities resposibl d efficietl; collect, lse, orgise d evlute ifortio criticll; couicte effectivel ug visul, sbolic d/or lguge skills i vrious odes; use sciece d techolog effectivel d criticll showig resposibilit towrds eviroet d helth ors; d deostrte uderstdig world s set relted sstes b recogig tht proble solvig cotets do ot eist i isoltio CAPS 7

10 e Iclusivit should be cetrl prt orgistio, plig d techig t ech school This c ol occur if ll techers hve cpcit to recogise d ddress brriers to lerig, d to pl for diversit The ke to gig iclusivit is to esure tht brriers re idetified d ddressed b ll relevt support structures withi school couit, icludig techers, district-bsed support tes, istitutiol-level support tes, prets d Specil Schools s resource cetres To ddress brriers i clssroo, techers should eplo vrious curriculu differetitio strtegies such s those cotied i Deprtet Bsic Eductio s Guidelies for Iclusive Techig d Lerig 00 4 Tie Alloctio 4 Foudtio Phse The istructiol tie for ech subject i Foudtio Phse is idicted i tble below: Subject i Lguges FAL d HL ii Mtics iii Life Skills Begiig Kowledge Cretive Arts Phsicl Eductio Persol d Socil Well-beig Tie lloctio per week hours b c d Totl istructiol tie for Grdes R, d is hours d for Grde is 5 hours To Lguges 0 hours re llocted i Grdes R d hours i Grde A iu 8 hours d iiu 7 hours re llocted to Hoe Lguge d iiu hours d iu hours to First Additiol Lguge i Grdes R I Grde iu 8 hours d iiu 7 hours re llocted to Hoe Lguge d iiu hours d iu 4 hours to First Additiol Lguge To Life Skills Begiig Kowledge hour is llocted i Grdes R d hours re llocted for Grde s idicted b hours i brckets 4 Iteredite Phse The tble below shows subjects d istructiol ties llocted to ech i Iteredite Phse Subject i Hoe Lguge ii First Additiol Lguge iii Mtics iv Sciece d Techolog v Socil Scieces vi Life Skills vii Cretive Arts viii Phsicl Eductio i Religious Studies Tie lloctio per week hours CURRICULUM AND ASSESSMENT POLICY STATEMENT CAPS

11 4 Seior Phse The istructiol tie for ech subject i Seior Phse is llocted s follows: Subject i Hoe Lguge ii First Additiol Lguge iii Mtics iv Nturl Scieces v Socil Scieces vi Techolog vii Ecooic Mgeet Scieces viii Life Oriettio i Arts d Culture Tie lloctio per week hours Grdes 0 The istructiol tie for ech subject i Grdes 0 is llocted s follows: Subject i Hoe Lguge ii First Additiol Lguge iii Mtics iv Techicl Mtics v Mticl Literc vi Life Oriettio vii Three Electives Tie lloctio per week hours h The llocted tie per week be utilised ol for iiu uber required NCS subjects s specified bove, d ot be used for dditiol subjects dded to list iiu subjects Should lerer wish to fer dditiol subjects, dditiol tie hs to be llocted i order to fer se subjects CAPS 9

12 Sectio Curriculu d Assesset Polic Stteet CAPS FET Itroductio I Sectio, Furr Eductio d Triig FET Phse Techicl Mtics CAPS provides techers with defiitio Techicl Mtics, specific is, specific skills focus cotet res, d weightig cotet res Wht is Techicl Mtics? Mtics is uiversl sciece lguge tht kes use sbols d ottios for describig uericl, geoetric d grphicl reltioships It is hu ctivit tht ivolves observig, represetig d ivestigtig ptters d qulittive reltioships i phsicl d socil pheoe d betwee ticl objects selves It helps to develop etl processes tht ehce logicl d criticl thikig, ccurc d proble solvig tht will cotribute i decisio-kig Mticl proble solvig ebles us to uderstd world phsicl, socil d ecooic roud us, d, ost ll, teches us to thik cretivel The i Techicl Mtics is to ppl Sciece Mtics to Techicl field where ephsis is o APPLICATION dot o bstrct ides Specific Ais Techicl Mtics To ppl ticl priciples To develop fluec i coputtio skills with usge clcultors Mticl odellig is iportt focl poit curriculu Rel life techicl probles should be icorported ito ll sectios wheever pproprite Eples used should be relistic d ot cotrived Cotetul probles should iclude issues reltig to helth, socil, ecooic, culturl, scietific, politicl d eviroetl issues wheever possible 4 To provide opportuit to develop i lerers bilit to be ethodicl, to geerlize d to be skilful users Sciece Mtics 5 To be ble to uderstd d work with uber sste 6 To proote ccessibilit Mticl cotet to ll lerers This could be chieved b cterig for lerers with differet eeds, eg TECHNICAL NEEDS 7 To develop proble-solvig d cogitive skills Techig should ot be liited to how but should rr feture whe d wh proble tpes 8 To provide lerers t Techicl schools ltertive d vlue ddig substitute to Mticl Literc 9 To support d susti techicl subjects t Techicl schools 0 Techicl Mtics c ol be tke b lerers ferig Techicl subject echicl, civil d electricl egieerig To provide voctiol route liged with epecttios lbour i order to esure direct ccess to lerership/ ppreticeship 0 CURRICULUM AND ASSESSMENT POLICY STATEMENT CAPS

13 To crete opportuit for lerers to furr ir studies t FET Colleges t etrce level N-4 d thus cretig ltertive route to ccess or HEIs Specific Skills To develop essetil ticl skills lerer should: develop correct use lguge Mtics; use ticl process skills to idetif d solve probles use sptil skills d properties shpes d objects to idetif, pose d solve probles cretivel d criticll; prticipte s resposible citizes i techicl eviroet locll, s well s i tiol d globl couities; d couicte ppropritel b ug descriptios i words, grphs, sbols, tbles d digrs 4 Focus Cotet Ares Techicl Mtics i FET Phse covers te i cotet res Ech cotet re cotributes towrds cquisitio specific skills The tble below shows i topics i FET Phse Nuber sste Fuctios d grphs Fice, growth d dec 4 Algebr 5 Differetil Clculus 6 Euclide Geoetr 7 Mesurtio 8 Circles, gles d gulr oveet 9 Alticl Geoetr 0 Trigooetr Mi topics for Techicl Mtics: 5 Weightig Cotet Ares The weightig Techicl Mtics cotet res serves two prir purposes: firstl weightig gives guidce o out tie eeded to ddress dequtel cotet withi ech cotet re; secodl weightig gives guidce o spred cotet i eitio especill ed er sutive ssesset CAPS

14 Weightig Cotet Ares Descriptio Grde 0 Grde Grde PAPER Algebr Epressios, equtios d iequlities icludig ture roots i Grdes & 60 ± 90 ± 50 ± Fuctios & Grphs ecludig trig fuctios 5 ± 45 ± 5 ± Fice, growth d dec 5 ± 5 ± 5 ± Differetil Clculus d Itegrtio 50 ± TOTAL PAPER : Descriptio Grde 0 Grde Grde Alticl Geoetr 5 ± 5 ± 5 ± Trigooetr icludig trig fuctios 40 ± 50 ± 50 ± Euclide Geoetr 0 ± 40 ± 40 ± Mesurtio, circles, gles d gulr oveet 5 ± 5 ± 5 ± TOTAL Techicl Mtics i FET The subject Techicl Mtics i Furr Eductio d Triig Phse fors lik betwee Seior Phse d Higher Eductio bd All lerers psg through this phse cquire fuctioig kowledge Techicl Mtics tht epowers to ke sese ir Techicl field stud d ir plce i societ It esures ccess to eteded stud techicl ticl scieces d vriet techicl creer pths I FET Phse, lerers should be eposed to techicl ticl eperieces tht give opportuities to develop ir ticl resoig d cretive skills i preprtio for ore pplied tics i HEIs or i-job triig CURRICULUM AND ASSESSMENT POLICY STATEMENT CAPS

15 Sectio Curriculu d Assesset Polic Stteet CAPS FET Cotet Specifictio d Clrifictio Itroductio Sectio provides techers with: Specifictio cotet to show progressio Clrifictio cotet with techig guidelies Alloctio tie Specifictio Cotet to show Progressio The specifictio cotet shows progressio i ters cocepts d skills fro Grde 0 to for ech cotet re However, i certi topics cocepts d skills re siilr i two or three successive grdes The clrifictio cotet gives guidelies o how progressio should be ddressed i se cses The specifictio cotet should refore be red i cojuctio with clrifictio cotet CAPS

16 Overview topics Overview topics NUMBER SYSTEM NUMBER SYSTEM Grde Grde 0 0 Grde Grde Grde Grde Idetif rtiol ubers ubers d covert d covert Tke ote tht ubers eist eist or or th th those those o There re There ubers re ubers or th or those th studied those teritig or recurrig decils ito ito o rel uber rel uber lie, lie, so-clled so-clled o-rel o-rel ubers It i erlier studied grdes i clled erlier igir grdes ubers clled igir, It is for where,, b Z d b 0 ubers is possible It It is to possible squre to certi squre o-rel certi orel obti ubers egtive d rel obti ubers egtive s rel swers ubers Add, subtrct, divide, ultipl d ubers d d cople ubers ubers d cople ubers b b b Uderstd tht tht siple siple surds surds re ot re ot s swers Add, subtrct, divide, ultipl d siplif siplif rtiol rtiol igir igir ubers ubers d cople d ubers cople ubers Bir ubers ubers should should be be kow kow Solve equtios ivolvig cople Solve equtios ubers ivolvig cople ubers FUNCTIONS FUNCTIONS Work with reltioships betwee vribles Eted Grde 0 work o reltioships Itroduce ore forl defiitio i ters uericl, grphicl, verbl d Work with reltioships betwee vribles i Eted betwee Grde vribles 0 work i o ters reltioships uericl, Itroduce fuctio ore d forl eted defiitio Grde work o sbolic represettios fuctios ters uericl, grphicl, verbl d d betwee vribles i ters uericl, fuctio d eted Grde work o covert fleibl sbolic betwee represettios se represettios fuctios d grphicl, grphicl, verbl verbl d d sbolic sbolic represettios represettios reltioships reltioships betwee betwee vribles vribles i ters i ters tbles, covert grphs, fleibl words d betwee forule se fuctios fuctios d d covert covert fleibl fleibl betwee betwee se se uericl, uericl, grphicl, grphicl, verbl verbl d d sbolic sbolic represettios tbles, grphs, words d forule represettios fuctios d covert Iclude represettios lier d tbles, soe grphs, qudrtic words poloil d represettios tbles, grphs, words d represettios fuctios d covert fleibl betwee se represettios fuctios, forule epoetil fuctios d soe forule Iclude lier d qudrtic poloil fuctios, fleibl betwee se represettios tbles, grphs, words d forule rtiol fuctios epoetil fuctios dsoe rtiol fuctios tbles, grphs, words d forule Iclude lier, qudrtic d soe cubic poloil fuctios, epoetil d soe rtiol fuctios Iclude lier, qudrtic d soe cubic poloil fuctios, epoetil d soe Geerte s grphs s ecessr, iitill b rtiol Revise fuctios work studied i erlier grdes Geerte es s poit-b-poit grphs s plottig, ecessr, to ke iitill d test Revise work studied i erlier grdes b cojectures es poit-b-poit d hece geerlise plottig, to ke effects d preter test cojectures which results d hece i horizotl geerlise shift d tht effects which results preter i horizotl which stretch results i d/or reflectio horizotl bout shift -is d tht which results i horizotl stretch d/or reflectio bout - is Iclude lier d qudrtic poloil fuctios, epoetil fuctios d soe rtiol fuctios Iclude lier d soe qudrtic poloil fuctios, epoetil fuctios d soe rtiol fuctios Geerte s grphs s ecessr, iitill b es poit-b-poit plottig, to geerlise ke d test cojectures effect d preter hece which results geerlise i verticl effect shift d preter tht which which results i results verticl i verticl stretch shift d/or tht reflectio which results bout i -is verticl stretch d/or reflectio bout -is Geerte s grphs s ecessr, iitill b es poit-b-poit plottig, to ke d test cojectures d hece 4 CURRICULUM AND ASSESSMENT POLICY STATEMENT CAPS Proble solvig d grph work ivolvig prescribed fuctios Proble solvig d grph work ivolvig prescribed fuctios Averge grdiet betwee two poits Proble solvig d grph work ivolvig prescribed fuctios Proble solvig d grph work ivolvig prescribed fuctios Proble solvig d grph work ivolvig prescribed fuctios Averge grdiet betwee two poits Proble solvig d grph work ivolvig prescribed fuctios Pge 7 59

17 S FINANCE, GROWTH AND DECAY Use Use siple siple d d copoud copoud growth/dec growth/dec Streg Streg Grde work Grde work Use siple d copoud forule A P i d A P i growth forule to solve Use siple d copoud growth/dec probles forule A P i icludig iterest, d A P i hire purchse, to solve probles forule A P i d A P i to solve ifltio, icludig popultio probles iterest, growth icludig hire purchse, d iterest, or rel ifltio, hire life purchse, popultio probles icludig iterest, hire purchse, probles growth d ifltio, or rel popultio life probles growth d or rel life ifltio, popultio growth d or rel life probles probles The effect differet periods copoudig Criticll lse differet lo optios growth d dec The iplictios icludig effective fluctutig d foreig The effect differet periods copoudig The effect differet periods copoudig growth Criticll lse differet lo optios oil iterest echge rtes rtes growth d dec icludig effective d d dec icludig effective d oil iterest oil iterest rtes rtes FINANCE, GROWTH AND DECAY FINANCE, GROWTH AND DECAY Use siple d d copoud growth growth forule forule A P i d A P i to solve probles probles icludig icludig iterest, iterest, hire purchse, hire purchse, ifltio, ifltio, popultio popultio growth d growth or d rel or life rel life probles CAPS C The iplictios fluctutig foreig echge The iplictios rtes fluctutig foreig echge rtes 4 ALGEBRA 4 ALGEBRA Siplif epressios ug lws 4 ALGEBRA Appl lws epoets to epressios ivolvig Appl lw logrith to solve rel Siplif epoets epressios for itegrl ug epoets lws rtiol Appl epoets lws epoets to epressios Appl lw life probles logrith to solve rel life epoets for itegrl epoets ivolvig rtiol Siplif epoets epressios ug lws probles Appl lws epoets to epressios A b Estblish betwee which two itegers b Add, subtrct, b Estblish betwee which two itegers b Add, subtrct, epoets ultipl ultipl for d itegrl d divide divide siple epoets siple surds ivolvig rtiol epoets p give siple surd lies give siple surd lies c surds Deostrte b Estblish uderstdig betwee which two itegers defiitio b Add, subtrct, ultipl d divide siple c c Roud Roud rel rel ubers ubers to pproprite to pproprite c Deostrte logrith give d uderstdig siple lws surd eeded lies to solve rel life surds degree degree ccurc ccurc to to give give uber uber probles defiitio c Roud logrith rel ubers d to lws pproprite c Deostrte uderstdig decil digits decil digits eeded to solve degree rel life ccurc probles to give uber defiitio logrith d lws d Revise scietific ottio decil digits eeded to solve rel life probles d Revise scietific ottio Mipulte lgebric epressios b: Revise fctoristio fro Grde 0 Tke ote d uderstd Mipulte lgebric epressios b: Revise fctoristio fro Grde 0 ultiplig bioil b trioil; Tke ote d uderstd Reider d Reider Fctor Theores ultiplig bioil b trioil; Mipulte lgebric epressios b: d Fctor Revise Theores fctoristio for poloils fro Grde up 0 for poloils up to third fctorig coo fctor revisio; fctorig coo fctor revisio; ultiplig bioil b trioil; to third degree degree pros pros Reider fctorig fctorig b groupig b groupig i pirs; i pirs; fctorig coo fctor revisio; Reider d d Fctor Fctor ores ores will ot will ot be fctorig fctorig trioils; trioils; fctorig b groupig i pirs; be eied eied fctorig differece differece two squres two squres fctorig trioils; Fctorise third-degree Fctorise poloils third-degree revisio; fctorig differece two squres icludig eples which require revisio; poloils icludig eples fctorig differece d sus two revisio; fctorig differece d sus Fctor Theore which require Fctor cubes; d fctorig differece d sus two two cubes; d Theore siplifig, ddig, subtrctig, cubes; d siplifig, ddig, subtrctig, ultiplig d divisio lgebric siplifig, ddig, subtrctig, ultiplig d divisio lgebric frctios with uertors d ultiplig d divisio lgebric frctios with uertors d deoitors liited to poloils frctios with uertors d deoitors liited to poloils covered i fctoristio deoitors liited to poloils covered i fctoristio covered i fctoristio Pge

18 Deterie ture roots d coditios for which roots re rel, o-rel, equl, uequl, rtiol d irrtiol Deterie ture roots d coditios for which roots re rel, o-rel, equl, uequl, rtiol d irrtiol Solve: Solve: qudrtic equtios b fctoristio d b ug qudrtic forul; qudrtic equtios b fctoristio d b ug qudrtic forul; equtios i two ukows, oe which is 4 ALGEBRA Solve: Solve: lier equtios; lier equtios; qudrtic equtios b fctoristio; lier equtios or qudrtic, i two lgebricll ukows, oe or which is lier grphicll or qudrtic, lgebricll or grphicll literl equtios chgig subject epoetil forul; equtios cceptig tht qudrtic equtios b fctoristio; literl equtios chgig subject forul; Eplore Eplore ture roots ture through roots through vlue vlue b 4 c lws epoetil epoets hold equtios for rel cceptig epoets d solutios tht re lws ot ecessril epoets itegrl hold for or eve rel rtiol; epoets d solutios re ot lier iequlities ecessril i itegrl oe vrible or eve d rtiol; illustrte lier solutio iequlities grphicll; i oe vrible d d lier equtios illustrte i two solutio vribles grphicll; d lier equtios i two vribles siulteousl lgebricll d grphicll siulteousl lgebricll d grphicll 5 DIFFERENTIAL CALCULUS AND INTEGRATION 5 DIFFERENTIAL CALCULUS AND INTEGRATION A ituitive uderstdig A ituitive uderstdig cocept cocept liit b Differetitio specified fuctios fro first priciples liit b Differetitio specified fuctios fro first priciples c Use specified rules differetitio c Use specified rules differetitio d The equtios tgets to grphs fuctios e The bilit to sketch grphs cubic f Prcticl probles fuctios ivolvig optiistio d The equtios tgets to grphs e The bilit to sketch grphs cubic f Prcticl probles ivolvig optiistio d rtes chge icludig clculus otio d rtes chge icludig clculus otio 6 CURRICULUM AND ASSESSMENT POLICY STATEMENT CAPS g Bsic itegrtio g Bsic itegrtio 6 EUCLIDEAN GEOMETRY Revise cocept siilrit d proportiolit b Appl proportiolit i trigles c Appl id-poit ore Ivestigte ores geoetr circles ssuig results fro erlier grdes, toger with oe or result cocerig tgets d rdii circles b Solve circle geoetr probles, providig resos for stteets whe required Revise bsic results estblished i erlier grdes b Ivestigte d for cojectures bout properties specil trigles sclee, isosceles, equilterl d right-gled trigle d qudrilterls Pge 9 59

19 Revise cocept siilrit d proportiolit b Appl proportiolit i trigles Ivestigte ores geoetr circles ssuig results fro erlier grdes, toger with oe or result cocerig tgets d rdii circles 6 EUCLIDEAN GEOMETRY Revise bsic results estblished i erlier grdes c Ivestigte ltertive but equivlet b Ivestigte d for cojectures bout defiitios vrious polgos icludig properties specil trigles sclee, isosceles, equilterl sclee, isosceles, d right-gled equilterl trigle d rightgled d qudrilterls trigle, kite, prllelogr, CAPS c Appl id-poit ore b Solve circle geoetr probles, providig resos for stteets whe required c Ivestigte ltertive but equivlet defiitios vrious polgos icludig sclee, isosceles, equilterl d right-gled trigle, kite, prllelogr, rectgle, rhobus, squre d trpeziu rectgle, rhobus, squre d trpeziu d Applictio ore Pthgors 7 MENSURATION Coversio uits, squre uits d cubic Solve probles ivolvig volue d Revise work studied i erlier Grdes uits d Applictio ore Pthgors surfce re solids studied i erlier 7 MENSURATION grdes d cobitios those objects Coversio uits, squre uits d cubic uits to for Solve ore cople probles shped ivolvig solids volue d surfce Revise work studied i erlier Grdes b Deterie re irregulr figure ug Mid-ordite Rule re solids studied i erlier grdes d cobitios those objects to for ore cople shped solids 8 CIRCLES, ANGLES AND ANGULAR MOVEMENT b Deterie re irregulr figure ug Defie rdi Mid-ordite Rule Agles d rcs 8 CIRCLES, Covertig ANGLES degrees AND ANGULAR to rdis d MOVEMENT vice Degrees d rdis vers Defie rdi Sectors d Agles segets d rcs Covertig degrees to rdis d vice vers Agulr d Degrees circuferetil d rdis velocit Sectors d segets 9 ANALYTICAL GEOMETRY Agulr d circuferetil velocit 9 ANALYTICAL GEOMETRY Represet Represet geoetric geoetric figures figures i Crtesi i Crtesi coorditordite co- Use Crtesi Use co-ordite Crtesi co-ordite sste to sste to deterie: Use two-diesiol Use two-diesiol Crtesi co-ordite Crtesi co- sste, sste, d derive d derive d ppl, d for ppl, for two deterie: equtio lie through two give sste to deterie: ordite sste to deterie: two poits ; d ; forul for clcultig: equtio poits; lie through two give equtio circle equtio with cetre circle t with clcultig: distce betwee two poits; poits; equtio lie through oe poit d origi cetre cetre is 0;0; t origi cetre is distce betwee two poits; equtio lie through oe poit equtio tget to circle t grdiet lie seget joiig prllel or perpediculr to give lie; d 0;0; grdiet lie seget joiig d prllel or perpediculr to give give poit o circle; d poits; gle iclitio lie equtio tget to poits; lie; d poit/s itersectio circle t circle give d poit o co-ordites id-poit lie co-ordites id-poit gle iclitio lie stright lie circle; d seget joiig poits; d lie seget joiig poits; d poit/s itersectio circle equtio equtio stright stright lie joiig lie joiig two d stright lie two poits poits 7 Pge 0 59

20 8 CURRICULUM AND ASSESSMENT POLICY STATEMENT CAPS 0 TRIGONOMETRY Defiitios trigooetric fuctios 0 TRIGONOMETRY Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooetric erlier grdes to pro side equls to right h Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two b costructig d iter d trigooetric odel uericl distces/leg Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i e Rottig vectors e d ie curves ol, Pge 59 0 TRIGONOMETRY Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooetric idetities studied i erlier grdes to prove tht left hd side equls to right hd side Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two d three diesios b costructig d iterpretig geoetric d trigooetric odels Ol gles d uericl distces/legths should be used Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i erlier grdes Rottig vectors e d ie curves ol d Pge 59 0 TRIGONOMETRY Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooetric idetities studied i erlier grdes to prove tht left hd side equls to right hd side Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two d three diesios b costructig d iterpretig geoetric d trigooetric odels Ol gles d uericl distces/legths should be used Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i erlier grdes Rottig vectors e d ie curves ol trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios 0 TRIGONOMETRY Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooetric idetities stu erlier grdes to prove tht left h side equls to right hd side Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two d three die b costructig d iterpretig geo d trigooetric odels Ol gles uericl distces/legths should be Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i erlier grdes Rottig vectors e d ie curves ol Pge 59 TRIGONOMETRY Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooetric idetities studied i erlier grdes to prove tht left hd side equls to right hd side Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two d three diesios b costructig d iterpretig geoetric d trigooetric odels Ol gles d uericl distces/legths should be used Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i erlier grdes Rottig vectors e d ie curves ol d Pge 59 0 TRIGONOMETRY Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooetric idetities studied i erlier grdes to prove tht left hd side equls to right hd side Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two d three diesios b costructig d iterpretig geoetric d trigooetric odels Ol gles d uericl distces/legths should be used Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i erlier grdes Rottig vectors e d ie curves ol b Eted defiitios Pge 59 0 TRIGONOMETRY Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooetric idetities studied i erlier grdes to prove tht left hd side equls to right hd side Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two d three diesios b costructig d iterpretig geoetric d trigooetric odels Ol gles d uericl distces/legths should be used Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i erlier grdes Rottig vectors e d ie curves ol, Pge 59 0 TRIGONOMETRY Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooetric idetities studied i erlier grdes to prove tht left hd side equls to right hd side Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two d three diesios b costructig d iterpretig geoetric d trigooetric odels Ol gles d uericl distces/legths should be used Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i erlier grdes Rottig vectors e d ie curves ol d 0 TRIGONOMETRY Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooetric ide erlier grdes to prove side equls to right h Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two d t b costructig d iterpre d trigooetric odels O uericl distces/legths Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i erlie Rottig vectors e d ie curves ol to Pge 59 0 TRIGONOMETRY Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooetric idetities studied i erlier grdes to prove tht left hd side equls to right hd side Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two d three diesios b costructig d iterpretig geoetric d trigooetric odels Ol gles d uericl distces/legths should be used Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i erlier grdes Rottig vectors e d ie curves ol d clculte trigooetric rtios c Siplifictio trigooetric epressios/ equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: Pge 59 0 TRIGONOMETRY Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooetric idetities studied i erlier grdes to prove tht left hd side equls to right hd side Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two d three diesios b costructig d iterpretig geoetric d trigooetric odels Ol gles d uericl distces/legths should be used Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i erlier grdes Rottig vectors e d ie curves ol, Pge 59 0 TRIGONOMETRY Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooetric idetities studied i erlier grdes to prove tht left hd side equls to right hd side Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two d three diesios b costructig d iterpretig geoetric d trigooetric odels Ol gles d uericl distces/legths should be used Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i erlier grdes Rottig vectors e d ie curves ol, Pge 59 0 TRIGONOMETRY Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooetric idetities studied i erlier grdes to prove tht left hd side equls to right hd side Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two d three diesios b costructig d iterpretig geoetric d trigooetric odels Ol gles d uericl distces/legths should be used Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i erlier grdes Rottig vectors e d ie curves ol, d 0 TRIGONOMETRY Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooetric idetities studied i erlier grdes to prove tht left hd side equls to right hd side Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two d three diesios b costructig d iterpretig geoetric d trigooetric odels Ol gles d uericl distces/legths should be used Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i erlier grdes Rottig vectors e d ie curves ol b Reductio forule, Pge 59 0 TRIGONOMETRY Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooetric idetities studied i erlier grdes to prove tht left hd side equls to right hd side Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two d three diesios b costructig d iterpretig geoetric d trigooetric odels Ol gles d uericl distces/legths should be used Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i erlier grdes Rottig vectors e d ie curves ol d 0 TRIGONOMETRY Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooetric i erlier grdes to prov side equls to right h Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two d b costructig d iterp d trigooetric odels uericl distces/legt Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i er Rottig vectors e d ie curves ol c Deterie solutios trigooetric equtios for Pge 59 0 TRIGONOMETRY Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooetric idetities studied i erlier grdes to prove tht left hd side equls to right hd side Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two d three diesios b costructig d iterpretig geoetric d trigooetric odels Ol gles d uericl distces/legths should be used Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i erlier grdes Rottig vectors e d ie curves ol d Appl e, ie d re rules pros se rules will ot be eied Appl trigooetric idetities studied i erlier grdes to prove tht left hd side equls to right hd side Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two d three diesios b costructig d iterpretig geoetric d trigooetric odels Ol gles d uericl distces/legths should be used Drw grphs Pge 59 0 TRIGONOMETRY Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooetric idetities studied i erlier grdes to prove tht left hd side equls to right hd side Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two d three diesios b costructig d iterpretig geoetric d trigooetric odels Ol gles d uericl distces/legths should be used Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i erlier grdes Rottig vectors e d ie curves ol, Pge 59 0 TRIGONOMETRY Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooetric idetities studied i erlier grdes to prove tht left hd side equls to right hd side Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two d three diesios b costructig d iterpretig geoetric d trigooetric odels Ol gles d uericl distces/legths should be used Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i erlier grdes Rottig vectors e d ie curves ol d 0 TRIGONOMETRY Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooet erlier grdes to p side equls to righ Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two b costructig d i d trigooetric od uericl distces/le Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i Rottig vectors e d ie curves ol The effects preters o grphs defied b Pge 59 0 TRIGONOMETRY Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooetric idetities studied i erlier grdes to prove tht left hd side equls to right hd side Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two d three diesios b costructig d iterpretig geoetric d trigooetric odels Ol gles d uericl distces/legths should be used Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i erlier grdes Rottig vectors e d ie curves ol, Pge 59 0 TRIGONOMETRY Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooetric idetities studied i erlier grdes to prove tht left hd side equls to right hd side Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two d three diesios b costructig d iterpretig geoetric d trigooetric odels Ol gles d uericl distces/legths should be used Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i erlier grdes Rottig vectors e d ie curves ol d 0 TRIGONOMETRY Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooet erlier grdes to p side equls to righ Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two b costructig d it d trigooetric od uericl distces/le Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i Rottig vectors e d ie curves ol The effects Pge 59 0 TRIGONOMETRY Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooetric idetities studied i erlier grdes to prove tht left hd side equls to right hd side Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two d three diesios b costructig d iterpretig geoetric d trigooetric odels Ol gles d uericl distces/legths should be used Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i erlier grdes Rottig vectors e d ie curves ol o grphs 0 TRIGONOMETRY Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooetric id erlier grdes to prove side equls to right h Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two d b costructig d iterpr d trigooetric odels uericl distces/legth Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i erl Rottig vectors e d ie curves ol, Pge 59 Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooetric idetities studied i erlier grdes to prove tht left hd side equls to right hd side Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two d three diesios b costructig d iterpretig geoetric d trigooetric odels Ol gles d uericl distces/legths should be used Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i erlier grdes Rottig vectors e d ie curves ol d Pge 59 Defiitios trigooetric fuctios, d gled i right t trigles Tke ote tht re re specil es for reciprocls trigooetric fuctios ec ; sec d t cot c Eted defiitios, d t to 60 0 d clculte trigooetric rtios d Siplifictio trigooetric epressios/equtios b kig use clcultor d Solve siple trigooetric equtios for gles betwee 0 0 d 90 0 Use idetities: t,, t sec, d cot ec b Reductio forule, 80 d 60 c Deterie solutios trigooetric equtios for 60 0 d Appl e, ie d re rules pros se rules will ot be eied Appl trigooetric idetities studied i erlier grdes to prove tht left hd side equls to right hd side Solve probles i two diesios b ug bove trigooetric fuctios d b costructig d iterpretig geoetric d trigooetric odels Solve probles i two diesios b ug e, ie d re rule Solve probles i two d three diesios b costructig d iterpretig geoetric d trigooetric odels Ol gles d uericl distces/legths should be used Drw grphs, d t The effects preters o grphs defied b k, k d k t The effects p o grphs p, p d t p Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i erlier grdes Rottig vectors e d ie curves ol Oe preter should be tested t give tie if eiig horizotl shift Revise work studied i erlier grdes Rottig vectors e d ie curves ol

21 Cotet Clrifictio with techig guidelies I Sectio, cotet clrifictio icludes: Techig guidelies Sequecig topics per ter Pcig topics over er Ech cotet re hs bee broke dow ito topics The sequecig topics withi ters gives ide how cotet res c be spred d re-visited throughout er The eples discussed i Clrifictio Colu i ul techig pl which follows re b o es coplete represettio ll teril to be covered i curriculu The ol serve s idictio soe questios o topic t differet cogitive levels Tet books d or resources should be cosulted for coplete tretet ll teril The order topics is ot prescriptive, but esures tht i first two ters, ore th si topics re covered/ tught so tht ssesset is blced betwee pper d CAPS 9

22 Alloctio Techig Tie Tie lloctio for Techicl Mtics: 4 hours d 0 iutes, eg si fort-five-iute periods per week i Grdes 0, d Ters Grde 0 Grde Grde Ter Ter Ter Ter 4 Itroductio Nuber sstes Epoets Mesurtio Algebric Epressios Algebric Epressios Equtios d iequlities Trigooetr MID-YEAR EXAMS Trigooetr Fuctios d grphs Euclide Geoetr Alticl Geoetr Alticl Geoetr Circles, gles d gulr oveet Fice d growth Revisio EXAMS No weeks 4 Epoets d surds Logriths Equtios d iequlities icludig ture roots Alticl Geoetr Fuctios d grphs Euclide Geoetr MID-YEAR EXAMS Circles, gles d gulr oveet Trigooetr Fice, growth d dec Mesurtio Revisio EXAMS No weeks Cople ubers Poloils Differetil Clculus Itegrtio Alticl Geoetr Euclide Geoetr MID-YEAR EXAMS Euclide Geoetr Trigooetr Revisio TRIAL EXAMS Revisio EXAMS No weeks CURRICULUM AND ASSESSMENT POLICY STATEMENT CAPS

23 The detil which Sequecig follows icludes d eples Pcig d Topics uericl refereces to Overview WEEK MATHEMATICS: GRADE 0 PACE SETTER Ter TERM Weeks WEEK WEEK WEEK WEEK 4 WEEK 5 WEEK 6 WEEK 7 WEEK 8 WEEK 9 WEEK 0 CAPS Topics Itroductio Nuber sstes Epoets Mesurtio Algebric Epressios WEEK 0 WEEK WEEK 9 Assesset Ivestigtio or project Test Dte copleted Ter TERM Weeks WEEK WEEK WEEK WEEK 4 WEEK 5 WEEK 6 WEEK 7 WEEK 8 Equtios d Iequlities Trigooetr Topics Algebric Epressios Assesset Assiget / Test MID-YEAR EXAMINATION Dte copleted Ter TERM Weeks WEEK WEEK WEEK WEEK 4 WEEK 5 WEEK 6 WEEK 7 WEEK 8 WEEK 9 WEEK 0 Topics Trigooetr Fuctios d grphs Euclide Geoetr Alticl Geoetr Assesset Test Test Dte copleted Ter 4 TERM 4 Pper : hours Pper : hours 0 60 Algebric epressios d equtios icludig iequlities d epoets Fice d growth Fuctios d grphs ecludig trig fuctios WEEK 0 WEE K 9 WEEK 8 WEEK 7 WEEK 6 WEEK 5 WEEK 4 Weeks WEEK WEEK WEEK 5 Euclide Geoetr Alticl Geoetr Trigooetr Mesurtio, circles, gles d gulr oveet Revisio Adi Fice d growth Circles, gles d gulr oveet Topics Alticl Geoetr 5 Assesset Test Eitios Totl rks 00 Totl rks 00 Dte copleted

24 Sequecig d Pcig Topics MATHEMATICS: GRADE PACE SETTER Ter TERM Weeks WEEK WEEK WEEK WEEK 4 WEEK 5 WEEK 6 WEEK 7 WEEK 8 WEEK 9 WEEK 0 WEEK Topics Epoets d surds Logriths Equtios d iequlities Nture roots Assesset Ivestigtio or project Test Dte copleted Ter TERM Weeks WEEK WEEK Alticl Geoetr WEEK WEEK 4 WEEK 5 WEEK 6 WEEK 7 WEEK 8 WEEK 9 WEEK 0 WEEK Topics Fuctios d grphs Euclide Geoetr Trigooetr Assesset Assiget / Test MID-YEAR EXAMINATION Dte copleted Ter TERM Weeks WEEK WEEK WEEK WEEK 4 WEEK 5 WEEK 6 WEEK 7 WEEK 8 WEEK 9 WEEK 0 Topics Circles, gles d gulr oveet Trigooetr Fice, growth d dec Assesset Test Test Dte copleted Ter 4 TERM 4 Pper : hours Pper : hours Weeks WEEK WEEK WEEK WEEK 4 WEEK 5 WEEK 6 WEEK 7 WEEK 8 WEEK 9 WEEK 0 Topics Mesurtio Revisio FINAL EXAMINATION Adi Assesset Test Algebric epressios, equtios, iequlities d ture roots Fuctios d grphs ecludig trig fuctios Fice, growth d dec Euclide Geoetr Alticl Geoetr Trigooetr d Mesurtio, circles, gles d gulr oveet Dte copleted Totl rks 50 Totl rks 50 CURRICULUM AND ASSESSMENT POLICY STATEMENT CAPS

25 MATHEMATICS: GRADE PACE SETTER Ter TERM Weeks WEEK WEEK WEEK WEEK 4 WEEK 5 WEEK 6 WEEK 7 WEEK 8 WEEK 9 WEEK 0 WEEK Topics Cople ubers Fuctios: Poloils Differetil Clculus Assesset Test Ivestigtio or project Assiget / Test Dte copleted Ter TERM Weeks WEEK WEEK WEEK WEEK 4 WEEK 5 WEEK 6 WEEK 7 WEEK 8 WEEK 9 WEEK 0 Topics Itegrtio Alticl Geoetr Euclide Geoetr WEEK Assesset Test MID-YEAR EXAMINATION Dte copleted Ter TERM Weeks WEEK WEEK WEEK WEEK 4 WEEK 5 WEEK 6 WEEK 7 WEEK 8 WEEK 9 WEEK 0 Topics Euclide Geoetr Trigooetr Revisio Assesset Test TRIAL EXAMINATION Dte copleted Ter 4 TERM 4 Pper : hours Pper : hours WEEK WEEK WEEK WEEK 4 WEEK 5 WEEK 6 WEEK 7 WEEK 8 WEEK 9 WEEK 0 Revisio FINAL EXAMINATION Adi Algebric epressios d equtios d iequlities, logs d cople ubers Fuctios d grphs ecludig trig fuctios Fice, growth d dec Differetil Clculus d itegrtio Euclide Geoetr Alticl Geoetr Trigooetr d Mesurtio, circles, gles d gulr oveet Dte copleted Totl rks 50 Totl rks 50 CAPS

26 Topic lloctio per ter d clrifictio Topic lloctio Topic lloctio per per ter ter per d d ter clrifictio d clrifictio Topic lloctio per ter d clrifictio GRADE 0: TERM Weeks Topic Curriculu stteet Clrifictio GRADE Where 0: 0: TERM eple GRADE GRADE 0: 0: TERM TERM GRADE 0: TERM is give, cogitive ded Weeks Topic Curriculu stteet is suggested: kowledge K, routie Clrifictio procedure R, eeks eks Topic Topic Curriculu stteet cople procedure C or proble-solvig Clrifictio Weeks Topic Curriculu stteet P Where eple is is give, Clrifictio cogitive ded is is suggested Mticl lguge d Where All bsic lgebr ust is give, be revised is kowledge Where eple eple is give, K, routie give, cogitive procedure cogitive ded R, cople ded is suggested: procedure is suggest C C Itroductio cocepts used i previous ers kowledge K, R, C or proble-solvig kowledge K, routie K, routie procedure P procedure R, cople R, cople procedure procedure C or C re revised proble-solvig proble-solvig P P P Uderstd tht rel Use rel ubers s set poits d epli Mticl lguge d cocepts All All bsic lgebr ust be be revised Mticl ubers d c be turl, All bsic ech set ust ubers o lie Nturl, whole, Itroductio used Mticl lguge i i previous lguge d cocepts used i whole, ers re itegers, ers re re d rtiol, revised cocepts All bsic All lgebr bsic lgebr ust be ust revised be revised Itroductio Itroductio used i previous used i previous ers re ers revised re revised itegers, rtiol, irrtiol irrtiol Del with igir, bir d cople ubers Uderstd Itroduce tht tht rel bir rel d ubers c Use rel ubers s s set set poits d epli ech set set Uderstd c Use Bir rel s bsic set opertios poits d icludig ech set be be Uderstd tht rel turl, be cople whole, tht ubers rel ubers itegers, ubers c rtiol, c Use rel ubers Use ubers rel o o ubers s set lie s Nturl, poits set whole, d poits epli itegers, d ech epli set rtiol, ech set be turl, dditio, subtrctio, lie ultiplictio d divisio irrtiol be turl, whole, itegers, whole, itegers, rtiol, rtiol, ubers Roud rel ubers f to Del whole Del ubers o lie with ubers with igir, Nturl, lie Nturl, whole, itegers, bir d whole, cople itegers, rtiol, ubers rtiol, irrtiol irr irrtiol bir d Itroduce irrtiol Del sigifict/pproprite igir, bir d with bir d Bir Cople Bir Del igir, with ubers ubers igir, bir d bsic defie bsic bir cople ol opertios d cople ubers icludig ubers dditio, Itroduce Nuber cople Itroduce igir, degree ubers igir, bir d ccurc bir d Bir ubers subtrctio, Bir ubers bsic opertios ultiplictio bsic opertios icludig d divisio icludig dditio, whole dditio, ubers cople Lerers ust ble to d roud f to oe, whole two or sstes Roud cople ubers Covert rel ubers subtrctio, rtiol ubers f f to to Roud rel f to three Cople subtrctio, ultiplictio decils ubers ultiplictio d divisio defie d ol divisio whole ubers whole ubers Roud defie ol Nuber rel sigifict/pproprite Roud ubers ito rel decil ubers f to Cople ubers f degree to d Lerers Cople ubers ust ubers defie be ble ol defie to to roud ol f f to to oe, two or or three de Nuber Bir ubers ust sste be ble cosists to roud two f to ubers, oe, two or three sstes Nuber sigifict/pproprite ccurc sigifict/pproprite degree vice vers degree Lerers Lerers ust be ust ble be to roud ble to f roud to oe, f two to oe, or three two or decils three d sstes el 0 d sstes ccurc Covert ccurc Deterie rtiol betwee ubers which ito Bir ubers sste cosists two ubers, el 0 d Covert Eples: two itegers ito Bir two 0 d decil Covert rtiol ubers rtiol ubers ubers ito Bir ubers d give vice vers ito Eples: Bir ubers sste cosists sste cosists two ubers, two ubers, el el 0 d 0 decil siple d surd vice lies vers Deterie decil ubers ubers d vice betwee d vers Eples: which vice two vers Eples: Set builder which ottio, two 7 R 7 R R R 0 R R 0 R Deterie 0 itegers give siple surd lies Deterie betwee betwee which two which two 7 R 7 R R 0 give itervl siple surd d lies R itegers Set Set itegers give siple builder give surd ottio, siple lies 0 itervl surd lies Set Set builder uber lies ottio Set ottio, builder d ottio, itervl 00 uber itervl lies ottio d lies Revise ottio d uber lws d epoets uber lies lies studied Coet: i i Coet: Revise prie Revise bse prie ubers bse ubers d prie d prie fctoristio Revise Revise lws lws i Grde 9 where i Revise prie bse d prie Grde Revise epoets 9 lws where epoets studied studied i fctoristio Coet: i Coet: Revise prie Revise bse prie ubers bse ubers d prie d fctoristio prie fctoristio Grde Grde 9 9 where Grde where,, 0 9 d where,, Z Eples:,, 0 0 d, d, 0, d Z, Z Eples: Eples: K K + = K K 9 Epoets 9 K K R R R = + Epoets 9 Epoets 9 R R 9 R Solve for for :: : Pge Epoets Also b b defiitio: Solve for Also b Solve : for 7 7 : Pge Also b defiitio: Also b defiitio: K K Also b 7 K defiitio:, 0, 0, d,, d 0 0,,, K K K K K K, = 0, d, 0, K, 0,d, 4 6 6K K 0 =, 0 Use lws epoets to siplif epressios d Coet: Mke sure to do eples ver big d solve es epoetil ver sll equtios epoets ubers ol be whole ubers Mesurtio Revise scietific ottio Coversio uits d squre uits d cubic uits All coversios should be doe both ws Applictios i techicl fields Uits legth:, c,, k eg 000 = k Uits re:, c, eg = Uits volue: l = c,, d = l Tpicl prcticl eples o lerers level should be itroduced 4 CURRICULUM AND ASSESSMENT POLICY STATEMENT CAPS

27 epoetil equtios Coet: Mke sure to to do do eples ver big d ver sll epoets ol be whole ubers ubers Revise scietific ottio Coversio uits d squre uits Uits legth:, c,, k eg 000 = k d cubic uits GRADE 0: TERM Uits re:,, c,, eg = Weeks Topic All coversios Curriculu should be stteet doe Clrifictio Uits volue: l = c,,,, d = l Mesurtio both ws Where Tpicl eple prcticl eples is give, o cogitive lerers ded level should be Applictios i i techicl fields is suggested: itroduced kowledge K, routie procedure R, cople procedure C or proble-solvig P Revise ottio Revise itervl, ottio itervl, set set builder, uber builder, uber lie, sets lie, sets Eples Addig d Addig subtrctig d subtrctig lgebric Subtrct b fro 5 0 b K lgebric ters ters Multiplictio bioil b Multiplictio bioil b bioil Reove brckets bioil 4 Multiplictio bioil b + = K K 4 4 Multiplictio trioil bioil b trioil 5 Deterie HCF d 4 5 = K K 5 5 Deterie LCM HCF ot d ore LCM th three ot = K K Algebric ore th uericl three uericl or ooil or 5 5 epressios b 5 R Algebric ooil lgebric epressios b + = R kig use fctoristio epressios kig use fctoristio 6 Fctoristio followig Fctorise Fctorise tpes: 6 6 Fctoristio followig tpes: K K coo fctors coo fctors b c b c R i groupig i i pirs b K K two squres differece two 9 9 is 8 ot restricted to R i grde dditio/subtrctio squres two 9 8 R cubes 0 44 R dditio/subtrctio R trioils two cubes Assesset Ter : trioils ec Ivestigtio or project ol oe project or oe ivestigtio er t lest 50 rks Eple ivestigtio: Igie cube white wood which is dipped ito red pit so tht for surfce prbol is red, grphs but ol iside grde still white 0 If oe cut is de, prllel to ech fce cube d through cetre cube, re will be 8 sller cubes Ech sller cubes will hve red fces d white fces Ivestigte uber sller cubes cot ec which will hve,, d 0 red fces if //4/ / equll spced cuts re de prllel to ech fce This tsk provides opportuit to ivestigte, tbulte results, ke cojectures d justif or prove Pge Test t lest 50 rks d hour Mke sure ll topics re tested Cre eeds to be tke to set questios o ll four cogitive levels: pproitel 0% kowledge, pproitel 5% routie procedures, 0% cople procedures d 5% proble-solvig CAPS 5

28 GRADE 0: TERM GRADE s Topic Curriculu stteet GRADE 0: 0: TERM TERM Clrifictio GRADE 0: TERM ks s Topic Topic Curriculu Curriculu stteet stteet Where eple is give, Clrifictio Clrifictio cogitive ded is suggested: Weeks Topic Curriculu stteet Where kowledge Where eple K, routie is is give, give, Clrifictio procedure cogitive R, cople ded procedure is is suggested: C or kowledge proble-solvig Where eple K, K, routie routie P is give, procedure cogitive R, R, cople ded procedure C C or or proble-solvig is suggested: kowledge P P K, routie procedure R, 7 Do dditio, subtrctio, cople procedure C or proble-solvig P 7 7 Do ultiplictio Do dditio, 7 Do subtrctio, d dditio, divisio subtrctio, Siplif ultiplictio lgebric frctios ultiplictio ug d divisio Algebric d d divisio divisio Siplif lgebric fctoristio uertors lgebric frctios d Epressios Algebric b b ug fctoristio frctios ug Algebric ug R cotiue Epressios fctoristio deoitors uertors should be liited d d to b b R uertors d cotiue poloils covered i Epressios b b fctoristio deoitors should be b b R deoitors should should be be liited liited to to b b R b b R cotiue poloils covered liited i to poloils i + R fctoristio covered i fctoristio R 4 R Revise ottio itervl, set builder, Revise ottio itervl, Revise uber Revise ottio lie, sets itervl, Eples set set builder, uber set builder, lie, Eples Solve uber lier lie, lie, equtios sets sets Eples Solve for Solve for : Solve Solve lier equtio lier equtios Solve with lier frctios equtios Solve K Solve for for + = :: K Solve Solve equtio Solve with with equtio frctios with 4 8 K R K Solve qudrtic frctios equtios b fctoristio Solve qudrtic 4 = + R R Solve Solve qudrtic equtios b b 0 K R fctoristio Solve siulteous equtios lier b equtios Solve for + d = : K 4 Equtios with two vribles fctoristio 0 K K Solve Solve siulteous lier 4 4 d 6 R Solve siulteous lier equtios Solve Solve for for d d :: Equtios d 4 with with Do bsic two two vribles Grde 8 & 9 word 4 lier equtios with two 4 + = 4 d d + = 6 R R Iequlities d d Equtios 4 4 probles Do Do bsic bsic Grde Grde 8 vribles & 9 word word 5 v u t Chge subject forul to R Iequlities 4 d probles Solve word 4 probles Do bsic ivolvig Grde 8 & E Iequlities 5 v u v t t Chge subject forul to to lier, qudrtic siulteous v R R 4 4 Solve Solve word word probles word probles ivolvig 6 lier, equtios 4 Solve or word 6 E v v Chge subject forul to lier, qudrtic or siulteous to v R R 5 lier Solve lier siple equtios lier probles iequlities ivolvig d 5 show solutio lier, grphicll qudrtic or 5 Solve Solve siple siple lier iequlities d d 6 show Mipultio siulteous forule techicl lier show solutio grphicll relted equtios 6 6 Mipultio 5 Solve forule techicl siple lier relted iequlities d show Trigooetr Kow defiitios solutio grphicll Deterie vlues d t if trigooetric rtios, d 5 d Trigooetr 6 Mipultio forule Kow Kow defiitios Deterie vlues vlues d dt t if if trigooetric techicl rtios rtios relted,, d 5 d d d Pge 0 Pge Pge CURRICULUM AND ASSESSMENT POLICY STATEMENT CAPS

29 GRADE 0: TERM Weeks Topic Curriculu stteet Clrifictio Where eple is give, cogitive ded is suggested: kowledge K, routie procedure R, cople procedure C or proble-solvig P Kow defiitios trigooetric rtios θ, Deterie vlues θ d t θ if θ = 5 d t, ug right-gled θ d ttrigles θ, ug C t, ug right-gled trigles C C for 0 right-gled 60 trigles for for 0 60 Itroduce 0 reciprocls θ 60 Itroduce reciprocls bsic trigooetric Itroduce is ot restricted rtios, to i, bsic trigooetric rtios,, grde reciprocls bsic d t : trigooetric 7 8 rtios, 5 ec, d t : θ, θ d t θ : 5 ec, sec d ec t cot 0 sec d t cot 0 Trigooetric rtios i ech, Trigooetric rtios i ech sec θ = qudrts re clculted where oe qudrts re clculted where oe rtio i qudrt is d θgive b rtio i qudrt is give cot θ = for prbol grphs ol grde 0 t b kig use digrs Mkig Mkig use use Pthgors Pthgors ore ore kig use digrs Mkig use Pthgors ore 4 Prctise use clcultor θ Trigooetric cot for 4 Prctise use clcultor for rtios i Drw grph = θ for 00 θ 60 b b kig questios pplicble to Drw questios pplicble ech to qudrts kig grph use tble, for poit 0 b poit 60 plottig b kig d trigooetr use tble, poit b poit plottig d idetif followig: trigooetr re clculted where oe use idetif tble, poit followig: b poit plottig d idetif followig: - sptotes 5 Solve siple rtio trigooetric i qudrt is - sptotes sptotes 5 Solve siple trigooetric - es setr give b kig use Trigooetr equtios for gles betwee 0 0 d - equtios - doi d rge C digrs 90 0 for gles betwee 0 0 es es setr setr d doi doi d rge d rge C C 4 Prctise use 6 Solve two-diesiol clcultor for probles questios Note: 6 Solve two-diesiol probles Note: Note: ivolvig right-gled pplicble to trigles trigooetr - It is ver iportt to be ble to red f vlues fro grph ivolvig right-gled 5 Solve trigles - It is siple ver iportt - Ivestigte It is ver iportt to be ble effect to to be red ble f d to vlues q o red f fro grph vlues fro grph 7 Trigooetr trigooetric grphs - Ivestigte equtios grph effect d q o grph 7 Trigooetr grphs for gles, betwee d 0 0 d, d Ivestigte effect d q o grph t 90 0 for 0 60 t 6 for Solve 0 two-diesiol 60 q d q probles d ivolvig rightgled qtrigles for q for 0 7 Trigooetr 60 grphs 0 60 Mid-er Mid-er = θ, eitios eitios sset Ter : = θ d Ter : = t θ for ssiget / test t lest 50 rks Note tht weight test is equl to weight ssiget t / test t lest 50 rks Note tht weight 0 θ 60 test is equl to weight ssiget id-er eitio t lest 00 rks eitio t lest 00 rks e pper hours 00 rks or Two ppers = - oe, θ + hour q d 50 rks d or, hour 50 rks r hours 00 rks or Two ppers - oe, hour 50 rks d or, hour 50 rks = θ + q for 0 θ 60 Mid-er Pge Pge 59 eitios Assesset Ter : Assiget / test t lest 50 rks Note tht weight test is equl to weight ssiget Mid-er eitio t lest 00 rks Oe pper hours 00 rks or Two ppers - oe, hour 50 rks d or, hour 50 rks CAPS 7

30 l GRADE 0: GRADE TERM 0: TERM GRADE 0: TERM Weeks Weeks Topic Topic Curriculu Curriculu stteet stteet Clrifictio Clrifictio Weeks Topic Curriculu stteet Where eple is give, cogitive Clrifictio Where eple is give, cogitive ded ded is sugges is suggested: Where kowledge eple K, routie is give, procedure cogitive R, ded is sug kowledge K, routie procedure R, cople procedure C cople procedure kowledge CK, or proble-solvig routie procedure P R, cople procedu proble-solvig P Represet GRADE 0: geoetric TERM figures o Eple: proble-solvig P Represet Crtesi geoetric co-ordite figures sste o Cosider Eple: poits P ; 5 d Q- ; i Curriculu stteet Represet geoetric figures Appl for two poits ; o Crtesi Clrifictio ple Eple: R Crtesi co-ordite sste Cosider poits P ; 5 d Q- ; i Crtesi pl Crtesi Where co-ordite eple sste Appl for d ; two poits ; forule for is d give, Clculte cogitive GRADE 0: R TERM Cosider distce ded poits is suggested: P ; 5 d Q- ; i Crtesi Appl deteriig ; for kowledge two poits K, routie forule : for deteriig ; procedure : d PQ R, cople procedure C or Weeks Topic Curriculu stteet Clculte distce PQ Fid grdiet PQ Clrifictio ; distce proble-solvig P forule for deteriig : Clculte distce PQ betwee Fid grdiet PQ two poits; Fid Where id-poit Fid eple PQ grdiet is give, PQ cogitive ded is sug Represet geoetric Alticl figures o poits; Fid id-poit PQ Alticl distce grdiet Eple: betwee two poits; lie seget 4 Deterie kowledge Fid equtio K, id-poit routie PQ procedure PQ R, cople procedur Crtesi co-ordite Geoetr Alticl sste grdiet grdiet lie seget 4 Deterie equtio PQ Geoetr coectig Cosider two lie poits poits seget d P fro ; 5 d Q- proble-solvig 4 ; Deterie Crtesi P equtio ple PQ two poits Appl for two poits Geoetr ; d coectig tht d idetif R two poits d fro fro tht prllel idetif d prllel perpediculr Represet tht idetif geoetric prllel d lies; figures d ; o Eple: forule for deteriig : Clculte distce PQ coordites Crtesi perpediculr co-ordite Fid lies; id-poit sste grdiet PQ Cosider poits P ; 5 d Q- ; i Crtesi p distce betwee two poits; lie Appl coordites seget lie for seget joiig Fid two poits joiig id-poit two ; poits; d PQ R grdiet lie seget lie d ; two seget poits; d forule 4 Deterie joiig for deteriig two equtio poits; : PQ Clculte distce PQ coectig two poits d fro 4 d equtio stright lie psg Fid grdiet PQ tht idetif prllel d through psg 4 distce equtio through betwee two poits two poits stright two lie poits; psg Fid id-poit PQ perpediculr lies; Alticl grdiet lie seget through c two poits 4 Deterie equtio PQ coordites Geoetr id-poit coectig c two poits d fro Fuctiol ottio tht idetif Ivestigte prllel d Ivestigte w uique w output uique vlues output deped lie seget joiig two poits; vlues deped o how t Geerte Fuctiol grphs ottio b b es poitb-poit o how vlues iput Ivestigte vr vlues The vr w ters The uique idepedet ters idepedet output vlues deped o ho d iput d depedet o poit-b-poit perpediculr Geerte grphs plottig plottig lies; b es supported b iput poitb-poit vilble plottig supported id-poit useful b vribles ight be useful d vribles depedet vlues vr ight output The ters be useful vribles idepedet ight be iput d depede 4 equtio stright lie psg supported coordites vilble techolog through two poits techolog lie vilble seget techolog joiig 7 two poits; q Drw prbol for ol Use t 7 Drw prbol q for Drw = ± prbol ol Use for ol U c Fuctios Drwig d followig tble ethod ol ethod ol Fuctios ethod ol Fuctiol ottio fuctios: 4 equtio Ivestigte stright w uique lie Idetif psg output Idetif followig vlues chrcteristics: deped followig o chrcteristics: how iput d Idetif followig chrcteristics: Geerte grphs b d es poitb-poit plottig supported b vribles revise ight be useful * -itercepts Lier through vlues fuctio: two vr poits The ters idepedet iput d depedet * -itercept output Grphs c -itercept * -itercept Grphs * -itercepts vilble techolog Qudrtic: Fuctiol ottio 7 q Drw prbol -itercepts Ivestigte for w ol * uique turig output poits vlues deped o ho * Use turig tble poits Geerte grphs b es poitb-poit vlues vr The ters * es idepedet setr iput d depede Drwig ethod plottig followig ol supported fuctios: * es setr b vribles ight be * useful roots prbol -itercep Fuctios Hperbol: Drwig turig poits vilble Lier Idetif fuctio: = followig fuctios: techolog chrcteristics: c * roots prbol -iter Lier fuctio: 7 c es setr q* Drw doi prbol iput for vlues d ol rge U d * -itercept Epoetil: revise * doi iput vlues d r = b vlues Fuctios Grphs revise * -itercepts ethod ol vlues where b d b > 0 roots prbol -itercepts * turig Idetif poits followig chrcteristics: d * es setr doi iput vlues * d -itercept rge output Drwig followig Grphs fuctios: Note:, b, c,, p, q R * roots vlues prbol -itercepts * -itercepts Lier fuctio: c * doi iput vlues d rge * output turig poits revise = ± for prbol grphs ol Ver iportt to be ble * to es red f setr vlues vlues Drwig followig fuctios: fro grphs * roots Pge 59 prbol -iterc Lier fuctio: c Ivestigte effect * q o doi grph iput vlues d r revise vlues sptotes where pplicble NOTE: Use this pproch to egge with ll or grphs 8 CURRICULUM AND ASSESSMENT POLICY STATEMENT CAPS

31 GRADE 0: TERM Weeks Topic Curriculu stteet Clrifictio 4 Euclide Geoetr Revise bsic geoetr doe i Grdes 8 d 9 Lies d prllel lies, gles, trigles cogruec d siilrit Appl properties lie segets joiig id-poits two sides trigle Do prcticl probles Kow fetures followig specil qudrilterls: kite, prllelogr, rectgle, rhobus, squre d trpeziu ppl to prcticl probles 4 Pthgors ore Clculte ukow side right-gled trigle Where eple is give, cogitive ded is suggested: kowledge K, routie procedure R, cople procedure C or proble-solvig P No forl proves re required, ol clcultio ukows Kow properties followig kids trigles sclee isosceles trigle equigulr trigle Cogruec: Ivestigte coditios for two trigles to be cogruet: sides side, gle side gle, gle, correspodig side right gle, hpoteuse d side Siilrit: Ivestigte coditio for two trigles to be siilr: Give drwigs siilr trigles, write dow correspodig gles d clculte rtio correspodig sides Ivestigte: lie seget joiig id-poits two sides trigle is prllel to third side d hlf legth third side Ivestigte d ke cojectures bout properties sides, gles d digols se qudrilterls Clcultio oe ukow side right-gled trigle, ug Pthgors ore Assesset Ter : Two tests t lest 50 rks d hour coverig ll topics i pproitel rtio llocted techig tie CAPS 9

32 GRADE 0: TERM 4 GRADE 0: TERM 4 GRADE 0: TERM 4 Curriculu Weeks stteet Topic Curriculu stteet Clrifictio Clrifictio Curriculu stteet Where eple is give, Where cogitive Clrifictio eple ded is suggested: give, cogitive ded kowledge Where K, eple routie procedure is give, is suggested: R, cogitive cople kowledge ded procedure is K, suggested: C routie or procedure R, cople procedure C or proble-solvig P proble-solvig kowledge K, P routie procedure R, cople procedure C or Alticl Cotiutio proble-solvig fro ter GRADE P 0: TERM 4 Geoetr otiutio Topic fro ter Curriculu Defie stteet rdi Eple: K Clrifictio Cotiutio fro ter Idicte reltioship Where Revise eple circle is give, teriolog: cogitive chord, ded sect, is suggested: Eple: K betwee degrees d Defie rdi seget, sector, dieter, rdius, rc, etc rdis, Revise Eple: covert circle K kowledge K, routie procedure R, cople procedure C or rdis teriolog: chord, sect, seget, sector, Defie rdi Rediscover uique rtio betwee circuferece to degrees dieter, Revise or degrees rdius, circle rc, teriolog: proble-solvig to etc chord, sect, P seget, sector, d dieter represeted b π rdis, Rediscover covert dieter, uique degrees rdius, rtio rc, betwee etc circuferece d dieter Alticl Cotiutio fro d ter iutes represeted Rediscover to rdis b uique d rtio betwee Show circuferece tht circle d 60 dieter = π rdis d Geoetr rdis Show to represeted degrees tht d circle b 60 rdis cosequetl d cosequetl tht 60 = tht 6, 8 rdis d tht Idicte reltioship betwee iutes 60 Show 6,8 tht rdis circle Eple: d tht 60 K rdi rdi rdis 57, d cosequetl tht degrees Idicte d rdis, reltioship Defie covert betwee rdi Revise 60 degrees, 6,8 iutes rdis d d Revise secods tht circle Revise teriolog: degrees, 57, iutes chord, sect, seget, sector, d secods rdis degrees to degrees d rdis, or degrees covert to dieter, rdius, rc, etc Lerers Revise should degrees, kow iutes to covert d Lerers rdis secods to should degrees kow d to to covert rdis to rdis, rdis covert to degrees or d degrees to Rediscover uique rtio betwee circuferece d dieter covert Lerers degrees should to rdis kow to covert degrees rdis d to covert degrees degrees d to to rdis iutes rdis, to rdis covert d degrees rdis d to represeted b Eples covert should degrees iclude to rdis followig: Eples should iclude degrees iutes d iutes to rdis d rdis to Show tht circle 60 rdis d cosequetl tht covert degrees to rdis: ;, ; 00, covert '; 0,4'6 degrees " etc to rdis: degrees d iutes Idicte reltioship Eples betwee should iclude followig: 60 6,8rdis d tht rdi 57, covert covert rdis degrees to degrees: to rdis:,5 rd; 65,98 ;, rd; ; 00, 6,5 '; rd; 0,4'6 etc K " etc degrees d rdis, covert Revise degrees, iutes d secods rdis to degrees swers or covert degrees i degrees, rdis to iutes to degrees: d,5 covert secods rd; rdis 65,98 rd; to degrees: 6,5 rd;,5 etc rd; K 65,98 rd; Lerers Prcticl swers pplictio i degrees, i iutes 6,5 should techicl d field: secods rd; kow etc K to covert swers rdis i degrees, to degrees iutes d to rdis, covert degrees d covert Circles, - Prcticl Clculte pplictio gle i i rdis techicl d degrees secods to rdis iutes to rdis d rdis to through field: which pulle with gles d - dieter Clculte 0,6 Eples gle will rotte i Prcticl should rdis pplictio iclude if legth through belt which i followig: techicl 0 pulle with field: degrees d iutes Circles, covert degrees to rdis: ;, ; 00, '; 0,4'6" etc gulr psses dieter over pulle 0,6 will Clculte rotte if legth gle i belt rdis 0 gles d through which oveet - A rod psses wheel over with covert dieter pulle rdis to degrees:,5 rd; 65,98 rd; 6,5 rd; etc K pulle 560 with turs dieter through 0,6 gulr will rotte if gle - A rod 50 wheel swers Clculte with dieter i degrees, distce oved 560 iutes b turs d poit through secods oveet legth belt 0 psses over pulle o gle tre tred 50 Prcticl Clculte pplictio wheel distce i oved techicl b C poit field: Also esure o followig tre tred re covered - Clculte A wheel gle i rdis through rod : wheel with dieter R C which pulle with 560 turs Also esure - Add followig re covered dieter through : 0,6 will rotte if gle 50 Clculte R legth belt 0 rdis d covert to degrees - Add 4 psses over pulle rdis distce d covert oved to degrees b poit o tre tred 4 - A rod - Siplif: 90 0 wheel with dieter 560 turs through gle wheel C - Siplif: Also esure Clculte distce oved b poit o tre tred followig re wheel covered : R C Also esure Pge 5 59 Add π followig + π + π rdis re covered d covert : 4 Pge 5 to R 59 - Add degrees rdis d covert to degrees 4 - Siplif: 90 0 Clculte π + π 4 Pge 5 o Deterie vlue followig: 0,5 + 0,866 + t 0,577 swer i rdis 0 CURRICULUM AND ASSESSMENT POLICY STATEMENT CAPS

33 GRADE 0: TERM 4 - Clculte Weeks Topic Curriculu stteet Clrifictio - Clculte 4 i - - Clculte - Clculte 4 4 Where eple is - give, Deterie cogitive - vlue Deterie ded 4 followig: - Clculte 4 4vlue vlue followig: FINANCE, GROWTH AND DECAY is suggested: kowledge - - Deterie K, routie - 0,5 Deterie procedure R, vlue vlue 0, ,5 vlue t 0,577 followig: swer followi 0,866 t 0,866 t 0,577swer i rdis Use siple d copoud cople procedure C - or Deterie proble-solvig P Use siple d copoud 0,5 vlue 0,866 0,5 0,866 0,5 t t 0,866 0,577 followig: 0,577 swer t 0,577 i ri Use d Use d growth forule Use siple d copoud Use Use growth siple forule siple Use d d growth copoud siple A P forule d icopoud d A P i d 0,5 0,866 t 0,577growth/dec swer i A P i d A P i to solve forule A P i d A P i growth Use forule siple growth d Aforule Acopoud P P i A P i probles to solve icludig probles, i Ad d P i d P i to iterest, solve probles, hire purchse, probles icludig iterest, hire purch A A = growth P + i to Fice d icludig A P P forule i ia iterest, to to solve P solve A i ifltio, hire popultio purchse, growth d or rel life ifltio, popultio growth d or Fice d icludig probles, P to solve d probles, iterest, hire purchse, hire purchse, Fice probles probles Fice growth d d Fice icludig A d ifltio, P iterest, i icludig popultio to solve growth d or d ifltio, growth ifltio, hire hire iterest, probles, purchse, popultio hire purchse, growth d or popultio growth Fice growth d growth ifltio, icludig growth d or rel life popultio rel probles iterest, ifltio, life probles rel hire growth popultio Uderstd life purchse, probles d growth or or Uderstd d or growth rel Uderstd ifltio, rel iplictio life life probles popultio rel iplictio The life fluctutig iplictios Uderstd probles growth foreig Uderstd fluctutig or foreig The effect differet periods copo fluctutig iplictio rel echge life foreig probles iplictio rtes fluctutig echge eg echge Uderstd o rtes foreig fluctutig rtes petrol eg price, foreig o petrol price, growth d dec icludig effective rtes echge iplictio iports, eg rtes eports, echge rtes eg petrol fluctutig eg iports, overses o rtes price, o foreig eg eports, petrol trvel petrol o price, overses price, petrol trvel price, oil iterest rtes Revisio iports, echge Revisio eports, rtes iports, eg overses eports, o trvel petrol overses price, trvel Assesset Ter Revisio Assesset 4: Revisio trvel Ter iports, 4 ALGEBRA 4: eports, overses trvel Assesset Assesset Ter Ter Revisio 4: 4: Ter 4: Assesset Ter Assesset 4: Ter 4: Assesset Assesset Assesset Assesset Ter Ter Ter Ter 4: 4: 4: 4: Ter 4: Siplif epressios ug lws Appl lws epoets to epr Test Test t t lest lest Test rks rks t lest 50 rks epoets for itegrl epoets ivolvig rtiol epoets Assesset Test Test Eitio t t lest lest Ter Test rks t 4: Eitio lest 50 rks b Estblish betwee which two itegers b Add, subtrct, ultipl d divide si Eitio Test Pper t : : lest Eitio hours 50 rks Pper 00 rks : hours de 00 up rks s follows: give de siple 60 up s surd o follows: lgebric lies 60 epressios, lgebric equtios, epressios, iequlities surds equtios, d iequlities epoets, d 5 ep qulities d Pper epoets, Eitio Pper fuctios : : hours Pper hours 5 d 00 : o 00 grphs fuctios rks hours rks trig de 00 de d fuctios rks up grphs up s de s follows: will c trig Roud be up fuctios 60 eied s 60 rel follows: ubers o will lgebric i 60 be pper to eied o epressios, pproprite lgebric d 5 i pper epressios, equtios, fice d 5 iequlities equtios, d c growth Deostrte fice iequlities d d epoets, d growth uderstdig epoets 5 5 th rowth o Pper growth fuctios : : o hours d fuctios d grphs 00 Pper 00 rks trig d : trig grphs hours fuctios de 00 up trig up s will rks s fuctios follows: will be be degree eied de 60 will 40 up ccurc be s o i o eied follows: pper lgebric trigooetr, pper to 40 d give i epressios, d pper 5 uber 5 trigooetr, d fice equtios, 5 Alticl d 5 d iequlities fice growth Geoetr, defiitio Alticl d d growth 0 epoets, logrith Geoetr, Euclide d 5 0 lw o eoetr, 0 Pper o Pper Geoetr fuctios : Euclide : hours Pper hours d d 00 5 : o esurtio, circles, decil gles digits d gulr oveet eeded to solve rel life probles Geoetr grphs 00 rks hours rks trig de 00 d de fuctios 5 rks up up s o de s follows: will esurtio, be up eied 40 s 40 follows: o circles, i trigooetr, pper 40 gles d trigooetr, d 5 gulr 5 o Alticl oveet fice 5 d o Geoetr, Alticl growth 0 Geoetr, 0 o Euclide 0 o Eucl Geoetr Pper Euclide : d Geoetr hours d o d rks esurtio, 5 de up esurtio, circles, s follows: d gles Revise gles circles, 40 scietific d d gulr o gles trigooetr, ottio oveet d gulr 5 oveet o Alticl Geoetr, 0 o Euclide Geoetr d 5 o esurtio, circles, gles d gulr oveet Mipulte lgebric epressios b: Revise fctoristio fro Grde 0 ultiplig bioil b trioil; fctorig coo fctor revisio; fctorig b groupig i pirs; fctorig trioils; fctorig differece two squres revisio; fctorig differece d sus two cubes; d siplifig, ddig, subtrctig, ultiplig d divisio lgebric frctios with uertors d deoitors liited to poloils covered i fctoristio Pge 6 59 CAPS

34 GRADE : TERM GRADE : GRADE TERM : TERM eeks eks Topic Curriculu stteet GRADE : TERM GRADE : TERM Clrifictio eks Weeks Weeks Topic Topic Topic Curriculu Curriculu Curriculu stteet stteet GRADE Clrifictio Clrifictio Where : TERM eple Clrifictio is give, cogitive ded is suggested: Topic Curriculu stteet Where kowledge Where Where eple eple K, routie eple is is give, give, Clrifictio procedure is give, cogitive cogitive R, cople cogitive ded ded procedure ded is suggested: is C suggeste Weeks Topic Curriculu stteet or Where kowledge is suggested: eple kowledge K, routie kowledge is give, K, procedure routie K, cogitive procedure Clrifictio routie R, cople ded procedure R, cople procedure is suggested: R, procedure C or C proble-solvig P kowledge proble-solvig cople proble-solvig Where K, procedure routie P eple procedure CP is give, or proble-solvig R, cople cogitive procedure ded P C is or suggeste Siplif epressios d proble-solvig kowledge P K, routie procedure R, cople procedure C Siplif epressios d solve Siplif epressios Siplif solve equtios epressios d solve ug d solve proble-solvig P equtios ug lws Eple: Without use clcultor, Siplif equtios epressios equtios lws ug epoets d ug lws solve for lws rtiol Eple: Eple: Without Without use epoets for rtiol epoets clcultor, use clcultor, where 9 equtios epoets ug epoets Siplif for rtiol epressios lws for epoets rtiol d epoets solve Eple: Deterie Without vlue use clcultor, 9 K K where Deterie vlue 9 epoets K where p p where equtios for rtiol ug epoets lws Eple: Deterie Without vlue use 9 clcultor, K q q p = p Siplif: R q where q epoets ; > 0 ; q > 0 Siplif: R R q q Deterie vlue p for rtiol epoets 9 K p ; 0 ; q 0 q q Add, ; subtrct, 0; q p 0 Revise Siplif: Grde Deterie 0 epoetil vlue equtios 9 R K p where ; 0ultipl ; q 0 d Revise Grde 0 0 epoetil equtios Add, q p Siplif: Revise Grde 0 epoetil R equtios q subtrct, p divide siple surds Add, subtrct, ; 0; ultipl ultipl 0 d divide 4 d divide 4 4 Revise Revise Revise ll Siplif: ll ll epoetil lws lws lws fro fro fro Grde Grde Grde R Add, q subtrct, q siple surds Solve epoetil p ; ultipl 0; q equtios 0 d divide Revise Grde 4 Revise 0 ll epoetil equtios lws fro Grde 0 Add, siple subtrct, surds siple ultipl surds d divide 4 Revise ll epoetil Revise Grde lws 0 fro epoetil Grde 0 equtios Solve epoetil equtios Eples should iclude but ot be liited to siple Solve surds epoetil Solve Add, subtrct, epoetil equtios ultipl equtios d divide Eples Eples 4 should Revise iclude ll should epoetil but iclude ot be but lws liited ot fro be to Grde liited 0 to Solve epoetil siple surds equtios Eples should iclude 6 but R ot be liited to Solve epoetil equtios Eples 9 should R iclude R R but ot be liited to 6 Epoets d Epoets d Epoets surds 5 65 surds d surds R 9 Epoets d R Epoets d surds C C surds Epoets d C 8 C surds C Solve: 5 5 Solve: C Solve: Solve: = 7 4 R Solve: R R Solve: 4 8 R R R R R 9 Prcticl eples 5 R fro techicl field ust be icluded eg 8 9 5Prcticl eples fro techicl field ust be icluded eg icluded Prcticl 8 R R eples fro techicl field ust be icluded eg Q 4 9 Prcticl The 8 forul eples 5 C 5 fro Q is give with Q 6 0 C d 4 The forul C V R techicl Q field ust be icluded 4 eg 9 Prcticl The forul is give with Q 60 C d V 00 voltq eples C V V fro is give techicl with Q field 60 ust C d be icluded 4 The forul C = is give with Q 60 C d V 00V volt 00 V volt Q 4 Deterie The C forul without C ug is clcultor give with Q R 60 C d V Deterie = 00 voltc V Deterie without C ug without clcultor ug clcultor R R V Deterie C 00 volt without ug clcultor R Lws logriths Epli reltioship betwee logs d epoets d show Lws logriths Lws Lws logriths Epli Deterie C reltioship without betwee ug clcultor logs d epoets R Epli reltioship betwee logs d epoets d show d show log Logriths log coversio fro log-for to epoetil for d vice vers Lws logriths Logriths log Epli coversio reltioship fro log-for betwee to logs epoetil d epoets for d show vice vers Logriths log log d show log log Applictio coversio lws fro fro logriths: log-for to to epoetil for d vice ver Lws logriths log log Applictio lws logriths: Logriths log log log coversio for fro log-for to epoetil for d vice vers log log d Applictio Epli vice vers reltioship lws betwee logriths: logs d epoets d show log Logriths log log log Pge log log Applictio Applictio coversio lws lws logriths: fro logriths: log-for to epoetil for d vice ver log Pge log log Applictio lws logriths: log = log log - Siplif without id Pge 7 o - log log log log - id log log - Siplif without id clcultor: log = log R log4 R R log log Siplif log log49 pplig lw: Siplif pplig lw: lw: log 4 4 log5 logc b c log b = log log c b b log0,0 c log log c Logriths logc R b b log log c log log 6 6 log0 log log log log R R c Solvig logrithic - Solvig logrithic equtios log 4 log 64 log 4 log 8 64 log 4 log Prove: 4 4 C C equtios log log Siplif: 5 5 log log to to 4 4 logs to Show Show pplictio logs logs to to to solve 5 to 5 5 = Solvig log log log equtios liited to to to followig: 4 4 log log 8 K K 4 log 8 = K log log + log log 900 = 900 log K K 4 K 4 4 log log 4 K log 4 K b 4 log + + log 4 = K Solve qudrtic equtios b b es - it it is is to to : : - - Whe it it epliig qudrtic forul it it is is iportt to to to to show Fctoristio where it it coes fro fro lthough lerers do do ot ot eed to to kow Qudrtic forul - pro to to it it CURRICULUM AND ASSESSMENT - POLICY Use - Use forul STATEMENT to to itroduce CAPS discriit d d how how it it Qudrtic iequlities iterpret - deteries b ture roots solutios grphicll - - Show b b es sketches how how discriit ffects Deterie ture roots d d - prbol to to to coditios for which roots - Lerers should ol be ble to ppl qudrtic forul d to to

35 GRADE : TERM Weeks Topic Curriculu stteet Clrifictio 4 Equtios Alticl Geoetr Solve qudrtic equtios b es : Fctoristio Qudrtic forul Qudrtic iequlities iterpret solutios grphicll Deterie ture roots d coditios for which roots re rel, o-rel, equl, uequl, rtiol d irrtiol 4 Equtios i two ukows, oe which is lier d or qudrtic 5 Word probles 6 Mipultig forule Mke vrible subject forul Revise to fid equtio lie through two give poits; Deterie: equtio lie through oe poit d prllel or perpediculr to give lie; d iclitio θ lie, where = t θ is grdiet lie d 0 θ 80 Where eple is give, cogitive ded is suggested: kowledge K, routie procedure R, cople procedure C or proble-solvig P Whe epliig qudrtic forul it is iportt to show where it coes fro lthough lerers do ot eed to kow pro Use forul to itroduce discriit d how it deteries ture roots Show b es sketches how discriit ffects prbol Lerers should ol be ble to ppl qudrtic forul d to derive fro b 4c ture roots Word probles should focus d be relted to techicl field d should iclude eples siilr to followig: eg The legth rectgle is 4 loger th bredth Deterie esureets rectgle if re equls 6 With ipultio forule fudetls chgig subject should be ephsized d cosolidted All relted forule fro techicl fields should be covered Revisio lier equtio fro Grde 0 Showig ifluece grdiet d cosequetl reltioship whe lies re prllel d perpediculr Eple: Give A ;4, B ;6 d C ; Deterie: Equtio lie psg through poit C d prllel to lie AC R Equtio lie psg through poit B d perpediculr to lie AC R 4 Eple: A ldder les gist stright lie wll defied b = Deterie legth ldder P 4 How fr it reches up wll d ldder s iclitio with floor C Assesset Ter : A ivestigtio or project iu oe project i er t lest 50 rks Test t lest 50 rks Mke sure ll topics re tested Cre eeds to be tke to sk questios o ll four cogitive levels: pproitel 0% kowledge, pproitel 5% routie procedures, 0% cople procedures d 5% proble-solvig CAPS

36 GRADE : TERM Weeks Topic Curriculu stteet Clrifictio GRADE : TERM Where eple is give, cogitive Weeks Topic Curriculu stteet ded is suggested: kowledge Clrifictio K, routie procedure Where R, eple cople is give, procedure cogitive C or ded is suggeste proble-solvig kowledge K, routie P procedure R, cople procedure C Revise effect Coet: proble-solvig P preters d q o grphs Revise is ot effect restricted to preters i grde Coet: Lerers should gi cidece d get d q o grphs grsp grphs fro tblig d dottig Ivestigte 7 8effect p o grphs Ivestigte fuctios effect defied p o b: d Lerers joiig poits should to gi drw cidece grphs d get grsp gr grphs fuctios ec = f = defied b: The fro should tblig uderstd dottig ifluece d joiig poits to drw th f + p p + q vribles q grphs o for d clculte criticl poits to drw grphs The should uderstd ifluece vribles o f b c The cocept sptotes should be cler for d clculte criticl poits to drw grphs Fuctios Fuctios q The The should cocept be ble sptotes deduce should be cler 4 d = + q equtios whe criticl poits re give The should be ble to deduce equtios whe cr 4 d for prbol grphs ol i grde 0 grphs 4 f b q, b 0 Alse ifortio fro grphs poits re give grphs 4 = f = b + q, grphs give d b Alse ifortio fro grphs grphs give 4 Euclide Geoetr cot b > 0 d ec b r + = r r = ± r r = + r r = r Accept results estblished i erlier grdes s ios d lso tht tget to circle is perpediculr to rdius, drw to poit cotct The ivestigte d ppl ores geoetr circles: The lie drw fro cetre circle perpediculr to chord bisects chord; The perpediculr bisector Coets: Pros ores d ir coverses will ot be eied But pros ores d ir coverses will pplied i solv riders The focus ll questios will be o pplictios d clcultio 4 CURRICULUM AND ASSESSMENT POLICY STATEMENT CAPS

37 GRADE : TERM Weeks Topic Curriculu stteet Clrifictio Euclide fro techicl 4 fields Geoetr Accept results estblished i erlier grdes s ios d lso tht tget to circle is perpediculr to rdius, drw to poit cotct The ivestigte d ppl ores geoetr circles: The lie drw fro cetre circle perpediculr to chord bisects chord; The perpediculr bisector chord psses through cetre circle; The gle subteded b chord rc t psses cetre through circle cetre is double circle; size gle circle; The subteded gle subteded b se b b rc rc t t t cetre circle circle o is is double se side size chord s cetre; gle subteded b b se rc t t Agles circle subteded o se b chord side chord circle, o se side s s cetre; chord, re equl; Agles subteded b b chord The opposite gles circle, o o se side chord, cclic qudrilterl re re equl; suppleetr; re equl; The opposite gles cclic Eterior gle cclic qud qudrilterl is equl to opposite re suppleetr; iterior Eterior gle; gle cclic qud is is equl to to Two opposite tgets iterior drw gle; to Two circle tgets fro drw se to to poit circle fro outside se poit circle outside re equl circle i re equl legth; i i legth; equl i legth; Rdius is is perpediculr is to to to tget; d d tget; d The The gle gle betwee tget to to circle tget d to chord circle drw d fro poit chord cotct drw fro is is equl poit to to gle cotct is equl to gle Where eple is give, cogitive ded is suggested: kowledge K, routie procedure R, cople procedure C or proble-solvig P Coets: Pros ores d ir coverses will ot be eied But pros ores d ir coverses will pplied i solvig riders The focus ll questios will be o pplictios d clcultios Mke use probles tke fro techicl fields chord psses through cetre The gle subteded b rc t cetre circle is double size Mke use probles tke Mke fro use techicl probles fields tke fr gle subteded b se rc t circle o se side chord s cetre; Agles subteded b chord circle, o se side chord, The opposite gles cclic qudrilterl re suppleetr; Eterior gle cclic qud is equl to opposite iterior gle; Two tgets drw to circle fro se poit outside circle re Rdius is perpediculr to The gle betwee tget to circle d chord drw fro poit cotct is equl to gle i i lterte seget i lterte seget i lterte seget Mid-er Mid-er Mid-er eitios eitios eitios Assesset Ter : : Assesset Ter : Assesset Ter : Assiget Assiget / / test / test t lest t lest 50 Assiget 50 rks 50 rks / test t lest 50 rks Mid-er Mid-er eitio t t lest Mid-er lest rks eitio rks t lest 00 rks Pper : : hours 00 rks Pper de : up up s hours s follows: 00 Geerl rks de lgebr up s 5 follows:,, equtios, Geerl lgebr iequlities 5 d, ture equtios, roots iequlities 40 d,, fu fu d ture roots grphs 40 5, fuctio d grphs 5 Pper : : hours 00 rks Pper de : up up s hours s follows: 00 Alticl rks de Geoetr up s follows: 40 Alticl d Euclide Geoetr Geoetr d Euclide Geoetr etr 60 CAPS Pge

38 GRADE : TERM Weeks Topic Curriculu stteet Clrifictio Circle + = r, with cetre 0;0 ol Agles d rcs Degrees d rdis Where eple is give, cogitive ded is suggested: kowledge K, routie procedure R, cople procedure C or proble-solvig P P ttetio to followig: dieter, rdius, chord, seget, rc,sect, tget If poit o circuferece is give, how to deterie r d equtio circle? Wht is rc, cetrl gle, iscribed gle? A rdi is gle t cetre circle subteded b rc se legth s rdius Coplete revolutio: 60 0 = π rdis; 80 0 = π rdis If rc legth s is itercepted b cetrl gle i rdis gle subteded will be equl to rc divided b rdius θ = If s = r = rdi Covert degrees to rdis d vice vers r s Covert rdis to degrees 4 Circles, gles d gulr oveet 4 Sectors d segets πrd = 80 rd = rd = 80 π 80 π = 4,59 0 Covert 5,6 0 to rdis Agulr d circuferetil/peripherl velocit Agulr Agulr d d circuferetil/peripherl circuferetil/peripherl velocit velocit = π rd 80 5,6 0 5,6 0 = = 5 5,6,6 5,6 0 = = = 0, 98 0, 98 rd rd A sector circle is ple = 0, figure 98 bouded rd b rc d tw A sector rdii sector circle circle is is ple ple figure figure bouded bouded b b rc d two rdii rc d two rdii re sector = rs r re r = rdius; s = rc legth d Are sector = rs r r = rdius; s = rc legth d s = rc legth d θ = = cetrl cetrl gle gle i i rdis rdis = cetrl gle i rdis A seget circle is re bouded b - A rc - seget A d seget chord circle circle is is re re bouded bouded b b rc rc d d chord cho The The reltio reltio betwee betwee dieter dieter circle, circle, The chord d th chord reltio height d betwee height seget dieter fored seget b fored circle, chord, b chord d height c be set out i chord, c seget be set out fored i b forul chord, c be set out i th forul forul h 4dh h 4dh 0 ; 0 h ; = h height = height seget; seget; d = d dieter = dieter cir h = h legth = legth chord chord Agulr Agulr velocit velocit oeg oeg c c be be deteried deteried b b ultiplig ultiplig th rdis rdis i i oe oe revolutio revolutio with with revolutios revolutios per per secod seco = = Circuferetil Circuferetil velocit velocit is is lier lier velocit velocit poit poit o o circuferece circuferece 6 CURRICULUM AND ASSESSMENT POLICY STATEMENT v v D D with D dieter, is rottio frequec CAPS with D dieter, is rottio frequec Revise Revise trig trig rtios rtios i i solvig solvig Coet: Coet: right-gle right-gle trigle trigle i i ll ll 4 qudrts 4 qudrts Grde 0 No pros e, ie d re rules re required

39 rdii = 0, 98 rd A sector re sector = rs rcircle is ple figure bouded b rc rdii r = rdius; s = rc legth d re = cetrl sector gle = rs i r rdis r = rdius; s = rc legt Agulr d GRADE : TERM Weeks Topic circuferetil/peripherl Curriculu stteet velocit - A seget circle Clrifictio = cetrl gle i rdis is re bouded b rc d chord Agulr d Where The reltio eple betwee is give, dieter cogitive circle, ded chord d circuferetil/peripherl velocit is suggested: - A kowledge seget K, circle routie is procedure re bouded b rc d height seget fored b chord, c be set out i R, cople procedure C or proble-solvig P forul The reltio betwee dieter circle, chord h 4dh height 0 ; h = height seget seget; fored b d = dieter chord, c circle; be set h d = legth dieter forul chord circle; h = legth chord Agulr velocit h 4oeg dh ωc 0 ; h be = deteried height seget; b d = diet Agulr velocit oeg c be deteried b ultiplig rdis ultiplig i oe h = revolutio rdis legth i chord oe revolutio with revolutios π with per secod revolutios = 60 Agulr 0 per secod velocit oeg c be deteried b ult ωcircuferetil = π = 60 rdis 0 velocit i oe is revolutio lier velocit with poit revolutios o pe Circuferetil circuferece velocit = is 60 0 lier velocit poit o circuferece Circuferetil velocit is lier velocit poit v = v π D D with with circuferece D D dieter, is is rottio rottio frequec frequec Revise trig Revise rtios i trig solvig rtios i Coet: Coet: v D with D dieter, is rottio frequ solvig right-gle right-gle trigle i ll 4 qudrts trigle i ll 4 qudrts No pros e, ie d re rules re Grde 0 Revise trig rtios i solvig No pros Coet: e, ie d re rules re required Grde 0 required Appl e, right-gle Appl ie d e, trigle re ie rules i ll d 4 qudrts Appl ol with ctul ctul ubers, ubers, o o vribles vribles Solve probles Grde re i rules two 0 diesios Acute- d obtuse-gled No pros trigles e, ie d re rules re required Trigooetr ug e, Appl Solve ie probles d e, re ie two rules d re rules Appl ol with ctul ubers, o vribles 4 Drw grphs Solve diesios probles fuctios ug two e, diesios Lerers Acute- ust d be obtuse-gled ble to drw ll trigles etioed 4 Trigooetr defied b ug ie d e, re ie rulesd re - Lerers rules grphs ust d be ble lso to be drw ble ll to deduct etioed iportt grphs d lso be ble k 4 4, Drw k grphs, fuctios to deduct ifortio iportt fro ifortio give sketches fro give sketches fuctios defied b k defied, b k Oe - preter Lerers ust should be be ble tested to drw t ll give etioed tie grphs d d t = k,, = k,, - Oe preter whe to eiig deduct should iportt be horizotl tested ifortio shifts give tie fro whe give eiig sketches k,, k Rottig vectors should be doe o grph pper Pge 4 d = t Deterie - Oe preter solutios should equtios be tested for t give tie whe e 4 Trigooetr 5 Drw grphs θ [ 0 ;60 ] fuctios defied b Liited to routie procedures = + p d Reductio forule, 80 ± θ d 60 ± θ = + p 6 Rottig vectors Eples relted to use idetities liited is ot restricted to i grde Developig e d to routie procedures ie 7curve 8 7 Trigooetric equtios 8 Itroduce idetities d ec θ ppl t θ =, θ θ + θ =, for prbol grphs ol i grde 0 + t θ = sec θ d cot ec CAPS 7

40 GRADE : TERM Weeks Topic Curriculu stteet Clrifictio Where eple is give, cogitive ded is suggested: kowledge K, routie procedure R, cople procedure C or proble-solvig P FINANCE, GROWTH AND DECAY Use siple d Eples: copoud Use dec siple d copoud The growth vlue forule piece equipet Use siple deprecites d copoud fro growth/dec R0 forule: A P i d A P i 000 to R5 000 i four ers Wht is rte to solve forule A P i d A P i deprecitio if clculted o : probles icludig iterest, hire purchse, probles icludig iterest, hire purch d A = P i to solve stright lie ethod?; d R ifltio, popultio growth d or rel life ifltio, popultio growth d or r probles icludig stright reducig blce? C probles probles lie deprecitio d Which is better ivestet over er or deprecitio o reducig loger: 0,5% p copouded dil or 0,55% blce The iplictios fluctutig p copouded foreig othl? R The effect differet periods copo echge rtes growth d dec icludig effective oil iterest rtes The effect differet periods copoud growth d dec, Coets: The use tielie to solve probles is useful techique Fice, icludig oil d growth 4 ALGEBRA effective iterest rtes d dec R is ivested i ccout which fers Siplif epressios ug lws Appl lws epoets to epre 8% p iterest copouded qurterl for first epoets for itegrl 8 epoets oths The iterest chges ivolvig to 6% rtiol p epoets b Estblish betwee which copouded two itegers othl Two ers b Add, fter subtrct, oe ultipl is d divide si give siple surd lies ivested, R0 000 is withdrw How surds uch will be c Roud rel ubers to i pproprite ccout fter 4 ers? C c Deostrte uderstdig th degree ccurc to give uber defiitio logrith d lw decil digits Coet: eeded to solve rel life probles d Revise scietific ottio Stress iportce ot workig with rouded swers, but ug iu ccurc fforded Mipulte lgebric b epressios clcultor b: right to fil Revise swer fctoristio whe fro Grde 0 ultiplig bioil roudig b trioil; ight be pproprite Mid-er fctorig coo fctor revisio; eitios fctorig b groupig i pirs; fctorig trioils; Assesset Ter : fctorig differece two squres Two tests t lest 50 rks per test d hour coverig ll topics i pproitel rtio llocted revisio; techig tie fctorig differece d sus two cubes; d siplifig, ddig, subtrctig, ultiplig d divisio lgebric frctios with uertors d deoitors liited to poloils covered i fctoristio 8 CURRICULUM AND ASSESSMENT POLICY STATEMENT CAPS

41 GRADE GRADE : TERM : : TERM 44 GRADE : TERM 4 GRADE : TERM 4 Weeks Weeks Topic Topic Curriculu Curriculu stteet stteet Clrifictio Clrifictio Weeks Topic Weeks Curriculu Topic stteet Curriculu stteet Where Where eple eple is give, is is give, Clrifictio cogitive cogitive ded de C is s Clrifictio Where GRADE : TERM 4 kowledge kowledge eple K, routie K, is give, routie Where procedure procedure cogitive eple R, cople R, ded is cople give, is su th t proced give, cogitive ded is suggested: kowledge proble-solvig proble-solvig K, routie P P procedure kowledge R, K, cople routie proced e procedure R, Weeks cople procedure Topic C or Curriculu stteet proble-solvig Clrifictio P proble-solvig P Where eple is give, cogitive ded is suggested: kowledge K, routie procedure R, Surfce Surfce re d re volue d volue cople right right procedure Surfce Surfce C or Are proble-solvig Are re = = re bse P bse circuferece + + circufere Surfce priss, priss, re d cliders, cliders, volue prids, prids, Surfce right re coes coes d volue Surfce for closed for Are right closed right-gled = right-gled re Surfce bse pris pris + Are circuferece = re b re bse + circuferece bse height Surfce priss, re d volue Surfce Are = re bse + circuferece right d priss, spheres, d cliders, spheres, prids, cliders, d cobitios d cobitios priss, coes cliders, for prids, closed Surfce Surfce coes right-gled Are Are re = = re pris for bse bse closed circuferece + + circuferece right-gled pris bseo gled pris d spheres, bse heightfor closed right-gled pris prids, se coes geoetric se geoetric d cobitios d objects objects d spheres, d Surfce cobitios for ope for Are right ope = re gled gled bse Surfce + pris pris circuferece Are = re bse bse + circuferece bse height se geoetric objects se Surfce geoetric Are objects = for re ope bse + circuferece spheres, d cobitios bse height Volue Volue right for ope re = gled right = re gled bse pris pris bse for ope height height right gled pris ed pris Volue = re bse Volue height = re bse heh se geoetric objects se height Volue = re bse height Mesurtio Mesurtio The effect The effect The volue effect volue o o volue d surfce d surfce Wht is Wht effect is is effect if soe if if soe esureets esuree Mesurtio Mesurtio The effect re Mesurtio d surfce re whe re o ultiplig whe volue ultiplig d The surfce effect Wht o volue Wht d is is effect fctor if soe fctor surfce k? effect k? k? if soe Wht is esureets effect if soe re o esureets re f soe esureets re ultiplied ultiplig b re whe diesio diesio ultiplig b fctor b b fctor k re k k whe ultiplig fctor k? fctor k? ultiplied b fctor k? b fctor diesio k b fctor k diesio Ug b id-ordite fctor k rule: Deterie Deterie re re irregulr Ug id-ordite rule: Deterie re irregulr Ug id-ordite rule: Deterie irregulr figure figure figure ug ug id-ordite ug re ordite rule A T = rule o o id-ordite irregulr rule A T = rule Ug id-ordite rule: Deterie re irregulr Ug id-ordite rule where te rule: T A T T = = where figure ug id-ordite where figure rule ug id-ordite A where o o T = o + o = etc d etc d uber = = uber ordites ordites where etc d = uber ordites etc d = uber ord r ordites etc d = uber ordites Revisio Revisio Revisio Eitios Eitios Revisio Assesset Assesset Eitios Ter 4: Ter 4: 4: Eitios Assesset Ter 4: 4: Assesset Ter 4: Test Test t t lest Test lest t 50 t 50 lest rks rks Test Eitio t Eitio lest 50 rks rks 00 rks Test t lest 50 rks Eitio Pper Pper : hours : : hours rks rks 50 rks de Eitio de up s follows: up up 00 s s follows: rks o lgebric o o lgebric epressios, epressios, equtios, equtios, iequlities iequlities d ture d ture roots, roo Pper : hours 50 rks de up s follows: 90 o lgebric epressios, equtios, iequlities d ture roots, ture 45 roots, 45 o 45 fuctios Pper fuctios : hours d grphs d grphs 50 rks ecludig ecludig de trigooetric trigooetric up s follows: fuctios fuctios 90 d 5 d lgebric 5 o 5 fice epressios, o fice growth growth equtios, d dec d iequlitie dec qulities d d ture dec 45 o fuctios d grphs ecludig trigooetric fuctios d 5 fice growth d dec Pper Pper : roots, hours : : hours 50 rks 50 rks de 45 de up o s follows: up up fuctios s s follows: d o 50 grphs trigooetr o ecludig trigooetr trigooetric icludig icludig fuctios trigooetric trigooetric d fuctios, fuctios, 5 o fice o Altic grow o o A ce growth d Pper dec : hours 50 rks de up s s follows: 50 o trigooetr icludig trigooetric fuctios, 5 Altic o Euclide o o Pper Euclide : hours Geoetr, Geoetr, 50 rks o de Mesurtio, up Mesurtio, s follows: circles, circles, 50 gles gles d o trigooetr gulr d gulr icludig oveet oveet trigooetric fucti ic fuctios, 5 40 o Alticl o Euclide Geoetr, Geoetr, 40 o 5Euclide o Mesurtio, Geoetr, 5 circles, o gles Mesurtio, d gulr circles, oveet gles d gulr oveet veet gulr oveet Pge CAPS 9

42 GRADE GRADE : : TERM TERM GRADE : TERM GRADE : TERM eeks GRADE : TERM eks eks Topic Topic Curriculu Curriculu stteet stteet Clrifictio Clrifictio Weeks Weeks Topic Curriculu Curriculu stteet stteet Clrifictio Clrifictio Where Where eple eple is is is give, give, cogitive cogitive ded ded is is is suggested: suggested: opic Curriculu stteet Where eple Where Clrifictio is give, eple is cogitive give, ded cogitive ded is sugg kowledge kowledge Where eple is GRADE suggested: is give, : K, K, kowledge TERM routie routie cogitive procedure procedure R, R, cople cople procedure procedure C C or or K, ded K, routie routie is procedure suggested: procedure R, R, cople procedur proble-solvig proble-solvig P P Weeks Topic Curriculu kowledge K, cople routie procedure proble-solvig R, C cople or proble-solvig P procedure CP or Defie Defie cople cople uber, uber, proble-solvig C,, stteet Clrifictio Defie cople uber, C P, : z bi bi Siplif Siplif : Where eple is give, cogitive ded is sug Defie cople uber, C, z bi Siplif : Lerers Lerers should should kow: kow: GRADE : TERM kowledge K, routie procedure R, cople procedu z bi Lerers should Siplif kow: : eeks Topic - Curriculu cojugte cojugte stteet z bi bi proble-solvig P Lerers should kow: - cojugte z bi R R Clrifictio cojugte Defie cople i uber, C, 6 4 R - cojugte - igir igir z - bi ubers, ubers, i igir ubers, 6 z bi i 4 Where 6 6 eple R Siplif 5 is give, 6 : K K cogitive ded is suggested: - how how to to 5 K dd, dd, subtrct, subtrct, divide divide d d kowledge - igir ubers, i - Lerers igir how to should dd, ubers, subtrct, 6 kow: 5divide d K, routie procedure R, cople procedure C or K Cople Cople ultipl ultipl cople cople ubers ubers how Cople to dd, subtrct, divide ultipl d cople ubers 4 proble-solvig R - i = cojugte P z bi ple ultipl ubers cople ubers 4 R R 6 R ubers ubers - represet represet cople cople ubers ubers i i 6 Defie cople uber, C, 4 R - represet cople ubers i R 6 - how igir ubers, bers - represet cople ubers i Argd digr 6 i i i i Argd Argd digr digr to dd, subtrct, i + i 4 5 i 6 i i K K z bi Siplif : 5 5i K K - how divide i i d to dd, subtrct, divide d Argd - digr rguet rguet z 4 ultipl 5 5 i i 5 i i K Lerers should kow: 5i K K - rguet z 5 i i K Cople ultipl cople ubers 4 cople ubers R - rguet ubers - z trigooetric trigooetric cojugte polr polr z - trigooetric 5 for for bi polr i i for K ubers - cople ubers i R represet cople cople cople ubers ubers Solve Solve for for d d : - igir ubers, i : - trigooetric polr for ubers cople ubers Solve for d Argd i digr Argd i 4 i i 5: i K Solve Solve equtios equtios with with cople cople cople ubers Solve equtios Solve with for cople d 6 6 : i 5 5 i i K R R R - how to dd, subtrct, divide d - digr rguet z i i 5i R K Cople ubers ubers ultipl with with cople two two vribles vribles ubers 4 R Solve equtios with cople ubers - rguet trigooetric with 6 two z vribles 5 polr i for 5i R ubers ubers with Fctorise Fctorise - represet two vribles third-degree third-degree cople poloils poloils ubers i Revise Revise fuctiol fuctiol 6 ottio ottio Fctorise trigooetric cople third-degree ubers polr poloils Revise Solve for fuctiol d ottio : Appl Appl Reider Reider Argd digr d d Fctor Fctor it Fctorise third-degree poloils Appl Solve for Reider equtios cople Revise with d fuctiol Fctor cople ottio A 6 ethod 5i be 5iused to fctorise R A A 4 ethod ethod i i 5 be be i used used to to K fctorise fctorise third third degree degree poloils poloils but but it it third degree polo Poloils Poloils Theores Theores - rguet to to poloils poloils z third third Appl Reider d Fctor Poloils Theores ubers to poloils with A ethod two vribles should should 5 third be used iclude iclude i i to should fctorise eples eples iclude third which which K eples degree require require poloils Fctor Fctor which require but Theore Theore degree degree - o o trigooetric pros pros re re required required polr for it Fctor Theore oils Theores to poloils degree Fctorise Solve third o equtios third-degree pros should re with required iclude poloils Eple: Eple: Log Log divisio divisio cople ethod ethod ubers c c lso lso be be used used eples Solve for which d Eple: Revise require : fuctiol Fctor ottio Theore degree o pros re required Log Appl cople divisio Reider ubers ethod with c lso be used Eple: d Fctor : Log divisio ethod c lso be used Solve A ethod for : 8 be Solve Solve for for : used 7 to 0 fctorise 0 R third degree pol two vribles Poloils Theores to poloils A ituitive uderstdig Solve for : 0 R R Solve equtios with cople 6 5i 5i R A A ubers ituitive ituitive with uderstdig uderstdig two vribles liit liit Coet: Coet: third 8 liit 7 Coet: 0 should 0 iclude R eples which require Fctor Theor degree o pros cocept, cocept, Fctorise i i cotet cotet third-degree re required Revise fuctiol ottio A ituitive uderstdig Fctorise Log cocept, divisio liit i ethod Coet: cotet c Differetitio Differetitio Eple: fro fro first first priciples priciples will will be be eied eied o o pproitig pproitig poloils third-degree rte rte Appl poloils Revise A ethod fuctiol lso be used Differetitio be ottio used to fro fctorise first priciples third degree chge chge or or will be eied o Appl cocept, i cotet Reider pproitig d d Fctor Differetitio rte chge tpes tpes fro A poloils ethod first described described or but priciples tpes Solve i it be described for will used : to eied fctorise 8 7 o third 0 degree 0 poloils R but it grdiet grdiet fuctio fuctio t t poit poit Theores to poloils pproitig rte chge grdiet A ituitive or tpes uderstdig fuctio described t poit Uderstd Uderstd should iclude Deterie verge grdiet liit tht tht eples Uderstd Coet: followig followig which ottios ottios require e e Fctor se se Poloils Theores to poloils third Poloils Deterie verge grdiet should iclude eples which require Fctor Theore tht followig ottios e se grdiet degree fuctio o t pros third degree poit re required o pros re Theore Deterie cocept, verge grdiet Uderstd cotet tht, followig curve curve betwee betwee two two poits poits, d required Eple: D, f ' Differetitio ottios e se Deterie verge grdiet curve betwee two poits D, d fro first priciples will be eied o pproitig, f ' ' Log divisio ethod c lso be used, f ' f f curve betwee two poits D, d rte chge d d or tpes f h f ddescribed i Log divisio ethod c lso Solve for : be used f h f, f ' h 0 R grdiet fuctio d t poit f h A ituitive f h Uderstd tht followig ottios e se uderstdig Deterie liit verge grdiet Deterie Deterie grdiet grdiet tget tget Eples: Eples: Coet: h cocept, i Deterie cotet tget Eples: curve is betwee two poits D, d to to grph, grph, which which is is lso lso, f ' Deterie grdiet tget to grph, which Eples: grdiet grdiet Differetitio fro first priciples will be eied o pproitig rte chge f h f is lso or tpes grdiet described i d Pge Pge 4 to grph, which grdiet is lso grdiet fuctio t poit h Uderstd tht followig ottios e se Deterie verge grdiet Pge Deterie grdiet tget Eples: curve betwee two poits D, d to grph, which is lso grdiet, f ' d f h f h Deterie grdiet tget Eples: to grph, which is lso grdiet Pge 40 CURRICULUM AND ASSESSMENT POLICY STATEMENT CAPS

43 - trigooetric polr for cople ubers Solve for d : Solve equtios with cople 6 5i 5i R ubers with two vribles Fctorise third-degree poloils Revise fuctiol ottio Appl Reider d Fctor GRADE : A TERM ethod be used to fctorise third degree poloils but it Poloils Theores to poloils third Weeks Topic Curriculu stteet should iclude eples Clrifictio which require Fctor Theore degree o pros re required Eple: Log divisio ethod c lso be used Where eple is give, cogitive ded Solve is suggested: for : kowledge 8 7 K, 0 routie 0 R procedure R, cople procedure C or proble-solvig P A ituitive grph uderstdig t tht poit liit Coet: I ech followig cses, fid derivtive f t Itroduce A ituitive uderstdig Coet: cocept, i liit-priciple cotet b liit cocept, i Differetitio Differetitio poit where fro fro first first, priciples ug priciples defiitio will will be be eied eied derivtive: o o shiftig pproitig sect util rte it becoes chge or cotet pproitig tpes described tpes i described i tget f R grdiet rte fuctio chge t or poit grdiet Uderstd tht followig ottios e se se 6 Differetil Deterie fuctio verge t grdiet poit f R Clculus 4 curve B ug betwee first Deterie pricipls two poits verge D, d, f ' d f grdiet h f f h fcurve f ' li for betwee two poits Eples: h 0 h h Deterie grdiet tget Eples: I ech followig cses, fid derivtive f k, f d f + h f to f grph, which b= is lso grdiet f t poit where =, ug defiitio h derivtive: Pge 5 Use rule Deterie d grdiet for grph t tht poit tget d to grph, which f = I ech R followig cses, fid t R grph is t lso tht grph poit grdiet t tht poit Itroduce I ech liit-priciple I ech followig b followig cses, cses, fid poit fid derivtive where derivtive f, ug f t t defi Itroduce grph Itroduce liit-priciple t tht liit-priciple poit b Itroduce shiftig sect f util = it becoes + R b poit where shiftig liit-priciple sect util b shiftig poit where, ug, ug defiitio defiitio derivtive: shiftig sect util it becoes tget Sketch grph defied b f 4 b: R 6 Fid equtios tgets to grphs it becoes Sketch grph defied b = + b: tget 6 fuctios tget Differetil sect util it becoes f fidig f itercepts with R f es; R 6 Differetil tget Differetil Clculus 4 B ug first pricipls f Clculus 4 4 B ug ug first first pricipls pricipls for f fidig i, ii R R C C Clculus 4 7 B Sketch ug grphs first pricipls cubic poloil f h f f ' li for f h f ' h li f h 0 h f ' li for O word probles digr with ll fuctios ug differetitio to 0 for O h esureets word probles ust be digr give Guide with ll lerers esureets ust be deterie h 0 co-ordite h f kgive, f d f k, f d through Guide questio lerers with through subsectios questio with subsectios fsttior k, poits f Also, d deterie f b f b Refer to displceet forule like s u t f - itercepts 5 b grph ug Use rule 5 Use rule d 5 Use rule d for fctor ore for 5 Use rule d d or d d Ver siple probles techiques for d R for R Ver Refer siple to prcticl probles pplictio i techicl field R 6 Fid equtios tgets Refer to prcticl pplictio i techicl field Sketch grph defied b Sketch 4 grph b: defied b 8 Solve prcticl 6 Fid to grphs equtios probles fuctios cocerig tgets 6 Fid to equtios grphs tgets to grphs fuctios Sketch grph fidig defied itercepts b with 4 es; b: 6 Fid optiistio equtios 7 Sketch d tgets rtes grphs to chge, cubic grphs fuctios fidig itercepts with icludig fuctios clculus poloil otio fuctios ug fidig fidig itercepts i, ii with es; fidig C i, ii 7 Sketch differetitio grphs to cubic deterie 7 poloil Sketch grphs fidig cubic i, poloil ii C fuctios co-ordite ug differetitio sttior to sesset Ter : O word probles digr with ll esureets ust be 7 Sketch grphs deterie cubic poloil fuctios ug differetitio to O word probles digr with ll poits Also, co-ordite deterie give Guide lerers through questio with subsectios fuctios ug sttior differetitio poits Also, to deterie deterie O word co-ordite probles Test t lest 50 rks digr with give ll Guide esureets lerers through Refer to displceet forule like s u ust be q - itercepts grph deterie t co-ordite - itercepts sttior grph ug give poits Guide Also, deterie Ivestigtio or project ug fctor ore lerers through Refer questio to displceet with subsectios forule like s sttior poits d fctor or Also, ore techiques deterie d or - itercepts grph ug Test t lest 50 rks or Assiget t lest 50 rks - itercepts techiques Refer to grph ug Ver displceet siple probles forule like s u fctor ore d or t 8 Solve prcticl probles fctor ore cocerig d or optiistio techiques d Refer to prcticl pplictio Ver i siple techicl probles field techiques 8 Solve rtes prcticl chge, probles icludig cocerig Ver siple probles Refer to prcticl pplictio i tech Differetil optiistio clculus otio d rtes 8 Solve chge, prcticl Refer to probles prcticl pplictio cocerig i techicl field 6 Clculus icludig clculus otio 8 Solve prcticl probles cocerig optiistio d rtes chge, Pge 4 Assesset Ter Assesset Ter : optiistio : d rtes chge, icludig clculus otio Test t lest 50 rks icludig clculus otio Test Ivestigtio t lest 50 rks Assesset or project Ter : Ivestigtio Test t lest or project 50 rks or Assiget t lest 50 rks sset Ter Test : t lest 50 rks Test or t Assiget lest 50 rks t lest 50 rks est t lest 50 rks Ivestigtio or project vestigtio or project Test t lest 50 rks or Assiget t lest 50 rks est t lest 50 rks or Assiget t lest 50 rks Pge 48 Pge 48 CAPS 4

44 GRADE : TERM eeks Weeks Topic Topic Curriculu Curriculu stteet GRADE : TERM stteet Clrifictio Clrifictio Topic Curriculu stteet Where Where GRADE eple eple : TERM Clrifictio is is give, give, cogitive ded is suggested: is suggested: kowledge K, routie procedure R, Weeks Topic Curriculu Where stteet eple kowledge is give, K, routie cogitive procedure ded R, cople is suggested: procedure C or Clrifictio cople GRADE : TERM C kowledge K, proble-solvig routie procedure P or proble-solvig P Where R, eple cople is procedure give, C cogitive or ded is s Weeks Itroduce Topic itegrtio Itroduce itegrtio Curriculu proble-solvig stteet Eples P kowledge K, routie procedure Clrifictio R, cople proced Itroduce itegrtio Uderstd Uderstd cocept Eples cocept Clculte Where proble-solvig vlues eple P is give, cogitive ded is s Uderstd itegrtio cocept itegrtio s Itroduce sutio itegrtio Clculte fuctio Eples kowledge K, routie procedure R, cople proced vlues s sutio fuctio defiite d K 0 itegrtio defiite Uderstd itegrl cocept proble-solvig P itegrl d Clculte vlues Itroduce s coverse d itegrtio s coverse itegrtio s sutio fuctio defiite d K 0 Eples d differetitio s sutio idefiite fuctio defiite R itegrl d differetitio s coverse idefiite Uderstd itegrl cocept Clculte d K 0 vlues Appl stdrd fors itegrl itegrtio itegrls s d R differetitio idefiite itegrl d s coverse coverse differetitio Deterie Appl differetitio stdrd fors idefiite d R s sutio fuctio defiite Deterie re icluded re 0 icluded d b b curve curve = K + Appl stdrd fors itegrls s d d itegrl -is C Itegrte itegrls followig Appl itegrl stdrd s fuctios: coverse s fors coverse itegrls coverse differetitio Deterie is re s C icluded b curve d d - R Itegrte k followig, R fuctios: with differetitio coverse differetitio idefiite itegrl Deterie re icluded b is C curve Itegrtio k, Itegrte followig R with k d k Appl fuctios: Itegrte stdrd followig fors fuctios: itegrls s with 0, k, R is C Itegrtio coverse differetitio Deterie re icluded b curve k, R k d k 4 Itegrte with poloils 0, k, R Itegrte with followig fuctios: cosistig Itegrtio k is C d 4 Itegrte poloils ters cosistig bove k k 0, k, R, fors R with d ters Itegrtio bove fors 4 Itegrte k d poloils cosistig d 5 Appl itegrtio k 0, k, R ters to deterie with 0 bove fors d 5 Appl itegrtio gitude to deterie 4 Itegrte re 0, icluded k poloils, Rb cosistig 0 gitude curve re d 4 icluded Itegrte -is 5 ters Appl b or poloils itegrtio b bove curve, to fors deterie d 0 curve d -is -is or d b cosistig ters gitude curve, ordites re icluded b -is d d ordites b where 5 bove curve Appl fors, b d itegrtio Z d -is to or deterie b curve, 0 d b where, gitude -is d re ordites icluded b 5 b Z Appl itegrtio to deterie curve d The equtio -is or b curve, d br where gitude defies, b Z Eples: re -is icluded d ordites The equtio circle with rdius r defies r d cetre Eples: 0; 0 b d curve b d where, b Z Deterie Fid equtio -is The or equtio b circle curve, whe r defies Eples: equtio circle psg through poit circle with rdius r d cetre 0; 0 Deterie 4 with equtio cetre t circle origi psg through poit ; R Fid equtio rdius is -is circle give circle whe d or with poit rdius ordites o r d cetre 0; 0 The equtio 4 with cetre r defies Hece t deterie origi Eples: Alticl circle is give Deterie equtio equtio tget to circle R psg circle t throu rdius is give or poit = Ol Fid o d circles equtio = with b where circle whe Geoetr origi s cetre, b circle with rdius Hece r d cetre deterie poit 0; 0 ; 4 equtio 4 with cetre tget t to origi circle t R Alticl circle is give Ol circles with Z rdius is give or poit o Deterie equtio circle psg throug Fid equtio circle Hece whe deterie Hece poits deterie itersectio equtio circle tget d to Geoetr poit ; 4 R origi s th Alticl cetre Deteritio circle is equtio give Ol circles with 4 with cetre t origi Deteritio rdius is give or poit o Geoetr equtio The equtio Hece poit ; 4 origi s Eples: deterie poits itersectio circle d cetre Hece deterie equtio tget Pge to th Alticl circle is give Ol circles with Hece deterie poits itersectio c Deteritio + = r defies equtio Geoetr Deterie equtio poit ; 4 circle psg Pge circle origi with s rdius cetre r d through poit Hece ; 4 deterie with cetre t poits origi itersectio c cetre Deteritio 0; 0 equtio R Fid equtio Alticl Hece deterie equtio circle whe rdius Geoetr tget to circle t poit ; 4 is give or poit o R circle is give Ol Hece deterie poits itersectio circles with origi s cetre circle d lie with equtio = + R Deteritio equtio tget to give circle Grdiet or poit cotct is give 4 Fid poits itersectio circle d give stright lie 5 Plottig grph ellipse, + = b 4 CURRICULUM AND ASSESSMENT POLICY STATEMENT CAPS

45 4 circle Fid d poits give stright itersectio lie itersectio 4 Fid circle d poits give itersectio stright lie 5 Plottig grph ellipse, stright lie circle Plottig d give grph stright ellipse, lie ph ellipse, 5 Plottig grph ellipse, Revise b erlier work Revise o erlier ecessr work Eple: d Revise b sufficiet erlier coditios work o o ecessr for ecessr d The Eple: The eples ust ust be be ver ver es es Ol Ol with with oe oe ukow used oce rk o ecessr Eple: Revise polgos d sufficiet erlier work to be sufficiet siilr coditios coditios for for ecessr for for Eple: used The eples oce ust be be be ver Strt with probles like es Ol with oe ukow used oce ditios for The eples Itroduce d polgos sufficiet ust d to to to be be be polgos ppl be coditios ver siilr es to followig Ol for be siilr with oe ukow The eples like like 0 0 Strt with used ust probles oce be ver like es ores: Itroduce d ppl 0 0 Ol with oe ukow used oce 0 0 ilr polgos Itroduce to d be siilr ppl followig 0 0 Strt with Eple: probles like Strt with probles like pl followig Itroduce followig ores: ores: d ppl tht lie drw 0 prllel 0followig to oe Eple: 0 0 ores: side tht lie trigle drw tht divides prllel lie drw to to to or oe Eple: prllel to oe Eple: tht prllel to oe side two side sides lie proportioll; trigle drw prllel divides to oe or Eple: le divides or side trigle divides tht two equigulr sides trigle proportioll; divides or trigles or two re sides ortioll; siilr; two tht sides equigulr proportioll; d trigles re re re proportioll; r trigles Euclide re tht tht siilr; equigulr trigles d trigles Euclide with re tht equigulr sides i Geoetr Euclide proportio siilr; tht trigles d re i Geoetr trigles siilr with sides i i re siilr; ith sides i Euclide Geoetr tht proportio trigles re re re with d siilr sides i siilr Geoetr proportio re siilr >> tht trigles with >> sides >> i proportio re >> siilr >> I ABC, AB 8, AC 5 d BC 6 is poit AB I I so I tht ABC, AB, AB AD AB 4 E 8, is AC, AC AC poit 5 o d BC BC AC BC so tht 6 D is is DE is is poit prllel AB AB AB to BC I ABC, AB 8, AC 5 d BC 6 D is poit Fid so I so so ABC tht AD legths AD, AD, AB 4 8,, E is AC is DE is d poit 5 d AE o o o BC AC AC ACso so so 6 tht D is DE DE DE poit is is is is prllel AB to to tobc BC R Mid-er so tht AD 4 E is poit o AC so tht DE is so prllel Fid tht AD to legths BC 4 E is DE DE DE poit dae o AE AE AC so tht DE is prllel to BC R R R eitios Mid-er Fid legths DE d AE Fid legths R DE d AE R R sset Ter eitios Mid-er : Mid-er sesset sset eitios : : Ter : eitios esset st t lest 50 rks Test id-er t t t Ter eitio lest Assesset : 50 rks Ter : 00 rks est Mid-er per t lest : hours eitio 50 rks, Test t 50 rks lest rks rks Pper per : : : : hours hours,, Mid-er 50, 50 rks eitio 00 rks id-er eitio 00 rks rks Pper : hours, 50 rks Pper : : : : hours,, 50, 50 rks Pper : hours, 50 rks per : hours,, 50 rks Pge 50 Pge Pge Pge 50 >> >> >> CAPS 4

46 GRADE : TERM GRADE : TERM eeks Topic Curriculu stteet Clrifictio Weeks Topic Curriculu stteet Clrifictio Where GRADE eple : TERM is give, cogitive ded is suggested: Where GRADE eple : : TERM is give, cogitive GRADE GRADE : ded : TERM TERM GRADE : TERM kowledge K, routie procedure R, cople procedure C or Weeks Topic Curriculu stteet is suggested: kowledge K, routie procedure R, Clrifictio GRADE : TERM Weeks Topic Weeks Weeks Curriculu Topic Topic stteet proble-solvig Curriculu P stteet Clrifictio lu stteet Clrifictio cople procedure Where C or proble-solvig eple is give, P cogitive ded Clrifictio Euclide Weeks Cotiutio Topic fro ter Curriculu stteet Where eple is is give, Where Where cogitive Clrifictio eple eple ded is give is is su s Euclide Cotiutio fro ter Geoetr Where eple is give, cogitive ded is suggested: kowledge K, routie procedure R, cople pr, cogitive ded is GRADE Geoetr suggested: : TERM kowledge Where kowledge K, routie procedure R, cople procedure C or proble-solvig K, K, eple routie P is procedure give, kowledge R, cogitive R, cople K, K, routie ded routie procedu is cedure R, cople procedure C Solve probles i two d three proble-solvig Euclide or proble-solvig kowledge K, P P routie procedure proble-solvig R, cople P P Curriculu stteet P Solve Cotiutio probles i fro two Clrifictio proc ter diesios T ter Euclide proble-solvig P Geoetr Where Cotiutio d eple fro Euclide three diesios is give, ter cogitive Cotiutio ded fro fro is suggested: ter ter Geoetr Euclide Mesureets ust lws be give kowledge Mesureets Cotiutio K, routie Geoetr fro Solve probles procedure ust ter i two R, d cople three procedure C or Geoetr for gles d lws legths be give sides for i s i two d three proble-solvig Solve probles diesios P i two d three Solve Solve probles i two i two d T d three three gles T T diesios Solve d Mesureets probles legths i ust two d lws three T tio fro ter diesios T T be give sides Mesureets diesios ust lws be be give Mesureets ust ust lws T lws be be give give s ust lws be give for gles d legths sides for for Mesureets gles d legths ust lws sides for be for gles give P gles d d legths legths sides sides 0 e Q legths probles sides i two d three 0 50 esios Trigooetr T for gles d legths sides sureets ust lws be give 8 0 Q Trigooetr GRADE : TERM P P gles d legths sides P 0 50 Trigooetr P 0 Q 0 P Q P Q Trigooetr Trigooetr P R Q Trigooetr Curriculu stteet TP is tower Its foot, P, d poits Q 8 d R re o se Clrifictio horizotl ple 8 8 Weeks Topic 8 P 0 TP Fro Q is Q tower gle Its foot, elevtio P, d to top poits Q buildig d R is re 0 o Furrore, Where eple is give, cogitive de R P se QˆR 50 horizotl, QPˆR ple 0 d distce betwee P d R is 8 R Fid he R TP kowledge is tower Its K, foot, routie P, d procedure poits Fro Q tower, gle TP elevtio to top buildig R Q d R, R re cople o sp TP is Its foot, P, d d R re o R R TP is tower Its foot, P, d poits TP is TP Q is d tower tower R re Its o foot, Its foot, TP is tower Its foot, P, d poits Q d R re o se horizotl ple Fro Q gle elevtio to top buildig C is 0 proble-solvig P R P, se d P, d hor 8 poits to top is 0 Q d R re Revisio se horizotl ple Fro Fro Q gle elevtio Revisio TP Q is tower gle Its elevtio foot, P, d to Fro top poits Fro Q Q d buildig gle R gle re is elevtio 0 elevtio se Furt to to top buildig is 0 Furrore, P ˆR = 50, QPˆR 0 d distce betwee P top buildig is 0 Furrore, Tril E d distce betwee ˆR, P d ˆR R is 8 0 d P d R is P QˆR Revisio 50, QPˆR 0Revisio P QˆR Fro 50 Q, gle QPˆR elevtio 0 d to distce top betwee buildig P d is 0 R is d distce betwee P d R R P QˆR P QˆR 50 50, Q, R PˆR QPˆR 0 0 is 8 Fid height tower, TP d distce betwee ssesset Ter : P d R is 8 Fid TP height tower Its foot, P, d poits Q d Fid R re o height se horizotl P tower, QˆR 50 TP ple TP, QPˆR 0 d tower, distce tower, C TP betwee TP P d R tower, Revisio TP Revisio C evisio Assiget / test Assesset t lest Revisio 50 Ter rks C Fro 4: Q gle Revisio elevtio Revisio Revisio to top buildig is 0 Revisio Furrore, Revisio tower, TP Tril E Tril eitio Assesset Fil eitio: Tril Revisio E P QˆR 50, QPˆR Tril 0 Tril E d Revisio E distce betwee P d R is 8 Fid height Ter : per : 50 Assesset rks: hours Ter : : Pper Ter Assiget : 50 Tril : rks: E / test t hours tower, Assesset TP Ter Ter : : lest 50 rks Pper : 50 rks: C hours lgebric epressios, Revisio Assiget Assesset equtios, / d t iequlities ture roots, logs d cople ubers 50, Fuctios d grphs 5, Algebric / Tril eitio Ter epressios, test t : lest equtios 50 rks Assiget / test / test t 50 t lest lest rks rks Alticl Geoetr 5 ice, growth Tril d Tril Pper d Assiget dec eitio iequlities : 50 5 / rks: test d ture t Differetil lest hours Tril 50 roots, Tril rks Clculus eitio logs d d Itegrtio 5 Trigooetr 50 : : per : 50 Pper rks: Algebric cople Tril : 50 hours eitio rks: ubers hours Pper Pper : 50 : 50 rks: rks: hours hours epressios, equtios, d iequlities ture roots, Euclide logs d Geoetr cople ubers 50, Fuctios d 40 grph es lticl ture Geoetr Algebric Pper Fuctios roots, Fice, logs : epressios, 550 d growth, d rks: cople Trigooetr grphs equtios, hours d ubers dec 40 d 5 50 iequlities, d, Euclide ture 5 Fuctios Differetil Geoetr roots, d Clculus grphs 50logs 5 d Mesurtio, d 50,, d Algebric epressios, equtios, d d iequlities Itegrtio d cople, Mesurtio ture ture circles, ubers roots, gles roots, 5 d circles, 50 logs d logs d gulr d gles Fuctios cople cople d oveet gulr d ubers grphs ovee d 5, Fuctios til Clculus Fice, d Algebric grphs Fice, growth epressios, 5 growth d, dec, Fice, d equtios, dec 5 Fice, 5 growth Fice, d d growth Differetil growth iequlities dec d d dec 5 dec Clculus ture 5 d 5 d d Differetil roots, d Itegrtio d logs Differetil Clculus d 5 5 cople d Clculus Itegrtio ubers d d Itegrtio 50, 5 Fuctios 5 d grphs Pper d Itegrtio Pper : 50 5 rks: hours Pper Fice, Differetil : : growth rks: rks: Clculus d hours dec hours d Pper Itegrtio 5 Pper : 50 : d 50 rks: Differetil rks: 50 hours hours Clculus d Itegrtio 5 Alticl Geoetr 5, Trigooetr 40, Euclide Geoetr 50 d Mesurtio d circles, gles iequlities ture Alticl Pper : roots, Geoetr 50 rks: logs d 5 5 cople hours,,, Trigooetr Alticl ubers Geoetr ,,, Fuctios, 5 Euclide,, Trigooetr d Geoetr Geoetr grphs ,, d, d d Euclide Mesurtio, Mesurtio Geoetr circles, d d 50 circles, 50 d gles d Mesurtio d d Pge g 0, Euclide Geoetr 5 50 d Mesurtio d circles, gles d gulr oveet Differetil d circles, 5 gles 5 Clculus Alticl d d gulr Geoetr Itegrtio oveet 5 5 5, 5 Trigooetr 40, Euclide Geoetr 50 d Mesurtio d circles, gles d 5 etr 40, Euclide Geoetr 50 d Mesurtio d circles, gles d gulr Pge 5 oveet 59 Pge 5 59 Pge CURRICULUM AND ASSESSMENT POLICY STATEMENT CAPS

47 GRADE GRADE : TERM : 4 TERM 4 GRADE GRADE : TERM : : 4 TERM 4 Curriculu Curriculu stteet stteet Curriculu Curriculu stteet GRADE stteet : TERM Clrifictio 4 Clrifictio Clrifictio Clrifictio Weeks Weeks Topic Topic Weeks Topic Where Curriculu Where eple stteet eple is give, is give, cogitive Where cogitive ded Where eple ded is Clrifictio suggested: eple is is give, suggested: is is give, cogitive cogitive ded ded is suggest is is s kowledge kowledge K, routie K, routie procedure procedure Where R, kowledge cople R, eple kowledge cople procedure is K, give, routie procedure K, C routie procedure cogitive or C procedure or ded R, cople R, cople procedure proced C proble-solvig proble-solvig P P is suggested: proble-solvig kowledge proble-solvig K, P routie P procedure R, cople procedure C or proble-solvig P Revisio Revisio Revisio Revisio Revisio Revisio Revisio Revisio Assesset Assesset Ter 4: Ter 4: 4: Fil eitio: Fil eitio: ours Pper : Pper 50 rks: : : 50 rks: hours Pper hours : Pper 50 : rks: 50 rks: hours hours Pper : Pper : 50 rks: : : 50 rks: hours hours qutios s Algebric Algebric 50 epressios, 50 epressios, equtios Alticl equtios Alticl Geoetr Geoetr Alticl Alticl Geoetr 5 Geoetr s, logs roots, d logs iequlities d d iequlities ture ture Trigooetr roots, Trigooetr logs roots, d logs d Trigooetr Trigooetr cople cople ubers ubers Euclide Euclide Geoetr Geoetr Euclide Euclide Geoetr 40 Geoetr Fuctios Fuctios 5 d 5 grphs d grphs Mesurtio, Mesurtio, circles, 5 circles, gles 5 gles d gulr d Mesurtio, gulr oveet Mesurtio, oveet circles, 5 circles, gles 5 gles d gulr d gulr oveet oveet 5 5 c Fice, 5 Fice, growth 5 growth d dec d dec 5 5 tio Itegrtio Differetil 50 Differetil Clculus 50 Clculus d Itegrtio d Itegrtio Pge 5 Pge CAPS 45

48 Sectio 4 Curriculu d Assesset Polic Stteet CAPS FET ASSESSMENT GUIDELINES 4 INTRODUCTION Assesset is cotiuous pled process idetifig, grig d iterpretig ifortio bout perforce lerers, ug vrious fors ssesset It ivolves four steps: geertig d collectig evidece chieveet; evlutig this evidece; recordig fidigs; d ug this ifortio to uderstd d ssist i lerer s developet to iprove process lerig d techig Assesset should be both iforl Assesset for Lerig d forl Assesset Lerig I both cses regulr feedbck should be provided to lerers to ehce lerig eperiece Although ssesset guidelies re icluded i Aul Techig Pl t ed ech ter, followig geerl priciples ppl: Tests d eitios re ssessed ug rkig eordu Assigets re geerll eteded pieces work copleted t hoe The c be collectios pst eitio questios, but should focus o ore dedig spects s resource teril c be used, which is ot cse whe tsk is doe i clss uder strict supervisio At ost oe project or ssiget should be set i er The ssesset criteri eed to be clerl idicted o project specifictio The focus should be o tics ivolved d ot o duplicted pictures d regurgittio fcts fro referece teril The collectio d displ rel dt, followed b deductios tht c be substtited fro dt, costitute good projects 4 Ivestigtios re set to develop skills sstetic ivestigtio ito specil cses with view to observig geerl treds, kig cojectures d provig To void hvig to ssess work which is copied without uderstdig, it is recoeded tht while iitil ivestigtio c be doe t hoe, fil write up should be doe i clss, uder supervisio, without ccess to otes Ivestigtios re rked ug rubrics which c be specific to tsk, or geeric, listig uber rks wrded for ech skill: 40% for couictig idividul ides d discoveries, ssuig reder hs ot coe cross tet before The pproprite use digrs d tbles will ehce ivestigtio; 5% for effective cosidertio specil cses; 0% for geerlig, kig cojectures d provig or disprovig se cojectures; d 5% for presettio: etess d visul ipct 46 CURRICULUM AND ASSESSMENT POLICY STATEMENT CAPS

49 4 INFORMAL OR DAILY ASSESSMENT The i ssesset for lerig is to cotiull collect ifortio o lerer s chieveet tht c be used to iprove idividul lerig Iforl ssesset ivolves dil oitorig lerer s progress This c be doe through observtios, discussios, prcticl deostrtios, lerer-techer cereces, iforl clssroo iterctios, etc, lthough iforl ssesset be s siple s stoppig durig lesso to observe lerers or to discuss with lerers how lerig is progresg Iforl ssesset should be used to provide feedbck to lerers d to ifor plig for techig, d it eed ot be recorded This should however ot be see s seprte fro lerig ctivities tkig plce i clssroo Lerers or techers c evlute se tsks Self-ssesset d peer ssesset ctivel ivolve lerers i ssesset Both re iportt s se llow lerers to ler fro d reflect o ir ow perforce Results iforl dil ssesset ctivities re ot forll recorded, uless techer wishes to do so The results dil ssesset tsks re ot tke ito ccout for prootio d/or certifictio purposes 4 FORMAL ASSESSMENT All ssesset tsks tht ke up forl progre ssesset for er re regrded s Forl Assesset Forl Assesset tsks re rked d forll recorded b techer for progress d certifictio purposes All Forl Assesset tsks re subject to odertio for purpose qulit ssurce Forl ssessets provide techers with sstetic w evlutig how well lerers re progresg i grde d/or i prticulr subject Eples forl ssessets iclude tests, eitios, prcticl tsks, projects, orl presettios, deostrtios, perforces, etc Forl Assesset tsks for prt er-log forl Progre Assesset i ech grde d subject Forl ssessets i Mtics iclude tests, Jue eitio, tril eitio for Grde, project or ivestigtio The fors ssesset used should be ge- d developetl-level pproprite The desig se tsks should cover cotet subject d iclude vriet ctivities desiged to chieve objectives subject CAPS 47

50 PROGRAMME OF ASSESSMENT 44 PROGRAMME OF ASSESSMENT 44 PROGRAMME OF ASSESSMENT four cogitive levels used to guide ll ssesset tsks re bsed o those suggested i TIMSS 999 The Forl Descriptors four cogitive ssessets for ech levels eed to level used ccoodte d to guide ll pproite ssesset rge cogitive percetges tsks re bsed levels d bilities tsks, o those lerers tests suggested d i TIMSS s show below: itios which stud should The 999 be four t ech Descriptors cogitive level re levels for give ech used below: level to guide d ll ssesset pproite tsks percetges re bsed o those tsks, suggested tests d i TIMSS 44 eitios PROGRAMME stud which 999 should OF ASSESSMENT Descriptors be t ech level for re ech give level below: d pproite percetges tsks, tests d gitive levels Descriptio eitios skills which to be should deostrted be ech level re give below: Eples The Cogitive four cogitive levels levels used Descriptio to guide ll ssesset skills to be deostrted tsks re bsed o those suggested Eples i TIMSS stud 999 wledge Stright recll Write dow doi Descriptors Kowledge for Cogitive ech level levels d Stright pproite Descriptio recll percetges skills to be tsks, deostrted tests d Write eitios dow which doi should Eples be t ech Idetifictio correct forul o fuctio level re give Kowledge below: Idetifictio Stright correct recll forul o fuctio ifortio sheet o chgig Write dow doi 0% ifortio Idetifictio sheet o chgig correct f forul o fuctio subject Cogitive 0% levels Descriptio skills to be deostrted f Eples Use ticl subject fcts ifortio sheet Grde o 0 chgig Kowledge Stright recll subject Write dow fdoi 0% Approprite use Use ticl ticl fcts Grde 0 Idetifictio Use correct forul The o gle fcts AOB ˆ subteded b Approprite use ticl The gle Grde ˆ rc vocbulr 0 ifortio sheet o chgig AB t cetre O circle AOB subteded b rc vocbulr fuctio = f subject Approprite use ticl The gle = AOB ˆ + tie AB t cetre O circle Grde 0 subteded Estitio d pproprite roudig Solve for : 5 4 b rc Routie Use vocbulr edures ubers Estitio ticl d pproprite fcts roudig Solve for AB : t 5 cetre 4 O circle Procedures Grde 0 Approprite use ticl The gle AOB ˆ Routie Estitio d pproprite roudig subteded b rc Pros prescribed ubers ores d Grde 0 Solve for : 5 4 Procedures vocbulr ubers AB t cetre O circle derivtio forule Pros prescribed ores d Grde 0 Routie 5% Deterie geerl solutio Estitio Pros d pproprite prescribed roudig ores Idetifictio d derivtio direct use forule correct d Procedures 5% ubers equtio Deterie geerl solutio Solve for derivtio forule : 5 = 4 forul o ifortio Idetifictio sheet d o direct use correct 0 Pros prescribed ores d Grde 0 equtio Grde 0 Deterie geerl solutio 5% chgig subject forul o Idetifictio ifortio d sheet direct o use correct derivtio forule Deterie 0 equtio geerl 0 Grde solutio Perfor well-kow chgig forul o ifortio sheet o equtio 0 0Grde Idetifictio procedures subject d direct use correct Perfor well-kow forul chgig ifortio procedures Prove tht gle sheet subject AOB ˆ Siple pplictios d clcultios o Prove tht gle ˆ Siple chgig pplictios Perfor subject well-kow d clcultios subteded b rc AB t AOB which ight ivolve few steps procedures Prove tht Prove gle ˆ tht AOB gle subteded AOB ˆ which Perfor ight well-kow Siple ivolve pplictios procedures few steps cetre O circle subteded is double b rc AB t Derivtio fro give ifortio d clcultios cetre b rc O AB subteded t circle cetre is b double O rc AB circle t Derivtio Siple pplictios which fro ight give d ifortio ivolve size clcultios few which steps gle ACB ˆ which be ivolved size is double cetre gle size O ˆ gle circle ACB is ˆdouble ight be ivolved Derivtio few steps fro give se ifortio rc subteds t circle ACB which Idetifictio d use fter chgig se which rc subteds size se rc subteds t gle circle ACB t ˆ which Idetifictio Derivtio fro d be give ivolved use ifortio fter chgig Grde be subject correct forul Grde circle Grde ivolved se rc subteds t circle Geerll siilr to those subject Idetifictio correct forul d use fter chgig Idetifictio d use fter chgig Grde ecoutered i clss Geerll siilr subject to those correct forul subject correct forul ple ecoutered Geerll i clss Probles ivolve siilr to those Geerll cople siilr clcultios to those ecoutered Wht is i verge speed covered edures Cople d/or higher order Probles clss resoig ecoutered ivolve cople i clss clcultios roud trip to Wht d is verge speed covered Procedures Cople Cople d/or Probles higher Probles order ivolve cople ivolve resoig clcultios cople clcultios roud Wht is Wht trip to verge is d There is te ot obvious route to fro destitio if verge speed verge covered speed o covered Procedures Procedures There d/or is higher te d/or order ot higher resoig obvious order route resoig to fro roud destitio trip to dfro roud if trip destitio verge solutio speed goig to to d 0% There solutio is te There ot is te obvious ot route obvious to route speed if to verge goig fro to speed destitio goig to Probles eed ot be bsed o rel destitio is00 k / h d if verge 0% 0% Probles solutio eed solutio ot be bsed o rel destitio speed is00 k goig / h d to world cotet verge speed for world Probles cotet Probles eed ot be eed bsed ot o be rel bsed o rel verge speed for destitio retur joure is is00 k / h Could ivolve kig sigifict retur joure is 80k / h? d Grde Could world cotet ivolve world kig cotet sigifict retur joure verge is 80speed k / h? for Grde coectios betwee differet coectios Could ivolve kig sigifict Could betwee ivolve differet kig sigifict retur joure is 80k / h? represettios Grde coectios betwee differet + represettios coectios betwee Differetite Differetite differet with respect with respect to Require coceptul represettios uderstdig Differetite Grde with respect Require coceptul Require coceptul represettios uderstdig uderstdig to Grde Differetite with respect Require coceptul uderstdig to Grde Proble Solvig No-routie probles which re ot Suppose piece wire could be tied 5% ecessril difficult tightl roud to erth Grde t equtor Higher order resoig d processes re Igie tht this wire is leged ivolved b ectl oe etre d held so tht it is still roud Might require bilit to brek Pge erth 55 t 59 equtor Would ouse be ble to crwl betwee Pge 55 wire 59 proble dow ito its costituet prts Pge d erth? Wh or wh ot? A grde The Progre Assesset is desiged to set forl ssesset tsks i ll subjects i school throughout er 48 CURRICULUM AND ASSESSMENT POLICY STATEMENT CAPS

51 Nuber Assesset Tsks d Weightig: Lerers re epected to hve seve 7 forl ssesset tsks for ir school-bsed ssesset SBA The uber tsks d ir weightig re listed below: School-bsed Assesset TASKS Ter Ter Ter GRADE 0 GRADE GRADE WEIGHT % TASKS WEIGHT % TASKS WEIGHT % Project 0 Project 0 Test or or Project or Ivestigtio Ivestigtio Ivestigtio Test 0 Test 0 Assiget / Test Assiget or Test Mid-er E Test Test Assiget or Test Mid-er E Test Test Test Mid-er E Test Tril E Ter 4 Test 0 Test 0 School-bsed Assesset rk School-bsed Assesset rk s % 5% 5% 5% prootio rk Ed--er eitios 75% 75% Prootio rk 00% 00% Note: Although project/ivestigtio is idicted i first ter, it could be scheduled i ter Ol ONE project/ivestigtio should be set per er Tests should be t lest ONE hour log d cout t lest 50 rks Project or ivestigtio ust cotribute 5% ter rks while test rks cotribute 75% ter rks The se weightig 5% should ppl i cses where project/ivestigtio is i ter The cobitio 5% d 75% rks ust pper i lerer s report Grphic d o-progrble clcultors re ot llowed for eple, clcultors which fctorise, or fid roots equtios Clcultors should ol be used to perfor stdrd uericl coputtios d to verif clcultios b hd Forul sheet MUST NOT be provided for tests d fil eitios i Grdes 0 d Lerers c be with forul sheet i Grde for tests d eitios Trigooetric fuctios d grphs will be eied i pper b Eitios: I Grdes 0, d, 5% fil prootio rk is er rk d 75% is eitio rk All ssessets i Grdes 0 d re iterl while i Grde 5% er rk ssesset is iterll set d rked but eterll oderted d 75% eitio is eterll set, rked d oderted CAPS 49

52 Mrk distributio for Techicl Mtics NCS ed--er ppers: Grdes 0 - Descriptio Grde 0 Grde Grde PAPER : Algebr Epressios, equtios d iequlities icludig ture roots i Grdes & 60 ± 90 ± 50 ± Fuctios & Grphs 5 ± 45 ± 5 ± Fice, growth d dec 5 ± 5 ± 5 ± Differetil Clculus d Itegrtio 50 ± TOTAL PAPER : Grdes d : ores d/or trigooetric pros: iu rks Descriptio Grde 0 Grde Grde Alticl Geoetr 5 ± 5 ± 5 ± Trigooetr 40 ± 50 ± 50 ± Euclide Geoetr 0 ± 40 ± 40 ± Mesurtio d circles, gles d gulr oveet 5 ± 5 ± 5 ± TOTAL Note: Modellig s process should be icluded i ll ppers, thus cotetul questios c be set o topic Questios will ot ecessril be coprtetlised i sectios, s this tble idictes Vrious topics c be itegrted i se questio Forul sheet ust ot be provided for tests d for fil eitios i Grdes 0 d BUT for Grde forul sheet c be provided for tests d eitios Trigooetric fuctios d grphs will be eied i pper 45 RECORDING AND REPORTING Recordig is process i which techer is ble to docuet level lerer s perforce i specific ssesset tsk It idictes lerer progress towrds chieveet kowledge s prescribed i Curriculu d Assesset Polic Stteets Records lerer perforce should provide evidece lerer s coceptul progressio withi grde d her/his rediess to progress or to be prooted to et grde Records lerer perforce should lso be used to oitor progress de b techers d lerers i techig d lerig process Reportig is process couictig lerer perforce to lerers, prets, schools d or stkeholders Lerer perforce c be reported i uber ws These iclude report crds, prets eetigs, school visittio ds, pret-techer cereces, phoe clls, letters, clss or school ewsletters, etc Techers i ll grdes report percetges for subject Seve levels copetece hve bee described for ech subject listed for Grdes R The idividul chieveet levels d ir correspodig percetge bds re show i Tble below 50 CURRICULUM AND ASSESSMENT POLICY STATEMENT CAPS

53 CODES AND PERCENTAGES FOR RECORDING AND REPORTING RATING CODE DESCRIPTION OF COMPETENCE PERCENTAGE 7 Outstdig chieveet Meritorious chieveet Substtil chieveet Adequte chieveet Moderte chieveet Eleetr chieveet 0 9 Not chieved 0 9 Note: The seve-poit scle should hve cler descriptors tht give detiled ifortio for ech level Techers will record ctul rks for tsk o record sheet; d idicte percetges for ech subject o lerers report crds 46 MODERATION OF ASSESSMENT Modertio refers to process which esures tht ssesset tsks re fir, vlid d relible Modertio should be ipleeted t school, district, provicil d tiol levels Coprehesive d pproprite odertio prctices ust be i plce to esure qulit ssurce for ll subject ssessets 47 GENERAL This docuet should be red i cojuctio with: 47 Ntiol polic pertiig to progre d prootio requireets Ntiol Curriculu Stteet Grdes R ; d 47 The polic docuet, Ntiol Protocol for Assesset Grdes R CAPS 5

54 5 CURRICULUM AND ASSESSMENT POLICY STATEMENT CAPS

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