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PRIMARY MATHEMATICS SYLLABUS STANDARDS ONE TO SIX Paabllished in 200 B by the Curriculum Development Centre P.8. Box G27, Honiara, Solomon IsIands, Copyright O Ministny of Education, Solomon Islands, 2001. AH rights reserved. ISBN: 982-371-055-4 Foreword 7 . I he development of this new Primapi PAathematies Syllabus for Standards One to Six has arisen from a desire to make mathematics teaching and learning more relevant to the weeds af children in Solomon Islands. The syBBabus reflects the principle that children learn by being involved in practical activity, for it is only through first hand experience and practical application of mathematics that children can later esnceptualise the abstract. The practical teaching methodology emphasised in the syllabus is of equal impedance $0 the body sf knowledge and skills it contains. A lecturing style of teaching is not an sfiective approach to teach mathematics concepts at the primay level. The accompanying teaching and lears~iwg materials (teachefs in-sewice course, teacher's guides and pampils9teds, cards and games) piace mathematics in a local csnts&, using examples and situations whish are familiar to Solomon Islands children and teachers. The body of mathematical experiences, skills and knowledg-contained in the syllabus is presented in a sequential arrangement, with sater stages depending on the suecessfuB assimilation of earlier ones. The teacher is urged to carefully monitor the progress of the children, making sure that topics are fully understood before moving on ta the next. The teaehing of two mathematics lessons each day has, in the past, led to fragmentation and confusion. The needs of the children have become overlooked by teachers who are more concerrled with following the pre-wrieen daily lessons. It is now considered more suitable that there should be one mathematics lesson per day, of about t h i ~ y to f o ~ y minutes. This will allow time for exposition by the teacher as well as practical activity by the children. The daily lesson is not pre-wri(tten in the teacher" guide. Suggested activities are included and the teacher must plan the lesson to meet the specific needs of the class and the individual child. As the Minister responsible for the provision of education sewices in Solomon Islands, I now endorse the approval of this syllabus for use in Primary Schools throughout Solomon Islands. onou our able William Gigini Minister for Education and Training Acknowledgements The Minisaw of Education and Training is gratsfui to the following people whose work has led to the development of this Mathematics syllabus: Jacob Zikuli, Senior Curriculum Development O#cer Linda Puia, Senior Currieuium Development Bficer Kevin Walsh, Gur~culum Advisor, Prirnav Education Development Project Chris Lock, VSO Curriculum C~ounterpa~ Consultants Peter Pool, Mathematics Education Consultant, Leeds University, England, UK Nguzu Ngunu Mathematics Teacher Writers Mathematics Depadment, School of Education, SICHE Funding Agencies European Union UK Depadment for International Development p ij r\\ dLB Rstionale for the inclusiarr of n~atkiena.%ics in the primary cajrric~jlx~r~r ................ 2 2 Aims of matk~ematics education ............................................................. ...., ........- - - q i; nernes and %api~-,s ................................................................................................... 4 Scope and seqa,aenc:.,e ............................................................................................. 5 R e c o ~ ~ m e n d e d four term arranger-neni: ~f units r a d topics ................................. 30 Q-6, .- -> Suggested timetable fbr s s a d a r d s =, tj ....................................... ,, .................... 3 6 '- l i Assessmen-t .................................................................................................... .. ,, AL. Recommended teaching malerials - . ~ rJ ..................................................................... ,;id knovvleage 3; r r ~ ~ ~ h s n Is ~ ~ ~ ~ essential c s for aBI SoSornow Islands chi8dren if %hey are to fd1y chariicipais an life baih a1 ihe present time and in the Future. Val"".;efi;aiics Is ~ 7 6 $ U S L s~metk~ing 4x1 be !earned by children for laher use in adult l i f e T.~iathenaiics is 1ocd of e\\~.sryday life for children today. A38 children continual8y make judgements ~~4hicr1 are b a m d upon lheir ma%&~en~atica! skills and understanding, such as judgements abxwk qsrantity, distance, size, time and shape. Many children" gaarnes, activities and pastimes EnvsEve the gss af amathematicai skills and concepts As dlaSdren grow inlo adults, the Bevel of mathe~nniaticai skills they require increases in range s ~ d sopnistication, VVs d o not know what the future holds for children currently in primav sckook, but we do know that the world is changing at a rapid rate. In order to cope with these enanges chiBdre~i3 I~ILJS~ be 3b8e to use their rnathemaiical s ~ i $ ! s with confidence, %hey must be abbe ke zdapi %bar s k i h ho suit different sittuations and they must be able to soive problems > " P l ~ s i ~ g ITariy cel-i-er-~,?: stma"lgies, l-ji'l :-$5t"1852J3 ' : id s -IS?- r - \\ + : ~ . :\\>c,> fl ,~-!:=!7r=iF~ n p , * d u, " !lf3 & + k . .---*.-,c,.o,- , x ~ ~ ~ ~ a~( ] v ~J ~ ~ ~ ~ WIE . fI ~ ! ! t ~ ~ i / k l g i?i!=i-ksl ..,., i i,$ Lr ?+ - , ; ' rJL\\L&G - ~ p \\ L * ; ~ + 3 1 ) ; % G - < - , f V ? r a , * - ~ ? - . , ,a obA ,-,* i824-":, )aii B~!IL~IL$! n ~ ~ e p t S ti>acugh rsievanl*firsf-f~and experience in real situations, .17--king w; LJ 1 froni;] %b,e rsai $0 $Re abstract "* J, . ,. ;~c:j nmaks r ~ ~ s f & e 1 - i a 8 i ~ ~ relevan$ t h e :ncal snvij-~nyr~lenf and cu$turs 6 3 .A*, i P r . . r " * , <. ~ ,, 3jo;:rc; @,g ;:l=;ildr;ei;ij jn py,fi,[ agiivjjies and garlqes ?&\\ich are most relevant to their 2jae arl,+j gqjeris;qce -, T 5 en.roaebii.gg.F2 + h ~ ? io"al;r:ninq and ~ p ~ e : ~ ~ r of ~ ~ ~ /ivsly, ~ i o n ~;la,jieb and interestirag lessons 5. s l ~ - ~ e o ~ & ,[big ~ a ~ ; ~ c;b,iid~2w oqe ~ ~ ~ i c ~ i v . i;-ee. bcjth$mlat!~a! skiiils in practical and problem solving *, e SIC. ->- ~i!JdilJl rS e, 'to encourage child~=srr! $0 appreciate {rf~e aesthetic nature of matl~enqatics 7 7.- , ! . u.o srsco!bjragle exploration and ir~vesfigation 8. .to encaulrage i:;kiiiidren to talk about tf~eir rmathsma$ics activities, desc~bing what they do ahp=J ;143/;32! .:.I- , a?! . ( j r g i,i :, su - - % ds - to deepen their understanding of njatkiematical concepts. - - - , r hearass and topics - ii he body of mati2ematical concepts, skiUs and ka~oi~ledgs contained in this syllabus is devided rnts a wdrnber nd ikremes, I-hsse are: % . Number 2. Shape 3. Graphs 4. 4jieasuremewt - - a~ 1 irne 6 . !lAoney Withill each theme these are a number of topics, which are numbered and arranged in sequence. For example, in Standard Owe the Shape theme contains three topics: =- $ opic 10: Phbpee-dimensional shapes Topic $ 1 : Two-dimensional shapes Topie 12: Symmety. A dear stndsrstandiwg of lopie 10 is essential be for^ progression is made to topic 11. Theme objeclives tables showing the knowledge, skills and attitudes expeeted sf children in each t h e m e are lneluded in this syl8abus. Also included are tables showing the expected content of t h e teaching programme. Each topic in the published Teacher" GGuides shows i h e aims and sequence of objectives %or that topic. e . 3 LC~BIB$: and sequence ; ?re foliowing pages contain the scope an2 scqadencs tables for Starrdards One ko Six. Fwck# scope and sequence table incle~des ?heme titles, 09~ll11b8d~d topics and the ~eeanlmended teaching and learning objectives for each topic. The teaching methsds8ogy and sk~ggested objectives are of equal 1~3podai see to the csnbea;it of the syllabus. Standard One Topics Objectives I. Quantities and symbols up to ten 1. Recognising symbols and saying number names 2. Cssun"ang activities to demonstrate t h e quantities of numbers 3. Ordering numbers up to ten 4. Consewation of number using practical objects 2. Ordinal faumbers 1. Wecognising first, second, third l o tenth 2. Wecognising the order of numbers first to tenth 3. Distinguishing quantity from position, eg 4 from 4th 3. Addition 1. PuRirsg together two sets to make one new set 2. Finding the components of numbers 3. Writing %a' and L-" in addition sentences 4. Practising single digit additions, including b n e more than" 4. Addition facts 7 . Finding the pairs of numbers which add together to make four, five, etc 2. Finding the pairs sf numbers which add together to make ten 3. Practising adding the pairs of numbers that make Asas 5. Subtraction 1. Taking away objects from a set to make a new set 2. Writing "' for lake away in subtraction sentences 3. Practising subtractions, including bne less than" 4. Practising subtraction facts including numbers taken from ten 6 . Numbers from 11 to 28 1. Learning the structure and names of numbers through visual representation as a bundle of Ben plus ones 2. Ordering and counting along a number line 3. Doing simple additions, including one more and one less 7 . Number facts up to 20 1. Investigating doubles of numbers up to ten plus ten as well as near doubles such as eight plus nine 2. Doing additions up to twenty 3. Doing subtractions from twenty* by counting along a number line and by counting real objects 8 . Numbers up to 99 1. Learning number formation in tens and ones 2. Counting in lens 3. Counting in other numbers such as twos and fives 9. Fractions , 1. Investigating the concept of half through practical activity and use of diagrams 2. Investigating the concept of quarter through practical activity and use of diagrams m y- 7 -1. lwo-djrn.,erasionai shapes Topics 13. Simple graphs i Making u~cdograms using actbal objects, such as leaves 1 2. Read~ng charts to Biruc! the most, Beast, Row nlasry of each :I h 3. BViakiny and reading dock qraphs a!od bar t;raphs d Standard One ----- - ------ - -=--- -. - - - - - - - -- -- --- L - - -=- - - a ,- ---A - A ask~ iFeiqenf 14 Concept sf length 1 . Comparing lengths and heights to introduce language such as longer, shorter, taller 2, Ordering objects such as sticks, leaves and children In the class by length and height 3. Understanding conservation of length by recognising that changing the position of an object does not change its length 15. Measuring length 1. Using nori-standard units such as body parts, pencils, etc to measure t h e length of different objects in the environment 16. Gsncspr 0% weigbat I . Comparing objects by lifting them to introduce language such as heavierB lighter, harder to lift, easier to lift 2. Comparing objects by means of a scale or balance 3. Understanding conservation of weight by recognising that changing the shape of an object does not change its weight 4. Comparing objects of the same size but diHerenb we~gM 5. Comparing small heavy objects and Barge Ijghl? ones 1 17. Weighing with non-standard 3 . Weighing objects on a balance using non-standard units units sf about %Re same size, such as stones, shells, stc I as units of weight 18. Concept of capacity 1. Filling containers with water, sand or seeds to introduce language such as full, empty8 contents, etcc 2. Comparing capacityp by practical investigation of containers to find out which holds more, less, the same 1 7 9 Conservarion of capacity 1. Pouring between dif%erent shaped containers to show that 1 a quantity of liquid remains the same even if %he containers are different 1 20, Measbring capacity with 1. Comparing the capacities of different containers using non-standard units non-standard units of about the same size, such as seeds, stones, etc and counting the number of units needed to fill each container I' .q I h . B.aarning the names o f 'the parts sf The d a j and knowing I what activities tske place at each time, such as morning 1, and evening, time Eo wake up and :time to go ,to sleep 1 2. Learning the dzjs of the week and the things that happen an each day I! I1 I. l3scogwiatng how the clock Race looks at different times, such as bed time, schosE time, maai tames - - - & = o . = 7 . p - .-- . -.-. -== - - - - - A - - - - . = - 7 . - - . - a . 1 Objectives - - - - ? - - - - a - - - - -=- - I- - - x ~ - . & & - - [ Standard Tivo -1 "---__ .- .-_,-.~~,-u--~-~-.--.--- , , i ~ , ~ - v ~ ~ 5 ~ ~ - ~ - ~ v - ~ . ~ . ~ - ~ - . ~ . = ~ . ~ ~-- - =- . = ~ - r li !1 - - -- . - - - - . - - Topics Objectives - - - - ___l-.~--.e--- 1 . Revision I . Wecognisiwg numbers up to 99 and understanding that, $01- example 73 means 7 tens and 3 ones 2. Counting in tens along the number line 3. Putting numbers on t h e number line, sg 25 and 52 4. Completing sequences of numbers on the number line, eg 7 5 25 35 5. Using a 180 number square to see one more, ten more, one less, ten less, two more, t~afanty more, etc 2. Numbers up %a 999 I . Recognising one hundred as 10 tens, using atteibuts blocks, ten-sticks, hundred-squares 2, Writing numbers as hundreds, kens and ones, using names and symbols 3 . Knowing t h e place value oi digits 4, Counting in hundreds on a number line 5. PuRing numbers in order on a number line I . Revising addition of single digits l o make 10 2. Adding 1-digit and 2-digit numbers without regrouping using the vertical form 3. Adding 1-digit and 2-digit numbers with regrouping using t h e vertical form 4. Finding paRerns in addition, e g 5 + g 9 5 + 79,5+29.. . 5. Adding 2-digit and 2-digit numbers with regrouping 4. Subtraction 1. Revising single digit subtractions 2. Counting along the number line to find the difference bemeen two numbers 3. Subtractialg 1 -digit from 2-digit numbers trading 4. Subtracting from tens using a number line to count back 5. Subtracting 2-digit numbers from 2-digit numbers without trading 1 5. $re-multiplication activities 1. Counting along the number line in 2's, 3's, 4's, 5's, 10's 2. Arranging objects in rows sueah as two rows of four, to illus"iats 2 x 4 = 8 I 6 . Fractions 1. Revising Standard 1 work on half and quarter with I objects and diagrams 'I 2. investigating fractions from half to tenth with real objects I i barning the mathematical names of three-dimensional 1. tdaklng symmetrical shapes by paper folding, drawing patterns and drawing pictures of refiectisws 1. Making block graphs to show information about the class such as the children" favserrite fruits 2. Making horizontal and vertical block graphs 3. Reading information from block graphs 10, Non-standard units of length 4. Using non-standard units such as sticks, seeds, parts of the body 2. Weeognising the need for big and small units 3. Knowing when to use approximate answers such as "just less thanbr "us8 over" 4. Recognising 'that non-standard units differ slightly 1. Measuring objects using a centimetre ruler 2. Measuring objects in metres and csntimetres 1 4 2. Concept of area 1. Comparing sudaces in terms of space 2. Measuring areas by covering the sudaces with non- standard shapes of about the same size, such as shells 13. Non-standard units sf capacity 1. Filling containers with non-standard units akcapacity such as seeds, shells and stowes 14. Standard units of capacity 1. Finding the approximate capacity sf a variety of containers in litres, using a Ditre or half litre boa%le such as an oil boEle 15. Non-standard units of weight 1. Measuring the weight sf objects using non-standard units such as seeds and shells on a simple scale balance 16. Standard units sf weight 1. Recognising the weight of objects from the environment in kilograms and grams such as tins and packets from the Iocai store 7 7. Measuring time daily activities times 11 3. Learning the days sf the week and t h e months of year 3. Practising computation and giving change through I , 1 , Reading, .vt!:iling and counting numbers up to 999 '1 2~ F3ec~gnisirug place value of digits 1 3. Counting in hatndreds and tens 1 4. Purting saumbers on the number gins "*. ,en+, ". ,d *." & . .axtd:e~ i ;g and sequencing of 0. Putting numbers in order* rjll,jinb~sa.; s i ~ 110 999 eg 251, 152Y 512 I 2. Making the biggest number using three digits i 3. Knowing v?!hich number is ten more, one hundred masre 1 1 han, ten Iess, awe hundred Bess than a given number I ! I 1 3 k3eadiirrgj writiing and counting wnsmbsrs up to 9,999 ~ a 2. Recsgnising the place value of digits 2 3. p~ttir-ig r~ui~~bsi.:: iai o d e { on a n!t~Jnqber line ij I Making ths biggest number using i s u r digits I ! I , .7= A . . I".;BI".;:Q~-~ !tab :SJ Li 0% sdcjjtion of two I 1, Adding ?-,digit arid 3digit numbers with regrouping li q";,d .i>,iyss-djgit jqusnbeys lJ~ith " ,"& 'F " I LA-^ L 'k> d J p i 7 $;)I I I, Menially adding I digit and ?-digat nwm~bsrs 2, Rscognising how Po add the digits ihat make ten when 1 mentally adding tvvo or mare numbers il 3. Pdsraaaly adding ~eambers UP tens, hundreds or thousands, i ec~ 30+44 58a 602 22Q0+7009 86Q-s-688 ! i; 1 1. Revising subtraction without trading ! 2. Sirbtracting %digit numbers irom 3-digit numbers with 1 Irading (first in the ones column, then in the tens column) a 1 I . Solving subtraction problems involving zeros in the ones columri and in the kens column, eg 280 - 45.208 - 45, 500 - 57 i I. Memorising and practising useful addition and subtraction facts and processes I I . Bscsgnising that multiplication is a short way of writing repeated addition, e g 2 + 2 . t 2 e 2 ! s 6 4 ~ o t s s s " 2 W r i ? t e n a s 4 x 2 = 8 2. Using practical examples and materials to explore multiplication - !- La" cA: s f:s 9;jJ arra~ts :GG * ~ , ~ " c i p i i e ~ i ~ ~ n 3 . Using a number line to show counting in twos, threes Standard Three Number Topics * - - p p - - - p - - - --- -- I- Objectives I I , More mu8tiplication activities 1 . Investigating patterns on a hundred square when counting in 2's, 3'ss, stc 2. Making multiplication tables for 2, 3, 4, 5 , 10 12. Early division activities I . Sharing objects by "giving outn8 eg sharing 14 sAe!/s between 2 peopie by giving one each in turn u n 8 there are n o w /eft 2. Sharing objects by making groups, eg putting 14 shs!/s groups sf 2 to find out how many groups can be made 1 3. Fractions I. Revision of Standard 2 work using diagrams and objects 2. Finding a fraction of a quantity by dividing 4 4. introducing fractional notation 1. Wecognising that % means one part out of two equal parts and % means one part out of four equal parts 2. Placing fractions on a number Bine 3. Using a number Bine to show 1%,2%/%, elc 15. Developing fractions 1 . Recognising fractions on a chart, V3n8!4*8/5y 'la, '/,, 2, Knowing the relative sizes sf fractions, eg %ha1 % is bigger thaw J4 Shape 16. Symmetry 1. Finding lines of symmetry 2. Recognising symmetry in paHerns 3. Recognising rotational symmetry 17. Right angles 1. Recognising right angles as square corners 2. Making right angses by folding paper 3. identifying shapes which Rave square corners: triangles, rectangles, squares 4. Making paHerns with square corners I Standard Three - - .=-.=- - . . - -. r.L-=m - -.---" va-wc. .---- , - - &-.- =-- - Topics - * =. . -. - f Objectives - -- =-. &-= ----- - T 3 - w - m --.- -.- - - --~-- ~ - . - p % - . - . - -%-- 18. !Making graphs I. Recording information using a tally chan j 2. Drawing bar charts pies - -- --- - Objectives --- ----- ----- - - - d 9. Scales 1. Reading scales, eg thermometer# rule< spring bajance 28. Perimeter I . Understanding the meaning sf perimeter 2. Calculating the perimeters sf shapes on square grids by counting 3. Calculating perimeters by measuring 21. investigating perimeters sf 1. Making different shapes all with same perimeter shapes 2. Arranging squares to have the largest or smallest , perimeter 22. Area of simple shapes 1. Calculating the areas of shapes on square grids by counting 2. Making different shapes, all with the same area 3. Recognising square centimetres 1. Finding the approximate area of irregular shapes such as leaves, hands efe by filling with squares or drawing an outline on a square grid 24. Weight and capacity 1. Knowing the difference between weight and capacity 2. Using standard units of weight 3. Using standard units of capacity 25. Reading clock% I Reading minutes to and minutes past the hour 2 Calculating intervals between times in hours and minutes 3. Drawing clock faces to show specific times 26. Computation sf money 1. Adding and subtracting prices 2. Calculating change . - - - -=. 4 -- -- - - - --- - -- - -- - - . ----"- -G.- -7 = - - - - Objectives I ? . Revisbn and extension of i . Heading, wr~aing and counting numbers up as 9,999 1 Standard 3 work 2. Weeogwisirg She place value of digits, eg that the 4 rw 2'#4 17 represents 4 hundreds 1 3. Ordering a set of 4 digit numbew 1 4. Making the biggest number using 4 digits 1 2 , Numbers to 99,909 "9 Reading, writing and counting numbers up to 99,999 2. Wecognising the place value sf digits 3. Making the biggest number using 5 digits Y 4, Rounding of na~mbers to t h e nearest ten, hundred and thousand 5. Reesgnisisag add and even numbers 3. Addition 2. Adding 3- and 4-digit numbers, with and w~lstkout regrouping 3. S s l ~ r ~ n g probistms using addition I . Devslspis.ag strategies for mental sub8raction 2. Subtracting 3- and 4-digit numbers, with and without trading 3. Solving problems using subtraction 1 . Revising mulfipliea$ion tables For 2, 3, 4, 5 and 10 2. Multiplying 2- and 3-digit numbers by a I-digit number without regrouping, eg 1 4 ~ 2 2 1 ~ 4 , 2 3 1 ~ 3 3 , Multiplying 2 and 3 digit nn~mbers by a single digit number wi~h regrouping, e . 2 5 ~ 3 ~ 3 7 ~ 4 , 3 4 9 ~ 2 4. Multiplying by 18 5. Making mceltiplieation tables for 6, 7, 8 and 9 6. Using mu$tip$ication facts when working with larger numbers, eg - knowing that if 3 x 6 = 18 then 3 x EO 180 6. Division 1. Revising division by sharing 2. Revising divisiosa by repeated subtraction 4. Understanding the relationship be%wssn multiplication and division, eg b o w i n g that 35 4- 5 = 7 because 5 x 7 -- 3% 4. lwtrodeacing standard notation for division, 7 eg 5 ) K 7 . Fractions 1. Revising fractions of an object and sf a quantity? eg "/ , 2 / ' eft2 2. Finding fractions of a quantity by dividing, eg4/, 0945 = 4 5 + 3 = 15 3. Introducing mixed number fractions, eg unde~tanding that 4/' = 71 '/' 4. Introducing decimal fractions and notation, eg $3.85 I m 63 ~ r n -. f.63 m, 2 2250 ml- 2.250 1, etc 1 . iniusdueing more regular shapes: pentagons, hexagons, octagons, ete 2. Finding properties of regular shapes: number sf sides and corners, lines sf s y m r n e t ~ ~ parallel lines, etc 3. Making simple paneuws and tessellations with regular shapes 9. 7 hree-dimensional shapes I. flevising prspefliss of three-dimensional solids: faces, edges, corners 2, Unfolding three-dimensional solids to form nets 3. Constructing three-dimensional solids such as cubes, cuboids and cylinders from nets 10. Angles ; 9ecsgnlsiwg and drawing angles bigger and smaller than R right-angle 2. Understanding angles as the measurement s f a turn, ilse&uding fractions of a turn, eg compjete turns, half turns, quarter turns 3. Using the words keloekwiss%and "anti-clock wise?^ describe Whs direction of a turn 4, Recognising the relationship between compass directions, eg turning from North to East = 32 turn 1. Locating positions on a map using Beter and number so-ordinates, eS7 5 1 3 (C9 8) Topics ----------- Objectives - - . - - - - ---- - * - - - - - a - . - Q 7 2. 3ar graphs 1. Making vertical and horizontal bar graphs from data contained in taiiy charts and inforvnatior; tables "Fopics Objectives 13. Length 1. Estimating lengths in em and in9 then measuring to cheek the accuracy of estimates 2. Introducing kilometres 3. Making ca!eu%ations and solving problems in length, including perimeter 14, hnsight and capacity 1. Estimating and measuring weights in kg and g 2. Estimating and measuring capacity in I and ml 3. Making calculations and solving problems in weight and capacity 15. Afsa 1. Gasceaiating the area of squares and rectangles by measuring and using the formula A = L x W (area = length x width) 2. Using the formula A = L x W to calculate the area sf shapes made up of rectangles and squares 16. Probability 1. Using words such as certain, likely, unlikelyand impossib/e to describe the likelihood of an event, eg 'if is unlilse%y that it will rain today; 'if is certain that the sun wid rise tomorrsw' -------- - 1. Introducing am and prn time 2, Understanding and using 12 hour timetables and 3, GaPculating times, eg "hat t h e wiI! if be 40 minutes afier 3.30pm?" 18. Units of time 1, Estimating units of time, eg counting. in seconds and saying when a minube has 2 , Recording events within units of time, eg measuring pulse rates in one minute 3, Con-svefling units of time: houw to minutes, minutes to 19. Decimal notation I . Decimal notation of money, eg 3 dob!ars and 50 cents is the same as $3.50 2. Computation sf money (+, -1, eg add the prices of ifems costing $ I . 35 and $2.90, and caIcu8ate the change from $5-00 3. Solving problems involving price and quantity Standard Five ---- Objectives __ ",_LI___-- 1 Whose numbers up to one miDlion I . Recognising and identifying place value in numbers up to one million 2. Reading and writing numbers up to one million 2. Number sequences I . Extending the raumber line Po include negative numbers 2. Recognising and continuing number sequences, including some that have negative numbers, eg 5 14 15# 208 B , S j . . . . . . . . -7'#-3 11,5s9,13,~ . . . . . . . 3. Recognising square numbers 4. Using words to describe number sequences and patterns, eg 'add four each t h e n 3. Addition 1. Developing and practising strategies for mental addition 2. Adding 5- and 6-digit numbers 3. Making estimates in addition, eg knowing that 108 + 189 is cjoss to 300 4. Solving addition probsems and puzzles 4. Subtraction 1. Developing and practising strategies for mental sutraction 2. Subtracting 5- and &digit numbers 3. Making estimates in subtraction, eg knowing that 347- 450 is close to 208 4. Solving subtraction problems and puzz8es 5. Multiplication 1. Revising mustiplication of 2- and 3-digit numbers by 1 -digit numbers 2, Multiplying 2- and 3-digit numbers by 2-digit numbers 3. Revising multiplication tables and using multiplication facts in calculations 4. Solving multiplication problems and puzzles 1. Dividing 2-digit numbew with remainders, - . . es L B ~ 2. Dividing 2- and 3-digit numbers by I -digit numbers 3. Dividing 3- and 4-digit numbers by I -digit numbers 4. ind ding the average of a set of numbers 5. Solving problems involving calculation of average 1. Making calculations involving more than one operation, eg27-t.36- 15= 2. Making calculations involving more than one operation where brackets indicate the order of operations, eg (13 + 35)x3= - . a - - - A * G n x z - - - - - A - , - d - 4 - A u -+-A- a " - - A - r a PA -4 -- Standard Five I Number 1 Topics a 2, FracPias-rs and - decimals *- - = - - - "J Reeognising equivalent fractions, eg "* " v4 " 4/8 2. Adding and subtracting fractions with t h e same denominator 3. Exploring fraction and decimal equivalence, eg '/ =CIA1, 2/", =0.4, 2 % -- 2.5m f0 4. Ordering a set of decimal numbers 5. Adding and subtracting decimal numbers 9. Percentages 1 1, Bntroducina percentages I 2. investigating fractionnd percentage equivalence, sg v2 = 50/,,, = 50% Shape Objectives 1. Drawing circles and circle pafisrns, eg by using tins and coins 2. Identifying properties of a circle: radius, diameter and circumference 3. Measuring t h e diameter and radius of circles 4. Estimatirsg and measuring the circumference of circles 4 I. Two-dimsnsionai shapes I . Investigating irregular shapes 2. Identifying properties of irregular shapes, including sides, angles, and symmetv 3. Drawing reflections of irregular shapes easing square grids 12. Three-,dimensional shapes 1. Unfolding cartons and boxes to revise nets sf cuboids 2. Investigating pyramids and prisms 3. Making pyramids and prisms from nets 13. Structures 1. LJnderstanding that some two-dimensional shapes are more rigid than others, eg that for construction, a triangle is stronger than a squai. 2. Knowing how to strengthen simple two-dimensional and three-dimensional structures, eg by adding diagonals 14. Angles I. Introducing degrees as the standard measurement of angle, eg a right-angle = 90", there are 368" in a circle 2. Using a protractor to measure angles 3. Classifying angles: acute, obtuse, reflex, etc 1. Locating points on a map using number co-ordinates 2. Finding points using 'x' and 'y' axes Standard Five _-_ _ _ - _ ---- - - - - - ---- - - = -- 11 I ,--- - -- -- -- - - - - - a - _ < i I I - Graphs 1 I I -- -~---=-------- .-*.- :~ --- - -- - ------ -_ _____ _ - - . - x v - . T-- .. --. ~=- - . . . - .-----.=*-LL. Topics i Objectives _ .-__ i - - - - i i i _ - _ _ _ i - . v . - a - . - & i - =-s. - = - - = = , I 1 Reading and trherprstsng bar graph 2. Reading and ~saierpashlng Bins graphs 3. Constructing Sins graphs from tables of infosrnatlon 4. Csnsrrueting i l n ~ graphs using eo-ordinates i I 18. Length 1. Choosing appropriate units when measuring length 2. Calculating length, ineluding rn, rim and k n ~ 3. Using decinsal nsiatiods, eg 2.5 rn -- 2 % rn 4. Calculating distance ow a map using a scale, eg 7:2op 7:IOO 5. Constructing scale drawings and plans 19. Weight 1. Choosing appropriate units when measuring weight 2. Understanding the relationship between units: grams/kilogramss &ilsgrams/tonnes, 3. Using decimal r-sotation, eg 53.5 kg -- 53 % kg 4. Completing practical activi"8es and problem solving using grams and kilograms 28. Volume 1. Introducing t h e concept of volume 2. Measuring volume using I em%wnit~ 3. Using the formula for ealcuiating the volume of bsttes and - containers, ie volume lenght w breadth x height 2"8 Area 1. Calculating the area 04 squares and rectangles in em2 and m2 using the formula A = b x W (area = length x width) 2. Calculating the area of a triangle by halving the area of a rectangle 3. Introducing the formula for finding t h e area of triangles (area = % base x height) and para%lelograms - (area base x height) 4. Calculating the area of shapes made up sf rectangles and squares and rectangles and triangles Temperature 1 . Understanding the use of degrees Celsius as a measure of temperature 2, Using a thermometer to measure and keep a record of alr temperature Probability 1. Using fractions to describe the probability of events, eg when throwhg a dicej know that the prsbablty a/ scoring a six is I in 6 or 'I6 2. Understanding that a probability of % represents an kven chance' Standard Five Time +--------- Objectives 24, Twenty-fous-hour clock I . Using 24-hour notation, eg knowing Bhak 8: l5am is wriflsn as 88: 15 and 3.3Opm B w r m n as 15:38 in 24-hour nofation 2. Understanding and using 24 hour timetables and schedules 3. Calculating time intervals, eg knowing that i f a canoe pumey begins at 09.45 and ends at 13:15$ it has faken 3 hours and 30 minutes 25. Measuring time I . Devising non-standard ways 0% measuring time, eg making a water cjock Money 26. Computation of money I . Solving problems involving computation of money (+ - x +), /'- eg if items cssd $1.20 each, working out how many can be bought with $20.08 and ea!cubafing the change Standard Six - I. Whole number r 3 1 Adding and subtmc"ii:g large numbers, up to 5 and 8 digits 2, -. Making sseiniai~,~ abdi"6ion 3 r d gm&i!aclion . (3) Multiplying, ifi,;ltjdin~ ~?~~sltipiicatia-,w oi 3 4 digit numbers by 2 digit -jur~;~bsrs 4. Dividing 3.- and 4-ajiga nunlbe~s k ~ y 2-digit p.l~.irnbsrs 5. Making calcu?akioj-~s and sol;:i;-eg aroblsrns involving nlors than one spesatisw 6. Making caicuilatIsi;ls %!hick give negative answers. eg 25 -32- 2. Fractions 3 . Decimals 1. Changing cobmmoij laacticms to dewma! fractions, eg 'I4 -- 8.75 2. Wecogwising place value I P cIecl1nzi9 fia~ti06i$, eg recognrsrwg that the 3 in 2.35 represents 3 3enfh-a~ 3. Rounding dsssmals to the nearest ~ k s 8 e[i- na_enrlber atad nearest tenth 4. Adding and subtract~wg deslm~ah fraeaxions liracluding Isnrhs and hundredths, eg 2.53 .g 0.75 620 - 4"68 5. Mu!tlgslysng decimal numbers by whole i~urnbers 6. Dividing the remainder in division caQeaslations lo give an answer ineluding tenths, 7 . Using decimal notation whew r g c ~ ~ g - i ~ ~ r n ~ ~ ~ u r e r n e n & and money, eg 2.5 rn, 2.85 m, 4.5 kg, etc 4. Percentages 1. Making simple caQeulatians involving percentages, eg 17 as a percentage sf 50 = 34% 40 as a percentage of288 = 20% 2. Calculating a percentage increase, sg if the number of children a sc!nosl encret3e~ from 50 to 60 Whis is a 20% increase 3. Solving problems involving percentages 5 . Ratios 1. Comparing values by using a number ratio, eg in a school wilere there are 75 children and 3 teachers, know that the ratio of ckiIdren to teachers is 25:1 2. Knowing ahat quantities can be expressed as a ratio, eg the mixture oOBpePro1 and oi/ used in a achainsaw Standard Six ------- Shape and Space - - - - ---- - - - - ---- -- - - - - --a - Objectives 1. Measuring and comparing angles using a protractor 2 , Investigating the total of the angles inside triangles and quadrilaterals 1 3. Planing a course using bearings 7. Triangles 1. Classifying and naming different triangles: right-angled, equalateral, isosceles, scalene 2. Drawing triangles from given instructions, eg "raw a right-ang8ed friangBe with a base of I2cm and a hei$B-at of 7cm" 8. Tessellation 1. Creating tessellating paHerws using one or more two-dimensional shapes Standard Six Graphs WO, Pie ~ h a d ~ 1. Reading ioifsrrwation from pie charts 2. Drawing simple pis charts to display sr;sfssmztisn 11. Bar and line graphs 1 . Collecting and showing data on bar and line graphs 2. Reading inforenation from bar and line graphs and calculating a total and average 3, Representing information such as population and weather statistics on bar and line graphs - ------- - - * Topics --;I-- -----,.- Objestives - p p 12. Speed, distance and time 1. Introducing the concept sf speed and distance travelled 2. Understanding and using the formula, distance = speed x time 3. Calculating the time taken to cover a distance and the distance travelled in a given time 13. Weight, volume and capacity 1. Recognising eommsnly used containers and their weight or capacity, eg know the weight of a bag. of rice, the capacity sf a drum of petrol, efc 2. Calculating and comparing the volumes oi different containers 3. Solving problems involving capacity and weight 14. Probability 1. Investigating the probability of events, eg finding the probability (wrilten as a frac2ioP)) of S C O ~ ~ [ ~ Q 12 when tk~rowiny two dice and adding the numbers i; Standard Six I/ - - . - - - . - - -- 15- investigating time 1. Using a calendar 2. Understanding longer units of time: years, decades, 3. Investigating time zones: knowing that other parts sf the Pacific and the World have different time zones; working out the current time in another country 16. Calculating money I . Dividing and multiplying of money 2. Solving money prs%!ems, eg finding the average cost per kg of fish sold at a market F Unit I I I! 1 ,[ 7T 2, .: ,I ialk~l1&er: 4 Unit 6 Shape: I ,, .>-, I t L 1 (3 , bVjeasuren~,e;-~k: .topic 4 i 1 topic 11 Humbee-: 1 1 & -- . ' ,o @% I topic 6 I ruIjitC;in A Unit 9 Unit 14 I 1 I hAeasurem~2nt: Number: Time: pJd ,; bec - <*. - d 7 k ; , ~ ~ ~ ~ ~ - J = = ~ ~ ~ ; to pi^ 4 4 topic 5 topics 20 FI 21 17 + R L V\\ Q ~ ~ C Unit 10 Unit 15 I IJr-tii$Fj ~ J ~ J ~ ~ ~ ~ ~ ~ ~ ; j ISn;. eC ,dF4,,-, (~ [l\\Ji ~1 I!] ~ y : j Measurement: Nurnber: .'*< , ,**I B 'Q b.l) ! c 3 I ~ $ : ~ ) ~ 22 ~ j ~ 1 topies18&19 topic 8 i - itsie shouid De j u s t one ddiuv nuathsmalics lesson of about 35 to 40 minutes, depending an ia~ca! eircur~~stances and proguess af the children, A lesson of this duration has the advantage over h a shorter lessons ot allowing more time for teacher presentation and pupil fallow-adp. Cne lopie should be c~rnpleted before a new topic is begun. Each lesson should conbin s variety of actavities to maintain t h e interest of the ehiidrsn. Teachers should assess i h e pilogrsss of the children and evaluate their lessons. They shausd plan the next ksson vai3 thair teaching rruethods depending on the results oftheir assessmen"~ and lessou evalua%isns. $Re following timetable is recommended, Assemj~By and Registration Christian Education - -- ---- -- -- .- - - - - - - - I-anguags activities talkang, poems, rhymes, shared reading, gusded reading, oral activities, handwriting, spell~ng, 1 L b .-- - - - - ------- - qr~rnma!~ - . drama ,A- _- - -- - 110~15 - 10.45i I Break ! Language activities talking, poems. rhymes, shared reading, guided reading, oral adivities, handwri"6ing. spelling, 111.45- 12.151 Communitv Studies - 7 "B"L>* l r - , I ~ a c n ~ i s,l a ~ ~ ~ i d eontinuaily assess the progress of the childrera and bass their lessons odil t h e children's 2eeds rather than on %he need to follow the programme. Assessnqents should b e based on the objectives of t h e lesson, as wriBew in the Teacheras r$liiids. T1-e Teacher" GGue contains reminders for teachers to make assessments before rnaving an to a new objective in each toopic P3,ssessn1c~ts C ~ P be wade aur~ng lessons by obse:vation of 'the chiidsen a s they perform classroom tasks. Weeommended Baching materials The foliowing rsesmmswdsd teaching materiais for Standards Owe to Six are produced by the Curriculum Development Gentre- Primay MatRematles In-sewice Course. This course book forms pa^ sf the in-sewice training ofiered by the Curriculum Development Gsntss ts launch the new mathematics curriculum, it describes the new materials in detail and oHers advice in the planning, delivey and evaluation of mathematics lessons. Teacher" Guides far Standards One to Six. These teachefs guides are designed to assist the teacher to plan interesting mathematics lessons contain"sng a variety of practical activities to meet the needs of individual children. Aims, objectives, teachefs activities and children" activities are suggested for each topic. Children" Books and Mater"sks, Children" books cards, pictures and games are provided for Standards One to Six. These are designed for the children to practise and consolidate their mathematical skills and knowledge in an active, interesting and relevant way. However, materials from the local environment can supplement vafities af resources the teachers and children need to teach mathematic concepts in a practical way. Games and Puzzles Book. This is a book of puzzles and games whkh is designed to make mathematics more interesting for children and teachers alike. Nguzu Nguzu Mathematics
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