MINISTRY OF EDUCATION JUNIOR PRIMARY PHASE … · keshe e limonena meumbo, kovakwanedimo vaye,...
Transcript of MINISTRY OF EDUCATION JUNIOR PRIMARY PHASE … · keshe e limonena meumbo, kovakwanedimo vaye,...
Republic of Namibia
MINISTRY OF EDUCATION
JUNIOR PRIMARY PHASE
FOR IMPLEMENTATION: 2015
MATHEMATICS SYLLABUS
GRADES 1 – 3
OSHIKWANYAMA VERSION
Ministry of Education National Institute for Educational Development (NIED) Private Bag 2034 Okahandja Namibia © Copyright NIED, Ministry of Education, 2014 Mathematics Grade 1-3
ISBN: 978-99945-2-058-9 Printed by NIED Website: http://www.nied.edu.na
Publication date 2014
Oshikalimo
1. Etwalemo ................................................................................................................... 4
2. Omakanghameno ...................................................................................................... 4
3. Omalalakano .............................................................................................................. 4
4. Ehovakanifohongo ..................................................................................................... 5
5. Okukwatafana noilongwa ikwao noitavakani/noikambakani........................................ 5
6. Omukalo wokuhonga nokulihonga ............................................................................. 6
7. Omapyokoko okexulilo londodo ................................................................................. 7
8. Oshikalimo shelihongo ............................................................................................. 15
9. Etaloshiivo ............................................................................................................... 51
9.1 Elalakano letaloshiivo ...............................................................................................51
9.2 Omaludi etaloshiivo ..................................................................................................51
9.3 Omafatululo omadidilikondada ..................................................................................52
9.4 Omifindalandu domoule detaloshiivo (tali) la twikilafana ...........................................53
10. Omafatululo ............................................................................................................. 54
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NIED Syllabus: Mathmatics Junior Primary Phase 2014
1. Etwalemo
Omufindahongo ou otau hokolola osho sha halikila/ sha nuninwa elihongo netaloshiivo lomuvalu meendodo 1-3. Mokulihonga oikwamuvalu, ovahongwa otava shiiva nokuuuda ko omapyokoko oikwamivalu a yooloka, owino, eendungedilaadilo dokupopya ngaashi ve udite ko oikwamwaalu opo va konaakone omakwatafano neemhatolona odo dili mounyuni/ moushitwe. Eshi otashi kwafele ovahongwa va dule okuuda ko nokulikola omadilaadilo mawa ve a longife oo tava dulu okualongifa moihongwa imwe ile mokukala kwavo kwefiku nefiku. Omuvalu ongoshilongwa owa kwatela mo okulihonga oikwamuvalu yomufindalandu, ashike owa kwatafanifwa nomanenediladilo nokuhovakanifwa noilongwa ikwao noitavakani/noikambami (mokutavakana/kambama omufindalandu). Oilalakanenwa, omalalakano elihongo nomapyokoko oo a andjanekwa pokati koilongwa okwa talika ko onga oshitopolwa shomufindalandu pauyadi. Oshilongwa eshi osha pumbwa eetundi di li 8 (meendodo 1-2) neetundi di li 9 (mondodo 3) moshivike. NIED okwa twa kumwe medingonoko netalululo lomufinalandu oo u li po. Okwa teelelwa etalululo likwao tali landula ko momufindalandu weendodo dopedu li ka ningwe momudo 2021.
2. Omakanghameno
Omuvalu oo oshilongifo sha pumbiwa paunghulungu (paungoba) nopaudindoli nomoinima ikwao yonghalamwenyo moshiwana nota u kwafele meyambulepo layo. Eshiivo lomuvalu oshi li yoo oshitukulwa shomufyuululwakalo wetu notau dulu okulongifwa mokuyandja omayele eli hwapo/ oshili. Otwa pubwa eshiivo noughulungu wopamuvalu opo tu longe oinakuwanifwa yefiku keshe nosho yo tu kitakanunune omikundu. Otau yambidida kexumifokomesho lokudiladila palandulafano nopaudindoli. Otau yandje eudo nawa neudombili nge ovahongwa va kitakanununa omikundu notava tyapula omaudano eenomola. Osha fimana kutya ovahongwa mehongo leendodo dopedu va kwate ko ounongo neshiivo lomuvalu wopehovelo, osheshi eude ko loikwamiyopombada ola kanghamekelwa komukanghalandu ou. Ounongo woikwamuvalu oo efina/exuku loukwatya wehongo lopedu nosha fimana unene keendodo dopehovelo. Omufindahongo owa tungilwa komapyokoko a dingilila, omikalo dokuvalula, emeto/eyeleko, efimbo, oimaliwa she likwatelela keenghalo dovahongwa defiku keshe. Omutungilo oo eudeko lomwaka mOmuvalu meendodo edi ola kwatelamo eshiivo lomalupe/ lomitungilo dopehovelo aa taa hangika momidingonoko dovahongwa. Enenediladilo lokukitakanununa/ lokupotokonona omikundu, eemhatolona deenomola, neongelo louyelele/lomauyelele otai yandje eemhito dokuuda ko oikwamuvalu meenghalo defiku keshe. Epyokoko lovahongwa moikwamuvalu otali kulu eshi tava hovele okumona eemhatolona doikwamivalu nokulihonga nghee vena oku ongela ouyelele.
3. Omalalakano
Omalalakano Omuvalu oo:
okuxumifa komesho elongifo leenomola nokudiladila pamuvalu.
Okuxumifa komesho ohole yOmuvalu movahongwa.
Okukwafa ovahogwa va shiive ekwatondunge leenomola nomilandu dopamivalu.
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NIED Syllabus: Mathmatics Junior Primary Phase 2014
Okukwafa ovahongwa va shiive nova pyokoke mondungediladilo nomadidiliko Omuvalu.
Okukwafa ovahongwa va longife Omuvalu meenghalamwenyo davo defiku keshe.
4. Ehovakanifohongo
Ehovakanifohongo olo oufemba womuhongwa keshe nohali yambula po ekufombinga mehongo, ilo okumona omhito momilandu dihapu dehongo daadjakana nomomayakulo oo haa yandjwa mehongo lomeefikola daavo ve he na omaupyakadi. Osha tungilwa komilandu dokuyambidida nokutyapula oulili/ omayooloko hau hangika mokati kovahongwa AVESHE nokukufa po oingabeki AISHE melihongo. Ehongo lopetameko otali longekida oshiwana/omudingonoko ngaashi shi li sha teelelwa mondjodifaneko yaNamibia yomudo wo2030, mokuyambula po ehovakanifohongo. Ovahongwa tava mono oiimbo/ omashongo noshoyo eemhumbwe dimwe melihongo lavo otava ka tulwa meefikola daaveshe, neemhumbwe davo otadi ka ungaungwa nado tashi pitile mokulongifa omikalo dokuhonga da yooloka noikwafifohongo ngaashi tashi pumbiwa. Ovahongwa ovo ve na omaunghundi manene no i tava dulu okulikola sha meefikola daaveshe, otava ka kwafelwa she likolelela keemhumbwe davo meengudu deyambididohongo, ongudu ile eefikola de likalekelwa fiyo efimbo apa tava dulu okuya meefikola daaveshe ngeenge tashi dulika. Moiputudilohongo ei, omufindahongo, omikalohongo noikwafifohongo oya longekidilwa owina okuwapalela ovahongwa ava. Omukalo wehongo lomuhongwa ta dana onghandangala mehongo (LCE) otau wapalele neenghono ovahongwa ovo ve na omaunyengwii mokulihonga, shaashi oha li diinine kwaashi ovahongwa ve shi nale noku va kwafela va tambule/ va likole / va mone eshiivo nounongo mupe. Omutungilo womufindalandu wehovakanifohongo owa tofa mo omapyokoko ovahongwa ve na omaunyengwi mokulihonga va pumbwa okushiiva/okupya muo. Omafanekondunge eyambididohongo loohandimwe oku na okulongekidwa opo a kwafele etalongushu momukomoko welihongo loohandimwe ovo va pumbwa eyambididohongo. Omilandu da wedwa po dokulongekida okulonga nokulihonga meengulu dehovakanifohongo otadi (dulu oku) hangika momutungilo womufindahongo wehongo la hovakanifwa (2012). Omilandu edi otadi ka kwafa ovahongwa AVESHE va mone eshiivo, ounongo neenghedi oku va kwafela va findane mounyuni wonena wa kitakana, womalunduluko nasho yo womaunongononi opamakwatafano nomauyelele mahapu. Ehongo leendodo dopedu otali yambula po eemhito di fike pamwe dovalumenhu novakainhu notashi etifa opo ovahongwa va dule okukufa ombinga moinyangadalwa shi fike pamwe. Ovahongi nava shiive nokuuda ko nhumbi ve na okuyakula ovahongwa shi fike pamwe, noikwafifohongo aishe tai longifwa na i yabidide oipambele yukakwashike-koo-okanhu pauyuuki. Omapekapeko okwa ulika kutya ovamati noukadona aveshe ove na oshitalendi nomaano momuvalu, nomolwaasho ovahongi nava twe omukumo ovahongwa aveshe va ninge nawa. Osha pumbiwa lela opo ehongo lomuvalu meendodo dopedu li twe omukumo nokuhokwifa ovahongwa aveshe Omuvalu.
5. Okukwatafana noilongwa ikwao noitavakani/noikambakani
Oikambakani melihongo oya kwatela mo elihongo lomudingonokohongo/ oushitwe, oHIV noAIDS, ehongo lomuvalu wovakwashiwana, ehongo loufemba womunhu noudemokoli, omauyelele nomakwatafano pautekenika, neameno lomeendjila. Aishe ei oya etwa momufindalandu, shaashi keshe shimwe shomoipalanyole ei, otashi ungaunga nomaupyakadi nomashongo moshiwana shaNamibia. Ovahongwa vetu aveshe ova pumbwa:
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NIED Syllabus: Mathmatics Junior Primary Phase 2014
okuuda ko oukwatya womashongo aa
okuuda ko nhumbi omaupyakadi nomashongo aa taa kumu oshiwana
okuuda ko nhumbi omaupyakadi nomashongo aa taa dulu okupalamenwa moitukulwa yavo
Omaupyakadi nomashongo manene a didilikwa oo aa:
Efilishisho nekwatonawa leedjo detu dopashitwe
Epalameno loilanduli ya etwa koHIV noAIDS
Omikundu dopaukali-nawa tadi etwa kekakeko lewangadjo, keenghedi dokuungaunga noundjuwo noyeekelwashi da nghundipala.
Omakuyunguto opa ghalafano taa etifwa kokuhena oufikepamwe nokupangela oko hakuli dimbike oufemba noinakuwanifwa
Eduliko keemhango deameno lomeendjila la nghundipala
Omaupyakadi oo twa taalela mounyuni
Oilongwa imwe otai wapalele okukwatela mo oikambakani. Momufindahongo omu omu na oihopaenenwa ihapu yomakwatafano noikambakani, ndele oshihopaenenwa ashike shimwe moshikambakani keshe sha yandjwa apa.
Elihongo lomudingonokohongo/ loushitwe
HIV no-AIDS Ehongo lomavalulo ovakalimo
Eameno lomeendjila
Eendodo 1-3 Okuongela omauyelele: Ografika yomafano tai ulike elongifo lomeva moshivike
Ondodo 2 Efimbo
Ondodo 3 Okuongela omauyelele: Ografika yomafano ovamati noukadona mongulu yofikola
Ondodo 1 Okuvalula: Omuvalu womatuwa eli molweendo Ondodo 1 no 2: Omalupe/omitungilo domadidiliko omeendjila
6. Omukalo wokuhonga nokulihonga
Omukalo wokuhonga nokulihonga owa kanghamena kehongo lomuhongwa oye ta dana onghandangala ngaashi sha fatululwa pamilandu dOuministeli nomufindalandu nomomaufo ehongo. Omukalo ou otau etifa elihongo longushu ngeenge omilandu edi tadi tulwa moilonga. Shawedwa po, omukalo wehovakanifo oo oshishonekwa mokuhonga nomokulihonga mehongo leendodo dopedu. Elalalakano olo okuxumifa komesho elihongo neudeko, eshiivo, owino nomikalo tadi kwafele mexumifo komesho loshiwana. omuhongwa keshe oha etelele ounongo neshiivo lihapu kofikola onghee ehongo nelihongo nali hovelele kounongo nokonghalafano oyo omuhongwa keshe e limonena meumbo, kovakwanedimo vaye, momudingonoko, nomekwatafano laye nomomudingonoko. Ehongo mofikola nali kwatele mo, na li tungile ko, nali wede ko nokutula koshiyelekifo osho omuhogwa eshii nale. Ovahongwa ohave lihongo nawa nendjangumuko tashi pitile mokukufa ombinga moinyangadalwa nomokweeta po sha. Omuhongwa keshe oku li li le paemhumbwe daye, pakulihonga, pashiivo nopakudula okulonga sha. Omuhongi na kale ta dulu okuyandja ekwafo tali wapalele eemhumbwe dovahongwa aveshe nokuyukifa elihongo lovahongwa ngaashi tashi wapalele. Omikalo dokuhonga odi na okukala da yooloka, ashike nadi kale tadi dulu okulundululwa nokuwapalela moileshwa.
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NIED Syllabus: Mathmatics Junior Primary Phase 2014
Omuhongi na tokole, she likwatelela koilalakanenwa yelihongo nokomapyokoko oo ena okuhangikwa, onaini sha wapala okuhonga oshikalimo shomuvalu pauyadi; onaini sha wapala oku efa ovahongwa ve likongele omauyelele voo vene; onaini va pumbwa ekwafo nefindilomo; onaini pe na exumokomesho mokulimonena ounongo nomauyelele oo a pumbwa okukonaakonwa ngeenge okwa hangika; ile onaini ovahongwa tava tuwa omukumo va longe kuvo vene moileshwa yonhumba. Okuhonga ovahongwa moungudu, momapando, koumwe nooumwe, ile mongudu aishe motundi yomwaalu noshi kale sha longekidwa nawa. Elongelokumwe mokulihonga omuvalu nali tuwe omufindo ngaashi tashi dulika. Oshihopaenenwa, momuvalu otashi dulika mu na omilandu dihapu do ku kitakanununa/potokonona omikundu novahongwa tava longo moungudu otava dulu oku li honga kuvakwao. Osha fimana yoo oinyangadalwa i kale tai ti sha, opo ovalongwa va dule okumona efimano layo. Eshi ovahongwa tava xumu komesho paumwene, pamakwatafano nopanghalafano, otava dulu okupewa oinakuwanifwa (tashi endele ko), va kufe ombinga mokulongekida nometalongushu loilonga yavo, mewiliko lomuhongi. Omuvalu otau kala wa fimana notau ti sha kovahongwa ngeenge owe likwatelela konghalamwenyo yavo.Oshihopaenenwa, omitungilolupe deembinga mbali nodeembinga nhatu otadi dulu okumonika momidingonoko davo. Nonande omuvalu ohau longifwa mounyuni aushe, ovahongwa ovo vanini otava ka uda ko nokutambula ko elongifo lomuvalu ngeenge tau hongwa she likolelela komidingonoko davo. Omanga omambo oo taa longifwa taa dulu ashike okuulika oinima yakwalukeshe, oshi li oshinakuwanifwa shomuhongi a longife oihopaenenwa yomudingonoko wovahongwa unene tuu oyo tai dulu okukumwa (oikwakukumwa) ngaashi omamanya, outi, eendunga, outuviko vomakende nosh.t
7. Omapyokoko okexulilo londodo
Ovahongwa eshi tave ya mondodo 1, aveshe ova teelelwa va kale va longekidwa panghalafano, pamaliudo, pamadiladilo, nopalutu okuhovela ehongo lopambelewa. Oivike yotete itano yondodo 1 na i lalakanene oinyangadalwa yelilongekidilo lehongo mofikola. Mokumana ondodo 3 yOmuvalu weendodo dopedu, ovahongwa ova teelelwa va kale tava dulu okuulika omapyokoko taa landula: Exumokomesho mekwatondunge leenomola Ovahongwa otavaka dimbuluka, hokolola nokuulika eenomola nomakwatafano ado, okuulika eudeko lavo lekwatondunge leenomola pakanya nopakushanga nokulongifa eenomola monhengelelo yeenomola ya pumbiwa, opo va kitakanunune/ potokonone omikundu danafwangwa monghalo yefiku keshe. Ekitakanununo/epotokonono lomikundu Ovahongwa otava ka longifa eudeko lavo mekwatondunge leenomola va kitakanunune/ potokonone omikundu danafangwa mokulongifa omikalo domavalulo efiku keshe, pakutengeneka nopakumeta/ okuyeleka tava longifa omikalo nomilandu davo vene nokulongifa eenomola monhengelelo yeenomola da pumbiwa. Omikalo dokuvalula Ovahongwa otava ka longifa omadidiliko opehovelo mondjila ng: nda weda mo/ tamu wedwa/ na; kufa mo/ tamu di/ mwa dja; hapupaleka/ lu, tukula mo/ tamu tukulwa; tava longifa omikalo/ eendjila nomilandu davo vene, nokulongifa eenomola monhengelelo yeenomola da pumbiwa. Emeto/Okumeta/Okuyeleka
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NIED Syllabus: Mathmatics Junior Primary Phase 2014
Ovahongwa otava ka tofa mo, dimbuluka noku uda ko omikalo noilongifo yokuyeleka/ mokumeta (oule, ondjodo, omutima woshikwatelwa, onhele, efimbo, oimaliwa) nokulongifa omikalo edi monghalo yefiku keshe. Oimaliwa Ovahongwa otava ka dimbuluka oimaliwa yaNamibia ikukutu noimaliwa yomafo; okuulika eudeko lavo loimaliwa pakanya nopakushanga, nokukitakanununa/ potokonona omikundu da kwatela mo elongifo loimaliwa monghalamwenyo yefiku keshe. Omutungilo Ovahongwa otava ka dimbuluka nokuhokolola omitungilo doikwamalupe, omaukwatya ado nekwatafano/ nomakwatafano pokati komitungilolupe edi 2D naadi 3D meeghalamwenyo davo. Okuongela ouyelele/omauyelele Ovahongwa otava ka ongela, ngonga, ulika nomafano, fatulula, ndjadjukununa nokulongifa eegrafika domafano naado doumungome nelalakano va ete po omaxulifo nokuninga omatengeneko taa wapalele.
8. Etalululo nokushikulafanifa pakutula kumwe okudja pongudu yotete fiyo ondodo 3
Etalululo neshikulafanifo eli ola hovela nOndodo ya tetekela Ondodo yotete (oshikunino) fiyo
Ondodo 3, notali ulike eyo komesho mounongo, meshiivo nomeenghedi domuvalu
momukokomoko wehongo leendodo dopedu. Ashike, oshikalimo shelihonogo mOdodo ya
tetekela Ondodo yotete inashi kwatelwa mo momushangwa ou, sho ota shi hangikwa
momufindahongo wongudu ya tetekelela ondodo yotete (oshikunino).
OSHIKUNINO ONDODO 1 ONDODO 2 ONDODO 3
EXUMIFO KOMESHO LEKWATONDUNGE LEEMOLA
OKUVALULA, EENOMOLA, OKUNDAABULA/ OKULIFOLA/ OKUMBALIPIKA NOKUTIPA
POKATI/ OKUVALULA MOMILONGO, OKUTULA EENOMOLA PEENHELEMUFIKA,
OKUPINGENAPO NOKUTENGENEKA, OKUKOKWELA, ENGUDUPIKO,
OKUSHIKULAFANIFA NOKUYELEKANIFA, OMILISHEKIVALO NOMILIVALIVALO,
OKUTULA EENOMOLA PEENHELEMUFIKA (OKUVALULA)
Omukalo
wokuvalula fiyo
20
Omukalo wokuvalula fiyo
100
Omukalo wokuvalula
fiyo 500
Omukalo wokuvalula
fiyo 1000
Okudimbuluka
eenomola fiyo 10
Okulesha, okutumbula
nokutofa mo eenomola
fiyo 100
Okulesha, okutumbula
nokutofa mo eenomola
fiyo 500
Okulesha,
okutumbula nokutofa
mo eenomola fiyo
1000
Okushanga
eenomola fiyo 9
Okushanga eenomola
fiyo 20
Okushanga eenomola
fiyo 100
Okushanga
eenomola fiyo 500
Oupingena po
fiyo oinima 4
Okupingena po fiyo
oinima 6
Okutengeneka fiyo
opoinima 10
Okutengeneka fiyo
opoinima 20
Okukokwela
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NIED Syllabus: Mathmatics Junior Primary Phase 2014
OSHIKUNINO ONDODO 1 ONDODO 2 ONDODO 3
eenomola u di
etepopepi no 10
Okutapa nokueta
po eemhatolona
danafangwa
deenomola
Okukonakona
eemhatolona deenomola
monhengelelo
yeenomola do 1 fiyo 10
Okukonakona
eemhatolona
deenomola
monhengelelo
yeenomola do 1-20
Okukonakona
eemhatolona
monhengelelo
yeenomola do 1 fiyo
500
Weda mo nokukufa mo ,
valula momilongo fiyo
100
Weda mo nokukufa
mo, valula
momilongo fiyo 500
Okudimbuluka efimano
lomufika wouhapu
weenomola meenomola
1 fiyo 20
Okudimbuluka kutya
omufika weenomola
meenomola doombali
otau ulike ondjudo ya
yooloka yeenomola
Okutofa mo omilongo
noixupe
Okudimbuluka kutya
omufika weenomola
meenomola
doonhatu otau ulike
ondjudo ya yooloka
yeenomola
Okutofa mo omafele,
omilongo, noixupe
Okutula oinima
pamaxwata
Okutula/ ongela oinima
(1-10) moungudu
Okutula/ ongela oinima
(1-50) moungudu
Okutula/ ongela
oinima (1-100)
moungudu
Okushikulafani-fa
nokuyelakanifa
oungudu voinima
Okushikulafanifa
nokuyelakanifa oungudu
voinima neenomola (1-
20)
Okudi tumbula nokudi
lesha
Okushikulafanifa
nokuyelakanifa
eenomola 1-100
Okudi tumbula
nokudi lesha
Okushikulafanifa
nokuyelakanifa
eenomola 1-500
Okudi tumbula nokudi
shikulafanifa
Okushikulafanifa
eenomola okudja ku
shotete fiyo
oshitimulongo
Okushikulafanifa
eenomola okudja ku
shotete fiyo oshiti 20
Okushikulafanifa
eenomola okudja ku
shotete fiyo oshiti
100
Okuulika
kooshimwe
pakupingafana
va ulike oufike
pamwe nou
hefike pamwe
woungudu
Okuulika kooshimwe
nooshimwe tava longifa
eenomola edi 0 fiyo 10
va ulike oufike pamwe
nou hefike pamwe
woungudu
Okutofa mo eenomola
de lisheka naadi inadi
lisheka 0-99
(omilishekivalo
nomihelishekivalo)
Okutofa mo
eenomola de lisheka
naado inadi lisheka
0-500
(omilishekivalo
nomihelishekivalo)
Konga ookaume nomola
meenomola 1-9
Okutulaeenomola
peenhelemufika
paenomola di li mbali
fiyo 99
Okutula eenomola
peenhelemufika
paenomola di li li
nhatu fiyo 500
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NIED Syllabus: Mathmatics Junior Primary Phase 2014
OSHIKUNINO ONDODO 1 ONDODO 2 ONDODO 3
OKUKITAKANUNUNA/ OKUPOTOKONONA OMIKUNDU
Okukitakanununa
/ okupotokonona
omikundu
domahokololo a
nafangwa
Okukitakanununa/
okupotokonona omivalu
domahokololo
anafangwa
monhengelelo
yeenomola 0-10
Okukitakanununa/
okupotokonona omivalu
domahokololo
anafangwa
monhengelelo
yeenomola 0-50
Okukitakanununa/
okupotokonona
omivalu
domahokololo
monhengelelo
yeenomola 0-100
OMIKALO DOKUVALULA
OKUWEDA MO, OKUKUFA MO, OKUHAPUPALIFA, OKUTUKULA MO, OKULONGIFA
OMIKALO DI DULIFE UMWE,OMIPAMBULWAVALU
Okulihonga momutwe
etulokumwe to longifa
eenomola okudja 0-10
Weda mo/tula kumwe
eenomola mbali
neenhomola nhatu u
mone enyamukulo li li
pokati keenomola 1-20
Okulihonga momutwe
etulokumwe to longifa
eenomola okudja 0-20
Weda mo/tula kumwe
eenomola mbali
neenhomola nhatu u
mone enyamukulo li li
pokati keenomola 1-100
Okulihonga momutwe
etulokumwe to longifa
eenomola 0-20
Weda mo/tula kumwe
eenomola mbali
neenhomola nhatu u
mone enyamukulo li li
pokati keenomola
100-500
Okukufa mo onomola
imwe muikwao pokati
keenomola 1-10
Okulihonga okukufa mo
momutwe eenomola 1-
10
Okukufa mo onomola
imwe ile mbali to di kufa
meenomola pokati
keenomola 11-99
Okulihonga okukufa
mo momutwe
meenomola 1-20
Okukufa mo
eenomola
mbali/nhatu tadi di
meenomola di li
pokati keenomola
100-500
Okufaneka oinima i li
moungudu
nokutwifakumwe/itavelifa
nifa neenomola
Okulihonga momutwe
oimhungu yeenomola 1,
2, 5 no 10
Okuhapupaleka
eenomola mbali keshe
fiyo opo 20 nonomola
keshe i li pokati ka 1-9
Okulihonga momutwe
oimhungu yeenomola
edi 1, 2, 3, 4, 5 no
10.
Okuhapupaleka
eenomola mbali
keshe fiyo opo 50
nonomola keshe i li
pokati ka1 no10
Okulifola/ okudaambula
eenomola fiyo opu5,
nokulifola 10
Okulifola/ okundaabula
eenomola fiyo 50
Okulifola/okundaabul
a eenomola fiyo
ope100
3
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OSHIKUNINO ONDODO 1 ONDODO 2 ONDODO 3
Okutipa pokati/okuninga
omatata eenomola fiyo
10, nokuninga etata lo 20
Okutipa pokati/okuninga
omatata eenomola fiyo
50 nokuweda po/mo
eenomola fiyo 20
Okutipa
pokati/okuninga
omatataeenomola
fiyo ope 100
Okulihonga momutwe
okutukula kwa
nafangwa she
likwatelela
kehapupaleko/
koimhungu ei 2, 3, 5
no 10
Okutukulilafana
oinima i fike
pamwe noilyo
oyo i li
mokangudu/mon
gudu, taku
longifwa
oikwakukumwa
Okutukulilafana oinima
fiyo 10 moungudu voo 2,
3, 4 noo 5
Okutukula oinima
moungudu voo 2, 3, 4, 5
no 10
Okutukula omivalo
keshe deenomola
mbali (12) okudja po
10 fiyo ope 100 di
tukulwe kee nomola
dokudja 1-5
Okukitakanununa/okupot
okonona omikundu
monhengelelo
yeenomola edi 0-10 taku
longifwa tamu wedwa ile
tamu di
Okukitakanununa/okupo
tokonona omikundu
monhengelelo
yeenomola edi 0-100
taku longifwa tamu
wedwa ile tamu di
Okukitakanununa/ok
upotokonona
omikundu
monhengelelo
yeenomola edi 0-500,
taku longifwa tamu
wedwa ile tamu di
Okutukulilafana
oinima shi fike
pamwe
Okutukulilafana oinima
moipambu i fike pamwe
nokutofa mo “ouyadi”
“nomatata”
Okutukula oinima
moipambu i fike pamwe
nokutofa mo “ouyadi”
“omatata” “noshitine”
Okutukulaa oinima
moipmbu i fike
pamwe nokutofa
“ouyadi”
“etata/omatata”,
'oshitine”, “oshititatu”,
“oitine itatu” longifa
omaidiliko ng: ½, ¼,
1/3, ¾
OKUMETA/EMETO/OKUYELEKA
OULE, ONDJUDO, OMUTIMA WOSHIKWATELWA, ONHELE, EFIMBO, OIMALIWA
Okuyelakanifa
nokumeta oule
woinima taku
longifwa oinima i
he li pamufika
Okuyelakanifa, okumeta
nokudidilika oule
woinima taku longifwa
oinima oyo ihe li
pamufika wokumeta
Okuyelakanifa, okumeta
nokudidilika oule
woinima taku longifwa
oinima oyo ihe li
pamufika wokumeta
Okuyelakanifa,
okumeta nokudidilika
oule woinima taku
longifwa oinima oyo
ihe li pamufika naayo
3
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OSHIKUNINO ONDODO 1 ONDODO 2 ONDODO 3
wokumeta naayo ili pamufika
wokumeta
(eesendimeta)
Okulongifa exupipiko:cm
i li pamufika
wokumeta (eemeta
neesendimeta)
Okulongifa
omaxupipiko: cm, m
Okuyelakanifa
ondjudo yoinima
ivali taku longifwa
oiyelekifo ihe li
pamufika
wokumeta
Okutengeneka, okufikifa
pamwe, okuyelakanifa
nokumeta ondjudo
yoinima ivali taku
longifwa oiyelekifo
yokumeta ihe li pamufika
wokumeta
Okutengeneka, okufikifa
pamwe, okuyelakanifa
nokumeta ondjudo
yoinima ivali taku
longifwa oiyelekifo i li
pamufika naayo ihe li
pamufika wokumeta
(eekilograma)
Okulongifa exupipiko: kg
Okutengeneka,
okufikifa pamwe,
okuyelakanifa
nokumeta ondjudo
yoinima ivali taku
longifwa oiyelekifo i li
pamufika naayo ihe li
pamufika wokumeta
(eekilograma
neegrama)
Okulongifa
omaxupipiko: kg, g
Okuyelakanifa
ounene/ omutima
woinima ivali,
(omakende/
oundini/ oubaki),
taku longifwa
oiyelekifo ihe li
pamufika
wokumeta
Okutengeneka,
okushikulafananifa
okuyelakanifa nokumeta
ounene woikwatelwa
taku longifwa oiyelekifo
ihe li pamufika wokumeta
Okutengeneka,
okushikulafanifa,
okuyelekanifa nokumeta
ounene woikwatelwa
taku longifwa oiyelekifo i
li naayo ihe li pamufika
wokumeta (eelitela)
Okulongifa exupipiko: l
Okutengeneka,
okushikulafanifa,
okuyelekanifa
nokumeta ounene
woikwatelwa taku
longifwa oiyelekifo i li
naayo ihe li pamufika
wokumeta (eelitela
neemililitela)
Okulongifa exupipiko:
l, ml
Okumeta
nokuyelekanifa ‘onhele’
meni loikwalupe ile
eengaba dayo taku
longifwa oiyelekifo ihe li
pamufika
Okumeta
nokuyelekanifa
‘onhele’ meni
loikwalupe ile
eengaba dayo taku
longifwa oiyelekifo
ihe li pamufika nosho
yo eembine
Okuyoolola
pokati komafimbo
a yooloka efiku
Okukwatakanifa
oinyangadalwa
yomeumbo naayo yomo
mudingonoko ku
yoololwe omafimbo efiku
a yooloka
Okukwatakanifa
oiningwanima naasho
hashi holoka po
momafiku, moivike
nomeehani
Okukwatakanifa
oiningwanima
naasho hashi holoka
po momafiku, moivike
nomeehani
3
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OSHIKUNINO ONDODO 1 ONDODO 2 ONDODO 3
Okutumbula
omafiku oshivike
Okutumbula omafiku
oshivike neehani
domudo
Okuyelakanifa “oule”
“nouxupi” wefimbo
Okutumbula omafiku
oshivike neehani
domudo
nokulongifa okalindeli va
tofe mo ouyelele
kondadalunde
Okupopya efimbo
meevili da denga
komutwe nomomatata
eevili
Okutumbula omafiku
oshivike neehani
domudo nokulongifa
okalindeli va tofe mo
ouyelele
kondadalunde
Okupopya efimbo
meevilli, momatata
nomominute da pita
movili ile da kambela
ko ovili i denge
Okutumbula
nokutofa mo
oimaliwa
yaNamibia i
kukutu: 5c, 10c,
50c
Okulongifa
oimaliwa
yokudanauka
kulideulwe
okulanda
nokulandifa
Okutumbula nokutofa mo
oimaliwa yaNamibia
ikukutu: 5c, 10c, 50c,
N$1 no N$5
Okulideula okulanda
nokulandifa oinima,
okuvalula oimaliwa
nokuyandja oshedja
mondjila tai di mee N$5
Okutumbula nokutofa
mo oimaliwa yaNamibia
ikukutu naai yomafo
N$10 no N$20
Okulideula okulanda
nokulandifa oinima,
okuvalula oimaliwa
nokuyandja oshedja
mondjila tai di mee
N$10
Okutumbula nokutofa
mo oimaliwa
yaNamibia ikukutu
naai yomafo N$10 no
N$20, N$50
Okulideula okulanda
nokulandifa oinima,
okuvalula oimaliwa
nokuyandja oshedja
mondjila tai di mee
N$20
OMUTUNGILO
OMUTUNGILO WOIKWAMALUPE, OKUTULA OEENHELE NOPAMIFIKA
Okutofa mo
nokuendulula
omitungilolupe
edi 2D
Okutofa mo, okutumbula,
okuyoolola, okutula
meengudu omitungilo 2D
naadi 3D
Oikwamalupe: ombine,
ongonga, olee, ohuke
nhatu, okapakete, shili
ongonga yei, oluungu
Okutofa mo,
okutumbula, okuyoolola,
okutula meengudu
omalupe aa 2D no 3D
oikwamalupe: ombine,
ongonga, olee, ohuke
nhatu, yafa ei
momutungilo, oluungu,
ohukenhatu yeembinga
di fike pamwe, ocona,
ooval no cuboid
Okutofa mo,
okutumbula,
okuyoolola, okutula
meengudu omalupe
aa 2D no 3D
oikwamalupe:
ombine, ongonga,
olee, ohukenhatu,
ohukenhatu
yeembinga di fike
pamwe, ooval,
opendagon, oluungu,
ocubu, ongonga yei,
rectangular prism
nopyramid
Mona eehuke
momalupe 2D
3
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OSHIKUNINO ONDODO 1 ONDODO 2 ONDODO 3
nomomitungilo do3D
dee to ulike eehuke
da yukilila (right
angles)
Okuulika
nokuhokolola
onhele yolutu
koinima
momudingonoko
okuhokolola onhele
yolutu koinima
momudingonoko
Okuhokolola omufika
woinima yafanekwa
mowaalita va nafangwa
Okuhokolola omufika
woinima yafanekwa
mowaalita veenhele
ve di shi
OKUONGELA OUYELELE
EEGRAFIKA DOMAFANO, OUMHUNGU NEEGRAFIKA DOUMHUNGU
Okuyoolola
nokutula oinima
meengudu
Okwoongela,
okulongekida nokuulika
ouyelele keegrafika
domafano
Oku fatulula
nokundjadjukununa
ouyelele
Okwoongela,
okulongekida nokuulika
ouyelele keegrafika
domafano
Oku fatulula
nokundjadjukununa
ouyelele
Okwoongela,
okulongekida
nokuulika ouyelele
keegrafika domafano,
koumungu
Oku fatulula
nokundjadjukununa
ouyelele
15
NIED Syllabus: Mathmatics Junior Primary Phase 2014
9. Oshikalimo shelihongo
Ovahongwa vondodo 1 ove na okuninga oinyangadalwa yelilongekido oule woivike itano moshikako shotete shomudo omanga ehongo la
longekidwa inali hovela. Tala komushangwa: A Schoo Readiness/ Preparatory Programme 5 Weeks, wa longekidwa ku NIED, 2011.
OIPALANYOLE ONDODO 1 ONDODO 2 ONDODO 3
EYOKOMESHO LEKWATONDUNGE LEENOMOLA
Enomola dopokati/ Onhengelelo
yeenomola 0-100
Enomola dopokati/ Onhengelelo
yeenomola 0-500
Enomola dopokati/ Onhengelelo
yeenomola 0-1000
Okuvalula
Elalalakano lelihongo
Ovahongwa otava ka valula pe na ile pehe na oivalulifo nokuuda ko omhumbwe nepupaleko lokuvalula
monghalamwenyo yefiku keshe
Omapyokoko
Ovahongwa va dule oku:
Omapyokoko
Ovahongwa va dule oku:
Omapyokoko
Ovahongwa va dule oku:
Valula oinima va yuka
komesho fiyo 20 nokushuna
konima okudja 20-0
Valula oinima fiyo 50 nokuvalula
moo 2 fiyo 50, moo3 fiyo 30,
moo4 nomoonhano fiyo 40,
nomoo10 fiyo 100
tululula oinima moungudu shi
pupaleke evalulo, u valule ng:
moungudu voo2, 3, 5
Valula oinima fiyo 100 nomoo 2 fiyo
100, moo3 fiyo 60, moo4
nomoonhano fiyo 80, moo10 fiyo
150
tululula oinima moungudu shi
pupaleke evalulo, ng: moungudu voo
2, 5, 10
16
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO 1 ONDODO 2 ONDODO 3
valula momutwe fiyo 100,
moo2 fiyo 30, moo5 nomoo10
fiyo 100
valula momutwe fiyo 500
nomoo2 fiyo 100, moo3 fiyo 30,
moo4 fiyo 40, moo5 nomm10
fiyo 500
valula momutwe wa yuka
monima okudja po20 fiyo 0, po30
fiyo 0, nomoombali okudja 20
fiyo 0
valula momutwe va yuka komesho
fiyo 1000 nokushuna konima nokuya
komesho okudja ponomola keshe:1
fiyo 1000, moo2 fiyo 500, moo3 fiyo
60, moo4 fiyo 80, moo5 nomoo 10
fiyo 1000; moo20 fiyo 500, mo30 fiyo
180, mo50 nome100 fiyo 1000
Okupingenapo,
(okutofamo onomola
yoinima ya yandjwa ina
kuvalulwa)
Elalakano lelihongo
Ovahongwa otava ka pingenifa po, tengeneka nokulongifa owino woku tululula melandulafano nghee ve na
okukwatakanifa eemhatolona
Omapyokoko
Ovahongwa va dule oku:
Omapyokoko
Ovahongwa va dule oku:
Omapyokoko
Ovahongwa va dule oku:
Tengeneka omuvalo woinima
fiyo 6 ina okuvalulwa, ndee
Tengeneka omuvalo woinima
fiyo 20 pakutula moungudu tava
Tengeneka omuvalo woinima fiyo 30
pakutula moungudu tava wapalele;
17
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO 1 ONDODO 2 ONDODO 3
tave shi konakona tava valula
tengeneka omuvalo woinima
fiyo 10 paku tula moungudu
tashi wapalele; nava tale
ngeenge ove li mondjila
dimbuluka kutya eemhatolona
doinima da yooloka otadi dulu
okukalela po
oshivalo/onomola ya faafana
ng:
2 vavali ile 3 vavali ile 5 + 1
wapalele; ndee tave shi
konakona tava valula
dimbuluka kutya
elongekido/eemhatolona doinima
otadi dulu okukalela po onomola
ya faafana
ndee tave shi konakona tava valula
dimbuluka kutya onomola ya faafana
meemhatolona/melongekido loinima,
otai dulu okukalela po onomola ya
faafana.
18
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO 1 ONDODO 2 ONDODO 3
Okushikulafanifa
nokuyelekanifa
Elalakano lelihongo
Ovahongwa otava ka longifa oupunaitya wekwatondunge lomuvalu yoku shikulafanifa nokuyelakanifa eenomola
tava diladila moule nokundjadjukununa
Omapyokoko
Ovahongwa va dule oku:
Omapyokoko
Ovahongwa va dule oku:
Omapyokoko
Ovahongwa va dule oku:
Shikulafanifa nokuyelakanifa
oinima neenomola (eenomola
di li pokati 1-20) tava longifa
oupunaitya tai wapalele:
shakula shi dule; shinini shi
dulike na shi fike pamwe
(omadidiliko '>' la shihapu shi
dule na '<' shinini shi dulike
inai kwatelwa mo)
shikulafanifa eenomola (1-20)
mokulonda (okudja kwaashi
shinini wa finda/ yuka kwaashi
shakula) nokulondoloka
(okudja kwaasshi shakula wa
finda/yuka kwaashi shinini)
ng: shanga eenomola edi
oudja kwaai inini wa
finda/yuka kwaai yakula
Shikulafanifa nokuyelakanifa
eenomola (onhengelelo
yeenomola 1-100), tava longifa
oupunaitya tai wapalele;
shihapu/ shinini, shi dulike, shi
fike pamwe, ingapi, shihapu/
shinini shakula shi dule/ shinini
shi dulike, hovela okulongifa
(omadidiliko '>' la shihapu shi
dule na '<' shinini shi dulike)
shikulafanifa eenomola (1-100)
mokulonda nomokulondoloka
ng:shanga eenomola edi
meshikulafano lokulonda
nolokulondoloka: 48, 16, 92 na
61
Shikulafanifa nokuyelakanifa
eenomola, tava longifa oupunaitya
taiwapalele; shihapu/shinini sha kula
shi dule/shinini shi dulike, shi fike
pamwe fiyo 500 (longifa omadidiliko
'>' la shihapu shi dule na '<' shinini
shi dulike)
shikulafanifa eenomola mokulonda
nomokulondoloka okudja 1 fiyo 500
ng:shanga eenomola edi mokulonda
nomokulondoloka meshikulafano:
402, 284, 361 na 68
19
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO 1 ONDODO 2 ONDODO 3
nokudja kwaai yakula wa
finda/yuka kwaai inini: 11, 5,
12 na 3
tofa mo eenhele doinima
okudja ku shotete fiyo
okoshitimulongo, ile shotete
fiyo osha xuuninwa
tumbula, lesha nokulonga
neenomola mokulonda: 1
shotete, oshitivali 2, oshititatu
nsh.t mokulondoloka:
oshitimulongo 10, 9
oshitimuwoi nsh.t
tofa mo eenhele doinima okudja
ku shotete fiyo okoshi-20
tumbula nokulesha eenomola
mokulonda nomokulondoloka
meshikulafano ng: mokulonda:
oshitimulongo nashimwe (11),
oshitimulongo noshitivali (12),
oshitimulongo noshititatu (13)
mokulondoloka: (20)
oshitimilongombali,19
oshitimulongo nomuwoi, 18
oshitimulongo noshitihetatu nsh.t
tofa mo eenhele doinima okudja
shotete fiyo oshiti-30 nokutumbula
nokulesha eenomola mokulonda
nomokulodolokabmeshikulafano ng:
oshiti 20, oshiti 21, 22 nsh.t
Okuulika/okuyandja
eenomola
Elalakano lelihongo Ovahongwa otava ka dimbuluka, lesha, nokushanga eenomola
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
lesha, okutumbula nokutofa
mo eenomola fiyo 100,
mekalata leenomola
nokomufindashivalo
lesha, tumbula nokutofa mo
eenomola mekalata leenomola
nokomufindashivalo
(omufindamuvalu) fiyo 500
lesha, tumbula nokutofa mo
eenomola fiyo 1000 mekalata
leenomola nokomufindashivalo
(omufindamuvalu) nokufatulula
20
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO 1 ONDODO 2 ONDODO 3
(omufindamuvalu)
endulula, tapa nokushanga
eenomola okudja 0-20
lesha eenomola moitya fiyo
10 ng: imwe, mbali...
konakona, mona mo nokutofa
mo oikwaeenomola/
oikwakuvalula
momidingonoko davo, ng:
eenomola deetuwa,
domaumbo nsh.t
nokuyandja omatomheno
eenhele deenomola
komufindashivalo
(omufindamuvalu)
shanga eenomola 0-100
shanga eenomola moitya fiyo 10
ng: ...hetatu, omuwoi, omulongo
konakona, mona mo noutofa mo
oikwaeenomola/oikwakuvalulwa
momidingonoko davong:
eenomola domadidiliko
engabeko lonhapo, eenomola
deetuwa, domaumbo,omido
dovahongwa nsh.t
omatomheno eenhele deenomola
komufindashivalo (omufindamuvalu)
shanga eenomola 0-500
shanga eenomola moitya fiyo 20 ng:
...omulongo nomuwoi, omilingo
mbali
konakona, mona mo okutofa mo
eenomola doinima
yoikwaeenomola/oikwakuvalulwa
momidingonoko davo ng: eenomola
doinano, eenomola deendado, oivixa
yoinima, ounene womakende nsh.t
Okumbalipika eenomola
noku di tipa pokati
Elalakano lelihongo Ovahongwa otava ka uda ko omilandu dokumbalipika eenomola nokudi tipa pokati
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
21
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO 1 ONDODO 2 ONDODO 3
Mbalipika eenomola ve na ile
ve ha na oivalulifo ng: 1, 2, 3,
4, 5, no 10
tipa eenomola pokati ve na ile
vehe na oivalulio 2, 4, 6, 8,
10, 20
Mbalipik eenomolafiyo 50 pe he
na etwikilo ng: 23+23=46, pena
etwikilo ng: 9+9=18
tipa eenomolapokati ve na ile
vehe na oivalulifo,
omilivalivalovalo fiyo 50
nomilishekivalo fiyo 19 ng:
etata lo 44 olo 22 netata lo 19
olo 9 oshixupe/paxupa 1
Mbalipika eenomola fiyo 100 ng:
mbalipika 24=40+8=48 (pehe na
etwikilo mbalipika 36=60+12=72
okuya komesho)
tipa eenomola pokati fiyo 100vena
ile vehe na oshixupe ng: etata lo
36=15+3=18(pehe na oshixupe)
etata lo87=40=3 pa xupa 1=43 pa
xupa 1 (noshixupe)
Okutukula onomola imwe
i tunge po eenomola
mbali
Elalakano lelihongo ovahongwa otava ka uda ko nhumbi eenomola hadi tungwa po nokutukulwa nokudimbuluka omakwatafano eenomola fiyo 20
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Hovela okudimbuluka
omakwatafano eenomola fiyo
10, ng: 9=1+8; 9=8+1; 9-8=1,
9-1=8 ; 9=2+7, nsh.t
Dimbuluka omakwatafano
eenomola meendelelo nokuli
mondjila fiyo 10
hovela okudimbuluka
omakwatafano eenomola fiyo 20
tukula nokutunga po omivalu
yeenomola mbali fiyo 99, ve na
Dimbuluka omakwatafano eenomola
meendelelo noku li mondjila fiyo 20
tukula nokutunga omivalu
yeenomola mbali fiyo nhatu
momikalo da yooloka fiyo 500, ve na
22
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO 1 ONDODO 2 ONDODO 3
ile vehe na ouvalulifo ng:
25=20+5 ile 15+10 nsh.t
27+6=33;
65-21=44
ile vehe na ouvalulifo ng:
154=100+50+4
154=150+4
154=100+54
Ongushu yonhele
(yonomola)
Elalakano lelihongo Ovahongwa otava ka dimbuluka eengushunhele deenomola
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Dimbuluka kutya onhele
yonomola otai eta eyooloko
kouhapu ng: eenomola mbali
(fiyo 99) 12 owa yooloka ko
21; owa pewa eenomola 3 na
4 eta po omivalo mbali wakula
naau unini, ng: 34 na 43
Dimbuluka kutya onhele
yonomola momivaluo otai ulike
ouhapu (500) ng: Owa pewa
eenomola 3, 5 na 4 tunga po
onomola yeenomola nhatu
yakula naai inini ng: 543 na 345
tofa mo eenhelemufika
domafele, domilongo nooimwe
meenomola di li nhatu ng:
monomola 958, ongushu yo 9
0yo 900, ongushu ya 5 oyo 50
noya 8 oyo 80
Dimbuluka kutya onhele yonomola
momivalu deenomola oonhatu otai
ulike ouhapu ng: eenomola di li
nhatu (fiyo 1000)
Owa pewa eenomola 1, 8 na 4 tunga po
onomola yeenomola nhatu yakula naai
inini
ng: 841 na 148
tofa mo eenhelemufika domafele,
domilongo nooimwe meenomola di li
nhatu
23
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO 1 ONDODO 2 ONDODO 3
Okukokwela Hoolola ile tofa mo onomola oyo
ili popepi nomilongo fiyo 100
tava longifa omufindashivalo ile
ekalata leenomola ng: 33-30, 38-
40
Kokwela nokweeta eenomola
nomilongo. 1, 2, 3, 4 di kokwela wa
finda pedu, eenomola da xulila mo 5,
6, 7, 8, 9 di kokwela wa yuka
komesho. ng: 62, tai kokwelwa fiyo
60, 75 tai kokwelwa fiyo 80
Eemhatolona deenomola Elalakano lelihongo Ovahongwa otava ka dimbuluka omilishekivalo nomilivalivalo nokutamununa mo nokuhokolola eshikulafafano leenomola
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Tofa mo eenomola odo tadi
dulu okutulwa momaxwata
avali e fike pamwe
neenomola odo itadi dulu
okutukulwa momaxwata avali
e fike pamwe meenomola di li
pokati 1 fiyo 20
nenepeka nokuhokolola
eshikukafano lanafangwa
leenomola dopokati 1 fiyo 20
ng: yadifa ile mana 1, 3,
5...,...,
hokolola eshikulafano
leenomola ng: weda ko 3
yadeka/ mana nokuhokolola
eenomola meshikulafano
lanafagwa meenomola dopokati
kee 1 fiyo 50 ng: yadifa p
oeenomola odo da fyaala po
20.,.., ..., 23,...,...,26
hokolola eenomola
meshikulafano ng; yandja
Yadeka/mana nokuhokolola
eenomola meshikulafano eenomola
dopokati 1 fiyo 100 ng: shangapo
eenomola odo da fiwa po 3, 6,9, 12,
..., ..., ..
yadeka/mana nokuhokolola
eshikulafano lanafangwa pokati
keenomola 1 fiyo 100 ng: yadekapo
eenomola odo da fyaala po: 50, ...,
..., ..., 54...,...,...,58
hokolola oshimhungu sha 3
meshikulafano fiyo opo 66 (ng. 22 lu/
24
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO 1 ONDODO 2 ONDODO 3
efimbo keshe omishekivalo okudja po 21 fiyo
31 ILE hovela po 21 nokuweda
ko 2 efimbo keshe
andjaneka eemhatolona
deenomola tadi uya po tashi di
mokuweda mo nokukufa mo
meenomola dokangudu
konhumba/dekwatafano
lonhumba ng: 8+9=17
80+90=170
x 3)
andjaneka eemhatolona deenomola
tadi etwa po tadi di mokuweda mo ile
nokukufa mo meenomola
dokangudu konhumba
Omilivalivalo
nomilishekivalo
Elalakano lelihongo Ovahongwa otava ka dimbuluka eenomola domilishekivalo nomilivalivalo
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Ulika etwokumwe leenomola
konomola nonomola
neenomola dopokati ka1 fiyo
10 va ude ko oufike pamwe
wokungudupika (omillivalivalo
ohadi eta po omaxwata e fike
pamwe nomilishekivalo ohadi
eta po omaxwata ehe fike
pamwe)
Tofa mo omilishekivalo
nomilivalivalo fiyo 99
dimbuluka kutya
omilishekivalo ohadi xulile
mo 1, 3, 5, 7, 9 (ng: 57)
nomilivalivalo ohadi xulile mo
0, 2, 4,6, 8 (ng:38)
Tofa moomilishekivalo nomilivalivalo
okudja po 0-500
dimbuluka kutya omilishekivalo ohadi
xulile mo 1, 3, 5, 7, 9 (ng: 857)
nomilivalivalo ohadi xulile mo 0, 2, 4,6, 8
(ng:638)
25
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO 1 ONDODO 2 ONDODO 3
Etulokume OMIKALO DOKUVALULA
Elalakano lelihongo : Ovahongwa otava ka uda ko/shiiva ekwatondunge leenomola lomivalu dopehovelo
nokupyokoka mokutula kumwe nomikwamuvalu
Omapyokoko
Ovahongwa va dule oku:
Omapyokoko
Ovahongwa va dule oku:
Omapyokoko
Ovahongwa va dule oku:
Tula kumwe eenomola di li mbali ile di dulife po di ete po omanyamukulo eenomola di li pokati ko -20 tava longifa
omilandu tadi shikula - oikwakukumwa ile omafano
(oifanekwa) - okuvalula aishe - okuvalula tava longifa ekalata
leenomola il omufindashivalo
(omufindamuvalo) ile omikalo
dikwao dimwe po ng: okutula
onomola yotete momutwe, ndee
to longifa ominwe doye u valule
wa finda komesho
- okutula po tete eenomola odo
da kula
- mbalipika/ lifola/ ndaabula
Tula kumwe momilongo fiyo 100 ng: 20+30
tula kumwe onomola imwe
keenomola mbali momutwe
(22+7= )
tula kumwe momutwe eenomola di li mbali ile di dulife po di li pokati keenomola 0 – 100 tava longifa omilandu tadi shikula
- valula wa finda komesho (va
mone enyamukulo apa tashi
wapalele ng: 28+3)
- mbalipika/lifola/ndaabula
nokutipa pokati/ninga
omatata ng:
Tula kumwe momilongo fiyo 500 ng: 120+30
tula kumwe eenomola mbali fiyo 100
weda mo eenomola di li mbali ile di
dulife po di ete po enyamukulo li li pokati
keenomola 0-500 tava longifa omilandu
tadi shikula:
- valula wa yuka komesho (va mone
ashike enyamukulo apa tashi wapalele
ng: 328+3)
- okulifola/okundaabula/ mbalipika
nokutipa (omatata)
- longifa eshivo kombinga yeenoola
26
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO 1 ONDODO 2 ONDODO 3
nokutipa pokati
- okueta/ tunga po eenomola
nokudi tukula pokati (okudi
pambula) oihopaenenwa
- yadeka/mana efano la fanekwa
lina eenomola da kambela po/da
fiwa po momatumbulomuvalu
fiyo opo 20 ng: 5+ =12
- yadeka eyoka leenomola
- eenomola da londekwa/da
londafana
30+40=30+30+10
- longifa eenomola odo di
shiivike/eshiivo kombinga
yeenomola
- Longifa eenghatu mokutula
kumwe ng:
58+23=58+20+20+3=78+3=
81
- tukula eenomola nokutunga
eenomola dimwe ng:
58+23=(50+20)+(8+3)=70+
11=81
- oihopaenenwa yoilongifo
noinyangadalwa
- omafano okutukula
oshinima shiyadi
moipambu/moitukulwa
- omufindashivalo
- ekalata leenomola
- omufindashivalo
(omufindamuvalu) uhe na
- longifa eenghatu dokutula kumwe
- tukula nokutunga po eenomola
- longifa eenhelemufika/eenhelengushu
deenomola ng:
342+185=(300+100)+(40+80)+(2+5)
oihopaenenwa yoilongifo
noinyangadalwa
- omafano oinima iyadi naai ya tukulwa
- omifindashivalo(omufindamvalu)
- omufindashivalo uhe na sha/ ina ku tulwa
sha
- yadifa po/ko/mo eenomola da fiwa po
momatumbulomuvalu fiyo 200 ng: 130+
=167
- weda po/ko/mo eenomola mbali fiyo 100
momutwe (hakushanga)
- tukula oshinima/ oinima iyadi momatata
(efano / omafano)
- omifindashivalo (omufindamuvalu)
27
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO 1 ONDODO 2 ONDODO 3
sha/inaku tulwa sha
- yadeka/ yadifa mo
eenomola edi/odo da fiwa
po peemwhaka da
yandjwa/fiwa po fiyo 100 ng:
15+ =3
- weda po/ko/mo onomola
imwe pee/kee/meenomol di
li mbali momutwe
(hakushanga)
- omufindashivalo uhe na sha / inaku tulwa
sha
- yadifa po/mo eenomola da fiwa po
momatumbulomuvalu fiyo 200 ng: 130+
=167
- weda po/ko/mo eenomola mbali fiyo 100
momutwe (hakushanga)
Ekufemo
Elalakano lelihongo
Ovalongwa otava ka uda ko ekwatondunge lokungudupika lomivalu dopehovelo nokupyokoka mokukufa mo nomoikwamuvalu
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
kufa mo onomola imwe taidi
monomola ikwao meenomola di
li pokati keenomola 1-20 tava
longifa omilandu tadi shikula:
- kufa po nokuvalula osho sha
fyaala po pakulongifa oivalulifo
yoikwakukumwa ile oifanekwa
kufa mo omilongo fiyo 100
ng:60-50
kufa onomola imwe tai di
monomola ikwao
monhengelelo yeenomola 0-
99 tava longifa omilandu tadi
shikula:
kufa mo onomolayeenomola mbali ile
nhatu tai di meenomola di li pokati
keenomola 100 fiyo 500.
- kufa po/mo shimwe nokuvalula osho sha
fyaala po
- longifa eshiivo leenomola ng: 3-1=2
28
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO 1 ONDODO 2 ONDODO 3
- valula to shuna monima ng: yo
19-17,
- valula wa yuka komesho
moombali (2) okudja po17 fiyo
19
- longifa eshiivo leenomola ng: 3-
1=2
- tukula pokati nokutunga po
eenomola
-
Oihopaenenwa yoilongifo
noinyangadalwa
- omifindashivalo/omifindamuvalu
- omakalata eenomola
- yadeka/mana omafano
oifanekwa neenomola da fyaala
po/mo eenomola odo da fyaala
po momutumbulovalu fiyo 20
ng: 16- =12
- eenomola momufinda
- valula wa yuka monima
- valula wa yuka komesho
meyooloko linini ng: 72-68
- longifa eshiivo leenomola
- tukula eenomola nokutunga
po eenomola dimwe
- kufa mo to longifa eenghatu
ng: 62-48= 62-40-8=22-
8=14
oihopaenenwa yoilongifo
ninyangadalwa:
- yadeka oufano veenomola
da fiwa/fyaala po
- ekalata leenomola
- omifindashivalo/omifindamu
valu
- omufindashivalo/omufindam
uvalu uhe na sha
- yadeka eenomola meyoka
- yadeka /mana omafano eenomola da
fiwa po
- hanganifa/kwatakanifa omafano
neenomola
- longifa oungudu/ omakwatafano
eenomola
- longifa omufindashivalo/ omufindamuvalu
uhe na sha
kufa onomola imwe meenomola di li
nhatu momutwe (hakushanga)
longifa eemhatolona deenomola ng: 100-
37=63
200-37=163
kopela ndele to longifa eshiivo
lokutulakumwe opo u kufe mo momutwe
ng: 20-2-8 18+2=20
kufa mo pamilongo fiyo 500 ng: 260-50
29
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO 1 ONDODO 2 ONDODO 3
weyoka/eemhani domayoka
- eenomola da londafana
(okulondeka)
fefifa ekufemo ketulokumwe ng:
18-2-16 na 16+2=18
leenomola/koumhani
- eenomola da
londafana/okulondeka
kufa onomola imwe
meenomola mbali momutwe
(hakushanga)
fefifa ekufemo ketulokumwe
Ehapupalifo
Elalakano lelihongo Ovahongwa otava ka uda ko nokushiiva ekwatondunge leenomola lomivalu dopehovelo nokupyokoka mokuhapupaleka nomoikwamuvalu
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Valula moombali fiyo 20;
moonhano fiyo 50 nomomilongo
fiyo 100
valula oikwakukumwa
moungudu voo 2, 5 novoo 10
nokuyandja oshihopaenenwa
ngaashi , 5+5+5 otashi ti
oungudu voonhano ve li po
Valula moombali fiyo 20;
moonhatu fiyo 30; moonhee
fiyo 40; moonhano fiyo 50
nomomilongo fiyo 100
ulika kutya okuhapupalifa
oko eendululo landa weda
mo/ tamu wedwa loo2,3,4,5
no 10 ng: Maria oha mono
N$5.00 oshivike keshe, ota
kala e na oimaliwa i fike
Hapupalifa onomola yeenomola di li
mbali na 2,3,4,5,10 va mone enyamukulo
li li pokati ke100-500 tava longifa
ekitakanununokomivalu domadidiliko a
yooloka ng: 73x4=(70x4)+(3x4)
73
× 4
× 4
30
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO 1 ONDODO 2 ONDODO 3
vatatu notashi ku pe15
faneka oungudu voinima
nokulikolelela kenyamukulo
paku endulula ndaweda mo
(edidiliko la lu x ihali longifwa
ponghatu/ mondodo ei) shi
dulife okulongifa omadidiliko
makwao “mahapu”: 3 oungudu
ve li po va 2
peni/ ingapi konima yoivike i
li ihamano?
(N$5+N$5+N$5+N$5+N$5+
N$5=30
hovela okudimbuluka
nokulongifa 1x, 2x, 5x, 10x
hapupalifa tava longifa
edidiliko x
hapupalifa onomola yeenomola di li mbali
no nomola i li pokati 1 no 10
pakuendulula tamuwedwa ile
okulifola/ndaabula ng:
73x6=73+73+73+73+73+73
dimbuluka meendelelo nomondjila
oimhungu yo 1,2,5 no 10
hovela okudimbuluka nokulongifa
oimhungu ya3 na 4
Etukulo
Elalakano lelihongo Ovahongwa otava ka uda ko nokushiiva ekwatondunge leenomola lomivalu dopehovelo nokupyokoka mokutukula nomoikwamuvalu
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
tula oinima moungudu ve fike
pamwe tava longifa
oikwakukumwa, okuvalula
nouhapu weengudu
Mona omikalo davo vene va
tukulile oinima moungudu
voo 2, 3, 4, 5 no 10 ile
tukula paku potokonona
oinima shifike pamwe koilyo
longifa edidiliko ÷ nokulonga mo etukulo
leenomola di li pokati ko10 ne100 tadi
tukulwa neenomola di li pokati ka1 na5
pe na ile pehe na oshixupe paku
endulula tamu di ile omikalo dimwe di li li
tofa mo oixupe u i efe po ile u tukule mo
31
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO 1 ONDODO 2 ONDODO 3
mona omikalo davo vene
okutukulilafana oinima i fike
pamwe pokati koilyo aishe
mokangudu
- danauka onghalo yonhumba
- longifa oikwakukumwa
- longifa omahokololomivalu
- longifa omafano faneka
(edidiliko lokutopola/ tukula itali
longifwa/ pondodo ei) ng: Martin
oku na omaapula 9 nokwe a
tukulila ookaume kaye va3
shifike pamwe. Kaume keshe
ota mono omaapula/omaapela
angapi?
Ulika kutya etukulo olo
eendululo latamudi/ nda kufa
mo: 6 mwa tukulwa ku 2
enyamukulo o3 shaashi 2 ota
dulu okukufwa mo lwoikando
itatu / lutatu (longifa
2, 3, 4, 5, 10 tava longifa
oivalulifo/ oikwakukumwa,
poukwatakanifa omafano
neenomola (edidiliko
lokutukula itali longifwa
pondodo ei) ng: omamanya
e li 16 otaa dulu okutulwa
moungudu: omikweyo di li 8
do umanya uvali keshe,
omikweyo di li 2 doohetatu,
omukweyo u1 woo 16,
omikweyo 16
doo1nomikweyo 4 doo nhee
fefifa okukufamo
kokuindjipaleka, koimhungu
yoo 1, 2, 5, no 10.
tula oinima fiyo 50
moungudu voo2, 3, 4, 5,
wa finda komesho we shi talela
komukundu tava longifa omikalo dokutula
moungudu
dimbuluka nokulongifa omikalo detukulo
de likolelela kehapupalifo la, 2, 3, 5 no 10
ng: 20÷2=10
2x10=20
32
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO 1 ONDODO 2 ONDODO 3
oikwakukumwa)
tula oinima meengudu fiyo 10
moungudu voo 2, 3, 4 noo5 pe
na/pehe na oixupe
no10 ve na ile vehe na
oixupe oyo itai dulu
okutukulwa vali (omamanya
/oumanya, nsh.t); tula
oinima fiyo 50 moungudu
voo2, 3, 4, 5, no10 ve na ile
vehe na oixupe oyo tai dulu
okutukulwa vali shelikwa
telelela komukundu oo tau
longifwa (ouleke, oshikuki
nsh.t)
Omikundu deenghatu
dihapu
Elalakano lelihongo Ovahongwa otava ka kitakanununa/ potokononona omikundu tava longifa omikalo, omilandu, omaudeko nomadidliko a yooloka
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Kitakanununa omivalu
delyenge meenomola di li
pokati keenomola 0-10
nedidiliko la ndaweda mo/
tamu wedwa na kufamo/
tamudi,
ng: 7+3-4=
Kitakanununa omivalu
delyenge meenomola di li
pokati keenomola 0-100
tava longifa edidiliko la
ndawedamo/tamu wedwa na
ndakufamo/tamu di ng:
23+45-31=
Kitakanununa omivalu delyenge
meenomola di li pokati keenomola 0-500
tava longifa tamuwedwa/ ndawedamo na
tamudi/ ndakufamo, ng: 123+245-131=
33
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO 1 ONDODO 2 ONDODO 3
Omipambulwavalu Elalakano lelihongo Ovahongwa otava ka uda ko/shiiva ekwatondunge lomuvalu lopehovelo nokupyokoka va tofe mo omipambulwavalu
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Tukulilafana oinima moipambu i
fike pamwe ng: teta eapula
moipambu ivali i fike pamwe
longifa oihopaenenwa ngaashi:
okahalasha
keyadi
okahalasha keli oshitata
Tumbula omipambulwavalu
doshinima shiyadi (etata
noshitine ashike)
ng:
Tofa mo omatata noitine
pakanya nomomadidiliko
omuvalu: ½, ¼
tumbula omipambulwavalu doinima ya
ongelwa ile shiyadi (etata,oshitine,oitine
itatu, oshititatu ashike)
3
1
Shanga omadidiliko omuvalu
momipambulwavalu domatata, oitine
noititatu onga omipambulwavalu
doshinima shiyadi: ½, ¼, ¾, 1/3
nokuulika oipambu i fike pamwe omo
oshinima shiyadi sha tukulwa.
shiyadi etata oshitine
3
1
34
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO1 ONDODO2 ONDODO3
EPOTOKONONO LOMIKUNDU
Ekitakanununo/potokono
no lomikundu/lomivalu
Elalakano lelihongo Ovahongwa otava ka potokonona/kitakanununa omikundu kombinga yeenghalo defiku keshe tava longifa etulokumwe, ekufemo, okutula moungudu ile okutukulilafana, tava longifa omikalodi li li nadi li li tadi wapalele
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Potokonona
/okukitakanununa, okufatulula
nokushanga omahokololo
kombinga yoiningwanima
yefiku keshe monhalelo
yeenomola dokudja 1-10
didilika omikalo / eendjila tadi
wapalele va mone
ekandulepo lomikundu/
etwokumwe tava longifa
oikwakukumwa,
okukundafana, okuhanganifa
omafano, oifanekwa,
eenomola, okumona
eemhatolona deenomola
nokudanauka
longifa omiikalo nomilandu/
Potokonona/ okukitakanununa,
okufatulula nokushanga
omahokololo kombinga
yoiningwanima yefiku keshe
monhalelo yeenomola dokudja 1-
50
didilika omikalo / eendjila tadi
wapalele va mone ekandulepo
lomikundu/lomivalu tava longifa
oikwakukumwa, okukundafana,
okuhanganifa omafano,
oifanekwa neenomola, okumona
eemhatolona deenomola
nokudanauka oudano
longifa omilandu da yooloka va potokonone/ kandule po ile va
Potokonona/ okukitakanununa,
okufatulula nokushanga
omahokololo kombinga
yoiningwanima yefiku keshe
monhalelo yeenomola dokudja 1-
100
didilika omikalo / eendjila tadi
wapalele va mone ekandulepo
lomikundu/lomivalu tava longifa
oikwakukumwa, okukundafana,
okuhanganifa omafano, oifanekwa
neenomola, okumona eemhatolona
deenomola nokudanauka oudano
longifa omilandu da yooloka va
potokonone/ va kandule po
35
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO1 ONDODO2 ONDODO3
da fimana va potokonone/
kandule po omikundu/
omivalu monhalelo/
moupokati weenomola 1-10
pakulongifa nda weda
mo/tamu di/ kufamo/padja,
okutula
moungudu/okungudupika ile
okutukulilafana ng; Ame ondi
na eembe, onda lya po nhatu,
opa fyaala eembe nhano.
Okwa li ndi na eembe di li
ngapi pehovelo?
Fatulula omukalo oo va
longifa nokupwilikina
komafatululo ovahongwa
vakwao.
kitakanunune omikundu/ omivalu monhale/moupokati weenomola 1-50 pakulongifa omadidiliko omomuvalu aa e li ane ng: okwa li ku na ounona ve li omulongo navatatu koshivilotyapulo, vahamano ova li oukadona, ovamati ova li ve li vangapi?
Fatulula omukalo oo va longifa
nokupwilikina komafatululo
ovahongwa vakwao.
kundafana omikalo da
yoolokafana domukundu umwe
auke
tofa mo omapuko a ningwa
nokuninga ewapaleko
omikundu nokushanga omahokololo
(omivalu domeendjovo) tava longifa
omatumbulo muvalu eenomola
moupokati weenomola 1-100
pakulongifa omadidiliko ane
omomuvalu ng: shanga omukundu u
kwatakanife etumbulomuvalu la
yandjwa ng: 18 - = 15
Enyamukulo: Maria okwashiva
ookahewa vaye 18 koshivilo shaye,
15 ova holoka. Vangapi inava
holoka?
Fatulula omilandu /omikalo da
longifwa
kundafana omikalo da yoolokafana
domukundu umwe auke
tofa mo omapuko nokuninga
ewapaleko.
36
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO1 ONDODO2 ONDODO3
EMETO(EYELEKO)
Oule
Elalakano lelihongo
Ovahongwa otava ka:
uda ko efimano lokumeta nelongifo lalo monghalamwenyo yefiku keshe ;
mona eemhito dokuyandja omatomheno, okufatulula nokulongifa oikwakumeta
mona omalityo okuyelakanifa
xuma komesho (pakudiladila) meudeko lelalakano lokumeta oinima
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Yelakanifa oinima yomaule a
yooloka taku longifwa oupuna
itya tau wapalele:
shile/shixupi shi dulike, shile
shile/shixupi-shixupi, shi fike
pamwe moule/ shile ngaashi
nsh.t
meta/yeleka omaule,
takulongifwa oiyelekifo
yongaho ng: oikanda yomake,
eemhadi nsh.t, emeto li na
omayooloko okudja
komuhongwa nomuhongwa
Shikulafanifa nokuyelakanifa
oinima, taku longifwa oupunaitya
mondjila: shi fike pamwe, shile
shi dule/ shixupi shi dulike, shile/
shixupi, shile shile/shixupi xupi
longifa oimetifo iheli pamufika ng:
eengodi, oudalate vokukwata
eembapila, va mete oule
nomutamo woleetava longifa
ongodi, oudalatevokukwatifa
eembapila nsh.t
longifa oiyelekifo yolela
mesendimeta nokushanga
omivalu da metwa taku longifwa
exupipiko mondjila: cm
Yelakanifa nokushikulafanifa oinima,
taku longifwa oupunaitya mondjila:
shi fike pamwe/she lifa, shile shi
dule/shixupi shi dulike, shile shile/
shixupi xupi shi dulike, oshinano
pokati
longifa oiyelekifo yolela eesendimeta
neemeta okuyeleka oule (outendifo
vokuyelekifa okumeta kwolela,
outeipa vokumeta omifinda da
ngolyoka nsh.t) nokushanga eemeta
37
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO1 ONDODO2 ONDODO3
okulongifa outendifo va ufwa ovo
va didilikwa 1 cm da tukuka,
vehe na eenomola
meta/yeleka mondjila, omaule
omambo nooitafula nokushanga
meesendimeta ashike
tengeneka nawa oule womambo
noitaafula nokushanga
meesendimeta
faneka omufinda wa yukilila
woule weesendimeta da yandjwa
da metwa taku longifwa
omaxupipiko mondjila: m, cm
ninga etulokumwe nekufemo
lomaule
meta/yeleka mondjila, omaule,
omaunene meni nomomudingililo
wongulu yofikola nokushanga
(meesendimeta neemeta ashike)
tengeneka nawa/ mondjila omaule,
omaunene meni nomomudingililo
wongulu yofikola nokushanga eshi
wa mona (meesendimeta neemeta
ashike
faneka omufinda wayukilila woule
weesendimeta doule wa yandjwa
Ondjudo Elalakano lelihongo Ovahongwa otava ka:
uda ko efimano lokuyeleka ondjudo nelongifo layo monghalamwenyo yefiku keshe,
38
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO1 ONDODO2 ONDODO3
mona eemhito dokuyandja omatomheno, okufatulula nokulongifa oikwakumeta
mona omalityo/ neudeko lokuyelakanifa
xuma komesho meudeko lelalakano lokumeta oinima.
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Yelakanifa ondjudo yoinima
paku iyeleka ng: pakukwata
(kwata oshinima shimwe
meke keshe oku li
kanghamekela kutya shilipi
shidjuu) okulongifa oimetifo
yopoluhepo ng: okalekifo
koikutu
longifa oupunaitya mondjila
ngeenge tava tula oinima
meshikulafano noku i
yelakanifa ng: shipu/shidjuu,
shipupuu/shidjuu unene, shi
fike pamwe, shi djuu ngaashi
Yelakanifa ondjudo yoinima
pakuyeleka netata ½ lokilograma
no kilograma 1 pakuyelula ile
pakulongifa ng: efikifopamwe.
Longifa oupunaitya mondjila
ngeenge tava tula oinima
melandulafano noku i yelekanifa;
shi fike pamwe; shidjuu shi dule/
shipu shi dulike, shidjuu
unene/shipuupuu (shipushipu)
shidjuu unenenene/ shipu
unenenene
tula meshikulafano
nokuyelekanifa oinima i li itatu (3)
she likwatelela kokunenepala
nokuninipala kwondjudo
Meta oilongifomwa yefiku keshe
nawa, taku longifwa eegrama
tengeneka oilongifomwa yefiku
keshe nawa tava longifa eegrama
longifa elaka/ oupuna itya tali
wapalele ondjudo ngeenge tava tula
oinima meshikulafano
nokuyelekanifa shidjuu/ shipu,
shidjuu shi dule /shipu shi dulike,
shidjuu unene/ shipu unene
tula meshikulafano nokuyelekanifa
oinima i li itano (5) she likwatelela
kokunenepala nokuninipala
39
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO1 ONDODO2 ONDODO3
pakulongifa oshiyelekifo shi he fi
sholela ng: okalekifo koikutu
kwondjudo
longifa oiyelekifo yolela / i li
pamufika okuyeleka ondjudo
(meegrama nomeekilograma)
nokushanga omuvalu woinima ya
yelekwa tava longifa omaxupipiko
mondjila: g/kg
Omutima woshikwatelwa Elalakano lelihongo Ovahongwa otava ka:
uda ko efimano lokuyeleka omutima woshikwatelwa nelongifo lao monghalamwenyo yefiku keshe,
mona eemhito dokuyandja omatomheno, okufatulula nokulongifa oikwakumeta
mona omalityo/ neudeko lokuyelakanifa
xuma komesho meudeko lelalakano lokumeta oinima
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
tula meshikulafano
nokuyelekanifa
oikwatelwa ya yooloka
(omakende, oipakete,
eendooxa nsh.t) she
likwatelela kounene ile
kounini woikwatelwa.
longifa oupunaitya
mondjila ng: etata/ shi
tula meshikulafano
nokuyelekanifa oinima yefiku
keshe she likolelela komitima
dayo
longifa oupunaitya mondjila
ngaashi shihapu shi dule/
tula meshikulafano
nokuyelekanifa oinima yefiku
keshe she likolelela komitima
dayo
longifa oupunaitya mondjila
ngaashi, shihapu shi dule /shinini
40
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO1 ONDODO2 ONDODO3
yadi etata, shi yadi/ shi
hena sha, shi fike pamwe,
sha pwa etata, ouhapu u
fike pamwe, shihapu
ngaashi, shi dule/ shi
dulike
yelekanifa omutima
woikwatelwa i li li noku li li
yomitungilo nomaunene a
yooloka naku shangwe
oidjemo
meta nokuyelekanifa
omutima woshikwatelwa
noiyelekifo ya yooloka
shinini shi dulike, shihapu
ngaashi
meta nomatomheno taa
wapalele omutima
woikwatelwa yelongifo lefiku
keshe tava longifa oiyelekifo
tai wapalele/yolela okumeta
(eelitela)
tengeneka mondjila omitima
doikwatelwa yelongifo lefiku
keshe tava longifa oiyelekifo
yolela okumeta (eelitela)
meta omutima
woshikwatelwa nokushanga
tava longifa omaxupipiko
mondjila (l) okudidilika
/nokushanga oidjemo
shi dulike, shihapu luvali shihapu
lutatu, etata lo....
meta nawa ngaashi tashi dulika
omitima doikwatelwa yelongifo
lefiku keshe tava longifa
oiyelekifo yokumeta (eelitela
neemililita
tengeneka mondjilaomutima
woshikwatelwa melongifo lefiku
keshe tava longifa oiyelekifo
yolela okumeta (eelitela
neemililita)
meta nokudidilika omutima
woshikwatelwa tava longifa
omaxupipiko mondjila (ml/l)
okudidilika /nokushanga oidjemo
Omutamo Elalakano lelihongo Ovahongwa otava ka:
41
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO1 ONDODO2 ONDODO3
uda ko elityo lounene/lomutamo nelongifo lao lefiku keshe;
mona eemhito dokuyandja omatomheno, okufatulula nokulongifa oikwakumeta
mona omalityo/ neudeko lokuyelakanifa
xuma komesho meudeko lelalakano lokumeta oinima
Omapyokoko Ovahongwa va dule oku :
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Likwatelela kounene
wonhele kombada, meni,
komighulo/ peengaba
pakulongifa okumeta
inaku longekidwa/ sheywa
tava longifa oiyelekifo
yongaho ng: omuvalo/
ouhapu woutuviko
vomakende ovo tava
wana meni lomutungilo
kwatakanifa komutamo
wonhele meni leengaba tava
longifa oimetifo/oiyelekifo ihe
yopomufika ng: okulongifa
outuviko vomakende ndele
tava yadje omuvalu kutya
outuviko vangapi va longifwa
meni lomutungilo wonhumba.
Yelekanifa ounene/omutamo
weenhele domitungilolupe da
yooloka tava longifa
oiyelekifo yongaho ng:
omalyatelo eemhadi
noomake ile pakuteta po
eembapila
kwatakanifa komutamo wonhele
meni leengaba tava longifa
oimetifo/oiyelekifo ihe
yopomufika ng: okumeta
kombada yoshitaafula
neembapila doA4 nokuvalula
ouhapu weembapila odo.
Yelekanifa ounene/omutamo
weenhele domitungilo da
yooloka tava longifa eembine
nokudi valula va mone
ounene/omutamo
Efimbo, oulefimbo Elalakano lelihongo Ovahongwa otava ka:
uda ko nokulongifa efimbo mondjila
uda ko kutya oinigwanima yefiku nefiku ohai kufa efimbo li fike peni
42
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO1 ONDODO2 ONDODO3
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Kundafana oinyangadalwa
yefiku yokeumbo,
noyomomudingonoko
mekwatafano nefimbo
lomutenya (lefiku)
okukwatafanifa oiningwanima
nefimbo lomutenya, efimbo
loufiku, ongula, lokomatango,
nolokonguloshi
tumbula omafiku oshivike
neehani domudo
melandulafano
yelekanifa efimbo lile nefimbo
lixupi oulefimbo /efimbo li fike
peni ng: ohashi kwata efimboli
fike peni okutunga eumbo;
okafimbo kefudepo okaxupi
longifa oupunaitya tau
wapalele/mondjila ng; efimbo
lile/efimbo lixupi,
omutenya/oufiku,
onghela/nena/mongula,
faafanifa oiningwanima
yomeumbo noyomomudingonoko
komafimbo, komafiku, koivike
nokeehani
tumbula omafiku oshivike
neehani domudo melandulafano
longifa okalindeli va tofe mo
ouyelele kombinga yomafiku
koshivike nomafiku kutya angapi
ng: mona efiku loshivike omo mu
na edalo lomushivikile
tofa mo oulefimbo
woiningwanima i shivike nawa
ng: pofikola ohatu kala po oule
weetundi/ weevili di li nhee 4
efiku keshe, oshivike oshina
omafiku e li aheyali 7
popya efimbo mondjila to longifa
eevili nomatatavili kovili yokati
faafanifa oiningwanima yomeumbo
noyomomudingonoko komafimbo,
komafiku, koivike nokeehani
tumbula omafiku oshivike neehani
domudo melandulafano
longifa okalindeli va tofe mo
ouyelele kombinga yomafiku
koshivike nomafiku kutya angapi ng:
mona efiku lonena mokalindeli
itavela oulefimbo woiningwanima
meevili, momafiku meedula
(momido) tava longifa elandulafano
lefimbo
popya efimbo mondjila meevili
momatatavili nomominute kovili
yopamufyuululwakalo ng: faneka
omake kovili(omuuliki wefimbo
nomuvaluli wominute) va ulike 4.15
43
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO1 ONDODO2 ONDODO3
ongula/omutenya/komat-
ango/konguloshi
Oimaliwa ya Namibia Elalakano lelihongo Ovahongwa otava ka uda ko nhumbi oimaliwa yaNamibia hailongifwa
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Tumbula nokutofa mo
eengushu doimaliwa ikukutu
da yooloka pakudimbuluka
5c, 10c, 50c, N$1, N$5,
nokukundafana omaukwatya
ayo a yukilila ko ng: ounene,
omadidiliko, oluvala nongushu
holola exwata loimaliwa
ikukutu i na ongushu i fike
pamwe fiyo 50c, ng;
10c=5c+5c
ulika okulanda nokulandifa
oinima to longifa oimaliwa
yokudanauka, okuvalula
oimaliwa nokuyandja
oshendja tai di mo N$5
(oshendja i li meesenda ile
Tumbula nokutofa mo oimaliwa
aishe ikukutu naai yomafo N$20
nokukundafana nomaukwatya
ayo a yukilako
fatulula eesenda meedola
nokupingafana ng: 200c=N$2
(omaindjipaleko ashike 100)
holola omaxwata oimaliwa
ikukutu e li li noku li li fiyo N$ 5
tai dulu okutukulwa i ete po
ondado yatumbulwa ng:
N$1.10=50c+50c+10c ile
N$1.10=N$1+10c
ulika okulanda nokulandifa
oinima fiyo opee N$20 to longifa
oimaliwa yokudanauka
nokuvalula oimaliwa nokuyandja
Tumbula nokutofa mo oimaliwa
aishe ikukutu naai yomafo N$10,
N$20, N$50 nokukundafana
omaukwatya ayo a yukilako
fatulula eesenda meedola
nokupingafana ng: 265c=N$2.65
holola omaxwata oimaliwa ikukutu e
li li noku li li fiyo N$ 5 tai dulu
okueta po ondado ya tumbulwa ng:
N$1.10=N$1+10c ile
N$1.10=N$1+10c
ulika okulanda nokulandifa oinima
fiyo opee N$50 to longifa oimaliwa
yokudanauka nokuvalula oimaliwa
nokuyandja oshendja mondjila
longifa oshendja moimaliwa yomafo
naai ikukutu tai dulu okuninga N$ 20
44
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO1 ONDODO2 ONDODO3
meedola ndee haku i
lumbakanifa)
oshendja mondjila
longifa oimaliwa ikukutu ndele to
shendje fiyo opee N$ 10 ng:
osha pula Esther N$11.50c a
landa oiimati. Okwa yandja N$20
defo. Okwa longa nokukonga
oshendja pakuweda kee N$!!.50c
fiyo a hanga peeN$ 20: N$
11.50c+N$5+N$2+N$1+50c=N$
20
shanga omusholondodo
woilandomwa tai ulike ondado ya
tengenekwa noku ka tala
eendado meefitola
ng: Paulus ota lande oikulya yee
N$37 ndele ta futu nee N$50 defo.
Okwa valula nokumona kutya
oshendja yaye oi fike peni paku
weda kee N$37 fiyo oteya/ ota fiki
peeN$50: N$37
+N$10+N$2+N$1=N$50
shanga omusholondodo
woilandomwa tai ulike/ i na ondado
ya tengenekwa noku ka tala
eemdado meefitola
yandja etengeneko lanafangwa
ondado yoinima ivali ng: N$
6.90+N$4.20
N$7.00+N$4.00=N$11.00
OMUTUNGILO
Omutungilo
woikwamalupe
Elalakano lelihongo Ovahongwa otava ka tofa mo, tumbula/luka nokunongonona elongifo lomalupe eembinga mbali (2D)nomalupe eembinga nhatu (3D)
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
45
NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO1 ONDODO2 ONDODO3
Tofa mo nokutumbula
omalupe eembinga mbali (2D)
omitungilo: ombine, ongonga,
ole nohukenhatu
mona nokutofa mo oinima
momudingonoko
yoolola nokutula moungudu
omitungilo domalupe (ngaashi
pombada) she likwateela
komaukwatya : oluvala,
ounene, omutungilo nouhapu
weembinga
faneka/ ninga omitungilolupe
nomaukwatya ado tava
longifa oitya ngaashi
dinginika, eembinga, eehuke,
sha yukilila ng: faneka/ninga
olee i na eembinga mbali
dixupi da yukilila neembinga
Tofa mo nokutumbula omalupe
eembinga mbali (2D): ombine,
ongonga,olee, ohukenhatu,
ohukenhatu yeembinga di fike
pamwe, omutungilo wei
mona nokutofa mo oinima
momudingonoko
yoolola nokutula moungudu
omitungilo di li li noku li li
(eembine, eengonga,
eehukenhatu, pendagon,
hexagon, octagon) she
likwatelela komaukwatya
omalupe: omuvalu weembinga,
omuvalu weehuke, (ovahongwa
inava pumbwa okushiiva loshitya
'pendagon', 'hexagon'
'nooctagon')
faneka/ninga omitungilolupe tadi
ulike omaukwatya a fimana ng:
faneka ooval (ongongayei) oyo
tai monika ya fa momutungilo
wei, faneka omutungilo
weembinga nhatu di fike pamwe
Tofa mo nokutumbula omalupe
eembinga mbali (2D): ombine,
ongonga, olee, ohukenhatu,
ohukenhatu yeembinga di fike
pamwe, omutungilo wei, oval
nopendagon
yoolola nokutula moungudu
omitungilo di li li noku li li, pendagon
she likolelela komaukwatya
omalupe, omuvalu weembinga, oule
weembinga, omuvalu womifinda (da
tavakana) omuvalu weehuke,
omuvalu weehuke da yukilila (right
angles)
(ovahongwa inava pumbwa okushiiva
oitya ei hexagon nooctagon)
faneka/ ninga omalupe tava ulike
omaukwatya a fimana, ng:
kwatakanifa outi/ ouhoni ve fike
pamwe moule va ete po olupe
lweembinga nhano
tofa mo eehuke dayukilila; tava
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NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO1 ONDODO2 ONDODO3
mbali dile da yukilila odo da
hangana ndee tadi ningi
eehuke nhee
eta po omafano
neemhatolona di na omalupe
tofa mo nokutumbula
omalupe eembinga nhatu
ongonga ya tenanana
nosho yoo eehuke dounene wa
faafana
eta po omafano neemhatolona di
na omalupe domalupe
tofa mo nokutumbula omalupe
eembinga nhatu da tenanana
longifa oilongifo yomauyelele (ohuke
yombapila, eemhatolona dodopi) va
mone eehuke momalupe omom vo
tava popi kutya ohuke ei oya kula,
oifike pamwe ile oinini i dulike
kohuke ya yukilila (right angel)
konakona omalupe opehovelo
eembinga mbali 2D ngaashi
eembine, eelee tashi pitile
momaukwatya a faafana (pakutonya
omalupe) ng: eembinga da
taalelafana dolee odi fike pamwe
eta po omafano neemhatolona mu
na omalupe a kwatelwa mo
omaukwatya omitungilo deembinga
mbali (2D)
tofa mo nokuluka omalupe
eembinga nhatu da tenanana,
Omufinda
wopokati
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NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO1 ONDODO2 ONDODO3
(sphere), ohukehatu, oprisma
yohukenhatu, okubike
okouna
yoolola nokutula moungudu
omitugilo deembinga nhatu
(ngaashi pombada) she
likwatelela komaukwatya ado
ng: odo tadi dulu
okungongola ile da fa tadi i
omufenu, odo tadi dulu
okukanyatela kumwe pa pita
ile ina pa pita omhwaka pokati
hokolola oinima yelifa tava
longifa oitya ngaashi:
Omingenge, eehuke, oipala,
yukilila, ngolyoka na tenanana
eta po oinima yoye mwene
(sphere), okubike, ocone,
osilindela nocuboid
yoolola nokutula moungudu
omitungilo yeembinga nhatu
(ngaashi pombada) she li
kwatelela komaukwatya : da
ngolyoka, da tenanana koipala,
omuvalu woipala, omuvalu
woipala yado
hokolola oinima yelifa tava
longifa oitya ngaashi:
Omingenge, eehuke, oipala,
yukilila, ngolyoka na tenanana,
dingonoka, shoukwatya wolee,
shoukwatya wohukenhatu
nashoukwatya wongonga
eta po omafano omitungilo
domalupe eembinga nhatu taa di
meembapila nomoinima ei hai
ekelwashi oyo tai dulu
okulongololwa.
osphere, okubike, osilindela, ocona,
oprisma yeehukenhatu, opyramid,
oprisma yolee nokukonakona
omaukwatya ado ng: oipala
yokodopi, oi li lee, osphere ohai
ngongola
yoolola nokutula moungudu
omitungilo yeembinga nhatu
(ngaashi pombada)she likwatelela
komaukwatya : omityo, omingenge,
da ngolyoka, da tenanana koipala,
pomhito opo omitungilo da tenanana
tava yandje omuvalu woipala
hokolola oinima yelifa tava longifa
oitya ngaashi: Omingenge, eehuke,
oipala, yukilila, ngolyoka na
tenanana, dingonoka, shoukwatya
wolee, shoukwatya wohukenhatu
nashoukwatya wongonga
eta po omafano yomitungilolupe
eembinga nhatu taa di meembapila
nomoyeekelwashi hai dulu
okulongululwa ng: oshipakete,oiti
neenailona
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NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO1 ONDODO2 ONDODO3
dimbuluka eehuke moinima yefiku
ng: keshe omitonyeno doshipakete,
okupenuna nokupata embo ile
okuyuulula nokwiidila omuvelo.
Olukalwa, eenhele
nomalinyengo oinima
Elalakano lelihongo Ovahongwa otava ka tofa mo omalukalwa, eenhele nomalinyengo oinima
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Hokolola oipambele
yomalukalwa oinima
novanhu tava longifa
elaka tali ulike
omalukalwa neembinga
domhepo ng; kombada,
koshi, pombada, poshi,
komesho,konima, pondje,
meni, popepi, pokati
Hokolola eenhele doinima ya
fanekwa mowaalita
vomauyelele ng: mokaalita
kongulu yofikola, oshitaafula
shange oshi li kolumosho
Konga mo nokuhokolola eenhele
doinima yafanekwa mowaalita
veenhele di shiivike nawa ng:
mokaalita kokapale
kokudanaukila, omuti wa kula ou
li konima yofifiya yomeva,
Ongulu yofikola oi li kolumosho
lomuti
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NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO 1 ONDODO 2 ONDODO 3
OKUONGELA OMAUYELELE
Ografika yomafano,
oumhungu nografa
yokudidilika (youmhungu)
Elalakanolelihongo Ovahongwa otava ka ongela, longekida, ulika nokufatulula ouyelele
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
Omapyokoko Ovahongwa va dule oku:
tula oinima moungudu
paengudu nokuluka
okangudu keshe ng: eetuwa
di nini,omatalaka nsh.t
ongela ouyelele tau wapalele
kenenediladilo nokuu
longekida nokuu ulika
kografika yomafano, ng:
ouhapu noludi loiholikenima
yovahongwa
fatulula ouyelele wa yandjwa
va mone ouyelele wa wedwa
po nokukundafana osho va
mona po ng: okutala
kografika yomafano,
ovahongwa vangapi ve hole
okudanauka okatanga
ongela, longekida nokuulika
kografika yomafano, ouyelele
tau wapalele kenenediladilo ng:
omaludi oiimati/ oihape
fatulula nokundjadjukununa
ouyelele va mone ouyelele wa
halika, nokukundafana osho va
mona po ng: okutala kografika
yomafano, ovahongwa vangapi
va lya omaapula oshivike eshi?
ongela longekida nokuulika ouyelele
tau wapalele kenenediladilo tava
longifa oumhungu, eegrafika
domafano neegrafa dokudidilika ng:
onomola nomaludi oudila tava
monika momidingonoko davo
fatulua nokundjadjukununa ouyelele
wa halika, nokukundafana osho va
mona po ng: okutala kografa
yokudidilika; otwa mona omaludi
oudila e li angapi?
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NIED Syllabus: Mathmatics Junior Primary Phase 2014
OIPALANYOLE ONDODO 1 ONDODO 2 ONDODO 3
kokeemhadi?
longifa oiyelekifo yongaho
nokushanga oidjemo
kografika yomafano ng:
outuviko vomakende tava
longifwa okumeta oinima
longifa omushangwahokololo
noupunaitya tau wapalele ngeenge
tava ndjadjukununa eegrafa ng:
shinini, shihapu, omalufe, holoka,
sha sha, okunenepala, okuninipala
nokukanghama
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NIED Syllabus: Mathmatics Junior Primary Phase 2014
10. Etaloshiivo
Opo omapyokoko mahapu a yooloka noopaendodo da yooloka a dule okudidilikwa, omikalo
da yooloka detaloshiivo la twikilafana oda pumbiwa meendodo dopedu opo ku yandjwe
efano le lixwapo kombinga yeyo komesho lomuhongwa. Etaloshiivo la twikilafana (CA) nali
kale la yela, la fatuka, ta li dulu okupondolwa nolelikolelela komilandu neenghedi
domuhongwa oye ta dana onghandangala
Omapyokoko omo mufindahongo otaa tongo eudeko nounongo omuhongwa e na okuulika,
notaa ka konwakonwa muwo. Ashike, oshilalakanenwa osho omufindahongo u kale tau
wilikwa kelihongo, ndele hake konakono.
10.1 Elalakano letaloshiivo
Elalakano letaloshiivo la twikilafana okuulika ouyelele u shi okulineekelwa nouna oshilonga
nghee ovahongwa va pondola omapyokoko. Ouyelele ou nau longifwe u yandje oidjemo
kovahongwa kombinga yeenghono nomaunghundi avo mehongo; openi va ninga nawa,
openi va pumbwa okulundulula nota ve shi ningi ngahelipi. Ovadali nava shivifilwe luhapu
momushangwahokololo wofikola wopambelewa kombingaa yeyo komesho lovana vavo.
Nava tuwe omukumo va kale hava yandje omapapa ngeenge ovana va pondola nawa,
nokuyambidida ehongo lovana vavo.
Etaloshiivo la twikilafana ohali kwafele yo ovahongi va xwepopeke okuhonga kwavo ndee
tava yandje elihongo liwa kovahongwa. Oshishonekwa shetaloshiivo nashi talike ko ongo
etaloshiivo opo ku lihongwe, ndee ha taloshiivo laashi she lihongwa. Fye ohatu konakona tu
mone oukwatya wolela womuhongwa keshe nghee tahange omapyokoko opo tu
xwepopaleke ehongo/elihongo lomuhongwa, hatu shi ningi mokuyandja omayambididohongo
nokukonakona eenghedi detu dokuhonga.
10.2 Omaludi etaloshiivo
Etaloshiivo inalisheywa/inali longekidwa: omuhongi oku na okukonakona nawa nhumbi
omuhongwa keshe a hanga omapyokoko oo a hokololwa momufindahongo wOmwaalu,
ndele ta mono nhumbi omuhongwa tai komesho. Unene, eshi otashi dulu okuningwa
momukalo inau sheywa tashi dilile mokukonakona eyokomesho lomuhongwa keshe
melihongo, nokulideula meenghedi donhumba manga tava konakona, tava fatulula
oiningwanima, tava longifa eshiivo, tava kwatafana, tava ningi omakonakono nosho yo
ekufombinga lavo moinima yakwalushe.
Eshi otashi ti okunongonona elihongo lomuhongwa nelalakano loku konakona eshi hatu
hongo nokudidilika eshi tuwete. Ovahongi ohava nongonona ovahongwa aveshe
momukokomoko woshihongwa shomuvalu. Ohava didilike ou e litula mo naao ine litula mo,
olyelye ha dulu okulonga sha memanguluko naao ta nane noudjuu ngeenge ta longo sha
kuye mwene. Pakupula omapulo, ovahongi ohava mono ou a uda ko oikwamivalu naao ehe
udite ko. Mokutalela oinyangadalwa, otava dulu okudidilika kutya olyelye ta dulu okumana
oshinyangadalwa nokulongifa ounongo neshiivo loikwamivalu, naao ita dulu. Ekufombinga,
elitulemo nomawedelepo omuhongwa moilonga youngudu nalo oha li nongonowa.
Etaloshiivo la sheywa/la longekidwa: Etaloshiivo eli ola kwatela mo oku eta po eenghalo
doku konakona ngaashi oukonakono vounongo pafiyafano (ouuizzes), oukonakono vaxupi,
oukonakono vopakanya, neembapila dokulongela (worksheets). Eembapila dokulongela
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NIED Syllabus: Mathmatics Junior Primary Phase 2014
(worksheets) ohadi kwafa unene notadi dulu okulongifwa koshipelende ile mombapila. Osha
fimana ovahongi va longekide etalooshiivo opo va konakone ovahongwa ndee tava yandje
oitwa koshiyelekifo shoitwa 6.
Elongifo lomakonakono lopambelewa, pakushanga nopakanya otali dulu ashike kukonakona
omapyokoko amwe po, onghee inali pumbwa kulongifa efimbo lihapu. Oukonakono vaxupi
nava ningilwe motundi yOmwaalu ndele tava talika ko onga oinyangadalwa yOmwaalu.
10.3 Omafatululo omadidilikondada
Omufika womuhongwa mokupondola wa yelekwa nomapyokoko omomufindahongo
wOmuvalu owa ulikwa noitwa yomadidilikondada. Ngee oitwa yomadidilikondada ya
yandjwa, osha fimana i ulike lela omufika wepondolo lomuhongwa mekwatafano
nomapyokoko. Meendodo 1-3, omadidilikondada okwe li kolelela koshiyelekifo shoitwa
ihamano. Ekwatafano pokati komadidilikondada nomapyokoko ola ulikwa ngaashi tashi
landula:
Edidilikon
dada
% onhengekelo
yeepelesenda
(ondodo 1-12)
Efatululo lomapyokoko
A 80%+
Okwa hanga omapyokoko aeshe nawa kuhe na vali.
Omuhongwa nokwa hanga omapyokoko aeshe nawa
kuhe na vali
B 70-79%
Okwa hanga omapyokoko aeshe nawa unene.
Okupondola kwomuhongwa okuli pombada lela yoitwa
yopokati yapumbiwa, ye okwa funda moitukulwa ihapu
yomomapyokoko
C 60-69% Okwa hanga omapyokoko nawa. Omuhongwa okwa
deuka momapyokoko shawana
D 50-59%
Okwa hanga omapyokoko sha wana. Okupondola
kwomuhongwa otaku tu kumwe noitwa yopokati
yapumbiwa. Omuhongwa otashi shiiva apumbwa
eyambididohongo moitukulwa imwe po.
E 40-49%
Okwa hanga ashike imwe po yomomapyokoko a
talike ko ongo apyokoka. Omuhongwa i na hanga
omapyokoko aeshe, ashike epondolo lomuhongwa ola
wana kukoya omapyokoko opedu. Omuhongwa okwa
pumbwa eyambididohongo moitukulwa ihapu yelihongo
U 0-39%
I na hanga ondodo yasha. Omuhongwa i nadula
okuhanga omapyokoko opamufika wopedu, nonande
okwa kwafelwa lela komuhongi. Omuhongwa okwa
pumbwa lela eyambididohongo
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NIED Syllabus: Mathmatics Junior Primary Phase 2014
10.4 Omifindalandu domoule detaloshiivo (tali) la twikilafana
(omafatululo aa otaa dulu okumonika mOmufindalandu wOpashiwana wEhongo lopedu)
Etaloshiivo oli na okukala oshitukulwa shomelongekido loshihongwa neenghedi dayela
dokukonakona nadi tulwe po. Pefimbo lotundi yoshilongwa nomanhga ovahongwa tava ningi
oinyangadalwa yomongulu, omuhongi ota ningi etaloshiivo la twikilafana la sheywa naalo
inali sheywa momapyokoko aeshe a yooloka moilongwa aishe. Meendodo dopedu,
etaloshiivo ole li kolelela koiyelekifo. Ngee oitwa yomaadidilikondada ya yandjwa, osha
fimana i ulike lela ondodo yepondolo lomuhongwa mekwatafano nomapyokoko.
10.4.1 Etaloshiivo tali twikile ina li sheywa/longekidwa
Etaloshiivo inali sheywa otali ningwa tashi pitile menongonono loukeka nomoididilikwa ya
shangwa (tala oshihopaenenwa 10.4.3). Eshi otashi ti kutya, mangha ovahongwa ve
lipyakidila noinyangadalwa yoshihongwa, omuhongi ota didilike omapondolo nomaunyengwi
mombapila yomusholondodo womadina ovahongwa nhumbi tava konakonwa. Osho sha
didilikwa ota shi wilike elongekido loileshwa yokomongula, eemhumbwe deyambididohongo
no nhumbi taku tukulilwa oitwa yetaloshiivo la twikilafana la sheywa. Inashi pumbiwa
kunyolwe omahokololo komapyokoko aeshe, okangobe ashike ka ulike kutya omuhongwa
okwa likola ounongo/owino. Ashike ngeenge omulongwa ta nyengwa, ouyelele wa shangwa
tau ulike ounyengwi waye nomhumbwe yaye yeyambididohongo owa pumbiwa.
10.4.2 Etaloshiivo tali twikile la sheywa/longekidwa
Etaloshiivo la sheywa/lalongekidwa ohali ningwa konima yexulifo
lenenediladilo/oshipalanyole ile ngeenge oshikalimo shonhumba sha pumbwa ekonakono
mangha oshileshwa shipe inashi hovela. Ovahongi otava dulu okuyandja oukonakono vaxupi
vopakanya ile vopakushanga ile oukonakono vounongo pafiyafano (quizes) momukokomoko
woshikako. Omuhongi na yandje oitwa yo ko10 .
Momataloshivo/omakonakono mahapu aningwa, etaloshivo/ekonakono ashike limwe
lasheywa tali didilikwa. Etaloshivo na li ningwe pefimbo leetundi doihongwa. Eshi otashi ti
KAKUNA ovahongwa veendodo dopedu (meendodo 1-3) tava ka kala ve na “oshivike
shokakonakono” ile “elandulafano lefimbo lokakonakono” olo ovahongwa tave li hongele
oukonakono.
Oitwa yetaloshiivo la sheywa ohai didilikwe meefoloma dokudidilika etaloshiivo la twikilafana.
Kexulilo loshikako, oitwa yoshihongwa keshe ohai wedwa kumwe mokakololo “koitwa aishe
kumwe”. “Oupokati” omuvalo “woitwa ya wedwa kumwe” wa tukulwa nomuvalo
womataloshiivo ayandjwa. Omipambulwavalu nadi ulikwe, ng: 3.2. Oshitwa “shoupokati”
otashi kokelwa ndee tashi ningi ondodo/oshitwa ngaashi sha ulikwa mo 10.3 ng: 2.8 = 3 nsh.t
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NIED Syllabus: Mathmatics Junior Primary Phase 2014
11. Omafatululo
Analytical- okuuda ko oshinima shonhumba nokushi tukula
paunghulungu
Angle- omutungilo oo wa ningwa/tungwa po ngeenge omifinda di li
mbali da yukilila da shakena ile da tetafana, tapa yelekwa
meedigree (eehuke)
Area- ouhapu wonhele/womhito/womhwaka wa fiwa po ile
wonhele ile omutungilo wa uvikwa /wa kwatelwa mo
Cognitive- okukula meendunge/pamadiladilo (oshi na sha neendunge)
Omapyokoko – omaunongo haa dulu okuyelekwa, a talika ko ongo
afimana/apumbiwa mokuninga sha ile moku hanga omufika
wonhumba
Concepts- omanenedilladilo oo a kwatela mo osho sha fimana
koshinima shonhumba
Concise- sha ngongwa pauxupi ngaashi tashi dulika
Etaloshiivo la twikilafana - eyeleko leyokomesho lovahongwa le li kwatelela koilonga
oyo hava longele mongulu yofikola ile oukonakono/oupulo
ovo va ninga momukokomoko woshikako ile womudo, shi
dulife eshi tava yelekwa/konaakonwa mekonakono limwe
alike
Convinience- shipu lela
Oitavakani/Oikambakani- omauyelele ena sha neshiivo, omaunyakwa, omanene
dilaadilo, nomikalo dopovanhu, tai dulu okulongifwa
moilongwa ihapu yofikola
Diversity ou lili wominghoko, osho yo ou lili wovanhu moyuuyemo
nomoshiwana, oulili woukakwashike koo okanhu mengungo
ile moshiwana shonhumba
Equilatral triangle- ohukenhatu oyo eembinga dayo adishe di na oule u fike
pamwe/ wa faafana
Etengeneko- okutengeneka ile okufekela omavalulo onhumba okutungila
komafekelo onhumba
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NIED Syllabus: Mathmatics Junior Primary Phase 2014
Globalisation exumifo komesho nehovakanifo mounyuni aushe la etifwa
kounghulungu nomakwatafano a xwepopala, omafimbo
amwe oha shi eta ekano loukwatya womufyuululwakalo
wopanhu
Hexagon- omutungilo weembinga hamano odo di fike pamwe moule
(Inclusivity) Ekwatelemo laaveshe - onghatu yokukwatelamo keshe umwe
Omifika Delihongo – omishangwa daasho ovahohongwa ve na oku kala vashiiva,
nokudula kuninga molwa ehongo lavo kexulilo lefimbo
lonhumba, ng: kexulilo lo ndodo yopedu. Ohai ifanwa yoo
“Omifika doikalimo”. Omufika welihogo owa tongomona osho
ovahongi ve na okuhonga naasho ovahongwa ve na
okulihonga
Mainstreem schools - eefikola odo dina eenghedi do kuwanifa po eemhumbwe
dovahongwa ovo vehe na oupyakadi melihongo. Ofikola
keshe oyo ihe fi ofikola yelikalekelwa
Multiple step problems – eenghatu neenghatu odo da pubwa okulongifa
mekitakanununno/mepotokonono lomikundu
One-to-one correspondence- okutwifa kumwe
Octagon – ( ) omutungilolupe weembinga hetatu odo di na oule u fike
pamwe
Oshityamuvalo shikulafano – eenomola ngaashi 'shotete' ile 'oshitivali' odo hadi ulike
eenhele doinima momusholondodo wa ninga elyenge
Place value- ongushu yonhele
Pentagon- ( ) omutungilolupe weembinga nhano odo di na oule u fike
pamwe
Rectangle- ohuke yeembinga adishe di li nhatu di li/da ama kolulyo
Reinforcement - (enghonopeko) okunghonopeka omukalo wokulihonga
Right Angle- ohuke yeedegree 90
Elilongekido lofikola/Eepologalama
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NIED Syllabus: Mathmatics Junior Primary Phase 2014
delongekido lehovelo lofikola omilandu da longekidilwa ovahongwa vondodo yo 1
moNamibia, shadimbulukiwa kutya ovahongwa vahapu oha
ve likola sha, omanga inava hovela oilonga oinyangadalwa
yondodo yo tete. Opologlama ei oya etwa po opo ku kwafwe
ovahongwa va mone omawino nounongo wa pumbiwa
melihongo la longekidilwa ondodo oyo
Sequence- oinima ya landulafana noi na ekwatafano I li melandlafano
Spatial- mekwatafano nomhito
Sphere- oinima yeembinga nhatu da tungwa po da fa etango (didilika
sphere ohai ningi omawi ngaashi 'apa')
Subtise- (okupingenapo)- okudimbuluka onomola yoinima ya ongelwa
pehe na evalulo lasha
Thematic links- (Omakwatakanifo ehovakanifo ) omakwatafano komadiladilo
a faafana ile oipalanyole melihongo loilongwa ikwao
Threedimensional (3D) figure - oshinima osho shi na oule, omutamo noule wokuya medu ya
fa oinima I li mounyuni
Traditional clock- ovili oyo I na outi voku ulika eevili nominute neenomola.
Two dimensional (2D) shape- omitungilo deembinga (ngaashi omutamo noule) nounene
Vertices- oitwa yaC opo omifinda mbali da hanganena/shakena
pohuke/pongolonela
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NIED Syllabus: Mathmatics Junior Primary Phase 2014
The National Institute for Educational Development Private Bag 2034 Okahandja NAMIBIA Telephone: +64 62 509000 Facsimile: +64 62 509033 E-mail: [email protected] Website: http://www.nied.edu.na © NIED 2014