MINISTRY OF EDUCATION JUNIOR PRIMARY PHASE … · keshe e limonena meumbo, kovakwanedimo vaye,...

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Republic of Namibia MINISTRY OF EDUCATION JUNIOR PRIMARY PHASE FOR IMPLEMENTATION: 2015 MATHEMATICS SYLLABUS GRADES 1 3 OSHIKWANYAMA VERSION

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

46

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