Ukufunda Ngokomzwelo Komphakathi Ngokuthula, Ukulingana, Nobulungiswa

Noma yiziphi izihloko zomhlaba Itiye Ubuchwepheshe Ikhofi Water Energy Imali Nokufunda Kwezimali Umculo Ukuhamba, Ukucabanga, I-Yoga Nempilo Yengqondo Universe Ubuciko Nomdanso Izinto nokusetshenziswa Ukudla nokulima Umhlaba, Ezemvelo Nesimo Sezulu leticocwako Ukufundisa Nokufunda Ezempilo, Ukuphila kahle nokudla okunomsoco Imfundo & Isikole Ubuholi, Umphakathi Nezomphakathi Ibhizinisi Nezomnotho Ubuntu Nobuntu

Noma iziphi izihloko zezibalo Isibalo nokungalingani Isingeniso Izici zezinombolo Ukusebenza Nokucabanga Kwe-Algebraic Ama-Percents Izinombolo Ezimbi Angles Shapes Izibalo wesimethri Ama-Multiple & Factors ubude Amaphethini Isisindo Ukucabanga Kwezezimali Ukuzikhipha Ukusebenza Kwezibalo Idatha Nezibalo Isikhathi Indawo ne-Perimeter Ama-factor & Multiples & Amaphethini Okungenzeka division Amaphesenti Ukwengezwa I-Algebra Rates Okuguqukayo Nezisho Isingeniso ivolumu Amathebula namaGrafu Amanani & Isilinganiselo Ukuphindaphinda Izilinganiso Ukucabanga kwe-Algebra Amaphesenti Indawo Value & Rounding Value Yendawo & Amadesimali Ama-Decimals Inani Lendawo Ukwengeza nokususa ngaphakathi kwe-100 Ukulinganisa neJiyomethri Jiyomethri Ukwengeza nokususa Ukuphindaphinda nokuhlukanisa Izingxenyana Ukulinganisa nedatha

Noma yiziphi izihloko zokufunda nokubhala Ukucabanga okubucayi Ukuqoqwa kobufakazi Ukuhlambalaza Inhloso Yomlobi Ukuqonda nokusebenzisana

Noma yimaphi amazinga ebanga lezibalo General Umhlaka 5 - 7 K - wesibili 1 - 3 Okwesibili - 2 Umhlaka 4 - 6 3 - 5

Noma yiziphi izinjongo zezibalo Ukuphindaphinda idesimali nenombolo ephelele Ukuhlukanisa amadesimali ngezinombolo eziphelele Izilinganiso Ukwengeza kwedesimali Ukukhipha nokuphindaphinda Bhala uhumushe izinkulumo zezinombolo Sombulula izinkinga ezibandakanya ukukala nokuguqulwa kwezilinganiso Melela izinombolo ezibandakanya ukuphindaphinda nokuhlukanisa Khipha kungakapheli ama-20 Linganisa isikhathi esithathayo ukuqedela imisebenzi Izibalo ezibandakanya isikhathi Khomba ama-engeli Sebenzisa i-protractor ukukala ama-engeli Bala ipherimitha yesimo esinikeziwe Sombulula izinkinga zamagama ukubala indawo nendawo yomuntu ngamunye Sombulula ama-porblems wamagama ahlobene nevolumu (ukwahlukana nezingxenyana) Ukuhlukanisa izingxenyana zamayunithi ngezinombolo eziphelele Ukuhlukanisa izinombolo eziphelele ngamafraktri eyunithi Izinkinga zamagama ubude Qhathanisa imibuthano Bala indawo nobubanzi nobubanzi bemibuthano Khomba ubujamo be-2D ne-3D Bala indawo engaphezulu Susa izingxenyana Dala izingxenyana ezilinganayo Khomba bese uqhathanisa izilinganiso Qhathanisa indawo kanye nomjikelezo wobunjwa obuhlukahlukene obuhlukahlukene Qhathanisa izindawo zezimo ezingajwayelekile Shintsha ubujamo obuyisisekelo ukuze wakhe amaphethini wokuthayela Thola izingxenye eziyingxenye ephelele noma isethi enikeziwe Xazulula izinkinga zamagama ngokususelwa kuzingxenyana Ukwakha nokuxazulula izibalo ze-algebraic nge-1 engaziwa Ukwakha nokuxazulula izibalo ze-algebraic okungaziwa okungu-2 Ukwakha Imidwebo yeVenn Izinkinga zokususa ezinamadijithi owodwa namabili nantathu Humusha idatha futhi wakhe igrafu yomugqa Izinkinga zamagama ezingeziwe ezilula Izinkinga zamagama ezihlobene nesikhathi Yakha futhi uxazulule izibalo ze-algebraic Dala amatafula wokuphindaphinda Ukuqhathanisa noku-oda nokwenza imisebenzi Qalisa izilingo ezingahleliwe futhi uthuthukise amamodeli okungenzeka Sombulula izinkinga zamagama ezihlobene nejubane / ibanga / isikhathi Sombulula izinkinga ezihlobene nevolumu usebenzisa yonke imisebenzi Thola ubudlelwano / ukuguqulwa phakathi kwamayunithi wokulinganisa ivolumu Khombisa amadesimali njengezingxenyana Xazulula iyunithi lokulinganisa izinkinga zamazwi ngamadesimali Melela izingxenyana kanye namadesimali namadesimali njengezingxenyana Thola ukuphindaphinda kwenombolo enikeziwe Thola ukuphindaphinda okuvamile kwanoma yiziphi izinombolo ezi-2 ezinikeziwe Thola ukuphindaphinda okuvamile kwanoma yiziphi izinombolo ezi-3 ezinikeziwe Thola izici zenombolo enamadijithi ama-2 usebenzisa amasu amaningi Thola izici ezivamile phakathi kwanoma yiziphi izinombolo ezi-2 ezinikeziwe Xazulula izinkinga zamagama ngokususelwa kumqondo wezinto nokuphindaphindeka Phindaphinda izingxenyana Ukuphindaphindwa nokwengeza izinkinga zamagama ezibandakanya ivolumu Sombulula izinkinga zempilo yansuku zonke ngokuhlukaniswa kwamadijithi owodwa Yakha umuthi wamathuba wesimo Bala ivolumu yamasilinda Dala ubujamo obuhlukile bevolumu efanayo Bala bese uqhathanisa izisindo zezinto Guqula izinsimbi Sebenzisa amaphesenti ukuxazulula izinkinga zamagama Ukususa okuyisisekelo kungakapheli ama-20 Indawo nempahla yokusabalalisa Kwethulwa ipherimitha Umjikelezo Sombulula izinkinga zamagama ezibandakanya amanani Melela idatha kumagrafu ebha namashadi wophayi Igrafu bese uqhathanisa imisebenzi y = mx Ukuphindaphinda amadijithi amabili ngenombolo eyodwa Humusha idatha kumathebula Derive negrafu y = mx umsebenzi Thola umugqa wesimethri wanoma iluphi uhlobo olunikeziwe Dweba umugqa wesimethri wanoma isiphi isimo Hlukanisa phakathi kwezibalo ezihambisanayo nezingalingani Amadesimali ngefomu enwetshiwe Ukuhleleka kokusebenza Okuqinile kweJiyomethri (ubujamo be-3D) Indawo engaphezulu Isingeniso samaphesenti Ukuguqulwa kwamaphesenti wedesimali Izinkinga zamaphesenti Amaphesenti wezinkinga zamagama Izindawo zama-parallelograms Amadesimali ngefomu enwetshiwe Isingeniso kuma-ratios Izinkinga zamagama okulinganisa Isingeniso kumanani Okushiwo futhi okuphakathi Izici zezinombolo Okuphindwe kaningi okuvamile Isici esivamile kakhulu Iziza zamachashazi namatafula wemvamisa Imibuzo yezibalo Ama-histogram Ukungeza nokususa ama-decimals izinkinga zamagama Yethula izinombolo ezingezinhle Amadesimali amabi nezingxenyana kulayini wezinombolo Izinombolo eziphikisanayo Ukuqhathanisa izinombolo ezingezinhle Izisekelo zokulinganisa ze-Algebraic Intuition yesilinganiso esisodwa Ukwengeza kwesinyathelo esisodwa nokususwa kokulinganisa Izinkinga zamagama wesilinganiso esisodwa Isingeniso endizeni yokuxhumanisa Ukudidiyela izinkinga zamagama endiza Bala amathuba ezehlakalo ezehlukene Ukusatshalaliswa kwebanga eliphakathi neliphakathi neliphakathi nobubanzi be-interquartile Hlukanisa izingxenyana nezinombolo eziphelele zezinkinga zamagama Phindaphinda izingxenyana nezinombolo eziphelele zezinkinga zamagama Izilinganiso nobudlelwano obulinganayo Izilinganiso ezilinganayo Isebenzisa ama-ratios Ukwahlukaniswa kwezinombolo ezinamadijithi amabili Ukulinganisa ipherimitha Indawo Indawo Ehlanganisiwe Ukufaka nokuhlaziya izinkulumo Izingxenyana kulayini wezinombolo Amaphesenti nezilinganiso Izici nokuphindaphindeka Izinombolo eziyinhloko nezinhlanganisela Amaphethini wezibalo Ukungeza / ukukhipha ngokubukeka izingxenyana Ukungeza / ukukhipha inombolo exubile ngokungafani nenani elingaphezulu Ukulinganisa iMisa Kulinganiselwa ivolumu Ukulinganisa Ubude Izinkinga zokuhlukanisa ezisebenza kahle Iguqula amayunithi wesikhathi Imigqa kanye nezingxenye zemigqa nemisebe Kufana futhi kuyingqayizivele Umugqa wesimethri Ukuphindaphinda nokuhlukanisa nezinkinga zamagama U-10 uhlobene kanjani nenani lendawo Izindlela zokubhala izinombolo (ifomu elandisiwe nefomu elibhaliwe) Ukuqoqa izinombolo eziphelele Ukuphindaphindeka kwamaqhezu Ukubhala kabusha izingxenyana njengamadesimali Ukuphindaphindeka nokuhlukaniswa kwamandla we-10 Ukuqhathanisa amanani endawo yedesimali Amadesimali wokujikeleza Ukuphindaphindeka nokuhlukaniswa kwamadesimali ngo-10 no-100 no-1000 Ukuthola ivolumu Idatha Inkinga yamagama ubude Isingeniso sevolumu Ukuguqulwa kwesigungu Bola izibalo ukuze uthole indawo Ukuqhathanisa indawo nomjikelezo Izinkinga zamagama ezungezwe Imisa Izingxenyana nezinamba eziphelele Isingeniso sokubeka inani Ukuqhathanisa izinombolo zamadijithi amaningi Ama-engela emibuthanweni Ukuhlukanisa ubujamo bejometri Ukungeza nokususa izingxenyana ezinamagama afanayo Ukungeza nokususa izingxenyana: izinkinga zamagama Ukuphindaphindeka kwamaqhezu eyunithi nezinombolo eziphelele Ukuhlukanisa izingxenyana nezinombolo eziphelele zezinkinga zamagama Ukuphindaphindwa: inani lendawo namamodeli endawo Amadesimali vs. izingxenyana Ukuguqula ama-decimals abe izingxenyana ezithile Isingeniso se-engela Ukungeza izinombolo ezinamadijithi amaningi Isusa izinombolo ezinamadijithi amaningi Ukwahlukaniswa: inani lendawo nendawo Linganisa umjikelezo wezimo ezingajwayelekile Sombulula izinkinga zamagama ukunquma ukwehla kwephesenti Ukuqhathanisa nokuphindaphinda Izinkinga zezwi zemali Izikhumbuzi Iguqula amayunithi wevolumu Izinkinga zokuguqula amagama Ukubola izingxenyana Iziza zomugqa ezinamaqhezu Ukuphindaphinda izinombolo eziphelele kanye nezingxenyana Ukuphindaphinda izinombolo eziphelele namaqhezu: izinkinga zamagama Iguqula amayunithi wesisindo Iguqula amayunithi wobude Phindaphinda ukuthola indawo Indawo nempahla yokusabalalisa Ukujikeleza Izinkinga zamagama wokulinganisa amayunithi Amaphethini ezinombolo Ukuphindaphindeka kwamaqhezu / izinombolo eziphelele izinkinga zamazwi Ukuphindaphinda izinombolo ezixutshiwe Sombulula izinkinga zamagama ukunquma ukwanda kwamaphesenti Ukuqhathanisa amadesimali ngokubukeka Amadesimali amakhulu kuno-1 Indawo ne-perimeter Ukulinganisa ama-engeli Ukwakha ama-engeli Izinhlobo ze-engela Ukungeza nokususa izinombolo ezixutshiwe Ama-engeli abola Kwethulwa amadesimali Amadesimali kulayini wezinombolo Izinhlangano ezijwayelekile Ukuqhathanisa izingxenyana ezingafani nhlobo ngokubukeka Ukuqhathanisa izingxenyana ezingafani nhlobo Ukungeza / ukukhipha izingxenyana ezingafani nhlobo Ukungeza / ukukhipha izingxenyana ezinezinkinga zamagama ezingafani nhlobo Izinkinga zamagama ezinyathelo ezimbili Izingxenyana ezilinganayo kulayini wezinombolo Bala amayunithi wezikwele ukuthola indawo Intuition yendawo yefomula Ukuphindaphinda nokuhlukanisa izinombolo eziphelele ngo-10 no-100 no-1000 Amandla we-10 Ukuhlukaniswa kwamadesimali Ukuphindaphindeka kwezingxenyana zezinkinga zamagama Ukuqoqa kabusha izinombolo zedesimali Ukukhipha kungakapheli ama-20 Isingeniso senani ledesimali Ukuphindaphindwa njengokukala Intuition yenani lesichasiso Ukuhlola izinkulumo amagama anezinkinga Ukubhala izinkulumo ze-algebra Ukubhala izinkulumo zamagama ze-algebra Amafrakshini njengokuhlukaniswa Izinqunto ezibhalwe phansi Ukuthola amayunithi wamayunithi Izinombolo 0-120 Ukuqhathanisa izinombolo ezinamadijithi amabili Ukungeza amadesimali Kususa amadesimali Landisa ukungezwa nokususwa Ukuqhathanisa izingxenyana zama-wholes ahlukene Itafula lokuphindaphinda Amaqiniso wokwahlukanisa Ukulandisa ukubuyabuyelela nokwehlukanisa Oneshumi Ukungezwa kungakapheli ama-20 Isusa u-1 no-10 Uphawu olulinganayo Ukwengeza okuphindiwe Ukukala ubude Ukuqhathanisa nokulinganisa ubude Izici zokuphindaphinda Ukukhipha kungakapheli ama-100 ivolumu Amaqiniso wokuphindaphindwa Ukuhlukanisa onxantathu Yeqa ukubala Ukungeza u-1 no-10 no-100 Izinombolo ezixutshiwe Ukuqhathanisa izinombolo ezinamadijithi amabili Izinkinga zamagama zingakapheli i-100 Ubude nosayizi Qhathanisa izingxenyana Ukungezwa kungakapheli ama-100 Imali Ukuphindaphinda ngo-10s no-100s no-1000s 100s Isusa u-1 no-10 no-100 Amasu wokungeza nokususa ngaphakathi kwe-100 Izingxenyana ezinama-10 no-100 Xazulula izinkinga zokuphindaphindeka kwamadijithi amaningi Ama-Quadrilaterals Ukuphindaphindeka kwamaqhezu nezinombolo eziphelele Ukuphindaphindeka kwamadesimali Isingeniso sokususa ngezinombolo ezinamadijithi amabili Kusetshenziswa ukuhlangana kabusha ukususa phakathi kuka-1000 Inombolo elahlekile kungakapheli ama-20 Izinkinga zamagama zingakapheli i-20 Izingxenyana ezilinganayo Ukuthola amaphesenti Izingxenyana ezivamile namadesimali Ukuphindaphindeka kwamadijithi amaningi Ukuhlukaniswa kwamadijithi amaningi Izinkinga zenani lokungezelela nokususa lilahlekile Amaphethini ku-arithmetic Ukungeza ngokuhlangana kabusha ngaphakathi kuka-1000 Ukuphindaphindeka ngamashumi Amasu wokungeza izinombolo ezinamadijithi amabili nantathu Ukuqhathanisa amadesimali Ukubhala izinkulumo Amasu wokungeza izinombolo ezinamadijithi amabili- no-2 Ukutshela isikhathi Ukungeza u-1 no-10 Isikhathi Izingxenyana zezimo Isingeniso sokungezwa ngezinombolo ezinamadijithi amabili Shapes Izinkinga zamagama ngokuya ngokwanda Iziza zomugqa Amagrafu esithombe Amagrafu ebha

Noma iziphi Izifundo Zomphakathi Ukuzibandakanya komphakathi I-Geography Izenzakalo zamanje Amasiko Ukuxhumana Komhlaba I-Ethnography Izepolitiki

Noma iyiphi SEL Amakhono Ukwakhiwa Kokuthula Ukulingana Ukuphatha ukucindezeleka Ukufakwa & Ukuba ngowakho Ukucabanga Nokuzindla Ukuqaphela Ukuchema Ububele Iyashintsha Ilukuluku Ukubambisana Ukucabanga Kwemvelo Ukufeza Amaphupho Creativity Ilondoloza Umphakathi Ukuzibandakanya Komphakathi Ukuqwashisa Komphakathi Ukubhekana Nezinselelo Ukuthatha Ukubheka Uzwela Ukwazisa Ukwehluka Ukuhlonipha Abanye Self-Ukuqwashisa Ukucabanga Ukuhlaziya Izimo

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