Tsa Ka Gare: 1) Dipalo Ga Di Fele [Mehuta ya dipalo ya go fapana ke "tsa go bala dilo (natural numbers)", "tsa kganetso le tsa kgonthe tseo di feleletseng (whole numbers)", "diripana tseo re di ngwalang ele palo ya go felela ka godimo le ka tlase (rational numbers)" le "diripana tseo re sa kgoneng go di ngwala ele diratio (irrational numbers)", le ye mengwe. Palo ya dipalo mo molokolokong ke "yeo e sa feleng" (infinity).] 2) Ditatelano [Ge dipalo di latelana ka mokgwa wo o itseng wa go swana, re di bitsa molokoloko (sequence).
Mehlala ke "tseo di lekanetseng (even)", "tsa nthla (odd)", ditriangular numbers, disquare, dicube, difactorial, le tse dingwe]. 3) Medu [Go nyaka medu (roots) eleng go arola gape le gape, ke mosongwana mo bobading wo o dirollang mosomo wa diexponent eleng go atisa gape le gape. Bjalo ka ge go hlakantsha go dirolla ke go ntsha, gomme go atisa go dirolla ke go arola]. 4) Masome le Masongwana [Boramahlale ba somisa dipalo tse dikgolo-kgolo le tse dinnyane-nnyane kgafetsakgafetsa.
Ka ge dipalo tse di na le dipadi tse dintshi kudu, boramahlale ba somisa mongwalo wa diexponential number. Mongwalo wo o bontsha gore palo ye kgolo-kgolo e atisitswe ka 10 ga kae goba palo ye nnyane-nnyane e arotswe ka 10 ga kae. Go thwe 10 ke base. Mongwalo wo o hlotse mosongwana o mongwe wa bobadi eleng dilogarithm moo re somisang fela exponent ya 10 goba exponent ya base ye e itseng.] 5) Masakana Le Diexponent [Gore re kgone go latela melao ya Algebra gabotse, re somisa masakana.
Kgaolo ye e hlalosa mo masakana a nyakegang le mo a tlogelwang]. 6) Diequation Tsa Go Fetana [Babadi ba beakanya diequation ka lenaneo, gomme di fetana go ya ka exponent ya godimo ya x mo go tsona. Go thwe equation ke ya thetologo (degree) ye e itseng. Mohlala, x ? 3 = 5 ke 1st degree equation, x^2 +2x ? 9 = 18 ke 2nd degree (goba quadratic) equation, mola x^3 ? 19 = 8 goba 2x^3 +4x^2 ? x = 72 ele di 3rd degree (goba cubic) equation.
Equation ya 1st degree e na le karabo ye tee ya x . Eupsa 2nd degree equation e na le dikarabo tse pedi tsa x mola 3rd degree equation e na le dikarabo tse tharo tsa x, bjalobjalo.], 7. Mekgwa Ya Go Rarolla Equation [Kgaolo ye e hlalosa mekgwa ya go hwetsa dikarabo tsa x eleng go ntsha tseo di tsenang (factoring) le go somisa mongwalo wa karabo ya kakaretso, formula]. Kgaolo 8 e bontsha diequation tseo di nang le dikarabo tse dintshi, mola Kgaolo 9 e bontsha dibopego tseo di tswelelang ge re thala mothalo wa go kgomantsha dikarabo eleng digraph.
Kgaolo ya lesome e hlalosa mafapha a mangwe a mathematics.
Tsa Ka Gare: 1) Dipalo Ga Di Fele [Mehuta ya dipalo ya go fapana ke "tsa go bala dilo (natural numbers)", "tsa kganetso le tsa kgonthe tseo di feleletseng (whole numbers)", "diripana tseo re di ngwalang ele palo ya go felela ka godimo le ka tlase (rational numbers)" le "diripana tseo re sa kgoneng go di ngwala ele diratio (irrational numbers)", le ye mengwe. Palo ya dipalo mo molokolokong ke "yeo e sa feleng" (infinity).] 2) Ditatelano [Ge dipalo di latelana ka mokgwa wo o itseng wa go swana, re di bitsa molokoloko (sequence).
Mehlala ke "tseo di lekanetseng (even)", "tsa nthla (odd)", ditriangular numbers, disquare, dicube, difactorial, le tse dingwe]. 3) Medu [Go nyaka medu (roots) eleng go arola gape le gape, ke mosongwana mo bobading wo o dirollang mosomo wa diexponent eleng go atisa gape le gape. Bjalo ka ge go hlakantsha go dirolla ke go ntsha, gomme go atisa go dirolla ke go arola]. 4) Masome le Masongwana [Boramahlale ba somisa dipalo tse dikgolo-kgolo le tse dinnyane-nnyane kgafetsakgafetsa.
Ka ge dipalo tse di na le dipadi tse dintshi kudu, boramahlale ba somisa mongwalo wa diexponential number. Mongwalo wo o bontsha gore palo ye kgolo-kgolo e atisitswe ka 10 ga kae goba palo ye nnyane-nnyane e arotswe ka 10 ga kae. Go thwe 10 ke base. Mongwalo wo o hlotse mosongwana o mongwe wa bobadi eleng dilogarithm moo re somisang fela exponent ya 10 goba exponent ya base ye e itseng.] 5) Masakana Le Diexponent [Gore re kgone go latela melao ya Algebra gabotse, re somisa masakana.
Kgaolo ye e hlalosa mo masakana a nyakegang le mo a tlogelwang]. 6) Diequation Tsa Go Fetana [Babadi ba beakanya diequation ka lenaneo, gomme di fetana go ya ka exponent ya godimo ya x mo go tsona. Go thwe equation ke ya thetologo (degree) ye e itseng. Mohlala, x ? 3 = 5 ke 1st degree equation, x^2 +2x ? 9 = 18 ke 2nd degree (goba quadratic) equation, mola x^3 ? 19 = 8 goba 2x^3 +4x^2 ? x = 72 ele di 3rd degree (goba cubic) equation.
Equation ya 1st degree e na le karabo ye tee ya x . Eupsa 2nd degree equation e na le dikarabo tse pedi tsa x mola 3rd degree equation e na le dikarabo tse tharo tsa x, bjalobjalo.], 7. Mekgwa Ya Go Rarolla Equation [Kgaolo ye e hlalosa mekgwa ya go hwetsa dikarabo tsa x eleng go ntsha tseo di tsenang (factoring) le go somisa mongwalo wa karabo ya kakaretso, formula]. Kgaolo 8 e bontsha diequation tseo di nang le dikarabo tse dintshi, mola Kgaolo 9 e bontsha dibopego tseo di tswelelang ge re thala mothalo wa go kgomantsha dikarabo eleng digraph.
Kgaolo ya lesome e hlalosa mafapha a mangwe a mathematics.