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математика 5 класс мерзляк

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Published at Monday, January 18th 2021. by in математика класс.

Vsegda chitayte formuly kak zakonchennyye mysli ili predlozheniya. Formuly vsegda dolzhny imet znak ravenstva. Takim obrazom, formula dlya rasstoyaniya NE rt. Formula dlya rasstoyaniya d = rt. Vsegda proveryayte pravil nost formul. Naprimer: raznitsa dvukh polnykh kvadratov mozhet vyglyadet kak 25-4. Ochevidno, znacheniye etogo chisla ravno 21, no yesli my poluchim eto zhe znacheniye s pomoshchyu formuly, my proverim formulu. Po formule 25-4 mozhno bylo by zapisat kak 5 ^ 2-2 ^ 2 i razlozhit na mnozhiteli kak (5 + 2) (5-2) = 7 (3) = 21. Takim obrazom, formula proverena. Znayte, kak oboznachat otvety po formule i chto oni oznachayut. Bud te konkretny pri chtenii formul. Poskol ku vse formuly ploshchadi nachinayutsya s A =, boleye polezno dobavit dopolnitelnuyu informatsiyu. V A = (pi) r ^ 2 luchshe vsego chitat eto tak: «Ploshchad kruga ravna pi, umnozhennomu na kvadrat radiusa kruga». Obyazatelno pomnite, chto ploshchad vsegda izmeryayetsya v kvadratnykh yedinitsakh.

Pozvolte mne podelit sya s vami svoyey istoriyey. U menya yest doch po imeni Sara, u kotoroy problemy s ponimaniyem matematiki. Kazhdyy raz, kogda ya vizhu yeye otsenku, ya chuvstvuyu sebya vinovatym, potomu chto nichego ne delayu, chtoby pomoch yey i uluchshit svoi znaniya po matematike. I ne govorya uzhe o tom, chto ya uchitel matematiki. YA byl tak zanyat v to vremya iz-za bol shogo kolichestva raboty v shkole, i pomimo etogo, ya rabotal nad nekotorymi ochen vazhnymi yuridicheskimi voprosami. YA pytalas nanyat chastnogo repetitora po matematike, no bezuspeshno, potomu chto yeye repetitor tol ko chto skazal mne, chto u neye net initsiativy izuchat matematiku. YA sprosil svoyu doch, pochemu ona nenavidit matematiku. Ona tol ko chto skazala mne, chto eto ne veselo, kak drugiye predmety, kotoryye pozvolyayut im igrat. YA posovetovalsya s Terezoy po povodu moyey problemy s docher yu. Tereza ​​byla tak lyubezna sdelat mne podarok. Eto byla kniga pod nazvaniyem «Delayem matematiku boleye uvlekatel noy». Ona skazala mne poprobovat i sledit za ney, yesli budet uluchsheniye. YA posledoval yeye sovetu i mesyats proboval.

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гдз математика 2 класс 2 часть
гдз математика 2 класс 2 часть

Izucheniye matematiki, bud to algebra, geometriya ili matematika, mozhet byt ochen trudnym dlya mnogikh uchenikov, a metody obucheniya, kotoryye rabotayut dlya odnogo uchenika, mogut byt neeffektivnymi dlya drugogo. No ya schitayu, chto yest neskolko sovetov po izucheniyu matematiki, kotorym mogut sledovat vse studenty, chtoby uluchshit svoi rezultaty po matematike i byt boleye produktivnymi vo vremya ucheby. Kogda uchitelya sozdayut testy, oni obychno osnovyvayut zadachi na primerakh, kotoryye oni dayut vam vo vremya uroka. Poetomu obyazatel no, chtoby u vas byl ekzemplyar kazhdogo primera, kotoryy vam pokazyvayet uchitel , i chtoby vy ponimali, kak reshit zadachu. Nekotorym uchenikam slozhno delat zametki v klasse i odnovremenno obrashchat vnimaniye. V etom sluchaye provodite vremya v klasse, kontsentriruyas na uchitele, no ubedites, chto vy poluchili kopiyu zametok ot odnoklassnika.

Khorosho, dopustim, u vas problemy na urokakh matematiki, i vy khotite sdat posledniy ekzamen, no u vas prosto chertovski mnogo vremeni, chtoby zapomnit vse uravneniya, kotoryye vam nuzhny dlya vsekh razlichnykh tipov zadach. Chto zh, yesli u vas yest solidnyye navyki algebry i khorosho razbirayutsya v mnozhitelyakh, u vas vse budet khorosho, kak tolko vy vyuchite pravilnuyu formulu? YA soglasen, i, vozmozhno, nam stoit nemnogo obsudit, kak rabotayet logicheskaya chast vashego mozga, i pochemu ne spat vsyu noch pered ekzamenom, vozmozhno, ne tak razumno.

Vo-vtorykh, vy dolzhny ponimat, chto ne vse kalkulyatory odinakovy. YA imeyu v vidu, chto u nekotorykh iz nikh budut funktsii, kotorykh net u drugikh. Vdobavok k etomu nekotoryye iz nikh ogranicheny v ob"yeme pamyati ili vozmozhnosti nastraivat i sozdavat funktsii. Nakonets, vy dolzhny pomnit, chto nikogda ne sdavaytes. Eto oznachayet, chto dazhe yesli vy otstayete v uchebe, upornyy trud i nastoychivost v konechnom itoge okupyatsya. Vy uvidite otlichnyye rezultaty, yesli sovmestite upornyy trud s luchshimi instrumentami! Kogda vy rassmatrivayete eti sovety po uluchsheniyu svoyey matematiki, net prichin, po kotorym vy ne mozhete poluchat boleye vysokiye otsenki ili prosto bystreye vypolnyat svoyu rabotu. Tak chto budte gotovy k uroku matematiki, u nego yest podkhodyashchiye instrumenty i ne sdavaytes!

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Veroyatno, luchshiy sposob ubeditsya, chto klass idet v nogu s tem, chto on izuchayet, - eto ustanovit bazovyy protsent dlya klassa, kotoryy idet v nogu s materialom, i togo, kotoryy ne uspevayet, i togo, kotoryy tozhe legko provesti vremya s nim. Naprimer, yesli klass v tselom pravilno otvechayet po krayney mere na 70% voprosov, kotoryye im zadayut, uchitel mozhet reshit, chto eto oznachayet, chto oni znayut material. Kak tolko oni naberut bolshe, chem, skazhem, 90% pravilnykh otvetov, uchitel mozhet reshit, chto eto oznachayet, chto on poluchayet dostatochno, chtoby oni mogli pereyti k sleduyushchey teme. Eto budet oznachat, chto klass ot 70% do 90% popadayet v tsel, klass nizhe 70% dolzhen zamedlitsya i peresmotret, a klass vyshe 90% gotov dvigatsya dalshe.

Ispol zovaniye kolody kart na uroke matematiki mozhet byt interesnym sposobom razvlechsya s matematikoy. Idealnyy sposob bystro prosmotret ili zakrepit matematicheskiye fakty i kontseptsii - eto veselo provesti vremya s matematicheskimi kartochnymi igrami. Nevazhno, ispol zuyete li vy obychnyye karty (ot tuza do korolya) i pridumyvayete li vy zabavnyye matematicheskiye igry dlya ispolzovaniya s nimi ili sozdayete spetsializirovannyye kolody na osnove uprazhneniy po matematike ili izuchayemykh kontseptsiy (to yest drobey, mnozhiteley, razmetki). Vazhno to, chto ucheniki manipuliruyut etimi kartochkami i aktivno uchastvuyut v poiske otvetov i v to zhe vremya poluchayut udovolstviye.

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