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Öncelikle kendiniz sorulara uğraştıktan sonra...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2992750/00cce925c793d526eb8a44bd1f594d50/564x318_1"},"target":"_self","position":"3","reqid":"1769788019604293-14944510971788660060-balancer-l7leveler-kubr-yp-vla-245-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769788019604293-14944510971788660060-balancer-l7leveler-kubr-yp-vla-245-BAL&text=videoid:12352251838454323317","teaser":[{"list":{"type":"unordered","items":["Bu video, bir öğretmenin 6. sınıf matematik dersinde \"Çarpanlar ve Katlar\" konusunu anlattığı eğitim içeriğidir. Öğretmen, kitabın 21-26. sayfalarındaki etkinlikleri çözmektedir.","Video, birikim yapmanın önemi ile başlayıp, katlar konusuna geçiş yapmaktadır. Öğretmen, Ahmet'in harçlık biriktirme örneği üzerinden katlar arasındaki ilişkiyi açıklamakta, ardından Hatice öğretmenin kat bulma oyunu, en küçük kat kavramı ve çarpanları verilen sayının katlarını belirleme gibi etkinlikleri adım adım çözmektedir. Daha sonra çarpan ve kat kavramlarının günlük hayattaki uygulamalarını içeren problemler çözülür ve doğal sayıların çarpanları ve bölenleri hakkında doğru-yanlış soruları ele alınır.","Videoda Zeynep Hanım'ın yol boyunca mola verme problemi, 60 katlı bir gökdelende asansörlerin hangi katlarda duracağı hesaplanması, fındık çuvalını eşit miktarda poşetlere ayırma ve otobüs saatlerini hesaplama gibi günlük hayattan örnekler verilmektedir. Video, sayfa 26'ya kadar olan çalışmaların tamamlanmasıyla sona erer ve bir sonraki videoda kalansız bölünebilme konusuna değinileceği belirtilir."]},"endTime":1742,"title":"6. 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sayısının katı olan sayılar siyah kalemle, 13 doğal sayısının katı olan sayılar kırmızı kalemle işaretlenmiştir.","Herhangi bir doğal sayının en küçük katı sayının kendisidir.","Bir doğal sayının çarpanları verildiğinde, çarpanların en büyüğü sayıyı verir."]},"beginTime":365,"endTime":673,"href":"/video/preview/12352251838454323317?parent-reqid=1769788019604293-14944510971788660060-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Matematica+-+Topic&t=365&ask_summarization=1"},{"index":4,"title":"Matematik Problemleri Çözümü","list":{"type":"unordered","items":["Zeynep Hanım otomobiliyle yola çıktıktan sonra her 80 kilometrede bir mola veriyor ve toplam 940 kilometre yol yapacağı için 80'in katlarında (80, 160, 240, 320, 400, 480, 560, 640, 720, 800, 960) mola verecektir.","60 katlı bir gökdelende 1 numaralı asansör tek sayı olan katlara, 2 numaralı asansör çift sayı olan katlara çıkıyor.","Zemin katta bulunan bir kişi 1 numaralı asansöre bindiğinde 15 farklı kata, 2 numaralı asansöre bindiğinde 30 farklı kata çıkabilir."]},"beginTime":682,"endTime":1002,"href":"/video/preview/12352251838454323317?parent-reqid=1769788019604293-14944510971788660060-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Matematica+-+Topic&t=682&ask_summarization=1"},{"index":5,"title":"Asansör Problemlerinin Devamı","list":{"type":"unordered","items":["1 numaralı asansör teknik bir arıza sonucu 5'in katlarında durmadığına göre, 5, 15, 25, 35, 45 ve 55 katlarında durmayacaktır.","2 numaralı asansör teknik bir arıza sonucu 8'in katlarında durmadığına göre, 8, 16, 24, 32, 40 ve 48 katlarında durmayacaktır."]},"beginTime":1002,"endTime":1103,"href":"/video/preview/12352251838454323317?parent-reqid=1769788019604293-14944510971788660060-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Matematica+-+Topic&t=1002&ask_summarization=1"},{"index":6,"title":"Çarpan ve Kat Kavramlarının Günlük Hayatta Kullanımı","list":{"type":"unordered","items":["Çarpan kavramı günlük hayatta bir şeyi eşit miktarda parçalara ayırırken (örneğin 50 kilogramlık fındık çuvalını eşit miktarda poşetlere ayırmak) kullanılır.","Kat kavramı günlük hayatta bir şeyin belirli aralıklarla tekrarlanmasını hesaplarken (örneğin 7 dakikada bir geçen bir otobüsün hangi saatlerde geçeceği) kullanılır."]},"beginTime":1103,"endTime":1306,"href":"/video/preview/12352251838454323317?parent-reqid=1769788019604293-14944510971788660060-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Matematica+-+Topic&t=1103&ask_summarization=1"},{"index":7,"title":"Çarpan ve Kat Problemleri","list":{"type":"unordered","items":["20'nin çarpanları 1, 2, 4, 5, 10, 20'dir ve daire içinde olanlar 1 ve 20'dir.","35'in çarpanları 1, 5, 7, 35'tir ve daire içinde olanlar 5 ve 35'tir.","48'in çarpanları 1, 2, 4, 6, 8, 12, 16, 24, 36, 48'dir ve daire içinde olanlar 4, 6 ve 24'tür.","9'un katları 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99'dur ve daire içinde olanlar 27 ve 72'dir.","13'ün katları 13, 26, 39, 52, 65, 78, 91'dir ve daire içinde olanlar 13, 39 ve 65'tir.","22'nin katları 22, 44, 66, 88, 110'dur ve daire içinde olanlar 44, 66 ve 88'dir."]},"beginTime":1306,"endTime":1500,"href":"/video/preview/12352251838454323317?parent-reqid=1769788019604293-14944510971788660060-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Matematica+-+Topic&t=1306&ask_summarization=1"},{"index":8,"title":"Doğal Sayılar Hakkında Doğru-Yanlış Sorular","list":{"type":"unordered","items":["Bir doğal sayının en küçük doğal sayı böleni birdir, bu ifade doğrudur.","Bir doğal sayının çarpanları hariç sonsuz sayıdadır ifadesi yanlıştır, çarpanlar sonludur.","Bir doğal sayının çarpanlarının en küçüğü, katların ise en büyüğü o doğal sayıdır ifadesi yanlıştır, tam tersi doğrudur.","Sıfırdan farklı doğal sayıların katları sonsuz sayıdadır ifadesi doğrudur.","Bir doğal sayının çarpanları aynı zamanda o doğal sayının bölenleridir ifadesi doğrudur."]},"beginTime":1502,"endTime":1597,"href":"/video/preview/12352251838454323317?parent-reqid=1769788019604293-14944510971788660060-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Matematica+-+Topic&t=1502&ask_summarization=1"},{"index":9,"title":"Damla'nın Haftalık Harçlığı Problemi","list":{"type":"unordered","items":["Damla'nın bir haftalık karşılığı TL cinsinden elli doğal sayısının çarpanların toplamı kadardır.","50'nin çarpanları 1, 2, 5, 10, 25, 50'dir.","50'nin çarpanlarının toplamı 1+2+5+10+25+50=93 TL'dir."]},"beginTime":1597,"endTime":1650,"href":"/video/preview/12352251838454323317?parent-reqid=1769788019604293-14944510971788660060-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Matematica+-+Topic&t=1597&ask_summarization=1"},{"index":10,"title":"Zübeyir Öğretmenin Çalışma Kağıtları Problemi","list":{"type":"unordered","items":["Zübeyir öğretmen her birinde 15 soru bulunan çalışma kağıtları hazırlamıştır.","Hazırladığı tüm çalışma kağıtlarındaki toplam soru sayısı 200'den 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1⁻²⁰ işleminin sonucu 0,00 olarak hesaplanıyor."]},"beginTime":638,"endTime":853,"href":"/video/preview/634079024177502216?parent-reqid=1769788019604293-14944510971788660060-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Matematica+-+Topic&t=638&ask_summarization=1"},{"index":7,"title":"Üslü İfadelerin Değerleri ve Karşılaştırma","list":{"type":"unordered","items":["Üslü ifadelerin değerlerini bulup, değeri en büyük olan üslü ifadeyi belirleme sorusu çözülüyor.","(-7)⁻² = 1/49, (-1)⁻³ = -1, (-2)⁵ = -32 ve 3⁻⁴ = 1/81 değerleri bulunuyor.","Negatif sayılar her zaman daha küçük olduğu için, 1/49 değeri en büyük olarak belirleniyor."]},"beginTime":853,"endTime":994,"href":"/video/preview/634079024177502216?parent-reqid=1769788019604293-14944510971788660060-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Matematica+-+Topic&t=853&ask_summarization=1"}],"linkTemplate":"/video/preview/634079024177502216?parent-reqid=1769788019604293-14944510971788660060-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Matematica+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"8.sınıf matematik ders kitabı sayfa 29-35 // 8.sınıf matematik sonuç yayınları sayfa 29-35","related_orig_text":"Matematica - 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