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Sınıf Matematik Dersi: Çarpanlar ve Katlar","beginTime":0}],"fullResult":[{"index":0,"title":"Birikim Yapmanın Önemi","list":{"type":"unordered","items":["Altıncı sınıf matematik birinci kitabın sayfa 21-26 arasındaki çalışmaları \"Katlar\" konusuyla başlıyor.","Birikim yapmak, harcamalarda arta kalan parayı gelecekte kullanmak üzere biriktirmektir.","Küçük birikimler büyük hayalleri gerçekleştirmenin ilk adımı olabilir."]},"beginTime":2,"endTime":36,"href":"/video/preview/12352251838454323317?parent-reqid=1769629266638358-12440298314573733566-balancer-l7leveler-kubr-yp-klg-217-BAL&text=Matematica+-+Topic&t=2&ask_summarization=1"},{"index":1,"title":"Ahmet'in Harçlık Birikimi","list":{"type":"unordered","items":["Ahmet, babasından aldığı harçlığın 5 TL'sini her hafta kumbarasına atıyor ve 36 hafta boyunca biriktirmeye devam ediyor.","Geçen haftaların sayısına göre Ahmet'in kumbarasında biriken para miktarı 5 kat artıyor.","36 hafta sonunda Ahmet'in kumbarasında 180 TL birikmiş olur."]},"beginTime":36,"endTime":171,"href":"/video/preview/12352251838454323317?parent-reqid=1769629266638358-12440298314573733566-balancer-l7leveler-kubr-yp-klg-217-BAL&text=Matematica+-+Topic&t=36&ask_summarization=1"},{"index":2,"title":"Katları Bulma Oyunu","list":{"type":"unordered","items":["Hatice öğretmen 6A sınıfında doğal sayıların katlarına yönelik kat bulma oyunu oynatmaktadır.","Yedi'nin sırasıyla diğer katları: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77 şeklinde sonsuza kadar devam eder.","Yedi doğal sayısı ile bu sayının katları arasında \"yedi'nin birinci, ikinci, üçüncü, dördüncü, beşinci sırasıyla sırasıyla katları alınmıştır\" şeklinde bir ilişki vardır."]},"beginTime":171,"endTime":365,"href":"/video/preview/12352251838454323317?parent-reqid=1769629266638358-12440298314573733566-balancer-l7leveler-kubr-yp-klg-217-BAL&text=Matematica+-+Topic&t=171&ask_summarization=1"},{"index":3,"title":"En Küçük Katlar","list":{"type":"unordered","items":["Tabloda 8 doğal 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=1769629266638358-12440298314573733566-balancer-l7leveler-kubr-yp-klg-217-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=1769629266638358-12440298314573733566-balancer-l7leveler-kubr-yp-klg-217-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=1769629266638358-12440298314573733566-balancer-l7leveler-kubr-yp-klg-217-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=1769629266638358-12440298314573733566-balancer-l7leveler-kubr-yp-klg-217-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=1769629266638358-12440298314573733566-balancer-l7leveler-kubr-yp-klg-217-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=1769629266638358-12440298314573733566-balancer-l7leveler-kubr-yp-klg-217-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=1769629266638358-12440298314573733566-balancer-l7leveler-kubr-yp-klg-217-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 azdır.","15'in katları 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195'tir ve 200'den azdır.","Zübeyir öğretmen en fazla 13 adet çalışma kağıdı hazırlamıştır."]},"beginTime":1650,"endTime":1722,"href":"/video/preview/12352251838454323317?parent-reqid=1769629266638358-12440298314573733566-balancer-l7leveler-kubr-yp-klg-217-BAL&text=Matematica+-+Topic&t=1650&ask_summarization=1"},{"index":11,"title":"Video Kapanışı","list":{"type":"unordered","items":["Sayfa 26'ya kadar olan çalışmaları tamamlanmıştır.","Bir sonraki videoda kalansız bölünebilme konusuna değinilecektir.","İzleyicilerden videoyu beğenmeleri ve kanala abone olmaları 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