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Sınıf Matematik: Çarpanlar, Katlar ve Asal Sayılar Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Çarpanlar ve Katlar Konusuna Giriş","list":{"type":"unordered","items":["Çarpanlar ve katlar, LGS'de çıkacak ve 8. sınıf matematiğin ilk konusudur.","LGS matematik zor değil, çalışana her şey kolaydır.","Bu konu, 5, 6 ve 7. sınıfta bazı kısımları görülen temel bir konudur."]},"beginTime":0,"endTime":32,"href":"/video/preview/16262102591829962045?parent-reqid=1769497412685623-10365881618295730675-balancer-l7leveler-kubr-yp-sas-200-BAL&text=MrSebis8&t=0&ask_summarization=1"},{"index":1,"title":"Çarpanlar ve Katlar Konusunun Önemi","list":{"type":"unordered","items":["Çarpanlar ve katlar konusundan gelen sorular, yeni nesil beceri temelli sorular olabilir.","Milli Eğitim Bakanlığı müfratı değiştirirken kazanım yerine öğrenme çıktılarını kullanmaktadır.","Bu sene göreceğimiz ilk öğrenme çıktıları çarpan bulma ve asal çarpanlara ayırma olacaktır."]},"beginTime":32,"endTime":182,"href":"/video/preview/16262102591829962045?parent-reqid=1769497412685623-10365881618295730675-balancer-l7leveler-kubr-yp-sas-200-BAL&text=MrSebis8&t=32&ask_summarization=1"},{"index":2,"title":"Tonguç Kap Programı","list":{"type":"unordered","items":["Tonguç Kap'ın birinci sezonu başlıyor ve herkes Tonguç.com'a girip takımını belirleyebilir.","Programın görevleri: YouTube'da video izlemek, meydan okuma testine katılmak ve kitaplardaki ödevleri yapmaktır.","Her sezon bir iPhone 6 Pro ödül verilmekte ve en büyük ödül LGS'deki başarıdır."]},"beginTime":182,"endTime":311,"href":"/video/preview/16262102591829962045?parent-reqid=1769497412685623-10365881618295730675-balancer-l7leveler-kubr-yp-sas-200-BAL&text=MrSebis8&t=182&ask_summarization=1"},{"index":3,"title":"Çarpan Bulma","list":{"type":"unordered","items":["Çarpan bulma, bir sayının kaç kere kaç olduğunu bulmaktır.","Bir sayının çarpanları, o sayıyı tam bölen sayılardır.","Bir sayının çarpanları arasında mutlaka 1 ve sayının kendisi bulunmak zorundadır."]},"beginTime":311,"endTime":452,"href":"/video/preview/16262102591829962045?parent-reqid=1769497412685623-10365881618295730675-balancer-l7leveler-kubr-yp-sas-200-BAL&text=MrSebis8&t=311&ask_summarization=1"},{"index":4,"title":"Çarpan Bulma Örneği","list":{"type":"unordered","items":["36 sayısının çarpanları: 1, 2, 3, 4, 6, 9, 12, 18, 36'dır.","36 sayısının toplam 9 tane çarpanı vardır.","Çarpan bulma işlemi, bir sayının çarpanları arasında tekrarlanan sayıları yazmamakla devam eder."]},"beginTime":452,"endTime":566,"href":"/video/preview/16262102591829962045?parent-reqid=1769497412685623-10365881618295730675-balancer-l7leveler-kubr-yp-sas-200-BAL&text=MrSebis8&t=452&ask_summarization=1"},{"index":5,"title":"Çarpanlar ve Bölenler","list":{"type":"unordered","items":["Çarpanlar ve bölenler konusu basit görünse de anlaması biraz zor sorularla test edilir.","\"80 bölü kare kesir bir doğal sayı eşit olduğuna göre kare yerine yazılabilecek kaç farklı doğal sayı değeri var?\" sorusunda, kare yerine yazılacak değer 80'in çarpanlarıdır.","80'in çarpanları 1, 2, 4, 5, 6, 8, 10, 12, 20, 40 ve 80'dir, toplam 10 farklı doğal sayı değeri vardır."]},"beginTime":569,"endTime":701,"href":"/video/preview/16262102591829962045?parent-reqid=1769497412685623-10365881618295730675-balancer-l7leveler-kubr-yp-sas-200-BAL&text=MrSebis8&t=569&ask_summarization=1"},{"index":6,"title":"Dikdörtgen Alanı ve Çevresi","list":{"type":"unordered","items":["Abdulcabbar amcanın dikdörtgen şeklindeki tarlasının kenar uzunlukları metre cinsinden doğal sayıdır ve alanı 72 metrekaredir.","Dikdörtgenin çevresi formülü: (kısa kenar + uzun kenar) × 2'dir.","72'nin çarpanları 1×72, 2×36, 3×24, 4×18, 5×12, 6×12, 8×9, 9×8, 12×6=72'dir.","En az çevre için birbirine yakın çarpanlar seçilir: 8×9=72, çevresi 2×(8+9)=34 metredir."]},"beginTime":701,"endTime":913,"href":"/video/preview/16262102591829962045?parent-reqid=1769497412685623-10365881618295730675-balancer-l7leveler-kubr-yp-sas-200-BAL&text=MrSebis8&t=701&ask_summarization=1"},{"index":7,"title":"Asal Sayılar","list":{"type":"unordered","items":["Asal sayılar, sadece 1 ve kendisine bölebilen 1'den büyük doğal sayılardır.","Asal sayılar aristokrat ve elit olarak nitelendirilir, çünkü sadece kendilerine ve 1'e bölünürler.","En küçük asal sayı 2'dir ve 2 dışında tüm asal sayılar tek sayıdır, ancak 2 çift sayıdır."]},"beginTime":919,"endTime":985,"href":"/video/preview/16262102591829962045?parent-reqid=1769497412685623-10365881618295730675-balancer-l7leveler-kubr-yp-sas-200-BAL&text=MrSebis8&t=919&ask_summarization=1"},{"index":8,"title":"LGS'de Önemli Asal Sayılar","list":{"type":"unordered","items":["LGS'de en fazla çıkan asal sayılar 2, 3, 5 ve 7'dir.","Bu asal sayılar her sınavda sorulmaktadır.","Diğer asal sayılar daha nadirdir çünkü büyüdükçe sorular zorlaşır."]},"beginTime":985,"endTime":1015,"href":"/video/preview/16262102591829962045?parent-reqid=1769497412685623-10365881618295730675-balancer-l7leveler-kubr-yp-sas-200-BAL&text=MrSebis8&t=985&ask_summarization=1"},{"index":9,"title":"Asal Çarpanlara Ayırma","list":{"type":"unordered","items":["Asal çarpanlara ayırma, bir sayıyı asal sayıların çarpımı şeklinde yazmaktır.","Örneğin, 28'in asal çarpanları 2 ve 7'dir ve 28 = 2 × 2 × 7 şeklinde yazılabilir.","Asal çarpanlara ayırma işlemi, sayının asal çarpanlarının kuvvetlerini de gösterebilir, örneğin 28 = 2² × 7 şeklinde yazılabilir."]},"beginTime":1015,"endTime":1076,"href":"/video/preview/16262102591829962045?parent-reqid=1769497412685623-10365881618295730675-balancer-l7leveler-kubr-yp-sas-200-BAL&text=MrSebis8&t=1015&ask_summarization=1"},{"index":10,"title":"Asal Çarpan Ağacı","list":{"type":"unordered","items":["Asal çarpan ağacı, asal çarpanlara ayırma işleminin görsel gösterimidir.","Asal çarpan ağacında, verilen sayı asal çarpanlarına ayrılır ve bu çarpanlar ağacın ağaçlarına yerleştirilir.","Asal çarpan ağacında, verilen sayı asal çarpanlarına ayrıldıktan sonra, a+b gibi değerler hesaplanabilir."]},"beginTime":1076,"endTime":1124,"href":"/video/preview/16262102591829962045?parent-reqid=1769497412685623-10365881618295730675-balancer-l7leveler-kubr-yp-sas-200-BAL&text=MrSebis8&t=1076&ask_summarization=1"},{"index":11,"title":"Asal Çarpan Bölme Algoritması","list":{"type":"unordered","items":["Asal çarpan bölme algoritması, asal çarpanlara ayırma işleminin basit bir yöntemidir.","Bu yöntemde, verilen sayı asal sayılarla bölünür ve bölüm sonucu yeni bir sayı olarak yazılır.","Asal çarpan bölme algoritması, sayının asal çarpanlarını bulmak için kullanılır ve sonuç olarak sayı 1'e çevrilir."]},"beginTime":1124,"endTime":1242,"href":"/video/preview/16262102591829962045?parent-reqid=1769497412685623-10365881618295730675-balancer-l7leveler-kubr-yp-sas-200-BAL&text=MrSebis8&t=1124&ask_summarization=1"},{"index":12,"title":"Asal Çarpan Bölme Algoritması Örneği","list":{"type":"unordered","items":["Asal çarpan bölme algoritması ile 90 sayısının asal çarpanları 2, 3 ve 5 olarak bulunur.","90 = 2 × 3² × 5 şeklinde yazılabilir.","Bu yöntem, asal çarpanlara ayırma sorularını çözmek için kullanılır."]},"beginTime":1242,"endTime":1288,"href":"/video/preview/16262102591829962045?parent-reqid=1769497412685623-10365881618295730675-balancer-l7leveler-kubr-yp-sas-200-BAL&text=MrSebis8&t=1242&ask_summarization=1"},{"index":13,"title":"Asal Çarpanlar ve Üslü Sayılar","list":{"type":"unordered","items":["Soruda üstü gösterim kullanılarak asal çarpanlar bulunuyor: 168 sayısının asal çarpanları 2, 3 ve 7'dir.","168 sayısının asal çarpanları 2³ × 3 × 7 şeklinde yazılabilir.","Soruda a, b, c değerleri bulunarak a+b+c toplamı 5 olarak hesaplanıyor."]},"beginTime":1292,"endTime":1459,"href":"/video/preview/16262102591829962045?parent-reqid=1769497412685623-10365881618295730675-balancer-l7leveler-kubr-yp-sas-200-BAL&text=MrSebis8&t=1292&ask_summarization=1"},{"index":14,"title":"Özel İşlem ve Asal Çarpanlar","list":{"type":"unordered","items":["Kare işlemi, içine yazılan sayının asal çarpanlarının çarpımını sonuç olarak vermektedir.","90 sayısının asal çarpanları 2, 3 ve 5'tir, bu çarpım 30'dur.","Kare içinde a=10 olduğuna göre, asal çarpanları 2 ve 5 olan en büyük iki basamaklı sayı 80'dir."]},"beginTime":1459,"endTime":1674,"href":"/video/preview/16262102591829962045?parent-reqid=1769497412685623-10365881618295730675-balancer-l7leveler-kubr-yp-sas-200-BAL&text=MrSebis8&t=1459&ask_summarization=1"},{"index":15,"title":"LGS Sorusu Çözümü","list":{"type":"unordered","items":["LGS 2023'te benzer bir soru çıkmış, dört arkadaşın sosyal medya uygulamasındaki takip sayıları asal çarpanların çarpımı şeklinde verilmiş.","Bin takipçisi olan arkadaşın takipçi sayısı 2³ × 3³ × 5³ şeklinde ifade edilir.","Tonguç'un takipçi sayısı 400 olarak hesaplanarak en fazla takipçi sayısına sahip olduğu bulunur."]},"beginTime":1674,"endTime":1819,"href":"/video/preview/16262102591829962045?parent-reqid=1769497412685623-10365881618295730675-balancer-l7leveler-kubr-yp-sas-200-BAL&text=MrSebis8&t=1674&ask_summarization=1"},{"index":16,"title":"Ödev ve Meydan Okuma Testi","list":{"type":"unordered","items":["Ödevler programın açıklamasında ve iki kaynaktan verilmektedir.","Gelecek meydan okuma testi için TAS uygulamasına girilmesi ve Tonguç Kabada katılınması istenmektedir.","Puan biriktirerek bir disipline girilerek hem oyun oynanacak hem de öğrenilecek ve ders 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