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Öğretmen, Kerem ve Tonguç adlı öğrencilerle etkileşim halindedir.","Video, EBOB ve EKOK kavramlarının tanımıyla başlayıp, asal çarpanlara ayırma yöntemiyle bu kavramların nasıl hesaplanacağını adım adım göstermektedir. Ardından aralarında asal sayılar kavramı, özellikleri ve örnekleri detaylı şekilde anlatılmakta, son olarak çarpanlar konusuna geçilmektedir. Video, LGS benzeri sorular ve günlük yaşamdan örneklerle desteklenen problem çözümleriyle devam etmektedir.","Videoda ayrıca EBOB-EKOK'un çarpımı sayıların çarpımına eşit olması, birbirinin katı olan sayıların EBOB ve EKOK özellikleri ve asal sayıların EBOB'unun 1 olması gibi önemli konular örneklerle açıklanmaktadır. Video, öğrencilere ödev verilerek ve ödüllü bir soru ile sonlanmaktadır."]},"endTime":1782,"title":"Matematik Dersi: EBOB, EKOK ve Aralarında Asallık","beginTime":0}],"fullResult":[{"index":0,"title":"EBOB ve EKOK Konusuna Giriş","list":{"type":"unordered","items":["İkinci matematik konusu EBOB (En Büyük Ortak Bölen) ve EKOK (En Küçük Ortak Kat) ile aralarında asallık kavramlarını içerecek.","Konu, altıncı sınıfta öğrenilen ortak bölen ve ortak kat kavramlarının devamı olarak ele alınacak.","Konunun anahtar kavramları asal sayı, aralarında asallık, EBOB ve EKOK olacak."]},"beginTime":0,"endTime":56,"href":"/video/preview/18282035933627350769?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=0&ask_summarization=1"},{"index":1,"title":"Tonguç Kap","list":{"type":"unordered","items":["Tonguç Kap birinci sezonu başladı ve öğrenciler Tonguç Kademi.com'da takımlarını belirleyebilir.","Öğrencilerin yapması gereken üç görev: konu anlatımını izlemek, meydan okuma testini çözmek ve video ödevlerini yapmak.","Tonguç LGS kanalında her gün bir video ve programlı ödevler sunuluyor."]},"beginTime":56,"endTime":134,"href":"/video/preview/18282035933627350769?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=56&ask_summarization=1"},{"index":2,"title":"Ortak Bölen ve EBOB","list":{"type":"unordered","items":["Altıncı sınıfta ortak bölen ve ortak kat kavramları öğrenilmişti.","Ortak bölenler, iki veya daha fazla sayıyı aynı anda bölen sayılardır.","En büyük ortak bölen (EBOB), iki veya daha fazla sayının ortak bölenlerinin en büyüğüdür."]},"beginTime":134,"endTime":234,"href":"/video/preview/18282035933627350769?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=134&ask_summarization=1"},{"index":3,"title":"Ortak Kat ve EKOK","list":{"type":"unordered","items":["Ortak katlar, iki veya daha fazla sayının ortak katlarıdır.","En küçük ortak kat (EKOK), iki veya daha fazla sayının ortak katlarının en küçüğüdür.","Altıncı sınıfta sadece ortak bölen ve ortak kat kavramları öğrenilmişti, büyüklüklerini hesaplamak yorucu oluyordu."]},"beginTime":234,"endTime":317,"href":"/video/preview/18282035933627350769?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=234&ask_summarization=1"},{"index":4,"title":"EBOB Bulma Yöntemi","list":{"type":"unordered","items":["EBOB bulmak için \"TO Eren Bey\" metodu kullanılır: sayılar yan yana yazılır ve en sağdakinin yanına çizgi çekilir.","Asal sayılar kullanılarak sayılar bölünür ve her iki sayıyı da aynı anda bölen asal sayılar yıldızlanır.","EBOB, yıldızlanan asal sayıların çarpımıdır."]},"beginTime":317,"endTime":464,"href":"/video/preview/18282035933627350769?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=317&ask_summarization=1"},{"index":5,"title":"EKOK Bulma Yöntemi","list":{"type":"unordered","items":["EKOK bulmak için aynı yöntem kullanılır, ancak yıldızlanan asal sayılar değil, tüm asal sayılar çarpılır.","EKOK, tüm asal sayıların çarpımıdır.","EKOK, üslü gösterim şeklinde de yazılabilir."]},"beginTime":464,"endTime":541,"href":"/video/preview/18282035933627350769?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=464&ask_summarization=1"},{"index":6,"title":"EBOB ve EKOK Kavramları","list":{"type":"unordered","items":["EBOB (En Büyük Ortak Bölen), iki sayıyı da bölebilen ortak bir bölendir ve genellikle sayılardan daha küçük veya eşittir.","EKOK (En Küçük Ortak Kat), sayıdan genellikle daha büyük veya eşittir çünkü sayıdan kat olarak bulunur.","EBOB, ortak asal bölenlerin çarpımıdır; 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Eğitmen, öğrencilere hitap ederek çeşitli matematik problemlerini adım adım çözmektedir.","Videoda asal sayılar, EBOB (En Büyük Ortak Bölen) ve EKOK (En Küçük Ortak Kat) konuları ele alınmaktadır. İçerik, asal sayıların tanımı ve özellikleri ile başlayıp, asal çarpanlar, ortak bölenler ve ortak katlar kavramlarını açıklamakta, ardından çeşitli soru tiplerini çözmektedir. Video, farklı zorluk seviyelerindeki problemlerin çözümlerini içermekte ve günlük hayattan örneklerle matematik problemlerini çözme tekniklerini göstermektedir.","Videoda ayrıca boşluk doldurma soruları, kesirlerde toplama işlemi, dikdörtgen alan ve çevre hesaplamaları gibi konular ele alınmakta, Ahmet ve Mehmet'in farklı uzunluklardaki şeritlerle ölçebildiği mesafe bulma ve bir sınıftaki öğrencilerin hem üçerli hem dörderli şekilde sıralanabilmesi için sınıf mevcudunun hangi sayı olabileceğini sorgulama gibi pratik problemler çözülmektedir. Video, bir ödüllü soruyla sonlanmaktadır."]},"endTime":1322,"title":"Asal Sayılar, EBOB ve EKOK Matematik Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Giriş ve Konu Hatırlatmaları","list":{"type":"unordered","items":["Videoda asal sayılar, EBOB ve EKOK konularında soru çözümleri yapılacak.","Ekim ayı kamp programı devam ediyor ve programı indirmek için açıklamalar bölümündeki link kullanılabilir.","Asal sayılar sadece 1'e ve kendisine bölünen sayılardır, en küçük asal sayı 2'dir ve tek çift asal sayıdır."]},"beginTime":7,"endTime":82,"href":"/video/preview/8711821477755334823?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=7&ask_summarization=1"},{"index":1,"title":"Matematiksel Kavramlar","list":{"type":"unordered","items":["Asal çarpanlar, normal çarpanlardan farklı olarak asal olan sayılardır.","Ortak bölenler, iki veya daha fazla sayının ortak bölenleridir ve en büyük ortak bölen (EBOB) en büyük ortak böleni ifade eder.","Ortak katlar, iki veya daha fazla sayının ortak katlarıdır ve en küçük ortak kat (EKOK) en küçük ortak katı ifade eder."]},"beginTime":82,"endTime":199,"href":"/video/preview/8711821477755334823?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=82&ask_summarization=1"},{"index":2,"title":"Soru Çözümleri","list":{"type":"unordered","items":["En küçük asal sayı 2'dir, iki basamaklı en büyük asal sayı 97'dir.","40 ile 50 arasındaki asal sayıların toplamı 131'dir.","30 sayısının asal çarpan sayısı 3'tür, 40 sayısının asal çarpan sayısı 2'dir ve toplamları 8'dir."]},"beginTime":199,"endTime":333,"href":"/video/preview/8711821477755334823?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=199&ask_summarization=1"},{"index":3,"title":"Kesirlerde Toplama","list":{"type":"unordered","items":["Kesirlerde toplama yaparken paydaları en küçük ortak kat (EKOK) ile eşitlemek daha etkilidir.","12 ve 16 sayılarının EKOK'u 48'dir, bu nedenle kesirler 48'e eşitlenmelidir."]},"beginTime":333,"endTime":421,"href":"/video/preview/8711821477755334823?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=333&ask_summarization=1"},{"index":4,"title":"Dikdörtgen Alanı ve Çevre","list":{"type":"unordered","items":["Bir dikdörtgen tarlanın alanı 77 metrekare ve kenar uzunlukları asal sayılar ise, kısa kenar 7 metre, uzun kenar 11 metredir.","Tarlanın çevresi (11+7)×2=36 metredir."]},"beginTime":421,"endTime":516,"href":"/video/preview/8711821477755334823?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=421&ask_summarization=1"},{"index":5,"title":"Asal Sayılarla İlgili Soru","list":{"type":"unordered","items":["Soruda altı ve on kayıt yaptıran öğrencilerin numaraları asal sayılar olarak belirleniyor.","Asal sayılar sıralanarak altı kayıt yaptıran öğrencinin numarası 13, on kayıt yaptıran öğrencinin numarası 29 olarak bulunuyor.","İki öğrencinin numaralarının toplamı 42 olarak hesaplanıyor."]},"beginTime":520,"endTime":615,"href":"/video/preview/8711821477755334823?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=520&ask_summarization=1"},{"index":6,"title":"Asal Çarpanlarla İlgili Soru","list":{"type":"unordered","items":["Soruda asal çarpanlarına ayrılmış iki sayı veriliyor ve toplamları soruluyor.","A sayısı 60, B sayısı 210 olarak hesaplanıyor.","A+B toplamı 270 olarak bulunuyor."]},"beginTime":615,"endTime":656,"href":"/video/preview/8711821477755334823?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=615&ask_summarization=1"},{"index":7,"title":"EBOB ve EKOK Sorusu","list":{"type":"unordered","items":["12 ile 18 sayılarının en küçük ortak katı (EKOK) 36, en büyük ortak böleni (EBOB) 6 olarak bulunuyor.","EKOK ile EBOB arasındaki fark 30 olarak hesaplanıyor."]},"beginTime":656,"endTime":747,"href":"/video/preview/8711821477755334823?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=656&ask_summarization=1"},{"index":8,"title":"Asal Sayılarla İlgili Uygulama Sorusu","list":{"type":"unordered","items":["Tonguç'un ayın asal sayı günlerinde iki kat, diğer günlerde normal harçlık aldığını belirtiyor.","Ayın 12'sinde 5 TL alındığı için normal günlerde 5 TL, asal günlerde 10 TL alınmış oluyor.","Ayın 10 asal gününde 100 TL, 20 normal gününde 100 TL toplam 200 TL kazanılmış oluyor."]},"beginTime":747,"endTime":852,"href":"/video/preview/8711821477755334823?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=747&ask_summarization=1"},{"index":9,"title":"Kuruyemiş Dükkanı Sorusu","list":{"type":"unordered","items":["Bir kuruyemiş dükkanı 40 kg fındık ve 35 kg badem satın almış.","Kuruyemişler birbirine karıştırmadan eşit ağırlıkta poşetlere konulacak.","Poşetler 1 kg veya 7 kg olabilir, en az poşet sayısını elde etmek için 7 kg poşetler kullanılmalı.","7 kg poşetler kullanıldığında toplam 11 poşet gerekiyor."]},"beginTime":852,"endTime":986,"href":"/video/preview/8711821477755334823?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=852&ask_summarization=1"},{"index":10,"title":"Nöbet Tutma Sorusu","list":{"type":"unordered","items":["Doktor Tankut Bey 6 günde bir, hemşire Tongu 8 günde bir nöbet tutuyor.","İkisi birlikte ilk nöbetlerini Perşembe günü tuttuklarına göre, bir sonraki nöbetlerini 24 gün sonra tutacaklar.","24 gün sonra Perşembe'den itibaren 3 gün ilerleyince Pazar gününe denk geliyor, bu nedenle bir sonraki nöbetlerini Pazar günü tutacaklar."]},"beginTime":986,"endTime":1106,"href":"/video/preview/8711821477755334823?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=986&ask_summarization=1"},{"index":11,"title":"Ölçme Problemi Çözümü","list":{"type":"unordered","items":["Ahmet ve Mehmet, A ile B arasındaki mesafeyi kendi şeritleriyle tam olarak ölçebilmektedirler.","Ahmet 15 cm, Mehmet 20 cm şeritleriyle ölçebiliyorsa, A ile B arasındaki mesafe 15 ve 20'nin ortak katı olmalıdır.","15 ve 20'nin ortak katları arasında 60 cm bulunur ve bu da doğru cevaptır."]},"beginTime":1108,"endTime":1195,"href":"/video/preview/8711821477755334823?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=1108&ask_summarization=1"},{"index":12,"title":"Sınıf Mevcudu Problemi","list":{"type":"unordered","items":["Birinci sınıftaki öğrenciler beden eğitimi dersinde hem 3'erli hem de 4'erli şekilde sıra olabilmektedirler.","Bu durumda sınıf 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Bir öğretmen, öğrencilere matematik konularını adım adım anlatmaktadır.","Video, asal sayılar, asal çarpanlarına ayırma, EBOB (Ortak Bölenlerin En Büyüğü) ve EKOK (Ortak Katların En Küçüğü) konularını kapsamaktadır. İçerik, bölünme kuralları, aralarında asal sayılar, oran-orantı ve geometrik problemler gibi çeşitli matematik konularını içermektedir. Öğretmen, ÖSYM zor tipi sorular üzerinden konuları pekiştirmekte ve her problem için çözüm stratejilerini göstermektedir.","Videoda ayrıca öğrencilere sınav hazırlığı için not alma ve zor soruları deftere yazma tavsiyeleri de verilmektedir. İçerik, temel zayıf olan öğrencilere yardımcı olmak için daha kolay sorularla başlayıp, ileride daha zor videolarda devam edeceğini belirtmektedir."]},"endTime":2157,"title":"Matematik Eğitim Videosu: Asal Sayılar, EBOB-EKOK ve Bölünme Kuralları","beginTime":0}],"fullResult":[{"index":0,"title":"Asal Sayılar ve Ardışık Sayılar","list":{"type":"unordered","items":["Videoda asal sayı, asal çarpanlarına ayırma, EBOB ve EKOK konuları ele alınacak.","Ardışık iki doğal sayı aralarında asaldır, yani ortak bölenleri sadece 1'dir.","Ardışık sayıların EBOB'u her zaman 1'dir."]},"beginTime":5,"endTime":82,"href":"/video/preview/18082018088259214239?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=5&ask_summarization=1"},{"index":1,"title":"Ardışık Sayılarla İlgili Örnek Soru","list":{"type":"unordered","items":["Ardışık iki doğal sayının çarpımı 182 ise, bu sayılar 13 ve 14'tür.","Ardışık sayılar için denklem çözmek yerine, pozitif değerler 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sorular kolaydır, ancak bu kalıbın en zor soru tipidir.","Bu tür soruları çözmek için \"sihirli sayı\" (virüslü sayı) bulunur; bu sayı hiçbir türlü bölünmeyen, ancak diğer sayıların özelliklerini taşıyan bir sayıdır."]},"beginTime":629,"endTime":673,"href":"/video/preview/18082018088259214239?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=629&ask_summarization=1"},{"index":6,"title":"Sihirli Sayı Probleminin Çözümü","list":{"type":"unordered","items":["Üç şartı da sağlayan \"sihirli sayı\" 13'tür; 358'e bölünen her sayı 13'ü ekleyerek tüm özelliklerini kazanır.","358'in EKOK'u 120'dir ve 120'e bölünen en büyük üç basamaklı sayı 967'dir.","967'e 13 eklenince 973 elde edilir, bu da sorunun cevabıdır."]},"beginTime":673,"endTime":815,"href":"/video/preview/18082018088259214239?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=673&ask_summarization=1"},{"index":7,"title":"Öğrencilere Tavsiyeler","list":{"type":"unordered","items":["Videolardan sonra not alıp soru defteri oluşturmak öğrencilere tavsiye ediliyor.","Sınava bir ay kala öğrenciler stres olabilir, bu defter sayesinde son 15 gün tekrar edebilirler.","Çözülen bazı sorular gerçekten zor tip olduğundan, not alıp yapamadıkları soruları tekrar sormaları öneriliyor."]},"beginTime":815,"endTime":865,"href":"/video/preview/18082018088259214239?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=815&ask_summarization=1"},{"index":8,"title":"EBOB ve EKOK Problemi","list":{"type":"unordered","items":["O ve AB'nin EBOB'u 12 olduğunda, AB=12m ve O=12k şeklinde ifade edilir.","96'dan 12'ye bölündüğünde k=8 bulunur ve a'nın alabileceği değerler toplamı hesaplanır.","96 ile 144 sayılarının ortak tam bölenleri, bu sayıların EBOB'u olan 48'in 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sayıların asal çarpanlarına ayırarak çözüm yapılır."]},"beginTime":1173,"endTime":1289,"href":"/video/preview/18082018088259214239?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=1173&ask_summarization=1"},{"index":11,"title":"Buluşma Problemi","list":{"type":"unordered","items":["Buluşma, yan yana gelme, karşılaşma gibi zaman geçen sorularda \"ok\" kavramı kullanılır.","120 metrelik bir pisti 8 m/s, 30 m/s ve 20 m/s hızlarla koşan üç kişi, 60 saniye sonra tekrar yan yana gelirler.","Buluşma problemlerinde, her kişinin bir tur atma süresi hesaplanır ve bu sürelerin en küçük ortak katı bulunur."]},"beginTime":1289,"endTime":1463,"href":"/video/preview/18082018088259214239?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=1289&ask_summarization=1"},{"index":12,"title":"Aralarında Asal Sayılar ve Denklem Çözümü","list":{"type":"unordered","items":["Aralarında asal sayılar problemlerinde, verilen ifadelerin aralarında asal çarpanlarına ayrılması gerekir.","Verilen denklemde, aralarında asal olan çarpanlar sadeleştirilerek çözüm yapılır.","Denklemin çözümü 9 olarak bulunur."]},"beginTime":1463,"endTime":1621,"href":"/video/preview/18082018088259214239?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=1463&ask_summarization=1"},{"index":13,"title":"Parçalama Problemi","list":{"type":"unordered","items":["Boyutları 360 cm, 400 cm ve 600 cm olan demir çubuklar, uzunlukları eşit çarpmayacak şekilde en büyük parçalara ayrılır.","Çubukların en büyük ortak böleni 120 cm olarak bulunur.","Parça sayısı bir eksiği kadar kesim olur: 360 cm için 2 kesim, 480 cm için 3 kesim, 600 cm için 4 kesim, toplam 9 kesim yapılır."]},"beginTime":1621,"endTime":1768,"href":"/video/preview/18082018088259214239?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=1621&ask_summarization=1"},{"index":14,"title":"Aralarında Asal Sayılar Problemi","list":{"type":"unordered","items":["Aralarında asal sayılar çarpımı 60 olarak verilmiştir.","Problemin çözümünde paydalar eşitlenerek y=4 bulunmuştur.","İlk sayı 15 olarak hesaplanmıştır."]},"beginTime":1771,"endTime":1843,"href":"/video/preview/18082018088259214239?parent-reqid=1769582308078016-313428264309065279-balancer-l7leveler-kubr-yp-sas-31-BAL&text=ASAK&t=1771&ask_summarization=1"},{"index":15,"title":"Küp Oluşturma Problemi","list":{"type":"unordered","items":["Kenar uzunlukları 2x, 3x, 4x olan tuğlalarla küp oluşturulacaktır.","Tuğlaların ayrıtları 496x olarak hesaplanmıştır.","Küpün bir kenarı 36k olarak bulunmuş ve 216 tuğla kullanılacağı 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