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Öğretmen, öğrencilere yazılı sınavına hazırlık için konuları anlatmaktadır.","Video, matematik yazılı sınavına hazırlık amacıyla çarpanlar ve katlar, asal sayılar, bölünebilme kuralları, ortak bölenler, ortak katlar, veri grupları, merkezi eğilim ölçüleri (aritmetik ortalama, ortanca, tepe değeri, açıklık) ve istatistik konularını kapsamaktadır. İçerik, teorik bilgilerin yanı sıra Milli Eğitim Bakanlığı örnek soruları ve \"Sıfırdan Altı'ya\" kitabından örnek problemlerin çözümlerini içermektedir.","Videoda ayrıca kök yaprak grafiği, nokta grafiği gibi görsel ifade yöntemleri ve veri toplama yöntemleri de anlatılmaktadır. Öğretmen, her konuyu adım adım açıklamakta ve sınavlarda çıkabilecek soru tiplerini göstermektedir. Video, öğrencilere yazılı sınavına hazırlık için hangi sayfaları çalışmaları gerektiğini ve yazılı provalarını çözmenin önemini vurgulamaktadır."]},"endTime":4192,"title":"Matematik Yazılı Hazırlık Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Matematik Yazılı Hazırlığı","list":{"type":"unordered","items":["Matematik yazılısı için belli sayılar, doğal sayıların çarpanları ve katları, istatistiksel araştırma süreci, kategorik ve nicel veri dağılımları konuları işlenecek.","Yazılı kampı haftası dolayısıyla tüm yazılı provaları yayınlanacak ve konu özeti yapılacak.","Öğrencilerden yazılı notları ve denemeleri yanlarına alıp çalışmalarını unutmamaları isteniyor."]},"beginTime":0,"endTime":55,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=0&ask_summarization=1"},{"index":1,"title":"Çarpanlar ve Katlar","list":{"type":"unordered","items":["Bir sayının çarpanları, o sayıyı tam bölen tüm sayılardır ve çarpanlar arasında kendisi ve bir mutlaka olmak zorundadır.","Bir sayının en büyük çarpanı kendisidir, en küçük çarpanı da bir'dir.","Bir sayının katları, o sayıyı tam bölen tüm sayılardır ve katların arasında kendisi de vardır."]},"beginTime":55,"endTime":194,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=55&ask_summarization=1"},{"index":2,"title":"Bölünebilme Kuralları","list":{"type":"unordered","items":["İki ile bölünebilme kuralı: Birler basamağı çift olan sayılar iki ile bölünür.","Beş ile bölünebilme kuralı: Birler basamağı 0, 5 olan sayılar beş ile bölünür.","Üç ile bölünebilme kuralı: Rakamları toplamı üçün katı olan sayılar üç ile bölünür.","Dokuz ile bölünebilme kuralı: Rakamları toplamı dokuzun katı olan sayılar dokuz ile bölünür.","Altı ile bölünebilme kuralı: Hem iki ile hem üç ile bölünebilen sayılar altı ile bölünür.","Dört ile bölünebilme kuralı: Son iki basamağı oluşturan sayı ya da dörtün katı olan sayılar dört ile bölünebilir."]},"beginTime":194,"endTime":374,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=194&ask_summarization=1"},{"index":3,"title":"Yazılı Hazırlık Önerileri","list":{"type":"unordered","items":["Yazılı için sayfa 8-16 arasını çalışmak ve birinci yazılı senaryolarına uygun örnek soruları çözmek gerekiyor.","Yazılı denemelerinden birinci yazılı provasını çözmek ve sayfa 22-43 arasında çalışmak öneriliyor.","Matematikte çıkacak konular: çarpanlar, katlar, bölünebilme kuralları, asal sayılar ve asal çarpanlar, ortak katlar, ortak bölenler, araştırma sorusu oluşturma, verileri görselleştirme.","Yazılı provası izlemek için YouTube'da kodlar ve eksik konuları kapatmak için kodlar paylaşılıyor."]},"beginTime":374,"endTime":476,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=374&ask_summarization=1"},{"index":4,"title":"Asal Sayılar","list":{"type":"unordered","items":["Asal sayılar sadece kendisi ve bir'e bölünebilen sayılardır; en küçük asal sayı iki, ardından üç, beş, yedi, onbir, onüç, onyedi, ondokuz, yirmiüç ve yirmidokuz şeklinde ilerler.","Asal çarpanlar bulmak için en küçük asal sayı ile bölme işlemi yapılır; örneğin 30'un asal çarpanları 2, 3 ve 5'tir.","İki çift asal sayıdır ve en küçük çift asal sayıdır; diğer asal sayılar hep tektir."]},"beginTime":478,"endTime":603,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=478&ask_summarization=1"},{"index":5,"title":"Ortak Bölenler ve Ortak Katlar","list":{"type":"unordered","items":["Ortak bölenler, iki veya daha fazla sayının ortak bölenleridir; örneğin 18 ve 45'in ortak bölenleri 1, 3 ve 9'dur.","Ortak katlar, iki veya daha fazla sayının ortak katlarıdır; örneğin 9 ve 12'nin 80'den küçük ortak katları 36 ve 72'dir.","Aralarında asal sayılar, birden başka ortak böleni olmayan sayılardır; örneğin 10 ve 21, 15 ve 16 aralarında asaldır."]},"beginTime":603,"endTime":753,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=603&ask_summarization=1"},{"index":6,"title":"İstatistik ve Veri Türleri","list":{"type":"unordered","items":["Veri türleri ikiye ayrılır: kategorik veri (sayılarla ölçülemeyen, örneğin saç rengi, film kategorisi) ve nicel veri (sayılarla ölçülen, örneğin boy, okunan kitap sayısı).","Araştırma soruları kategorik veya nicel olabilir; örneğin \"Sınıfta en çok hangi meyve seviliyor?\" kategorik veri sorusudur, \"Sınıfta öğrencinin kaç kardeşi var?\" nicel veri sorusudur.","Veri toplama yöntemleri arasında anket sorusu hazırlama bulunur; bazı sorular karşılaştırma gerektirmeyen, bazıları karşılaştırma gerektiren sorulardır."]},"beginTime":753,"endTime":934,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=753&ask_summarization=1"},{"index":7,"title":"Kök Yaprak Grafiği","list":{"type":"unordered","items":["Kök yaprak grafiği, veri grubunu kökler ve yapraklar şeklinde ikiye ayırarak gösterir.","Kökler, birler basamağı dışında kalan basamakları; yapraklar ise birler basamağını temsil eder.","Örneğin, 12, 16, 12, 21, 20, 22, 25, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20"]},"beginTime":934,"endTime":1031,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=934&ask_summarization=1"},{"index":8,"title":"Veri Gruplarının Gösterimi","list":{"type":"unordered","items":["Veri grupları farklı basamaklarda gösterilebilir, örneğin onlar basamağı ve birler basamağı şeklinde.","Yirmi'li sayılar (20, 21, 22, 25) ve otuz'lu sayılar (32, 36) gibi gruplar oluşturulabilir.","Veri gruplarında farklı sayı grupları bulunabilir ve her gruptaki sayı sayısı sayılabilir."]},"beginTime":1032,"endTime":1155,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=1032&ask_summarization=1"},{"index":9,"title":"Merkezi Eğilim Ölçüleri","list":{"type":"unordered","items":["Veri grubunu yorumlamak için aritmetik ortalama, ortanca, tepe değeri ve açıklık gibi merkezi eğilim ölçüleri kullanılır.","Veri grubunu yorumlamak için önce küçükten büyüğe doğru sıralamak gerekir.","Açıklık, en büyük değerden en küçük değeri çıkarmakla bulunur, tepe değeri ise en çok tekrar eden değerdir."]},"beginTime":1155,"endTime":1228,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=1155&ask_summarization=1"},{"index":10,"title":"Ortanca ve Aritmetik Ortalama","list":{"type":"unordered","items":["Ortanca değer, veriler küçükten büyüğe sıralandığında tam ortadaki sayıdır.","Aritmetik ortalama, tüm verilerin toplamının veri sayısına bölünmesiyle bulunur.","Tepe değeri bazen iki tane olabilir, tekrar eden değer yoksa tepe değeri olmayabilir."]},"beginTime":1228,"endTime":1310,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=1228&ask_summarization=1"},{"index":11,"title":"Dikdörtgen Alanı Problemi","list":{"type":"unordered","items":["Alanı 60 metrekare olan dikdörtgen şeklindeki bahçenin kenar uzunlukları metre cinsinden doğal sayılardır.","60'ın çarpanları (1×60, 2×30, 3×20, 4×15, 5×12, 6×10) bulunarak bahçenin kenar uzunlukları hesaplanabilir.","Bahçenin kısa kenar uzunluğu 1, 2, 3, 4, 5 veya 6 metre olabilir."]},"beginTime":1310,"endTime":1412,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=1310&ask_summarization=1"},{"index":12,"title":"Matematik Soru Çözümü","list":{"type":"unordered","items":["Örnek sorular Milli Eğitim Bakanlığı tarafından yayınlanmış ve Tonguç Eren Bey'in yazılı provasına benzer sorular eklenmiştir.","Bir sayının doğal sayı çarpanları küçükten büyüğe doğru sıralandığında, en küçük çarpan 1, en büyük çarpan ise sayının kendisidir.","54 sayısının çarpanları 1, 2, 3, 6, 9, 18, 27 ve 54'tür ve TGC'nin toplamı 44'tür."]},"beginTime":1415,"endTime":1513,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=1415&ask_summarization=1"},{"index":13,"title":"Yazılı Hazırlık Önerileri","list":{"type":"unordered","items":["Yazılı programında örnek sorular, senaryolar ve yazılı provalar farklı yerlerde yayınlanmıştır.","Yazılı notlarından sayfa 8-16 arasında çalışılması ve konu özetinin tekrar edilmesi gerekmektedir.","Matematikle ilgili yazılı provaları sayfa 22-43 arasında tamamlamak ve yazılımetre ile kaç alacağını tespit etmek önemlidir."]},"beginTime":1513,"endTime":1621,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=1513&ask_summarization=1"},{"index":14,"title":"Şifre Problemi","list":{"type":"unordered","items":["Emre'nin bilgisayar şifresi 2, 5 ve 9 ile tam bölünebilen dört basamaklı bir sayıdır.","Şifrenin binler ve onlar basamağındaki rakamlar sırasıyla 1 ve 6 olduğuna göre, yüzler basamağındaki rakam 2'dir.","Birler basamağı hem 2 hem 5 ile bölünebilmesi için 0 ile 5 arasında olmalı, ancak 5 ile bölünebilmesi için 0 ile 5 arasında olmalı."]},"beginTime":1621,"endTime":1750,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=1621&ask_summarization=1"},{"index":15,"title":"Ceviz Sayısı Problemi","list":{"type":"unordered","items":["Bir çuvallık ceviz sayısı 125k kare sayısına eşittir ve 9 ile kalansız bölünebilmektedir.","Ceviz sayısı 1251'dir ve 6 ile kalansız bölünebilmesi için 3 ceviz eklenmelidir.","6 ile bölünebilme için hem 2 ile hem de 3 ile bölünebilmesi gerekir, 2 ile bölünebilme için birler basamağının çift olması, 3 ile bölünebilme için rakamları toplamının 3'ün katı olması gerekir."]},"beginTime":1750,"endTime":1959,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=1750&ask_summarization=1"},{"index":16,"title":"Kart Problemi","list":{"type":"unordered","items":["Her iki yüzünde birer doğal sayı yazan kartların ön yüzlerinde sayılar gösterilmiştir.","Kartların her birinin ön ve arka üzerinde yazan sayıların toplamı bir asal sayıya eşittir.","Sorunun devamı, kartların her birinin arka üzerinde yazabilecek en küçük doğal sayıyı bulmaktır."]},"beginTime":1959,"endTime":1992,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=1959&ask_summarization=1"},{"index":17,"title":"Asal Sayılar ve Özellikleri","list":{"type":"unordered","items":["Asal sayıları iyi anlamak sınavda \"hangisi asal değildir?\" veya \"hangisi asaldır?\" sorularında başarılı olmak için gereklidir.","Asal sayılar 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 73 şeklinde devam eder.","Asal sayılarla ilgili örnek sorularda, bir sayının arkasına en yakın asal sayı eklenerek toplamın asal olması istenebilir."]},"beginTime":1997,"endTime":2050,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=1997&ask_summarization=1"},{"index":18,"title":"Asal Sayılarla İlgili Problemler","list":{"type":"unordered","items":["15 ile arkasındaki sayının toplamı asal sayı olacak şekilde yazılabilecek en küçük doğal sayılar 2, 3, 4, 1 ve 5'tir.","Bu sayıların toplamı 15'tir ve 15'in asal çarpanları 2, 3 ve 5'tir.","Kenar uzunlukları asal sayılar olan dört dikdörtgenden oluşan bir şekildedir ve soru işareti gösteren bölgenin alanının alabileceği değerler 14, 21, 10 ve 15 santimetre kare olabilir."]},"beginTime":2050,"endTime":2309,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=2050&ask_summarization=1"},{"index":19,"title":"Aralarında Asal Sayılar Problemi","list":{"type":"unordered","items":["Elif'in elinde sayılar yazılı pullar vardır ve 18 ile aralarında asal olan pulları kırmızı kutuya, 35 ile aralarında asal olan pulları mavi kutuya koymak istiyor.","Her iki sayı ile aralarında asal olan pullar Elif'in arkadaşına veriliyor.","Elif'in elinde kalan pullarda yazan sayılar 1, 5, 7, 8, 9, 13 ve 15'tir."]},"beginTime":2309,"endTime":2445,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=2309&ask_summarization=1"},{"index":20,"title":"Ortak Bölen Problemleri","list":{"type":"unordered","items":["İki sayının ortak bölenleri bulunarak, 15 ve 21 kartlarının Elif'e kalacağı belirleniyor.","Bir duraktan 25 dakikada bir otobüs ve 30 dakikada bir minibüs hareket ediyor, saat 17'ye kadar hangi saatlerde tekrar birlikte hareket edeceklerini bulmak için ortak katlar kullanılıyor.","25 ve 30'un ortak katı 150 dakika (2 saat 30 dakika) olduğu için, saat 10:30, 13:00 ve 15:30'da tekrar birlikte hareket edecekler."]},"beginTime":2446,"endTime":2656,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=2446&ask_summarization=1"},{"index":21,"title":"Ortak Bölen Problemi","list":{"type":"unordered","items":["24 kilogram bulgur ve 36 kilogram pirinç birbirine karıştırılmadan kütleleri eşit olacak şekilde torbalara paylaştırılacak, torbaların kütlesi kilogram cinsinden bir doğal sayı olduğuna göre kaç kilogramlık torbalar kullanılacağı bulunuyor.","24 ve 36'ın ortak bölenleri 1, 2, 3, 4, 6 ve 12 olduğu için, 1, 2, 3, 4, 6 ve 12 kilogramlık torbalar kullanılabilir."]},"beginTime":2656,"endTime":2767,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=2656&ask_summarization=1"},{"index":22,"title":"Ortak Kat Problemi","list":{"type":"unordered","items":["Tongül bir yapbozu günde 24 parça ya da günde 18 parçaya yerleştirerek bir haftadan fazla sürede bitirebilmektedir, yapbozun en az kaç parçadan oluştuğu bulunuyor.","24 ve 18'in ortak katları 72 ve katları olduğu için, yapbozun en az 72'nin katı olması gerekiyor.","Bir haftadan fazla sürede bitirebilmek için 72'nin katlarından 168'den fazla olan 216 parça en uygun parça sayısı olarak belirleniyor."]},"beginTime":2767,"endTime":2935,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=2767&ask_summarization=1"},{"index":23,"title":"İstatistik Problemi","list":{"type":"unordered","items":["Sağlıklı yaşam alışkanlıkları konulu bir araştırma için hazırlanmış sorulardan hangilerinin kategorik veri, hangilerinin nicel veri toplamak amacıyla hazırlanmış araştırma sorusu olduğu belirleniyor.","Kategorik veriler sonucunda sayı çıkmayan verilerdir (mavi, yeşil, büyük, küçük, spor hangisi gibi), nicel veriler ise sayı sonuçları veren verilerdir (bir günde kaç litre su içiyorsun gibi).","\"En çok hangi egzersizleri yapmaktan hoşlanıyorsunuz?\" ve \"Kahvaltıda genellikle ne tür yiyecekler tüketiyorsun?\" kategorik veri toplamak için hazırlanmış araştırma sorularıdır, \"Günde ortalama kaç saat uyuyorsun?\" ve \"Günde kaç litre su içiyorsun?\" ise nicel veri toplamak için hazırlanmış araştırma sorularıdır."]},"beginTime":2935,"endTime":3034,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=2935&ask_summarization=1"},{"index":24,"title":"Dijital Platform Kullanımı Hakkında Araştırma Soruları","list":{"type":"unordered","items":["Öğrencilerin okulda en çok hangi dijital platformu kullandığı (EBA, YouTube, Tonguç) ve tablet kullanan öğrencilerle bilgisayar kullanan öğrencilerin tercih ettiği dijital etkinlik türleri (oyun oynamak, test çözme) hakkında araştırma soruları inceleniyor.","Tonguç ve Tongul'ün oluşturdukları soruların benzer yönleri kategorik sonuçlar vermesi (EBA, YouTube, Tonguç gibi cevaplar) ve araştırma soruları olmasıdır.","Tongul'ün sorusu karşılaştırma gerektiren bir araştırma sorusu olup, tablet kullananlarla bilgisayar kullananların farklılıklarını göstermektedir."]},"beginTime":3039,"endTime":3181,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=3039&ask_summarization=1"},{"index":25,"title":"Evde Kitap Okuma Alışkanlıkları Araştırması","list":{"type":"unordered","items":["Altıncı sınıf öğrencilerinin evde kitap okuma alışkanlıklarını belirlemek amacıyla yapılan bir araştırmada, öğrencilerin günde kaç saat veya kaç sayfa kitap okuduğu sorulabilir.","Bu sorulardan elde edilen veriler nicel türdedir çünkü sayılarla ifade edilir.","Veri toplama araçları olarak anket veya gözlem formu kullanılabilir, elde edilen veriler kök-yaprak grafiği, nokta grafiği veya tablo şeklinde ifade edilebilir."]},"beginTime":3181,"endTime":3322,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=3181&ask_summarization=1"},{"index":26,"title":"Kök-Yaprak Grafiği Analizi","list":{"type":"unordered","items":["Kök-yaprak grafiğinde Tonguç'un günlere göre çözdüğü soru sayıları gösterilmiştir.","Bir günde en fazla 44, en az 10 soru çözülmüştür.","30 ile 40 soru arasında soru çözdüğü gün sayısı 4'tür."]},"beginTime":3322,"endTime":3406,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=3322&ask_summarization=1"},{"index":27,"title":"Kök Yaprak Gösterimi","list":{"type":"unordered","items":["Kök yaprak gösteriminde onlar basamakları bir çizginin solunda, birler basamakları ise sağında gösterilir.","Kök yaprak gösteriminde sadece birler basamağı olan sayılar sağ tarafa yazılır.","Kök yaprak gösteriminde onlar basamağındaki sayılar, onlar basamağında sıfır olanlar ve hiç olmayanlar ayrı ayrı gösterilir."]},"beginTime":3408,"endTime":3551,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=3408&ask_summarization=1"},{"index":28,"title":"Nokta Grafiği ve Kök Yaprak Gösterimi","list":{"type":"unordered","items":["Nokta grafiği, sayı doğrusunun üzerinde noktalarla gösterilen bir grafik türüdür.","Nokta grafiğinde her bir noktanın sayısı, o ağaçın boyunu gösterir.","Kök yaprak grafiği oluşturulurken, her bir ağaçın boyu ve sayısı ayrı ayrı gösterilir."]},"beginTime":3551,"endTime":3761,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=3551&ask_summarization=1"},{"index":29,"title":"Açıklık Kavramı","list":{"type":"unordered","items":["Açıklık, en büyük değerle en küçük değer arasındaki farktır.","Hasan'ın boyu, grubun en uzun olduğunda 169 cm, en kısa olduğunda ise 145 cm olabilir.","Açıklık kavramı bazı sınavlarda çıkmayabilir çünkü son konulara gelmektedir."]},"beginTime":3761,"endTime":3880,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=3761&ask_summarization=1"},{"index":30,"title":"Aritmetik Ortalama Hesaplama","list":{"type":"unordered","items":["Birinci gruptaki kişilerin yaş ortalaması 25, ikinci gruptaki kişilerin yaş ortalaması 30'dur.","Birinci gruptaki Ali'nin yaşı 8'dir.","İkinci gruptaki Ayşe'nin yaşı 54'tür."]},"beginTime":3880,"endTime":4012,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=3880&ask_summarization=1"},{"index":31,"title":"Merkezi Eğilim Ölçüleri Hesaplama","list":{"type":"unordered","items":["Tabloda Mart ayının ilk on iki gününe ait gündüz sıcaklık değerleri gösterilmiştir.","Merkezi eğilim ölçüleri (tepe değer, açıklık, ortanca ve aritmetik ortalama) hesaplanmıştır.","Tepe değer 8 derece olarak bulunmuştur çünkü 6 gün boyunca tekrar etmiştir."]},"beginTime":4015,"endTime":4090,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=4015&ask_summarization=1"},{"index":32,"title":"Açıklık ve Ortanca Değer","list":{"type":"unordered","items":["Açıklık, maksimum değerden minimum değerin farkıdır ve 16-8=8 olarak hesaplanmıştır.","Ortanca değer, verilerin tam ortasındaki değerdir ve 10 olarak bulunmuştur.","Aritmetik ortalama, tüm değerlerin toplamının veri sayısına bölünmesiyle hesaplanır ve yaklaşık 10,15 olarak bulunmuştur."]},"beginTime":4090,"endTime":4141,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=4090&ask_summarization=1"},{"index":33,"title":"Yazılı Hazırlık Önerileri","list":{"type":"unordered","items":["Tüm konuların tekrar edilmesi ve yazılı provalarından sonra yazılı notlarının çalışılması önerilmektedir.","Sayfa 8'den itibaren yazılı denemeleri ve şampiyon paketindeki dinamo tüm dersler ve zoru bankasındaki yazılı provalarının bitirilmesi tavsiye edilmektedir.","Videoyu beğenmek ve kanala abone olmak istenmektedir."]},"beginTime":4141,"endTime":4188,"href":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=4141&ask_summarization=1"}],"linkTemplate":"/video/preview/11617775695886619753?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"6.Sınıf Matematik 1.Dönem 1.Yazılıya Hazırlık #6mat1d1y #2026","related_orig_text":"YRH Matei","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"YRH 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Öğretmen, Milli Eğitim Bakanlığı'nın yayınladığı senaryolara göre sınavda çıkabilecek konuları anlatmaktadır.","Video, geometri konularını kapsamlı şekilde ele almaktadır. Düzlemde iki doğru ve üç doğrunun birbirine göre durumları, açıları ölçme, çokgenler ve çemberler konuları detaylı olarak açıklanmaktadır. Öğretmen, açı çeşitleri, üçgen çeşitleri, çemberlerle üçgen inşa etme, paralel doğrular ve dikme çizme gibi konuları örneklerle anlatmakta ve sınavlarda çıkabilecek soru tiplerini çözmektedir.","Videoda ayrıca açı ölçer, pergel, gönye gibi araçların kullanımı, geometrik şekillerin çizimi ve ölçülerinin hesaplanması gibi pratik uygulamalar da gösterilmektedir. Öğretmen, öğrencilere yazılı notları, yazılı denemeleri ve diğer kaynakları nasıl kullanacakları hakkında tavsiyeler vererek sınav hazırlığı için kapsamlı bir kaynak sunmaktadır."]},"endTime":4476,"title":"Matematik Yazılı Hazırlık Dersi: Geometri Konuları","beginTime":0}],"fullResult":[{"index":0,"title":"Matematik Yazılı Hazırlığı","list":{"type":"unordered","items":["Matematik yazılısı zor olmayacak ve Milli Eğitim Bakanlığı sınavda hangi konulardan kaç soru çıkacağını senaryoları adı altında yayınlıyor.","Yazılı programında konu özeti, Tonguç Celal'ın süper soruları ve örnek sorularla tüm konular tekrar edilecek.","Öğrencilerin yapması gereken konu özetlerini dinlemek, yazılı provalarını izlemek ve yazılı notlarından sayfa 8-16 arasını çalışmak."]},"beginTime":0,"endTime":132,"href":"/video/preview/13524637340260755738?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=0&ask_summarization=1"},{"index":1,"title":"Sınavda Kullanılacak Malzemeler","list":{"type":"unordered","items":["Açıları ölçmede açı ölçer, pergel ve cetvel mutlaka kullanılacak.","Çokgenler ve çemberler konuları sınavda önemli olacak, özellikle üçgen çiziminde iyi bilgi gerekiyor.","Sınavda açı ölçer, pergel ve cetvel olmadan sınava girmemek gerekiyor."]},"beginTime":132,"endTime":168,"href":"/video/preview/13524637340260755738?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=132&ask_summarization=1"},{"index":2,"title":"Temel Geometrik Çizimler","list":{"type":"unordered","items":["Nokta sembolle gösterimi basit, büyük A harfi ile yazılır.","Doğru parçası başı belli, sonu belli olan çizgidir ve köşeli parantezle gösterilir.","Doğru başı belli ama sonu sonsuza doğru giden çizgidir ve köşeli parantezsiz 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aynı olan doğrulardır.","Paralel doğrular \"d ∥ e\" şeklinde gösterilir ve paralellik işareti iki çizgi ile gösterilir."]},"beginTime":372,"endTime":498,"href":"/video/preview/13524637340260755738?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=372&ask_summarization=1"},{"index":5,"title":"Açı Ölçümü ve Türleri","list":{"type":"unordered","items":["Açı ölçüsü \"m\" harfi ile gösterilir ve açı şapkası kullanılır, \"m\" harfi İngilizce'deki \"major\" (ölçü) kelimesinden gelir.","Açı ölçer kullanırken, açının bir köşesi ölçerin bir noktasına, diğer kenarı ise ölçerin sıfıra denk gelen noktasına getirilir.","Tam açı 360 derece, doğru açı 180 derece, dik açı ise 90 derecedir."]},"beginTime":502,"endTime":645,"href":"/video/preview/13524637340260755738?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=502&ask_summarization=1"},{"index":6,"title":"Açı Çeşitleri","list":{"type":"unordered","items":["Ölçüsü 0°'dan büyük ve 90°'den küçük olan açılara dar açı denir.","Ölçüsü 90° olan açılara dik açı denir.","Ölçüsü 90°'dan büyük ve 180°'den küçük olan açılara geniş açı denir."]},"beginTime":645,"endTime":758,"href":"/video/preview/13524637340260755738?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=645&ask_summarization=1"},{"index":7,"title":"Doğruların Durumları","list":{"type":"unordered","items":["İki doğru tek bir noktada kesişirse kesişen doğrular olarak adlandırılır.","İki doğru arasında 90° açı varsa dik kesişen doğrular veya dik doğrular olarak adlandırılır.","İki doğru aynı noktada kesişirse paralel doğrular olarak adlandırılır ve asla birleşmezler.","İki doğru üst üste gelirse çakışık doğrular olarak adlandırılır."]},"beginTime":758,"endTime":882,"href":"/video/preview/13524637340260755738?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=758&ask_summarization=1"},{"index":8,"title":"Açı İlişkileri","list":{"type":"unordered","items":["Ters açılar birbirine eşittir ve karşılıklı açılar birbirine eşittir.","Bir doğrunun üzerindeki tüm açıların toplamı 180°'dir.","Komşu açılar, bir açının yanında bulunan açılardır ve ortadaki nokta her zaman aynı olmak zorundadır."]},"beginTime":882,"endTime":1056,"href":"/video/preview/13524637340260755738?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=882&ask_summarization=1"},{"index":9,"title":"Üç Doğrunun Durumları","list":{"type":"unordered","items":["Üç doğru tek bir noktada kesişebilir.","Üç doğru iki noktada kesişebilir, bu durumda iki doğru paralel, biri kesen olur.","Üç doğru üç noktada kesişebilir veya hiç kesişmeyebilirler (paralel olmak zorunda)."]},"beginTime":1057,"endTime":1170,"href":"/video/preview/13524637340260755738?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=1057&ask_summarization=1"},{"index":10,"title":"Tümler ve Bütünler Açılar","list":{"type":"unordered","items":["Ölçüleri toplamı 90 derece olan iki açı tümler açıdır.","Ölçüleri toplamı 180 derece olan iki açı bütünler açıdır.","Komşu tümler açılar yan yana olan ve ölçüleri toplamı 90 derece olan açılardır.","Komşu bütünler açılar yan yana olan ve ölçüleri toplamı 180 derece olan açılardır."]},"beginTime":1170,"endTime":1312,"href":"/video/preview/13524637340260755738?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=1170&ask_summarization=1"},{"index":11,"title":"Çokgenler","list":{"type":"unordered","items":["Çokgen, en az üç doğrunun ardışık kesişmesiyle oluşan kapalı şekildir.","Çokgenler kenar sayısına göre isimlendirilir (üçgen, dörtgen, beşgen vb.).","Çokgenlerde köşeler, kenarlar, iç açılar ve dış açılar vardır.","Düzgün çokgen, bütün kenar uzunlukları ve açı ölçüleri eşit olan çokgendir."]},"beginTime":1312,"endTime":1508,"href":"/video/preview/13524637340260755738?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=1312&ask_summarization=1"},{"index":12,"title":"Üçgen Çeşitleri","list":{"type":"unordered","items":["Üçgenler açılarına göre dar açılı, dik açılı ve geniş açılı olmak üzere üç çeşittir.","Üçgenin iç açıları toplamı mutlaka 180 derecedir.","Üçgenler kenarlarına göre eşkenar üçgen, ikizkenar üçgen ve çeşitkenar üçgen olmak üzere üç çeşittir."]},"beginTime":1508,"endTime":1643,"href":"/video/preview/13524637340260755738?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=1508&ask_summarization=1"},{"index":13,"title":"Çemberlerle Üçgen İnşa Etme","list":{"type":"unordered","items":["Üçgen inşa etmede çemberler kullanılır; eşit büyüklükteki çemberlerin merkezleri birbirinin üzerinden geçecek şekilde konumlandırıldığında eşkenar üçgen oluşur.","Eş büyüklükte çemberlerin merkezleri birbirinden uzak konumlandırıldığında ikizkenar üçgen, farklı büyüklükte çemberlerle ise çeşitkenar üçgen oluşur.","Çemberlerle üçgen inşa etme konusu sınavlarda da sorulmuştur."]},"beginTime":1645,"endTime":1804,"href":"/video/preview/13524637340260755738?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=1645&ask_summarization=1"},{"index":14,"title":"Yazılı Hazırlık Önerileri","list":{"type":"unordered","items":["Yazılı provası öncesi yazılı notlarından 8-16 sayfa arası çalışılmalı ve yazılı denemelerinden 13-24 sayfa arası çözülmelidir.","\"Yazıdan Kaçacağım\" sayfasında matematikte temel geometrik şekiller, açıları ölçme, doğruların yolculuğu, çokgenler ve üçgenler konuları listelenmiştir.","80 ve üzeri almak isteyenler sadece yazılı provasını, 90 ve üzeri hedefleyenler yazılı notları ve denemeleri, 100 garanti isteyenler ise şampiyon paketindeki yazılıya hazırlık sayfalarını çözmelidir."]},"beginTime":1804,"endTime":1914,"href":"/video/preview/13524637340260755738?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=1804&ask_summarization=1"},{"index":15,"title":"Geometrik Şekillerin Tanımlanması","list":{"type":"unordered","items":["Bir, iki, üç nokta, sekiz numaralı kısımlar nokta, doğru parçası, ışın, doğru açı, çember, merkez ve yarıçap olarak isimlendirilmiştir.","Doğru parçası, ışın ve doğru gibi geometrik şekillerin isimlendirilmesi ve gösterimi açıklanmıştır.","Çemberin merkezi, yarıçapı ve açı gibi geometrik kavramların tanımlanması yapılmıştır."]},"beginTime":1914,"endTime":2064,"href":"/video/preview/13524637340260755738?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=1914&ask_summarization=1"},{"index":16,"title":"Çember ve Doğru Çizimi Uygulaması","list":{"type":"unordered","items":["Milli Eğitim Bakanlığı'nın yayınladığı örnek sorularda ilk sınavda sorulması gereken uygulama soruları bulunmaktadır.","Cetvel yardımıyla 5 cm uzunluğunda MN doğru parçası çizilmiştir.","Pergel 5 cm açık tutularak M noktasına yerleştirilerek çember çizilmiştir."]},"beginTime":2066,"endTime":2222,"href":"/video/preview/13524637340260755738?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=2066&ask_summarization=1"},{"index":17,"title":"Dik Doğru Çizimi ve Çemberin Elemanları","list":{"type":"unordered","items":["Gönye ve açı ölçer kullanılarak MN doğru parçasına dik olan bir doğru oluşturulmuştur.","Çemberin MN doğrusunu kestiği noktalar K ve L olarak isimlendirilmiştir.","Oluşan KL doğru parçasının çemberin yarıçapı olduğu belirtilmiş, yarıçapın 5 cm olduğu ve çapın 10 cm olduğu hesaplanmıştır."]},"beginTime":2222,"endTime":2400,"href":"/video/preview/13524637340260755738?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=2222&ask_summarization=1"},{"index":18,"title":"Dikme Çizimi ve Uzunlukları","list":{"type":"unordered","items":["T ve P noktalarından AB doğrusuna dikmeler çizilerek uzunlukları bulunmuştur.","P noktasından gönye kullanılarak, T noktasından açı ölçer kullanılarak dikmeler çizilmiştir.","Dikmelerin uzunlukları kareli kağıttan sayarak P'den PR doğrusunun uzunluğu 4 birim, T'den TS doğrusunun uzunluğu 5 birim olarak 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Kullanımı","list":{"type":"unordered","items":["Açı ölçer yardımıyla açıların ölçülerini ölçüp sembolle göstermek ve açı çeşitlerini yazmak gerekiyor.","Açı ölçer kullanırken açının orta noktasını ölçer ve bir kolu sıfırın üzerinde olacak şekilde yerleştiriyoruz.","Dik açı 90 derece, dar açı 90 dereceden küçük, geniş açı 90 dereceden büyük olarak sınıflandırılır."]},"beginTime":2735,"endTime":2776,"href":"/video/preview/13524637340260755738?parent-reqid=1765313191169654-4822143812664304844-balancer-l7leveler-kubr-yp-vla-164-BAL&text=YRH+Matei&t=2735&ask_summarization=1"},{"index":21,"title":"Açı Ölçümü Örnekleri","list":{"type":"unordered","items":["ABC açısının ölçüsü 90 derece olduğu için dik açıdır ve m(ABC) = 90° şeklinde yazılır.","KLM açısının ölçüsü 45 derece olduğu için dar açıdır ve m(KLM) = 45° şeklinde yazılır.","SRP açısının ölçüsü 125 derece olduğu için geniş açıdır ve m(SRP) = 125° şeklinde 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