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Sınıf Matematik: Çokgenler ve Düzgün Çokgenler","beginTime":0}],"fullResult":[{"index":0,"title":"Çokgenler Konusuna Giriş","list":{"type":"unordered","items":["12 Nisan 2021 Pazartesi günü çokgenler konusu ele alınacak.","Çokgen, düzgün çokgen, iç açı ve dış açı kavramları incelenecek.","Matematik öğrenmek için sadece öğrenip geçmek yeterli değil, soru çözmek ve üretmek gerekiyor."]},"beginTime":16,"endTime":119,"href":"/video/preview/2074242416999229460?parent-reqid=1769287221405590-7464791729155453067-balancer-l7leveler-kubr-yp-vla-163-BAL&text=Calchick7&t=16&ask_summarization=1"},{"index":1,"title":"Çokgen ve Düzgün Çokgen Tanımı","list":{"type":"unordered","items":["Doğrusal olmayan en az üç doğru parçasının bir araya gelmesiyle oluşan şekillere çokgen denir.","Tüm iç açıları ve kenarları birbirine eşit olan çokgenlere düzgün çokgen denir.","Düzgün çokgenlerin örnekleri: kare, eşkenar üçgen, düzgün beşgen ve düzgün 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Ödevlerdeki kitaplar için👉https://www.tongucmagaza.com/tongucma...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3499540/7603d644e32b820f660cf5ae1cf3062d/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/f7aPcwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"3","reqid":"1769287221405590-7464791729155453067-balancer-l7leveler-kubr-yp-vla-163-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769287221405590-7464791729155453067-balancer-l7leveler-kubr-yp-vla-163-BAL&text=videoid:9224178825142425494","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik öğretmeninin 22 Şubat 2021 tarihinde Milli Eğitim Bakanlığı müfredatına uygun olarak oran ve orantı kavramlarını anlattığı bir eğitim içeriğidir. 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Yepyeni içerikler yolda, haberdar olmak...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/940099/16575d12aaafb76b8d686d3757c093a4/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/kjvxBgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"5","reqid":"1769287221405590-7464791729155453067-balancer-l7leveler-kubr-yp-vla-163-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769287221405590-7464791729155453067-balancer-l7leveler-kubr-yp-vla-163-BAL&text=videoid:6708661771804146477","teaser":[{"list":{"type":"unordered","items":["Bu video, bir öğretmen ve öğrenci arasında geçen matematik dersi formatındadır. Öğretmen, rasyonel sayıların ondalık gösterimi konusunu anlatmaktadır.","Video, rasyonel sayıların ondalık gösterimini adım adım açıklamaktadır. Öncelikle kesirli sayıların ondalık gösterimine nasıl dönüştürüleceği, ardından ondalık gösterimlerin rasyonel sayıya nasıl çevrileceği anlatılmaktadır. Son bölümde ise devirli ondalık açılımların nasıl yazılacağı detaylı bir kural ile açıklanmaktadır. Video boyunca öğretmen, konuyu pekiştirmek için çeşitli örnekler üzerinden işlem yapmaktadır."]},"endTime":465,"title":"Rasyonel Sayıların Ondalık Gösterimi Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Rasyonel Sayıların Ondalık Gösterimi","list":{"type":"unordered","items":["Rasyonel sayılar kesirli sayılar olarak düşünülebilir ve ondalık gösterimine çevrilebilir.","Ondalık gösterimde virgülden sonraki basamaklar onda birler, yüzde birler, binde birler şeklinde adlandırılır.","Rasyonel sayıları ondalık gösterime çevirmek için genişletme veya sadeleştirme işlemleri yapılabilir."]},"beginTime":14,"endTime":186,"href":"/video/preview/6708661771804146477?parent-reqid=1769287221405590-7464791729155453067-balancer-l7leveler-kubr-yp-vla-163-BAL&text=Calchick7&t=14&ask_summarization=1"},{"index":1,"title":"Ondalık Gösterimden Rasyonel Sayıya Çevirme","list":{"type":"unordered","items":["Ondalık gösterimi rasyonel sayıya çevirmek için sıfırın sağındaki ilk basamağa göre payda belirlenir (onda birler için 10, yüzde birler için 100).","Ondalık gösterimdeki sayı, virgülden sonraki basamak sayısına göre payda belirlenir ve pay olarak yazılır.","Tam sayı ve ondalık kısımlı sayılar için, tam sayı kısım payda ile çarpılıp ondalık kısım eklenerek rasyonel sayıya çevrilir."]},"beginTime":186,"endTime":286,"href":"/video/preview/6708661771804146477?parent-reqid=1769287221405590-7464791729155453067-balancer-l7leveler-kubr-yp-vla-163-BAL&text=Calchick7&t=186&ask_summarization=1"},{"index":2,"title":"Devirli Ondalık Açılımlar","list":{"type":"unordered","items":["Devirli ondalık açılımlar için bir kural uygulanır: tüm sayı eksi devirsiz kısmı bölü (virgülden sonra devirli kadar 9 ve devirsiz kadar 0).","Devirli ondalık açılımı rasyonel sayıya çevirirken, devirli kısmın basamak sayısı kadar 9, devirsiz kısmın basamak sayısı kadar 0 kullanılır.","Örnek olarak 0,525252... = 52/99, 0,123123... = 123/999 şeklinde 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Recipe ingredients: 1-1/2 Cups Warm Water 3 tsp. dry Yeast 4 cups All purpose Flour 1-1/2 tsp. salt 3 Tbsp. oil 2Tbsp. 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Öğretmen, Ali Bey ve Tonguç adlı öğrencilerle etkileşim halindedir.","Video, tam sayılarda toplama ve çıkarma işlemlerini kapsamlı şekilde ele almaktadır. İçerik, tam sayıların tanımı ve özellikleri ile başlayıp, işaretlerin aynı ve farklı olduğu durumlarda işlemlerin nasıl yapılacağını, işlem önceliğini, mutlak değer kavramını ve sayı doğrusu üzerinde gösterimleri örneklerle açıklamaktadır.","Videoda boncuk modelleme yöntemi gibi görsel örnekler kullanılmakta ve interaktif sorularla konu pekiştirilmektedir. Dersin sonunda öğrencilere sıfırdan sayısal, taktikli kitap ve dinamo matematikten test soruları ödev olarak verilmektedir."]},"endTime":1739,"title":"7. 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Eğitmenler, öğrencilere sorular sorarak dersi ilerletmektedir.","Video, rasyonel sayıların tanımı, özellikleri ve ondalık gösterimine dönüştürülmesi konularını kapsamlı şekilde ele almaktadır. İlk olarak rasyonel sayıların \"a/b\" şeklinde yazılan ifadeler olduğu ve payda 0 olamayacağı açıklanmakta, ardından pozitif ve negatif rasyonel sayılar, sayı doğrusunda gösterimi ve ondalık gösterimine dönüştürülmesi örneklerle anlatılmaktadır.","Videoda ayrıca sıfırın bir sayıya bölünmesi, paydası negatif tam sayı olabilen kesirler, basit kesir kavramı ve virgülün sağındaki basamakların adları gibi konular da işlenmektedir. Dersin sonunda öğretmen, öğrencilere çeşitli kitaplardan ödevler vermektedir."]},"endTime":1975,"title":"Rasyonel Sayılar Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Rasyonel Sayılar Konusuna Giriş","list":{"type":"unordered","items":["Rasyonel sayılar en önemli matematik konularından biridir.","Rasyonel sayılar, tam sayılar ve doğal sayılar gibi sayı kümelerinin bir parçasıdır.","Bu derste rasyonel sayıların tanımı, sayı doğrusunda gösterimi ve ondalık gösterimi öğreneceğiz."]},"beginTime":2,"endTime":101,"href":"/video/preview/1415700821601130589?parent-reqid=1769287221405590-7464791729155453067-balancer-l7leveler-kubr-yp-vla-163-BAL&text=Calchick7&t=2&ask_summarization=1"},{"index":1,"title":"Rasyonel Sayıların Tanımı","list":{"type":"unordered","items":["Rasyonel sayılar, a/b şeklinde yazılan ifadelerdir (örneğin 3/1, 5/7, 18/13).","Rasyonel sayılar Q sembolüyle gösterilir.","Rasyonel sayılarda payda (b) hiçbir zaman sıfır olamaz."]},"beginTime":101,"endTime":191,"href":"/video/preview/1415700821601130589?parent-reqid=1769287221405590-7464791729155453067-balancer-l7leveler-kubr-yp-vla-163-BAL&text=Calchick7&t=101&ask_summarization=1"},{"index":2,"title":"Rasyonel Sayıların Özellikleri","list":{"type":"unordered","items":["1,5, -1/3, 7 gibi sayılar rasyonel sayıdır çünkü a/b şeklinde yazılabilirler.","Her tam sayının altında görünmez bir 1 olduğu için her tam sayı bir rasyonel sayıdır.","Sayı doğrusunda sağ taraftaki rasyonel sayılara pozitif rasyonel sayılar, sol taraftaki rasyonel sayılara negatif rasyonel sayılar denir."]},"beginTime":191,"endTime":325,"href":"/video/preview/1415700821601130589?parent-reqid=1769287221405590-7464791729155453067-balancer-l7leveler-kubr-yp-vla-163-BAL&text=Calchick7&t=191&ask_summarization=1"},{"index":3,"title":"Sıfır ve Rasyonel Sayılar","list":{"type":"unordered","items":["Sıfır bir sayıya bölündüğünde sonuç sıfır olur, bu yutan eleman mantığına benzer.","Bir sayıyı 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bulunur."]},"beginTime":938,"endTime":1070,"href":"/video/preview/1415700821601130589?parent-reqid=1769287221405590-7464791729155453067-balancer-l7leveler-kubr-yp-vla-163-BAL&text=Calchick7&t=938&ask_summarization=1"},{"index":7,"title":"Sayı Doğrusu Sorusu","list":{"type":"unordered","items":["Dört ile beş arası sekiz eş parçaya bölünmüş bir sayı doğrusunda, 33/8, 17/4, 37/8 ve 21/4 sayıları incelenir.","33/8, 17/4, 37/8 sayıları dört ile beş arasındadır, ancak 21/4 (5 tam bir çeyrek) beş ile altı arasındadır.","Doğru cevap 21/4'tür ve bu soruyu Elif Sema Kızılkaya doğru cevaplamıştır."]},"beginTime":1070,"endTime":1194,"href":"/video/preview/1415700821601130589?parent-reqid=1769287221405590-7464791729155453067-balancer-l7leveler-kubr-yp-vla-163-BAL&text=Calchick7&t=1070&ask_summarization=1"},{"index":8,"title":"Rasyonel Sayıların Ondalık Gösterimi","list":{"type":"unordered","items":["Rasyonel sayıları paydayı on'un kuvvetleri yaparak (10, 100, 1000) ondalık olarak gösterebiliriz.","1/5, 2 ile genişletilerek 2/10 olur ve ondalık gösterimi 0,2'dir.","7/20, 5 ile genişletilerek 35/100 olur ve ondalık gösterimi 0,35'tir."]},"beginTime":1194,"endTime":1325,"href":"/video/preview/1415700821601130589?parent-reqid=1769287221405590-7464791729155453067-balancer-l7leveler-kubr-yp-vla-163-BAL&text=Calchick7&t=1194&ask_summarization=1"},{"index":9,"title":"Tam Sayı ve Ondalık Gösterim","list":{"type":"unordered","items":["2 tam 4/25, 4 ile genişletilerek 16/100 olur ve ondalık gösterimi 2,16'dır.","-375/8, 125 ile genişletilerek -375/1000 olur ve ondalık gösterimi -0,375'tir.","Ondalık gösterimde virgülün sağında, paydadaki sıfır sayısı kadar basamak olur."]},"beginTime":1325,"endTime":1455,"href":"/video/preview/1415700821601130589?parent-reqid=1769287221405590-7464791729155453067-balancer-l7leveler-kubr-yp-vla-163-BAL&text=Calchick7&t=1325&ask_summarization=1"},{"index":10,"title":"Ondalık Gösterim Sorusu","list":{"type":"unordered","items":["Fatma Hanım'ın manavdan aldığı meyvelerin kütleleri kilogram cinsinden verilmiş: 5/2 kg, 7/2 kg, 12/5 kg, 11/8 kg.","Soruda, tabloda verilen meyvelerin kütlelerinden birinin kilogram cinsinden ondalık gösterimi olamayacak olanı bulunması isteniyor.","5/2 kg = 2,5 kg, 7/2 kg = 3,5 kg, 12/5 kg = 2,4 kg, 11/8 kg = 1,25 kg olarak hesaplanıyor ve cevap 1,25 kg olarak bulunuyor."]},"beginTime":1458,"endTime":1630,"href":"/video/preview/1415700821601130589?parent-reqid=1769287221405590-7464791729155453067-balancer-l7leveler-kubr-yp-vla-163-BAL&text=Calchick7&t=1458&ask_summarization=1"},{"index":11,"title":"Rasyonel Sayılarla İlgili Beceri Temelli Soru","list":{"type":"unordered","items":["Bir rasyonel sayı olmak üzere, aşağı doğru ok a yuvarlak içerisinde a'dan küçük en büyük tam sayı, yukarı doğru ok yuvarlak a içerisinde a'dan büyük en küçük tam sayı anlamına geliyor.","(-11/3) sayı doğrusunda -4 ile -3 arasında bulunuyor ve bu sayıdan küçük en büyük tam sayı -4'tür.","11/5 sayı doğrusunda 2 ile 3 arasında bulunuyor ve bu sayıdan büyük en küçük tam sayı 3'tür.","(-4/3) sayı doğrusunda -1 ile -2 arasında bulunuyor ve bu sayıdan büyük en küçük tam sayı -1'dir."]},"beginTime":1630,"endTime":1903,"href":"/video/preview/1415700821601130589?parent-reqid=1769287221405590-7464791729155453067-balancer-l7leveler-kubr-yp-vla-163-BAL&text=Calchick7&t=1630&ask_summarization=1"},{"index":12,"title":"Ödevler","list":{"type":"unordered","items":["Öğrencilere rasyonel sayılar konusundan sayfa 24 ve 25'i yapmaları isteniyor.","Taktikli sayısal kitaptan test 5 ve test 5'i yapmaları gerekiyor.","Taktikle dinamodan test 13 ve test 14'ü, Zoru Bankası sayısaldan test 9 ve test 10'u yapmaları 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