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2.sezon başladı!🎉 Sezon boyunca; canlı yayınlar, konu anlatımları, soru çözümleri ve rehberlik videolarıyla, tonguç yanında! 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İlk olarak tam sayıların günlük hayattaki örnekleri (hava sıcaklığı, uçağın yüksekliği, borç-alacak durumları, deniz seviyesi) üzerinden açıklanmakta, ardından doğal sayılar ve tam sayıların özellikleri anlatılmaktadır. Daha sonra tam sayıların sayı doğrusu üzerinde gösterilmesi, sıralanması, karşılaştırılması ve mutlak değer kavramı örneklerle açıklanmaktadır.","Ders boyunca Milli Eğitim Bakanlığı'nın öğrenme çıktıları (tam sayıları tanıma, sayı doğrusunda gösterme, karşılaştırma ve mutlak değer belirleme) belirtilmekte, öğrencilerin yapması gereken testler ve ödevler verilmektedir. Video, erkeklerin 9-5 öne geçtiği bir erkek-kız müsabakası sonucu sona ermektedir."]},"endTime":2256,"title":"6. Sınıf Matematik Dersi: Tam Sayılar","beginTime":0}],"fullResult":[{"index":0,"title":"Tam Sayılar Konusuna Giriş","list":{"type":"unordered","items":["Tam sayılar konusu baştan sona anlatılacak ve günlük hayatta hava sıcaklığı gibi örneklerle açıklanacak.","Tam sayılar, artı ve eksi sayıları içeren pozitif ve negatif sayıları ifade eder.","Öğrenme çıktıları arasında tam sayıları tanımak, sayı doğrusunda göstermek, karşılaştırmak ve mutlak değerini belirlemek bulunmaktadır."]},"beginTime":0,"endTime":113,"href":"/video/preview/12934621190258046797?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=0&ask_summarization=1"},{"index":1,"title":"Ödevler ve Meydan Okuma","list":{"type":"unordered","items":["Öğrencilere \"Tüm Dersler\" kitabından Test 7, Dinamo Plus soru bankasından Test 18-20 ve Matematik'ten Test 10 testi ödev olarak verilmiştir.","Dersin sonunda meydan okuma yapılacak ve ödevlerini tamamlayan öğrencilere iPhone 6 testi kazanılacaktır.","Her sezonda dört iPhone 6 testi verilmektedir."]},"beginTime":113,"endTime":198,"href":"/video/preview/12934621190258046797?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=113&ask_summarization=1"},{"index":2,"title":"Rakamlar ve Sayılar","list":{"type":"unordered","items":["Rakamlar 0, 1, 2, 3, 4, 5, 6, 8, 9 olmak üzere toplam on tane vardır.","Sayılar rakamlardan oluşur, örneğin 256 sayısı içinde 2, 5 ve 6 rakamlarından oluşur.","Rakamlarla sonsuz sayıda sayı oluşturulabilir, örneğin 1203 veya 564.287.000 gibi."]},"beginTime":198,"endTime":292,"href":"/video/preview/12934621190258046797?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=198&ask_summarization=1"},{"index":3,"title":"Doğal Sayılar ve Rakamlar","list":{"type":"unordered","items":["Doğal sayılar sıfırdan başlayıp bir, iki, üç, dört şeklinde sonsuza kadar devam eden sayılardır.","Rakamlar ise 0'dan 9'a kadar olan sayılardır ve sayılarla farklıdır.","Sayı doğrusunda doğal sayılar sağa doğru giderken, negatif sayılar da sola doğru gider."]},"beginTime":297,"endTime":354,"href":"/video/preview/12934621190258046797?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=297&ask_summarization=1"},{"index":4,"title":"Tam Sayıların Tanımlanması","list":{"type":"unordered","items":["Tam sayılar, pozitif ve negatif sayıları içeren bir sayı kümesidir.","Pozitif tam sayılar, sıfırdan sağa doğru giden sayılardır ve önüne işareti yazmaya gerek yoktur.","Negatif tam sayılar, sıfırdan sola doğru giden sayılardır ve önüne eksi işareti yazmak gerekir."]},"beginTime":354,"endTime":354,"href":"/video/preview/12934621190258046797?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=354&ask_summarization=1"},{"index":5,"title":"Pozitif ve Negatif Tam Sayılar","list":{"type":"unordered","items":["Pozitif tam sayılar Z+ ile, negatif tam sayılar Z- ile gösterilir.","Bir sayının başında artı işareti yoksa, görünmez bir artı işareti vardır.","Bir soruda verilen sayılardan kaç tanesi pozitif tam sayı olduğu sorulduğunda, cevap 3'tür."]},"beginTime":634,"endTime":710,"href":"/video/preview/12934621190258046797?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=634&ask_summarization=1"},{"index":6,"title":"Tam Sayılar Arasındaki Sayılar","list":{"type":"unordered","items":["Eksi beş ile artı dört arasında kaç tane tam sayı var sorusuna cevap olarak sayı doğrusu çizilerek eksi bir, eksi iki, eksi üç, eksi dört, eksi beş, eksi altı, eksi yedi, eksi sekiz sayıları sayılır ve cevap sekiz bulunur.","Eksi üç'ten artı beş'e kadar kaç tane tam sayı var sorusuna cevap olarak sayı doğrusu çizilerek eksi üç, eksi iki, eksi bir, sıfır, bir, iki, üç, dört, beş sayıları sayılır ve cevap dokuz bulunur.","\"Bilmem neye kadar\" derse verilen sayılar dahil edilirken, \"bilmem neyle bilmem ne arası\" derse verilen sayılar dahil edilmez."]},"beginTime":735,"endTime":891,"href":"/video/preview/12934621190258046797?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=735&ask_summarization=1"},{"index":7,"title":"Tam Sayı Sıralama Kuralları","list":{"type":"unordered","items":["Pozitif tam sayılar negatif tam sayıdan büyüktür, bu kural her zaman geçerlidir.","Sayı doğrusunda sağdaki sayı her zaman daha büyüktür, sayılar sağa doğru gittikçe büyür, sola doğru gittikçe küçülür.","Sıfıra yakın olan negatif tam sayı daha büyüktür, iki negatif tam sayıyı karşılaştırırken sağdaki sayı daha büyüktür."]},"beginTime":891,"endTime":1073,"href":"/video/preview/12934621190258046797?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=891&ask_summarization=1"},{"index":8,"title":"Tam Sayılarla İlgili Sorular","list":{"type":"unordered","items":["En büyük negatif tam sayı eksi bir'dir.","İki basamaklı en büyük tam sayı doksan dokuz'dur, en küçük tam sayı eksi doksan dokuz'dur.","İki basamaklı en büyük negatif tam sayı eksi on'dur.","Eksi dört'ten küçük en büyük tam sayı eksi beş'tir."]},"beginTime":1073,"endTime":1277,"href":"/video/preview/12934621190258046797?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=1073&ask_summarization=1"},{"index":9,"title":"Sayı Doğrusu Problemi","list":{"type":"unordered","items":["İki kişi (Selma ve Yeliz) akıllarından tam sayılar tutmuş ve bu sayılar arasında en fazla kaç tam sayı olduğunu bulmak gerekiyor.","Yeliz'in aklından tuttuğu sayı eksi altıdan küçüktür ve yediden küçüktür.","Sayı doğrusu üzerinde en uç noktaları seçerek aralarında on tane tam sayı olduğu bulunuyor."]},"beginTime":1281,"endTime":1450,"href":"/video/preview/12934621190258046797?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=1281&ask_summarization=1"},{"index":10,"title":"Mutlak Değer Kavramı","list":{"type":"unordered","items":["Mutlak değer, bir sayının etrafına çizgiler çizilerek negatif değerinden kurtulup pozitif olarak dışarı çıkması anlamına geliyor.","Mutlak değer her zaman pozitif çıkıyor çünkü negatif olamaz, sayının sıfıra olan uzaklığına eşittir.","Örneğin, eksi üçün mutlak değeri üç, eksi iki'nin mutlak değeri iki, eksi bir'in mutlak değeri bir, üçün mutlak değeri üç olarak hesaplanır."]},"beginTime":1450,"endTime":1575,"href":"/video/preview/12934621190258046797?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=1450&ask_summarization=1"},{"index":11,"title":"Mutlak Değer Problemleri","list":{"type":"unordered","items":["Eksi beşin mutlak değeri beş, eksi üçün mutlak değeri üç, üçün mutlak değeri üç, eksi yedi'nin mutlak değeri yedi, artı yedi'nin mutlak değeri yedi, eksi dokuzun mutlak değeri dokuz olarak hesaplanır.","Verilen sayılar küçükten büyüğe sıralandığında ortada kalan sayı iki olarak bulunuyor.","Erkek-kız müsabakasında eşitlik sağlanıyor."]},"beginTime":1575,"endTime":1848,"href":"/video/preview/12934621190258046797?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=1575&ask_summarization=1"},{"index":12,"title":"Tam Sayılarla İlgili Soru Çözümü","list":{"type":"unordered","items":["Yıldızın en büyük değeri eksi onbeş olarak belirlenmiştir.","Üçgenin alabileceği tam sayıların sayısı onsekiz olarak hesaplanmıştır.","Anıl Çakal doğru cevabı vererek İngilizce erkekler-kızlar müsabakasında yedi-altı skoruyla öne geçmiştir."]},"beginTime":1851,"endTime":1964,"href":"/video/preview/12934621190258046797?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=1851&ask_summarization=1"},{"index":13,"title":"Şampiyon Paket Tanıtımı","list":{"type":"unordered","items":["Şampiyon pakette altıncı sınıfın tüm kitapları bulunmaktadır.","Şampiyon paket diğer kitaplara göre daha avantajlıdır."]},"beginTime":1964,"endTime":1984,"href":"/video/preview/12934621190258046797?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=1964&ask_summarization=1"},{"index":14,"title":"Son Soru ve Çözüm","list":{"type":"unordered","items":["Serkan bir sayı söylerken, Tuğçe Serkan'ın söylediği sayının yedi birim uzağında bir sayı söyler.","Serkan eksi iki sayısını söylediğinde, Tuğçe'nin söyleyebileceği sayılar beş ve eksi dokuzdur.","Player One KD doğru cevabı vererek erkekler-kızlar müsabakasında dokuz-altı skorla öne geçmiştir."]},"beginTime":1984,"endTime":2115,"href":"/video/preview/12934621190258046797?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=1984&ask_summarization=1"},{"index":15,"title":"Dersin Sonu ve Ödevler","list":{"type":"unordered","items":["Dersin sonunda meydan okuma testi ve ödevler bulunmaktadır.","Öğrenciler \"Benim Tam Sayılarla Alakalı Test\" 17'den başlayıp 20'ye kadar olan soruları çözmelidir.","Tüm dersler kitabı olan öğrenciler için \"Tüm Derslerden Tam Sayılarla Alakalı Test 12\" yapılmalıdır."]},"beginTime":2115,"endTime":2243,"href":"/video/preview/12934621190258046797?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=2115&ask_summarization=1"}],"linkTemplate":"/video/preview/12934621190258046797?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Tam Sayılar 6. 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Öğretmen, pozitif ve negatif tam sayıları, mutlak değer kavramını, toplama işleminin değişme, birleşme özellikleri, etkisiz eleman ve ters eleman kavramlarını sayı doğrusu üzerinde ve günlük hayattan örneklerle açıklamaktadır. Ders boyunca öğrencilerle etkileşimli bir şekilde sorular çözülmekte ve erkek-kız öğrenciler arasında bir yarışma formatı kullanılmaktadır.","Videoda ayrıca parantez içi işlemler, sayma pulları kullanarak işaretli sayıların modellemesi, hava sıcaklığı hesaplamaları ve kredi kartı borçları gibi günlük hayattan örnekler de bulunmaktadır. Video, Tonguç Kademi platformunda tam sayılarla toplama ve çıkarma konusunda canlı test yapılması önerisiyle sonlanmaktadır."]},"endTime":3348,"title":"7. Sınıf Matematik Dersi: Tam Sayılar ve İşlemleri","beginTime":0}],"fullResult":[{"index":0,"title":"7. 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Modelleme","list":{"type":"unordered","items":["Sayma pulları kullanılarak eksi beş ve eksi üç sayıları toplandığında, toplam eksi sekiz olarak bulunur.","Artı ile eksi birleştiğinde sıfır olur ve kalan işaret sonucu belirler.","Eksi altı ve eksi dört sayıları çıkarıldığında, eksi dört çıkarıldığında eksi iki sonucu elde edilir."]},"beginTime":797,"endTime":976,"href":"/video/preview/16382286544717052225?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=797&ask_summarization=1"},{"index":8,"title":"Sayı Doğrusunda Toplama ve Çıkarma İşlemleri","list":{"type":"unordered","items":["Sayı doğrusunda artı değerler sağa, eksi değerler sola doğru gösterilir.","Toplama işlemi yaparken, sıfırdan başlayıp artı değerlerle sağa, eksi değerlerle sola gidilir.","Çıkarma işlemi yaparken, toplama işlemine benzer şekilde başlanır ancak eksi değerlerle ters yönde gidilir."]},"beginTime":978,"endTime":1097,"href":"/video/preview/16382286544717052225?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=978&ask_summarization=1"},{"index":9,"title":"Sayı Doğrusunda Özel Durumlar","list":{"type":"unordered","items":["Artı dört eksi dört işleminin sonucu sıfırdır çünkü düşman sayılar birbirini götürür.","Eksi üç eksi üç işleminin sonucu da sıfırdır çünkü düşman sayılar birbirini götürür.","Çıkarma işlemi yaparken, eksi değerlerle ters yönde gidilir ve sonuç pozitif olur."]},"beginTime":1097,"endTime":1218,"href":"/video/preview/16382286544717052225?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=1097&ask_summarization=1"},{"index":10,"title":"Öğrenme Atlası ve Ödevler","list":{"type":"unordered","items":["Matematik öğrenme atlasında her dersin adı ve soru sayısı belirtilmiştir.","Öğrencilerden tam sayı toplama çıkarma konusundan 70 soru çözmeleri beklenmektedir.","Sonraki dersler çarpma bölme, problemli sayılar ve rasyonel sayılar olacak."]},"beginTime":1218,"endTime":1350,"href":"/video/preview/16382286544717052225?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=1218&ask_summarization=1"},{"index":11,"title":"Matematik Özellikleri","list":{"type":"unordered","items":["Değişme özelliği: Toplama işleminde toplananların yerleri değiştirildiğinde sonuç değişmez.","Birleşme özelliği: Toplama işleminde toplama işlemi içindeki terimlerin sırası değiştirildiğinde sonuç değişmez.","Etkisiz eleman: Toplama işleminde etkisiz eleman sıfırdır, herhangi bir sayı ile sıfır toplandığında o sayı çıkar.","Ters eleman: Bir sayının toplama işlemine göre tersi, o sayının işaretinin tersidir ve toplandığında etkisiz eleman olan sıfır elde edilir."]},"beginTime":1350,"endTime":1441,"href":"/video/preview/16382286544717052225?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=1350&ask_summarization=1"},{"index":12,"title":"Toplama İşleminin Özellikleri","list":{"type":"unordered","items":["Toplama işleminde değişme özelliği vardır, yani sayıların yer değiştirilmesi sonucu değiştirmez.","Birleşme özelliği, toplama işlemi yaparken sayıların farklı şekilde gruplandırılabilmesidir ve sonuç aynı çıkar.","Tam sayılarda toplamada etkisiz eleman sıfırdır ve bir sayının toplama işlemine göre tersi, toplamları sıfır olan 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Önce aynı işaretli ve zıt işaretli tam sayıların toplanması, ardından çıkarma işleminin toplama işlemine dönüştürülmesi, toplama işleminin özellikleri (değişme, etkisiz eleman, birleşme ve ters eleman) ve negatif sayıların sayı doğrusundaki gösterimi gibi konular örneklerle açıklanmaktadır.","Videoda günlük hayattan örnekler, eğlenceli benzetmeler ve zorlu sorular (kek soru, kazık soru) kullanılarak konu pekiştirilmektedir. Dersin sonunda eğitmen, gelecek derslerde tam sayılarla ilgili çarpma-bölme işlemleri, yeni nesil sorular ve LGS hazırlığı için soru çözümleri yapacağını belirtmektedir."]},"endTime":2170,"title":"7. 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dersler ve çalışmalar için alanlar bulunuyor.","Planlama yapmanın öneminden bahsediliyor ve LGS taktikleri hakkında bilgi veriliyor."]},"beginTime":120,"endTime":250,"href":"/video/preview/10293978929535671234?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=120&ask_summarization=1"},{"index":2,"title":"Tam Sayılarda Toplama İşlemi","list":{"type":"unordered","items":["Toplama işlemi, aynı işaretli sayılarda sayıların bir araya gelmesi anlamına gelir.","Zıt işaretli sayılarda toplama işlemi, artı ve eksi işaretli sayıların birbirini yuttuğu şekilde anlatılıyor.","Zıt işaretli sayılarda toplama işleminde fazla kalan işaret ve sayı, sonucu belirler."]},"beginTime":250,"endTime":525,"href":"/video/preview/10293978929535671234?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=250&ask_summarization=1"},{"index":3,"title":"Çıkarma İşlemi","list":{"type":"unordered","items":["Çıkarma işlemi aslında yoktur, bunun yerine toplama işlemi kullanılır.","Çıkarma işleminin toplama işlemine dönüştürülmesi anlatılacak."]},"beginTime":525,"endTime":549,"href":"/video/preview/10293978929535671234?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=525&ask_summarization=1"},{"index":4,"title":"Tam Sayılarda Çıkarma İşlemi","list":{"type":"unordered","items":["Çıkarma işlemi, eksilen sayı ile çıkan sayının ters işaretlisini toplamaktır.","Çıkarma işlemi aslında toplama işlemine dönüştürülebilir.","Eksilen sayı çıkarma işleminde ilk sayıdır, çıkan sayı ise ikinci sayıdır."]},"beginTime":552,"endTime":596,"href":"/video/preview/10293978929535671234?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=552&ask_summarization=1"},{"index":5,"title":"Çıkarma İşleminin Toplama İşlemine Dönüştürülmesi","list":{"type":"unordered","items":["Çıkarma işlemi, eksilen sayı ile çıkan sayının ters işaretlisinin toplamına eşittir.","Örneğin, 4 - (-5) işleminde, 4 ile 5'ın toplamı 9'dur.","Çıkarma işlemi, toplama işlemine dönüştürüldüğünde daha kolay hesaplanabilir."]},"beginTime":596,"endTime":728,"href":"/video/preview/10293978929535671234?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=596&ask_summarization=1"},{"index":6,"title":"İşaret İşlemleri","list":{"type":"unordered","items":["Eksi ile eksi yan yana geldiğinde, pozitif (artı) işaretine dönüşür.","Eksi ile artı yan yana geldiğinde, yer değiştirme hakkımız vardır.","Çıkarma işlemi, toplama işlemine dönüştürüldüğünde, pozitif ve negatif sayıların toplamı hesaplanır."]},"beginTime":728,"endTime":840,"href":"/video/preview/10293978929535671234?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=728&ask_summarization=1"},{"index":7,"title":"Zorlu İşlem Örnekleri","list":{"type":"unordered","items":["Küçük sayıdan büyük sayı çıkarılabilir, her sayıdan her sayı çıkarılabilir.","İşaret işlemleri, pozitif ve negatif sayıların toplamını belirler.","Eksi ile artı yan yana geldiğinde yer değiştirme, eksi ile eksi yan yana geldiğinde ise pozitif işaret elde edilir."]},"beginTime":840,"endTime":1048,"href":"/video/preview/10293978929535671234?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=840&ask_summarization=1"},{"index":8,"title":"Çıkarma İşleminin Toplama İşlemine Dönüştürülmesi","list":{"type":"unordered","items":["Çıkarma işlemi yer değiştirilerek toplama işlemine dönüştürülebilir.","Eksi ile eksi yan yana geldiğinde ikisi de artıya dönüşür.","Tam sayılar toplanırken, pozitif ve negatif sayılar birbirini götürür ve kalan sonuç bulunur."]},"beginTime":1052,"endTime":1128,"href":"/video/preview/10293978929535671234?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=1052&ask_summarization=1"},{"index":9,"title":"Tam Sayıların Toplamı Sorusu","list":{"type":"unordered","items":["Eksi yedi'den artı sekiz'e kadar olan tam sayıların toplamı sorulduğunda, pozitif ve negatif sayılar birbirini götürür.","Sıfır etkisiz eleman olduğu için toplamda etkisiz kalır.","Sonuçta sadece artı sekiz kalır."]},"beginTime":1128,"endTime":1236,"href":"/video/preview/10293978929535671234?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=1128&ask_summarization=1"},{"index":10,"title":"Toplama İşleminin Özellikleri","list":{"type":"unordered","items":["Toplama işleminin dört özelliği vardır: değişme, etkisiz eleman, birleşme ve ters eleman.","Değişme özelliği: toplama işleminde sayıların yer değiştirilmesi sonucu değiştirmez.","Etkisiz eleman: sıfır, herhangi bir sayı ile toplandığında etkisiz kalır.","Birleşme özelliği: toplama işleminde parantezlerin yer değiştirilmesi sonucu değiştirmez.","Ters eleman: bir sayının tersi, onun işaretinin tersidir (örneğin, eksi beş'in tersi artı beş'tir)."]},"beginTime":1236,"endTime":1348,"href":"/video/preview/10293978929535671234?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=1236&ask_summarization=1"},{"index":11,"title":"Toplama İşleminin Tersi","list":{"type":"unordered","items":["Eksi onyedi tam sayısının toplama işlemine göre tersi artı onyedidir.","Artı yirmibir tam sayısının toplama işlemine göre tersi eksi yirmibirdir.","Artı onyedi ile eksi yirmibir'in toplamı eksi dört'tür."]},"beginTime":1348,"endTime":1414,"href":"/video/preview/10293978929535671234?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=1348&ask_summarization=1"},{"index":12,"title":"Üç Basamaklı Sayılar Sorusu","list":{"type":"unordered","items":["Üç basamaklı en küçük tam sayı ile üç basamaklı en büyük tam sayının toplamı sorulmaktadır.","Bu tür sorular \"kek-kazık arası\" veya \"ciddiyet isteyen kazık soru\" olarak nitelendirilmektedir."]},"beginTime":1414,"endTime":1447,"href":"/video/preview/10293978929535671234?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=1414&ask_summarization=1"},{"index":13,"title":"Üç Basamaklı Sayılar","list":{"type":"unordered","items":["Üç basamaklı en küçük tam sayı eksi 999'dur, çünkü negatif sayılarda en küçük değer budur.","Üç basamaklı en büyük tam sayı artı 999'dur.","Üç basamaklı negatif en büyük sayı eksi 100'dür, çünkü negatiflerde sayılar büyüdükçe değer küçülür."]},"beginTime":1449,"endTime":1543,"href":"/video/preview/10293978929535671234?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=1449&ask_summarization=1"},{"index":14,"title":"Sayı Doğrusu İşlemleri","list":{"type":"unordered","items":["Sayı doğrusunda işlemler sıfırdan başlar ve eksi işaretli sayılar sola, artı işaretli sayılar sağa doğru gösterilir.","Toplama işlemi yapılırken, eksi işaretli sayılar sola, artı işaretli sayılar sağa doğru ilerlenir.","Sayı doğrusunda eksili bir sayı doğrusu gösterimi olmaz, önce artıya çevrilip sonra işlemler yapılır."]},"beginTime":1543,"endTime":1683,"href":"/video/preview/10293978929535671234?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=1543&ask_summarization=1"},{"index":15,"title":"Toplama İşlemine Göre Tersi","list":{"type":"unordered","items":["Toplama işlemine göre tersi en büyük sayı, negatif bir sayı olup tersi pozitif olur.","Toplama işlemine göre tersi en küçük sayı, pozitif bir sayı olup tersi negatif olur.","İki sayının arasındaki farkı bulmak için çıkarma işlemi yapılır, ancak işaretler dikkatli incelenmelidir."]},"beginTime":1683,"endTime":1798,"href":"/video/preview/10293978929535671234?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=1683&ask_summarization=1"},{"index":16,"title":"Matematik Probleminin Çözümü","list":{"type":"unordered","items":["Dersin son sorusunda dört üçgen ve bir kare içeren bir şekil verilmiş, her üçgenin ve karenin köşelerindeki tam sayıların toplamlarının birbirine eşit olduğu belirtilmiştir.","Problemin çözümünde önce belli olan üçgenin köşelerindeki sayıların toplamı (-3+1+(-5)=-7) bulunmuş ve bu toplamın diğer üçgenlerde de aynı olması gerektiği belirtilmiştir.","A, B ve C değerleri hesaplanarak A=-7, B=5, C=1 bulunmuş ve A+B+C toplamı -1 olarak hesaplanmıştır."]},"beginTime":1805,"endTime":1975,"href":"/video/preview/10293978929535671234?parent-reqid=1765585907620678-15663459646727857362-balancer-l7leveler-kubr-yp-vla-114-BAL&text=TAM.+%D0%A1%D0%B0%D0%BC%D0%BE%D1%80%D0%B0%D0%B7%D0%B2%D0%B8%D1%82%D0%B8%D0%B5.&t=1805&ask_summarization=1"},{"index":17,"title":"Dersin Sonrası ve Öneriler","list":{"type":"unordered","items":["Dersin sonunda tam sayılarda çarpma, bölme ve problem çözme konularında yeni bir ders yapılacağı belirtilmiştir.","Öğrencilere abone 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