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Öğretmen, her konuyu örneklerle açıklamakta ve tahtada veya dijital platformda matematiksel işlemler yaparak konuyu somutlaştırmaktadır.","Videoda ayrıca işaretlerin aynı veya zıt olması durumunda sonuçların nasıl belirleneceği, pozitif ve negatif tabanların kuvvetlerinin hesaplanması, çarpma işleminin özellikleri (değişme, birleşme, etkisiz eleman, yutan eleman ve dağılma özelliği) ve sayılar arasındaki toplam hesaplama teknikleri gibi konular ele alınmaktadır. Öğretmen, günlük hayattan örneklerle konuyu somutlaştırmakta ve öğrencilerin yorumlarda cevap verebileceği bonus sorular da sunmaktadır."]},"endTime":2228,"title":"Tam Sayılar ve Kuvvetler Matematik Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Tam Sayılarda Çarpma ve Bölme İşlemleri","list":{"type":"unordered","items":["Ders, tam sayılarda çarpma ve bölme işlemlerini içerecek.","Önceki derste tam sayılarda toplama ve çıkarma işlemlerini görmüştük.","Ders kapsamında tam sayılarda çarpma, bölme işlemleri, tam sayıların kuvvetleri ve çarpma işleminin özellikleri ele alınacak."]},"beginTime":0,"endTime":87,"href":"/video/preview/7152559937630905768?parent-reqid=1765303939893696-15097728736183255662-balancer-l7leveler-kubr-yp-vla-170-BAL&text=T%C3%A2m&t=0&ask_summarization=1"},{"index":1,"title":"Dersin Amacı ve Görevler","list":{"type":"unordered","items":["Öğrenciler Tonguç Kademi platformunda takım seçip görevleri tamamlayarak takımına puan kazandırabilir.","Görevler arasında kaynağın 16-19. sayfalarındaki çarpma ve bölme işlemleri, Dinamo Soru Bankası ve Zoru Bankası'ndaki LGS tadında sorular bulunuyor.","Dinamo testlerinin 4, 5 ve 6. testleri de görevler arasında yer alıyor."]},"beginTime":87,"endTime":216,"href":"/video/preview/7152559937630905768?parent-reqid=1765303939893696-15097728736183255662-balancer-l7leveler-kubr-yp-vla-170-BAL&text=T%C3%A2m&t=87&ask_summarization=1"},{"index":2,"title":"Çarpma ve Bölme İşlemlerinde İşaret Kuralları","list":{"type":"unordered","items":["Çarpma ve bölme işlemlerinde işlem öncelikleri dikkat edilmelidir.","İşaretler aynı ise (hem artı hem artı veya hem eksi hem eksi), sonuç artı olacaktır.","İşaretler zıt ise (artı ile eksi veya eksi ile artı), sonuç eksi olacaktır."]},"beginTime":216,"endTime":294,"href":"/video/preview/7152559937630905768?parent-reqid=1765303939893696-15097728736183255662-balancer-l7leveler-kubr-yp-vla-170-BAL&text=T%C3%A2m&t=216&ask_summarization=1"},{"index":3,"title":"Örnekler ve Eşleştirme Etkinliği","list":{"type":"unordered","items":["Artı işaretli sayıların çarpımı veya bölümü sonuçta artı işaretli olacaktır.","Zıt işaretli sayıların çarpımı veya bölümü sonuçta eksi işaretli olacaktır.","Eşleştirme etkinliğinde işaret kuralları uygulanarak işlemlerin sonuçları bulunuyor."]},"beginTime":294,"endTime":485,"href":"/video/preview/7152559937630905768?parent-reqid=1765303939893696-15097728736183255662-balancer-l7leveler-kubr-yp-vla-170-BAL&text=T%C3%A2m&t=294&ask_summarization=1"},{"index":4,"title":"Dikdörtgenlerdeki Sayılar Problemi","list":{"type":"unordered","items":["Soruda dikdörtgenlerin içindeki sayılardan, üstteki sayının değeri alttaki iki dikdörtgenin içindeki sayıların çarpımı olarak belirtilmiştir.","Mavi dikdörtgenlerin içindeki sayıların toplamı sorulmaktadır.","Çözüm sürecinde, zıt işaretli sayıların çarpımı eksi, aynı işaretli sayıların çarpımı artı olarak hesaplanmıştır."]},"beginTime":486,"endTime":610,"href":"/video/preview/7152559937630905768?parent-reqid=1765303939893696-15097728736183255662-balancer-l7leveler-kubr-yp-vla-170-BAL&text=T%C3%A2m&t=486&ask_summarization=1"},{"index":5,"title":"Büyük Sayılarla Çarpma İşlemi","list":{"type":"unordered","items":["Eksi 118 ile artı 48 çarpımı eksi 5584 sonucuna ulaşmıştır.","Mavi dikdörtgenlerdeki sayıların toplamı eksi 5584 ile artı 12 toplamı olarak hesaplanmıştır.","Sonuç olarak mavi dikdörtgenlerdeki sayıların toplamı eksi 5572 olarak bulunmuştur."]},"beginTime":610,"endTime":726,"href":"/video/preview/7152559937630905768?parent-reqid=1765303939893696-15097728736183255662-balancer-l7leveler-kubr-yp-vla-170-BAL&text=T%C3%A2m&t=610&ask_summarization=1"},{"index":6,"title":"İşlem Önceliği","list":{"type":"unordered","items":["Matematikte işlem önceliği önemlidir; önce üslü ifadeler, sonra parantezli işlemler, ardından çarpma-bölme ve en son toplama-çıkarma yapılır.","Çarpma ve bölme işlemleri toplama ve çıkarma işlemlerinden önceliklidir.","Çarpma ve bölme işlemleri için sayıları köşeli parantez içinde almak işlemi kolaylaştırır."]},"beginTime":726,"endTime":861,"href":"/video/preview/7152559937630905768?parent-reqid=1765303939893696-15097728736183255662-balancer-l7leveler-kubr-yp-vla-170-BAL&text=T%C3%A2m&t=726&ask_summarization=1"},{"index":7,"title":"İşlem Önceliği Örneği","list":{"type":"unordered","items":["İşlem önceliği ihmal edildiğinde yanlış sonuçlar elde edilir.","Doğru çözüm için önce çarpma işlemleri yapılır, sonra toplama ve çıkarma işlemleri yapılır.","İşlem önceliğine dikkat etmek sınavlarda özellikle önemlidir."]},"beginTime":861,"endTime":996,"href":"/video/preview/7152559937630905768?parent-reqid=1765303939893696-15097728736183255662-balancer-l7leveler-kubr-yp-vla-170-BAL&text=T%C3%A2m&t=861&ask_summarization=1"},{"index":8,"title":"Üslü İfadelerin Temel Kavramları","list":{"type":"unordered","items":["Beşinci sınıfta üslü ifadeleri öğrenmiş, 5²'yi \"beşin karesi\" ve 4³'ü \"dördün küpü\" olarak tanımlamıştık.","Altıncı sınıfta daha büyük sayılarla çalışmayı öğrendik, örneğin 2⁶=64 ve 3⁴=81.","Bir sayının sıfırıncı kuvveti her zaman 1'e eşittir, sıfırın bütün kuvvetleri sıfırdır ve birin bütün kuvvetleri bir'e eşittir."]},"beginTime":999,"endTime":1112,"href":"/video/preview/7152559937630905768?parent-reqid=1765303939893696-15097728736183255662-balancer-l7leveler-kubr-yp-vla-170-BAL&text=T%C3%A2m&t=999&ask_summarization=1"},{"index":9,"title":"Tam Sayıların Kuvvetleri","list":{"type":"unordered","items":["Taban pozitif olduğunda, üslü ifadelerin değerini hesaplamak için beşinci ve altıncı sınıfta öğrendiğimiz bilgileri kullanırız.","Taban negatif olduğunda, üst çift sayı ise sonuç pozitif, üst tek sayı ise sonuç negatif olur.","Bu kuralı anlatmak için düğün örneği kullanılmış: çift sayıda kişi geldiğinde herkes mutlu olur (pozitif sonuç), tek sayıda kişi geldiğinde biri yalnız kalır ve herkes mutsuz olur (negatif sonuç)."]},"beginTime":1112,"endTime":1372,"href":"/video/preview/7152559937630905768?parent-reqid=1765303939893696-15097728736183255662-balancer-l7leveler-kubr-yp-vla-170-BAL&text=T%C3%A2m&t=1112&ask_summarization=1"},{"index":10,"title":"Parantez Kullanımı ve Uygulamalar","list":{"type":"unordered","items":["Eksi beşin iki kuvveti gibi ifadelerde parantez yoksa, çift kuvvet olsa bile sonuç eksi olur.","(-2)⁴=16 örneğinde, kuvvet çift olduğu için sonuç pozitif olur.","(-3)²=9 örneğinde, çift kuvvet olduğu için sonuç artı olur, (-2)⁵=-32 örneğinde ise tek kuvvet olduğu için sonuç eksi olur."]},"beginTime":1372,"endTime":1540,"href":"/video/preview/7152559937630905768?parent-reqid=1765303939893696-15097728736183255662-balancer-l7leveler-kubr-yp-vla-170-BAL&text=T%C3%A2m&t=1372&ask_summarization=1"},{"index":11,"title":"Matematik Problemleri Çözümü","list":{"type":"unordered","items":["Negatif tabanlı kuvvetlerin hesaplanması gösteriliyor: (-2)⁴ çift kuvvet olduğu için +16, (-3)³ tek kuvvet olduğu için -27 sonucuna ulaşılıyor.","İki ifadenin toplamı hesaplanıyor: (-16) + (-27) = -11 olarak bulunuyor.","B ifadesi için (-1)⁵ + (-1)²⁰³ + (-1)¹⁵⁶ hesaplanıyor ve sonuç -3 olarak bulunuyor."]},"beginTime":1540,"endTime":1646,"href":"/video/preview/7152559937630905768?parent-reqid=1765303939893696-15097728736183255662-balancer-l7leveler-kubr-yp-vla-170-BAL&text=T%C3%A2m&t=1540&ask_summarization=1"},{"index":12,"title":"A ve B Değerlerinin Toplanması","list":{"type":"unordered","items":["A (-11) ve B (-3) değerlerinin toplamı hesaplanıyor ve sonuç -14 olarak bulunuyor.","Bir başka soruda, -2³ \u003c a \u003c 3² aralığında a'nın kaç farklı tam sayı değeri olabileceğine bakılıyor.","Aralıktaki tam sayılar (-7, -6, -5, -4, -3, -2, -1, 1, 2, 3, 4, 5, 6, 7, 8) toplam 15 farklı değer olarak bulunuyor."]},"beginTime":1646,"endTime":1813,"href":"/video/preview/7152559937630905768?parent-reqid=1765303939893696-15097728736183255662-balancer-l7leveler-kubr-yp-vla-170-BAL&text=T%C3%A2m&t=1646&ask_summarization=1"},{"index":13,"title":"Çarpma İşleminin Özellikleri","list":{"type":"unordered","items":["Çarpma işleminin değişme özelliği: 4 × (-3) = (-3) × 4 = -12 olarak gösteriliyor.","Birleşme özelliği: [(3 × (-5)) × (-2)] = [(-15) × (-2)] = 30 ve [(3 × (-2)) × (-5)] = [(-6) × (-5)] = 30 olarak hesaplanıyor.","Çarpma işleminde etkisiz eleman 1, yutan eleman 0 olarak belirtiliyor."]},"beginTime":1813,"endTime":1931,"href":"/video/preview/7152559937630905768?parent-reqid=1765303939893696-15097728736183255662-balancer-l7leveler-kubr-yp-vla-170-BAL&text=T%C3%A2m&t=1813&ask_summarization=1"},{"index":14,"title":"Dağılma Özelliği ve Uygulaması","list":{"type":"unordered","items":["Dağılma özelliği: (-3) × (4 + (-2)) = (-3) × 4 + (-3) × (-2) = -12 + 6 = -6 olarak gösteriliyor.","Bir soruda, toplama işleminin değişme özelliği ve dağılma özelliği kullanılarak işlem çözülüyor.","Üçgen + Kare × Yuvarlak işleminin sonucu -1 olarak bulunuyor."]},"beginTime":1931,"endTime":2074,"href":"/video/preview/7152559937630905768?parent-reqid=1765303939893696-15097728736183255662-balancer-l7leveler-kubr-yp-vla-170-BAL&text=T%C3%A2m&t=1931&ask_summarization=1"},{"index":15,"title":"Negatif ve Pozitif Sayıların Toplanması","list":{"type":"unordered","items":["Eksi onüç ile artı on arasındaki tüm sayıların toplamı sorusunda, uzun uzun yazmak yerine kısaca çözüm yapılabilir.","Negatif ve pozitif aynı sayılar birbirini götürdüğü için (örneğin -1 ile +1, -2 ile +2) toplamda etkisiz kalırlar.","Sadece açıkta kalan sayılar toplanır, bu örnekte -13, -12 ve -11 açıkta kalır ve toplamları 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Öğretmen, Tonguç adında bir karakterle birlikte dersi anlatmakta ve Nisa, Mert Kemal, Süreyya Numan, Aysima Emir, Büşra Fatma Türkoğlu gibi öğrencilerle etkileşim halindedir.","Video, 7. sınıf matematikteki tam sayılarla toplama ve çıkarma işlemlerini kapsamlı şekilde ele almaktadır. İçerik, günlük hayattan örneklerle başlayıp, işaretli sayıların toplama ve çıkarma işlemlerini, sayı doğrusu üzerinde işlemlerini, toplama işleminin özellikleri (değişme, birleşme, etkisiz eleman) ve ters eleman kavramını içermektedir.","Videoda \"halat çekme yarışması\" ve \"dost-düşman\" ilişkisi gibi benzetmeler kullanılarak konu anlatılmakta, öğrencilerin soruları yanıtlanmakta ve LGS hazırlığı için temel matematik konuları işlenmektedir. Ayrıca, toplama işleminin özellikleri ve dengesizlik durumlarının çözümü gibi pratik uygulamalar da gösterilmektedir."]},"endTime":2309,"title":"7. Sınıf Matematik: Tam Sayılarla Toplama ve Çıkarma","beginTime":0}],"fullResult":[{"index":0,"title":"7. 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