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Eğitmen, öğrencilere kuvvet ve ağırlık ilişkisini anlatmaktadır.","Video, ağırlık kavramının ne olduğunu ve farklı gezegenlerde ağırlığın nasıl değiştiğini açıklamaktadır. Eğitmen, Dünya ve Ay arasındaki yerçekimi farkını örneklerle göstermekte, kütle çekim kuvvetinin ağırlık oluşumundaki rolünü anlatmaktadır. 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Öğretmen, konuları çizimlerle görselleştirerek açıklamaktadır.","Video, açıların tanımı ve özellikleri ile başlayıp, doğruda açılar kuralları (C kuralı, Z kuralı, Roket kuralı), paralel doğrular arasındaki açılar, iç ters, dış ters ve yöndeş açılar gibi konuları ele almaktadır. Ardından çokgenler konusuna geçilerek düzgün çokgenler, köşegenler, iç açılar toplamı ve dış açılar toplamı formülleri anlatılmaktadır. Video, Tonguç Akademi platformunun kullanımı ve geometri sorularının çözüm teknikleriyle sona ermektedir.","Videoda konular, örnek sorular ve alıştırmalar üzerinden pekiştirilmekte, öğrencilerin gerçek sınav sistemine hazırlanabilmeleri için motivasyon denemeleri hakkında bilgi verilmektedir. Ayrıca \"Yedi Tost\" kitabından açılar konusuna ait ödevler verilmektedir."]},"endTime":3849,"title":"7. Sınıf Matematik: Açılar ve Çokgenler Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Dersin Tanıtımı","list":{"type":"unordered","items":["Tonguç, bugün açılar ve çokgenler konusunu işleyecektir.","7. sınıf Mart programında çokgenler ve açılar konusu bulunmaktadır.","Ders kapsamında açı çeşitleri, açıortay, aynı düzende üç doğrunun durumları, ters açılar ve Z kuralı ele alınacaktır."]},"beginTime":1,"endTime":62,"href":"/video/preview/2901229852217838063?parent-reqid=1769698498885864-4960182133290133030-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Weidner7&t=1&ask_summarization=1"},{"index":1,"title":"Açı ve Açıortay","list":{"type":"unordered","items":["Açı, iki ışının birleştiği noktada oluşan açıktır.","Açıortay, bir açıyı iki eş parçaya bölen ışındır.","Açıortay, açıyı ortadan ikiye böler ve açıortay çizgisi olarak 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denir; örneğin b ile c ve a ile d iç ters açılardır.","Dış açılar arasında ters yöne bakarak olanlara \"dış ters açılar\" denir; örneğin f ile g ve e ile h dış ters açılardır."]},"beginTime":543,"endTime":648,"href":"/video/preview/2901229852217838063?parent-reqid=1769698498885864-4960182133290133030-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Weidner7&t=543&ask_summarization=1"},{"index":6,"title":"Yöndeş Açılara Bakış","list":{"type":"unordered","items":["Aynı yöne bakan açılara \"yöndeş açılar\" denir.","Yöndeş açılar arasında b ile h, a ile g, d ile f, e ile c bulunur."]},"beginTime":648,"endTime":705,"href":"/video/preview/2901229852217838063?parent-reqid=1769698498885864-4960182133290133030-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Weidner7&t=648&ask_summarization=1"},{"index":7,"title":"Z Kuralı","list":{"type":"unordered","items":["Z kuralı, paralel doğrular arasında Z şeklindeki açıların iç ters açılar olduğunu gösterir.","Z kuralına göre, iç ters açılardır ve a = d eşitliği sağlanır."]},"beginTime":705,"endTime":765,"href":"/video/preview/2901229852217838063?parent-reqid=1769698498885864-4960182133290133030-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Weidner7&t=705&ask_summarization=1"},{"index":8,"title":"C ve Roket Kuralları","list":{"type":"unordered","items":["C kuralı, paralel doğrular arasında oluşan açıların toplamının 180 derece olduğunu belirtir.","Roket kuralı, üç açının toplamının 360 derece olduğunu gösterir.","Geometride bir soruyu farklı yollarla çözebilirsiniz, bu da geometrinin zor olmayan bir konusu olduğunu gösterir."]},"beginTime":767,"endTime":994,"href":"/video/preview/2901229852217838063?parent-reqid=1769698498885864-4960182133290133030-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Weidner7&t=767&ask_summarization=1"},{"index":9,"title":"C ve Z Kurallarının Uygulanması","list":{"type":"unordered","items":["Bir soruda hem C kuralı hem de Z kuralı kullanılabilir.","C kuralı, paralel doğrular arasındaki açıların toplamının 180 derece olduğunu kullanarak açıları bulabilirsiniz.","Z kuralı, paralel doğrular arasındaki eşit açıları belirleyerek soruyu çözebilirsiniz."]},"beginTime":994,"endTime":1154,"href":"/video/preview/2901229852217838063?parent-reqid=1769698498885864-4960182133290133030-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Weidner7&t=994&ask_summarization=1"},{"index":10,"title":"Pratik ve Kuralların Önemi","list":{"type":"unordered","items":["Geometri sorularında C, Z ve M kurallarını tanıyabilmek önemlidir.","Soruları çözerken pratik yaparak bu kurallara alışabilirsiniz.","C ve Z kuralları geometri sorularında sıkça karşılaşılan ve kullanışlı kurallardır."]},"beginTime":1154,"endTime":1294,"href":"/video/preview/2901229852217838063?parent-reqid=1769698498885864-4960182133290133030-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Weidner7&t=1154&ask_summarization=1"},{"index":11,"title":"M Kuralı ve Açılar","list":{"type":"unordered","items":["M kuralı, iki kenardaki açıların toplamının ortadaki açıya eşit olmasıdır.","M kuralı kullanılarak, ortadaki açı 90 derece olduğunda, diğer açıların toplamı 90 derece olur ve bir açı 42 dereceyse, diğer açı 48 derece olarak bulunur.","Açılar sorularında farklı yöntemlerle (M, Z, C, Roket kuralı) aynı sorunun çözümü yapılabilir."]},"beginTime":1297,"endTime":1402,"href":"/video/preview/2901229852217838063?parent-reqid=1769698498885864-4960182133290133030-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Weidner7&t=1297&ask_summarization=1"},{"index":12,"title":"Farklı Yöntemlerle Açı Hesaplama","list":{"type":"unordered","items":["Ters açılar kuralı, birbirine ters açıların eşit olmasıdır.","C kuralı, bir üçgende iç açıların toplamının 180 derece olmasıdır.","Roket kuralı, bir açıda üç açının toplamının 360 derece olmasıdır."]},"beginTime":1402,"endTime":1674,"href":"/video/preview/2901229852217838063?parent-reqid=1769698498885864-4960182133290133030-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Weidner7&t=1402&ask_summarization=1"},{"index":13,"title":"Çokgenler","list":{"type":"unordered","items":["Çokgen, birden çok kenarı olan şekillerdir; üç kenarı olan üçgen, dört kenarı olan dörtgen, beş kenarı olan beşgen şeklinde adlandırılır.","Düzgün çokgenler, hem kenarları hem iç açıları eşit olan çokgenlerdir.","Düzgün çokgenlerde üçgen eşkenar üçgen, dörtgen kare, beşgen düzgün beşgen olarak adlandırılır."]},"beginTime":1674,"endTime":1771,"href":"/video/preview/2901229852217838063?parent-reqid=1769698498885864-4960182133290133030-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Weidner7&t=1674&ask_summarization=1"},{"index":14,"title":"Köşegen Kavramı","list":{"type":"unordered","items":["Köşegen, ardışık olmayan köşeleri birleştiren çizgilere denir.","Kenarlar köşegen sayılmaz çünkü kenarlar ardışık köşeleri birleştirir.","Üçgende köşegen yoktur, dörtgende iki, beşgende beş, altıgende dokuz köşegen vardır."]},"beginTime":1773,"endTime":2015,"href":"/video/preview/2901229852217838063?parent-reqid=1769698498885864-4960182133290133030-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Weidner7&t=1773&ask_summarization=1"},{"index":15,"title":"Köşeden Çıkan Köşegen Sayısı","list":{"type":"unordered","items":["Bir köşeden çıkan köşegen sayısı, n kenarlı çokgende n-3'tür.","Bir köşeden çıkan köşegenler, çokgende n-2 tane üçgen oluşturur.","Çokgenin iç açıları toplamı, (n-2)×180° formülü ile hesaplanır."]},"beginTime":2015,"endTime":2190,"href":"/video/preview/2901229852217838063?parent-reqid=1769698498885864-4960182133290133030-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Weidner7&t=2015&ask_summarization=1"},{"index":16,"title":"Altıgen Örneği","list":{"type":"unordered","items":["Altıgenin iç açıları toplamı 720°'dir.","Altıgenin iç açıları toplamı formülü (n-2)×180° kullanılarak hesaplanır.","Altıgenin iç açıları toplamı biliniyorsa, bilinmeyen açılar bulunabilir."]},"beginTime":2190,"endTime":2303,"href":"/video/preview/2901229852217838063?parent-reqid=1769698498885864-4960182133290133030-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Weidner7&t=2190&ask_summarization=1"},{"index":17,"title":"Yedinci Sınıf Tost Hakkında Bilgilendirme","list":{"type":"unordered","items":["Yedinci sınıf için özel bir tost hazırlanmıştır.","Tostta Türkçe, matematik ve fen dersleri odaklı çalışmalara yer verilmiştir.","Matematik tostunda bir dönemin tekrarı yapılmış, yeni MEB tarzı sorular ve deney soruları bulunmaktadır."]},"beginTime":2303,"endTime":2382,"href":"/video/preview/2901229852217838063?parent-reqid=1769698498885864-4960182133290133030-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Weidner7&t=2303&ask_summarization=1"},{"index":18,"title":"Çokgenlerin Dış Açıları","list":{"type":"unordered","items":["Tüm çokgenlerin dış açıları toplamı 360 derecedir.","İç açılar, çokgende 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altıgenin iç açıları incelenerek, ikizkenar üçgen özellikleri kullanılarak açıların ölçüsü hesaplanıyor.","İkinci soruda düzgün beşgenin iç açıları ve ikizkenar üçgen özellikleri kullanılarak açıların ölçüsü bulunuyor."]},"beginTime":2858,"endTime":3258,"href":"/video/preview/2901229852217838063?parent-reqid=1769698498885864-4960182133290133030-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Weidner7&t=2858&ask_summarization=1"},{"index":22,"title":"Ödev ve Sürpriz","list":{"type":"unordered","items":["Eğitmen, öğrencilerin \"Tonguç 7 Tost\" kitabından açılar konusundan ödev yapmalarını istiyor.","Ödev olarak açıortay, doğruda açılar, çokgenler ve özel dörtgenler konularından sorular çözülmeli.","Motivasyon denemelerinin MEB kazanımlarına uygun, PISA sınavlarına uygun ve optik formda hazırlandığı 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