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olur."]},"beginTime":36,"endTime":171,"href":"/video/preview/12352251838454323317?parent-reqid=1769443131922179-3869565490337740981-balancer-l7leveler-kubr-yp-vla-150-BAL&text=Matematica+M&t=36&ask_summarization=1"},{"index":2,"title":"Katları Bulma Oyunu","list":{"type":"unordered","items":["Hatice öğretmen 6A sınıfında doğal sayıların katlarına yönelik kat bulma oyunu oynatmaktadır.","Yedi'nin sırasıyla diğer katları: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77 şeklinde sonsuza kadar devam eder.","Yedi doğal sayısı ile bu sayının katları arasında \"yedi'nin birinci, ikinci, üçüncü, dördüncü, beşinci sırasıyla sırasıyla katları alınmıştır\" şeklinde bir ilişki vardır."]},"beginTime":171,"endTime":365,"href":"/video/preview/12352251838454323317?parent-reqid=1769443131922179-3869565490337740981-balancer-l7leveler-kubr-yp-vla-150-BAL&text=Matematica+M&t=171&ask_summarization=1"},{"index":3,"title":"En Küçük Katlar","list":{"type":"unordered","items":["Tabloda 8 doğal sayısının katı olan sayılar siyah kalemle, 13 doğal sayısının katı olan sayılar kırmızı kalemle işaretlenmiştir.","Herhangi bir doğal sayının en küçük katı sayının kendisidir.","Bir doğal sayının çarpanları verildiğinde, çarpanların en büyüğü sayıyı verir."]},"beginTime":365,"endTime":673,"href":"/video/preview/12352251838454323317?parent-reqid=1769443131922179-3869565490337740981-balancer-l7leveler-kubr-yp-vla-150-BAL&text=Matematica+M&t=365&ask_summarization=1"},{"index":4,"title":"Matematik Problemleri Çözümü","list":{"type":"unordered","items":["Zeynep Hanım otomobiliyle yola çıktıktan sonra her 80 kilometrede bir mola veriyor ve toplam 940 kilometre yol yapacağı için 80'in katlarında (80, 160, 240, 320, 400, 480, 560, 640, 720, 800, 960) mola verecektir.","60 katlı bir gökdelende 1 numaralı asansör tek sayı olan katlara, 2 numaralı asansör çift sayı olan katlara çıkıyor.","Zemin katta bulunan bir kişi 1 numaralı asansöre bindiğinde 15 farklı kata, 2 numaralı asansöre bindiğinde 30 farklı kata çıkabilir."]},"beginTime":682,"endTime":1002,"href":"/video/preview/12352251838454323317?parent-reqid=1769443131922179-3869565490337740981-balancer-l7leveler-kubr-yp-vla-150-BAL&text=Matematica+M&t=682&ask_summarization=1"},{"index":5,"title":"Asansör Problemlerinin Devamı","list":{"type":"unordered","items":["1 numaralı asansör teknik bir arıza sonucu 5'in katlarında durmadığına göre, 5, 15, 25, 35, 45 ve 55 katlarında durmayacaktır.","2 numaralı asansör teknik bir arıza sonucu 8'in katlarında durmadığına göre, 8, 16, 24, 32, 40 ve 48 katlarında durmayacaktır."]},"beginTime":1002,"endTime":1103,"href":"/video/preview/12352251838454323317?parent-reqid=1769443131922179-3869565490337740981-balancer-l7leveler-kubr-yp-vla-150-BAL&text=Matematica+M&t=1002&ask_summarization=1"},{"index":6,"title":"Çarpan ve Kat Kavramlarının Günlük Hayatta Kullanımı","list":{"type":"unordered","items":["Çarpan kavramı günlük hayatta bir şeyi eşit miktarda parçalara ayırırken (örneğin 50 kilogramlık fındık çuvalını eşit miktarda poşetlere ayırmak) kullanılır.","Kat kavramı günlük hayatta bir şeyin belirli aralıklarla tekrarlanmasını hesaplarken (örneğin 7 dakikada bir geçen bir otobüsün hangi saatlerde geçeceği) kullanılır."]},"beginTime":1103,"endTime":1306,"href":"/video/preview/12352251838454323317?parent-reqid=1769443131922179-3869565490337740981-balancer-l7leveler-kubr-yp-vla-150-BAL&text=Matematica+M&t=1103&ask_summarization=1"},{"index":7,"title":"Çarpan ve Kat Problemleri","list":{"type":"unordered","items":["20'nin çarpanları 1, 2, 4, 5, 10, 20'dir ve daire içinde olanlar 1 ve 20'dir.","35'in çarpanları 1, 5, 7, 35'tir ve daire içinde olanlar 5 ve 35'tir.","48'in çarpanları 1, 2, 4, 6, 8, 12, 16, 24, 36, 48'dir ve daire içinde olanlar 4, 6 ve 24'tür.","9'un katları 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99'dur ve daire içinde olanlar 27 ve 72'dir.","13'ün katları 13, 26, 39, 52, 65, 78, 91'dir ve daire içinde olanlar 13, 39 ve 65'tir.","22'nin katları 22, 44, 66, 88, 110'dur ve daire içinde olanlar 44, 66 ve 88'dir."]},"beginTime":1306,"endTime":1500,"href":"/video/preview/12352251838454323317?parent-reqid=1769443131922179-3869565490337740981-balancer-l7leveler-kubr-yp-vla-150-BAL&text=Matematica+M&t=1306&ask_summarization=1"},{"index":8,"title":"Doğal Sayılar Hakkında Doğru-Yanlış Sorular","list":{"type":"unordered","items":["Bir doğal sayının en küçük doğal sayı böleni birdir, bu ifade doğrudur.","Bir doğal sayının çarpanları hariç sonsuz sayıdadır ifadesi yanlıştır, çarpanlar sonludur.","Bir doğal sayının çarpanlarının en küçüğü, katların ise en büyüğü o doğal sayıdır ifadesi yanlıştır, tam tersi doğrudur.","Sıfırdan farklı doğal sayıların katları sonsuz sayıdadır ifadesi doğrudur.","Bir doğal sayının çarpanları aynı zamanda o doğal sayının bölenleridir ifadesi doğrudur."]},"beginTime":1502,"endTime":1597,"href":"/video/preview/12352251838454323317?parent-reqid=1769443131922179-3869565490337740981-balancer-l7leveler-kubr-yp-vla-150-BAL&text=Matematica+M&t=1502&ask_summarization=1"},{"index":9,"title":"Damla'nın Haftalık Harçlığı Problemi","list":{"type":"unordered","items":["Damla'nın bir haftalık karşılığı TL cinsinden elli doğal sayısının çarpanların toplamı kadardır.","50'nin çarpanları 1, 2, 5, 10, 25, 50'dir.","50'nin çarpanlarının toplamı 1+2+5+10+25+50=93 TL'dir."]},"beginTime":1597,"endTime":1650,"href":"/video/preview/12352251838454323317?parent-reqid=1769443131922179-3869565490337740981-balancer-l7leveler-kubr-yp-vla-150-BAL&text=Matematica+M&t=1597&ask_summarization=1"},{"index":10,"title":"Zübeyir Öğretmenin Çalışma Kağıtları Problemi","list":{"type":"unordered","items":["Zübeyir öğretmen her birinde 15 soru bulunan çalışma kağıtları hazırlamıştır.","Hazırladığı tüm çalışma kağıtlarındaki toplam soru sayısı 200'den azdır.","15'in katları 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195'tir ve 200'den azdır.","Zübeyir öğretmen en fazla 13 adet çalışma kağıdı hazırlamıştır."]},"beginTime":1650,"endTime":1722,"href":"/video/preview/12352251838454323317?parent-reqid=1769443131922179-3869565490337740981-balancer-l7leveler-kubr-yp-vla-150-BAL&text=Matematica+M&t=1650&ask_summarization=1"},{"index":11,"title":"Video Kapanışı","list":{"type":"unordered","items":["Sayfa 26'ya kadar olan çalışmaları tamamlanmıştır.","Bir sonraki videoda kalansız bölünebilme konusuna değinilecektir.","İzleyicilerden videoyu beğenmeleri ve kanala abone olmaları 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İkinci bölümde ise üslü ifadeler ve işlemler konusu işlenmekte, şemalardaki üslü ifadelerin değerlerini bulma, toplama, çıkarma ve kesirlerle işlem yapma işlemleri adım adım gösterilmektedir.","Video, matematik dersinde bu konuları öğrenmek veya pekiştirmek isteyen 8. sınıf öğrencileri için hazırlanmıştır."]},"endTime":998,"title":"8. 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asaldır."]},"beginTime":50,"endTime":177,"href":"/video/preview/634079024177502216?parent-reqid=1769443131922179-3869565490337740981-balancer-l7leveler-kubr-yp-vla-150-BAL&text=Matematica+M&t=50&ask_summarization=1"},{"index":2,"title":"16 ile Aralarında Asal Sayılar","list":{"type":"unordered","items":["16'dan küçük olan doğal sayılardan 8 tanesi 16 ile aralarında asaldır.","Çift olanlarla aralarında asal değil, tek olanlarla aralarında asaldır."]},"beginTime":177,"endTime":307,"href":"/video/preview/634079024177502216?parent-reqid=1769443131922179-3869565490337740981-balancer-l7leveler-kubr-yp-vla-150-BAL&text=Matematica+M&t=177&ask_summarization=1"},{"index":3,"title":"Ağaç Sulama Süreleri","list":{"type":"unordered","items":["Selma bahçesindeki ağaçları 70 dakikada, arkadaşı ise kendi bahçesindeki ağaçları 66 dakikada sulamıştır.","70 ve 66 sayıları aralarında asal değildir çünkü her iki sayı da 2'ye bölünür."]},"beginTime":307,"endTime":358,"href":"/video/preview/634079024177502216?parent-reqid=1769443131922179-3869565490337740981-balancer-l7leveler-kubr-yp-vla-150-BAL&text=Matematica+M&t=307&ask_summarization=1"},{"index":4,"title":"Asal Sayılar ve Çarpanlar","list":{"type":"unordered","items":["Üçgen ile kare doğal sayılar aralarında asaldır.","Eşkenar dörtgen yerine 2 ve 7 asal sayıları yazılamaz çünkü bu sayılar üçgen ile kare ile aralarında asal değildir."]},"beginTime":358,"endTime":436,"href":"/video/preview/634079024177502216?parent-reqid=1769443131922179-3869565490337740981-balancer-l7leveler-kubr-yp-vla-150-BAL&text=Matematica+M&t=358&ask_summarization=1"},{"index":5,"title":"Üslü İfadelerin Değerleri","list":{"type":"unordered","items":["Negatif kuvvet sayıyı ters çevirir ve tek kuvvet negatif, çift kuvvet pozitif sonuç verir.","Her sayının birinci kuvveti sayının kendisine eşittir.","Üslü ifadelerin değerlerini bulurken önce negatif üssü değerlendiririz, sonra işleme devam ederiz."]},"beginTime":436,"endTime":636,"href":"/video/preview/634079024177502216?parent-reqid=1769443131922179-3869565490337740981-balancer-l7leveler-kubr-yp-vla-150-BAL&text=Matematica+M&t=436&ask_summarization=1"},{"index":6,"title":"Üslü İfadelerin Değerleri","list":{"type":"unordered","items":["Şemalardaki üslü ifadelerin değerlerini bulup, şemalarda belirtilen işlemleri yaparak sonuçları boş kutulara yazma sorusu çözülüyor.","A şıkkında (-2)⁸ + 2⁻¹ işleminin sonucu 513/2 olarak bulunuyor.","B şıkkında (-1)²0 - 1⁻²⁰ işleminin sonucu 0,00 olarak hesaplanıyor."]},"beginTime":638,"endTime":853,"href":"/video/preview/634079024177502216?parent-reqid=1769443131922179-3869565490337740981-balancer-l7leveler-kubr-yp-vla-150-BAL&text=Matematica+M&t=638&ask_summarization=1"},{"index":7,"title":"Üslü İfadelerin Değerleri ve Karşılaştırma","list":{"type":"unordered","items":["Üslü ifadelerin değerlerini bulup, değeri en büyük olan üslü ifadeyi belirleme sorusu çözülüyor.","(-7)⁻² = 1/49, (-1)⁻³ = -1, (-2)⁵ = -32 ve 3⁻⁴ = 1/81 değerleri bulunuyor.","Negatif sayılar her zaman daha küçük olduğu için, 1/49 değeri en büyük olarak belirleniyor."]},"beginTime":853,"endTime":994,"href":"/video/preview/634079024177502216?parent-reqid=1769443131922179-3869565490337740981-balancer-l7leveler-kubr-yp-vla-150-BAL&text=Matematica+M&t=853&ask_summarization=1"}],"linkTemplate":"/video/preview/634079024177502216?parent-reqid=1769443131922179-3869565490337740981-balancer-l7leveler-kubr-yp-vla-150-BAL&text=Matematica+M&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"8.sınıf matematik ders kitabı sayfa 29-35 // 8.sınıf matematik sonuç yayınları sayfa 29-35","related_orig_text":"Matematica M","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Matematica 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unutmazsak sevinirim Corona günlerinde oyunlara biraz ara verip derslere devam ediyorum.Bugün üçgende açılar ve özelliklerinden bahsedeceğim.Umarım beğenirsiniz. Kanalıma abone olmayı...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3487225/7cb1579473cdeb725997f5f2de39c0ab/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/d0TJEAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"5","reqid":"1769443131922179-3869565490337740981-balancer-l7leveler-kubr-yp-vla-150-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769443131922179-3869565490337740981-balancer-l7leveler-kubr-yp-vla-150-BAL&text=videoid:12262388527581787594","teaser":[{"list":{"type":"unordered","items":["Bu video, Coşkun Öksüz tarafından YouTube Matematik Oyunları kanalında sunulan bir matematik eğitim içeriğidir.","Video, üçgende açılar ve üçgen eşitsizliği konularını kapsamaktadır. İlk bölümde üçgende iç açıların toplamının 180 derece olduğu, dış açıların toplamının 360 derece olduğu, ikizkenar ve eşkenar üçgenlerin özellikleri anlatılırken, ikinci bölümde üçgen eşitsizliği kavramı ve uygulamaları ele alınmaktadır.","Videoda her konu için örnek sorular çözülerek konular pekiştirilmekte, üçgen eşitsizliği prensibinin bir kenarın diğer iki kenarın toplamından büyük, farkının mutlak değerinden küçük olamayacağı prensibi detaylı olarak açıklanmaktadır."]},"endTime":1296,"title":"Üçgende Açılar ve Eşitsizlik Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Üçgende İç Açılar","list":{"type":"unordered","items":["Bir üçgende iç açıların ölçüleri toplamı 180 derecedir.","Üçgende iç açılar toplamı formülü: x + y + z = 180'dir.","Örnek olarak, ABC üçgeninde iç açıları 60, 50 ve x ise, x = 70 derece olarak bulunur."]},"beginTime":37,"endTime":206,"href":"/video/preview/12262388527581787594?parent-reqid=1769443131922179-3869565490337740981-balancer-l7leveler-kubr-yp-vla-150-BAL&text=Matematica+M&t=37&ask_summarization=1"},{"index":1,"title":"Üçgende Dış Açılar","list":{"type":"unordered","items":["Bir üçgenin dış açılarının toplamı 360 derecedir.","Dış açılar toplamı formülü: x + y + z = 360'dır.","Örnek olarak, iki dış açı 110 ve 103 ise, üçüncü dış açı 30 derece olarak bulunur."]},"beginTime":206,"endTime":318,"href":"/video/preview/12262388527581787594?parent-reqid=1769443131922179-3869565490337740981-balancer-l7leveler-kubr-yp-vla-150-BAL&text=Matematica+M&t=206&ask_summarization=1"},{"index":2,"title":"Dış Açıların Özellikleri","list":{"type":"unordered","items":["Bir üçgende bir dış açı kendisine komşu olmayan iki tane iç açının toplamına eşittir.","Dış açı formülü: z = x + y'dir.","Örnek olarak, bir dış açı 80 ve diğer iki iç açı 40 ve 40 ise, x = 40 derece olarak bulunur."]},"beginTime":318,"endTime":398,"href":"/video/preview/12262388527581787594?parent-reqid=1769443131922179-3869565490337740981-balancer-l7leveler-kubr-yp-vla-150-BAL&text=Matematica+M&t=318&ask_summarization=1"},{"index":3,"title":"İç İçe Üçgenler","list":{"type":"unordered","items":["İç içe üçgenlerde, içteki üçgenin açıları dıştaki üçgenin açılarının toplamına eşittir.","İç içe üçgenlerde açılar toplamı formülü: x = a + b + c'dir.","Örnek olarak, içteki üçgenin açıları 25, 30 ve 50 ise, dıştaki üçgenin içteki açısı 80 derece olarak bulunur."]},"beginTime":398,"endTime":541,"href":"/video/preview/12262388527581787594?parent-reqid=1769443131922179-3869565490337740981-balancer-l7leveler-kubr-yp-vla-150-BAL&text=Matematica+M&t=398&ask_summarization=1"},{"index":4,"title":"İkizkenar Üçgenler","list":{"type":"unordered","items":["İki kenarı birbirine eşit olan üçgenlere ikizkenar üçgen denir.","İkizkenar üçgende altta kalan açılar taban açıları, üstteki açı ise tepe 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