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We're here with the first video of our Problems from Scratch Camp. Don't forget to follow us for new lessons! ☞ / @sıfırdansonsuzamatematik ☞...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3429339/9fcf9ec7d41b389c3200ef96060d0834/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/Pw-1RgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"18","reqid":"1769587477317348-12732720945282331748-balancer-l7leveler-kubr-yp-vla-62-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769587477317348-12732720945282331748-balancer-l7leveler-kubr-yp-vla-62-BAL&text=videoid:290820075397323752","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik öğretmeninin \"Problemlerle Sıfırdan Başlangıç\" serisinin bir parçası olarak öğrencilere problem çözme taktiklerini anlattığı bir eğitim içeriğidir.","Videoda, matematik problemlerinin çözümünde kullanılabilecek çeşitli taktikler adım adım gösterilmektedir. Öğretmen, bilinmeyenleri temsil etmek için harf kullanma, soruları parça parça okuma, ikinci ifadeye x verme, görselli soruları çözme, denklem kurma ve iki çokluğun toplamı/farkı gibi temel taktikleri örneklerle açıklamaktadır.","Video, teorik bilgilerin ardından çeşitli problem türleri üzerinden uygulamalı örneklerle devam etmektedir. Para problemleri, rasyonel sayılar, günlük hayattan problemler, yaş problemleri ve görselli sorular gibi farklı problem türleri ele alınmakta, her problem için farklı çözüm yolları gösterilmektedir. Video, öğrencilere kitaptan ödevler verilerek sona ermektedir."]},"endTime":2378,"title":"Matematik Problemleri Çözüm Taktikleri Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Problem Çözüm Serisi Tanıtımı","list":{"type":"unordered","items":["Bu kanalda sadece bu kanalda ve kitapta bulunan problem çözüm taktikleri öğretilecek.","Videoda kitaptan seçilen önemli sorular çözülecek, geriye kalanlar ödev olarak bırakılacak.","Problem çözme serisi bittiğinde, karşınıza çıkacak problemlerin %90'ını çözebileceksiniz."]},"beginTime":0,"endTime":91,"href":"/video/preview/290820075397323752?parent-reqid=1769587477317348-12732720945282331748-balancer-l7leveler-kubr-yp-vla-62-BAL&text=SAV+INTERNET&t=0&ask_summarization=1"},{"index":1,"title":"Problem Çözme Taktikleri","list":{"type":"unordered","items":["Bilinmeyenin yerine genellikle x harfi kullanılır, ancak her zaman x vermek zorunlu değil.","\"Sayının üç fazlası\" ifadesi x+3, \"sayının dört eksiği\" ifadesi x-4 şeklinde yazılır.","\"Sayının beş katı\" ifadesi 5x, \"sayının dört katının iki fazlası\" ifadesi 4x+2 şeklinde yazılır."]},"beginTime":91,"endTime":182,"href":"/video/preview/290820075397323752?parent-reqid=1769587477317348-12732720945282331748-balancer-l7leveler-kubr-yp-vla-62-BAL&text=SAV+INTERNET&t=91&ask_summarization=1"},{"index":2,"title":"Matematiksel İfadelerin Yazımı","list":{"type":"unordered","items":["\"Sayının x'in iki fazlasının dört katı\" ifadesi (x+2)×4 şeklinde yazılır, kat sonra gelirse parantezli çarpma yapılır.","Sayının yarısı için x/2 yerine 2x seçilebilir, böylece işlem daha kolay hale gelir.","Sayının üçte biri için x/3 yerine 3x seçilebilir, böylece işlem daha kolay hale gelir."]},"beginTime":182,"endTime":270,"href":"/video/preview/290820075397323752?parent-reqid=1769587477317348-12732720945282331748-balancer-l7leveler-kubr-yp-vla-62-BAL&text=SAV+INTERNET&t=182&ask_summarization=1"},{"index":3,"title":"Kesir Problemleri ve Özel Durumlar","list":{"type":"unordered","items":["Kesir problemlerinde kesirle çarpma işlemi yapılır, örneğin \"sayının iki beşi\" ifadesi 2x/5 şeklinde yazılır.","Sayının karesi için x², \"x karenin üç fazlası\" için x²+3 şeklinde yazılır.","Önce söylenen işlem önce uygulanır, örneğin \"x+3\" ifadesi (x+3)² şeklinde yazılmalıdır."]},"beginTime":270,"endTime":338,"href":"/video/preview/290820075397323752?parent-reqid=1769587477317348-12732720945282331748-balancer-l7leveler-kubr-yp-vla-62-BAL&text=SAV+INTERNET&t=270&ask_summarization=1"},{"index":4,"title":"Matematik Problemlerinde Taktikler","list":{"type":"unordered","items":["Matematik problemlerinde ilk taktik, bir x verip o x'e bazı işlemler uygulamaktır.","İkinci taktik, problemi baştan sona okumak yerine parça parça okumak ve her parçadan matematiksel bir ifade çıkarmaktır.","İkili durumlarda (Semih-Fatih, Ali-Veli gibi) ikinci ifadeye x verilir ve işlem uygulanarak birinci ifadeye aktarılır."]},"beginTime":342,"endTime":386,"href":"/video/preview/290820075397323752?parent-reqid=1769587477317348-12732720945282331748-balancer-l7leveler-kubr-yp-vla-62-BAL&text=SAV+INTERNET&t=342&ask_summarization=1"},{"index":5,"title":"Örnek Problemler","list":{"type":"unordered","items":["\"Semih'in parası Fatih'in parasının iki katıdır, Semih Fatih'e 60 TL verirse ikisinin paraları eşit oluyor, buna göre Semih'in başlangıçtaki parası kaç TL'dir?\" sorusunda, Fatih'in parasına x verilir ve denklem kurulur.","\"Hangi sayının iki katının üç fazlası yirmiyedi'dir?\" sorusunda, x'in iki katından üç fazlası yirmiyedi'ye eşitlenir ve denklem çözülür.","\"Bir sayının iki eksiğinin eksi iki bölü üçü ile bir fazlasının iki katı toplamı otuzdört elde ediliyor\" sorusunda, parantezli ifadeler kullanılarak denklem kurulur ve çözülür."]},"beginTime":386,"endTime":776,"href":"/video/preview/290820075397323752?parent-reqid=1769587477317348-12732720945282331748-balancer-l7leveler-kubr-yp-vla-62-BAL&text=SAV+INTERNET&t=386&ask_summarization=1"},{"index":6,"title":"Daha Fazla Örnek","list":{"type":"unordered","items":["\"Ömer'in parasının üç katının on fazlası yetmiş\" sorusunda, Ömer'in parasına x verilir ve denklem çözülür.","\"Ömer parasının çeyreğini harcarsa geriye kaç TL kalır?\" sorusunda, Ömer'in parasının çeyreği hesaplanır ve geriye kalan miktar bulunur.","\"Elif her gün bir önceki gün çözdüğü soru sayısının yarısı kadar soru çözerek üç günde toplam ikiyüzon soru çözmüş\" sorusunda, birinci güne 4x, ikinci güne 2x, üçüncü güne x verilerek denklem kurulur ve çözülür."]},"beginTime":776,"endTime":966,"href":"/video/preview/290820075397323752?parent-reqid=1769587477317348-12732720945282331748-balancer-l7leveler-kubr-yp-vla-62-BAL&text=SAV+INTERNET&t=776&ask_summarization=1"},{"index":7,"title":"Yeni Nesil Soru Çözümü","list":{"type":"unordered","items":["Yeni nesil sorular, güncel hayattan şekillerinde görsellerin olduğu, daha uzun ve karmaşık sorulardır.","Görselli sorularda önce görselden ne anladığınızla ilgili not almanız gerekir.","Soruda A kasasında 6 şişe, B kasasında 8 şişe olduğu belirtilmiştir."]},"beginTime":971,"endTime":1031,"href":"/video/preview/290820075397323752?parent-reqid=1769587477317348-12732720945282331748-balancer-l7leveler-kubr-yp-vla-62-BAL&text=SAV+INTERNET&t=971&ask_summarization=1"},{"index":8,"title":"Sorunun Analizi","list":{"type":"unordered","items":["Tüccar A tipi kasalardan belli miktarlarda, B tipi kasalardan belli miktarlarda alıyor.","A tipi kasaların sayısı, B tipi kasaların sayısının iki katının 12 eksiği olarak verilmiştir.","A tipi kasadaki şişelerin toplam sayısı, B tipi kasadaki şişelerin toplam sayısına eşittir."]},"beginTime":1031,"endTime":1137,"href":"/video/preview/290820075397323752?parent-reqid=1769587477317348-12732720945282331748-balancer-l7leveler-kubr-yp-vla-62-BAL&text=SAV+INTERNET&t=1031&ask_summarization=1"},{"index":9,"title":"Simülasyon Yöntemi","list":{"type":"unordered","items":["Soruyu çözmeden önce simülasyon yöntemi kullanarak soruyu çözüyormuş gibi düşünmek önemlidir.","Şişe sayısı ile kutu sayısını çarpmak, toplam şişe sayısını bulmak için kolay bir yöntemdir.","A tipi kasadaki şişelerin toplam sayısı ile B tipi kasadaki şişelerin toplam sayısının eşit olduğu denklem kurularak x=18 bulunur."]},"beginTime":1137,"endTime":1347,"href":"/video/preview/290820075397323752?parent-reqid=1769587477317348-12732720945282331748-balancer-l7leveler-kubr-yp-vla-62-BAL&text=SAV+INTERNET&t=1137&ask_summarization=1"},{"index":10,"title":"İkinci Taktik","list":{"type":"unordered","items":["İkinci taktikte, iki kişinin paralarının toplamının 100 TL olduğu verilmiştir.","Bir kişinin parası x TL ise, diğer kişinin parası 100-x TL olarak hesaplanır.","İki çokluğun toplamı verildiğinde, bir çokluğun değeri x ise, diğer çokluğun değeri 100-x olarak ifade edilir."]},"beginTime":1347,"endTime":1497,"href":"/video/preview/290820075397323752?parent-reqid=1769587477317348-12732720945282331748-balancer-l7leveler-kubr-yp-vla-62-BAL&text=SAV+INTERNET&t=1347&ask_summarization=1"},{"index":11,"title":"Kalem ve Silgi Problemi","list":{"type":"unordered","items":["Kalem ve silgi yan yana gösterilmiş, uzunluklarının toplamı 20 santim olarak belirtilmiştir.","Kalem 4 santim, silgi 2 santim kısaldığında kalemin uzunluğu silginin uzunluğunun 6 katı olmuştur.","Denklem kurularak x=4 bulunmuş, kalemin başlangıçtaki uzunluğu 20-4=16 santimdir."]},"beginTime":1501,"endTime":1660,"href":"/video/preview/290820075397323752?parent-reqid=1769587477317348-12732720945282331748-balancer-l7leveler-kubr-yp-vla-62-BAL&text=SAV+INTERNET&t=1501&ask_summarization=1"},{"index":12,"title":"Toplamları","list":{"type":"unordered","items":["Toplamları 20 olan iki sayıdan birine x, diğerine 20-x denilmiştir.","İkinci çözüm taktiğinde bir sayı diğerinin iki katının iki fazlası olarak ifade edilmiştir.","Her iki yöntemle de x=14 bulunmuş, büyük sayı 20-14=6 olarak hesaplanmıştır."]},"beginTime":1660,"endTime":1822,"href":"/video/preview/290820075397323752?parent-reqid=1769587477317348-12732720945282331748-balancer-l7leveler-kubr-yp-vla-62-BAL&text=SAV+INTERNET&t=1660&ask_summarization=1"},{"index":13,"title":"Yaş Problemi","list":{"type":"unordered","items":["Yaşları farkı 6 olan iki kardeşin yaşları toplamı 28 olarak belirtilmiştir.","Fark alırken parantez kullanmanın öneminden bahsedilmiş, a-b farkının a-(-b) şeklinde yazılması gerektiği vurgulanmıştır.","Her iki yöntemle de küçük kardeşin 11, büyük kardeşin 17 yaşında olduğu bulunmuştur."]},"beginTime":1822,"endTime":2017,"href":"/video/preview/290820075397323752?parent-reqid=1769587477317348-12732720945282331748-balancer-l7leveler-kubr-yp-vla-62-BAL&text=SAV+INTERNET&t=1822&ask_summarization=1"},{"index":14,"title":"Denklem Kurma Taktikleri","list":{"type":"unordered","items":["Deniz ve Emre'nin paraları toplamı 45 TL'dir, bu durumda birine x, diğerine 45-x değerini vermek ikinci taktiktir.","Deniz 2 TL, Emre 3 TL harcayınca Emre'nin parası Deniz'in parasının 3 katı olur, bu durumda denklem kurularak x=12 bulunur.","Emre'nin başlangıçtaki parası 45-x formülüyle 33 TL olarak hesaplanır, ancak harcama sonrası başlangıçtaki paraya dokunulmamalıdır."]},"beginTime":2019,"endTime":2197,"href":"/video/preview/290820075397323752?parent-reqid=1769587477317348-12732720945282331748-balancer-l7leveler-kubr-yp-vla-62-BAL&text=SAV+INTERNET&t=2019&ask_summarization=1"},{"index":15,"title":"Yeni Nesil Soru Çözümü","list":{"type":"unordered","items":["Dikdörtgen şeklindeki çikolata kutusunun yırtılan paketinde bitter ve sütlü çikolatalar bulunmaktadır.","Kutudaki çikolatalar eş kare şeklinde üst üste koyulmadan yan yana dizilerek kutunun tamamı doldurulmuştur.","Kutuda toplam 28 çikolata vardır ve bitter çikolatalar sütlü çikolatalardan 8 fazladır, bu durumda sütlü çikolata sayısı 10 olarak bulunur."]},"beginTime":2197,"endTime":2319,"href":"/video/preview/290820075397323752?parent-reqid=1769587477317348-12732720945282331748-balancer-l7leveler-kubr-yp-vla-62-BAL&text=SAV+INTERNET&t=2197&ask_summarization=1"},{"index":16,"title":"Gelecek Konular ve Ödev","list":{"type":"unordered","items":["İki taktik anlatıldıktan sonra üç 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