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Öğretmen, sayıların aralarında asallığı, dikdörtgen şeklindeki alanların karesel parçalara ayrılması, trafik lambalarının yanma süreleri ve arsa parselleme gibi günlük hayattan örneklerle konuyu pekiştirmektedir. 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I create exciting Matatag lesson presentations for students, teachers, and parents. 💡📚 FB Page...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3687030/4db000db35bb574611a4ccbccad37fac/564x318_1"},"target":"_self","position":"9","reqid":"1769182022185050-11832039762025351800-balancer-l7leveler-kubr-yp-sas-148-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DSM78iiE1JPE","linkTemplate":"/video/preview/1771500450128276941?parent-reqid=1769182022185050-11832039762025351800-balancer-l7leveler-kubr-yp-sas-148-BAL&text=Math4IQB&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"MATH 4 Quarter 1 Lesson 8 Estimating the Sum and Difference of Two 5 to 6-digit Numbers","related_orig_text":"Math4IQB","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math4IQB\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=SM78iiE1JPE\",\"src\":\"serp\",\"rvb\":\"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_E6ERggQkAYAEKyqLARABGniB7vYHCAL-AO__BP7_AgABFQX4BvUBAQDz8Pn_BQL_APIACPz7AAAA-hDw_wMAAAAI7gMM_f0BAAb-9_UEAAAAD_r89PUAAAAPDPsE_gEAAPTx_wED_wAAIPUGAwAAAAAOAP37__8AAAcOCwoAAAAAAQAJ9v8AAAAgAC2d_cw7OBNACUhOUAIqcxAAGmASFAAtIQ7T6-MI3dnw2iIW3ff1EcvxAAnsACoP0M4BF_DIH8f_IOwNALsAAAAWBfEBEwDUWQ3f5BoOPeTtrvnmA3_7EdAl5hr_6QgRBQ9GFtblElEA0AcPChb-6zMiCh4gAC0r-kE7OBNACUhvUAIqrwYQDBqgBgAAoMAAANjBAAAwQQAAyEEAAAAAAADgQAAAVEIAADjCAACKQgAAqMEAAChCAACAwAAANMIAAOBBAAAQQgAA-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_AACIQQAAEMIAAKBCAACUwgAAoEEAAOjBAADowQAAcMIAAFTCAAD4QQAAiMEAAKDBAACYQQAAAEEAAAAAAACQwQAA4MEAAIBCAAAAwAAAMMIAAIDAAACQQQAAiMEAAADBAAAAwAAA2MEAAJzCAAA4wgAAmkIAAFDBAAAAQgAAgMAAAMjBAADYQQAAMEEAAFxCAAAUQgAAwEEAAKBBAAA4wgAAgkIAAHDBAABAQQAAAMEAAMjBAAD4wQAAeMIAAIJCAAAAQAAA4EAAAADAAAAAwgAAYEIAALZCAACAwAAAIMIAAKDAAACWwgAAwMAAAODBAACYwQAASEIAABTCAACSQgAAHEIAAIjBAABMQgAAlsIAAJhBIAA4E0AJSHVQASqPAhAAGoACAACAOwAAcL0AAIY-AADIvQAAoLwAAEQ-AAAkPgAAFb8AAHy-AACgPAAAyL0AAIi9AAAMvgAAFD4AALa-AABwvQAARD4AAKC8AAD4PQAAnj4AAH8_AAAQvQAAEL0AADQ-AAAEvgAAVL4AAJY-AAAMvgAADD4AACQ-AACoPQAAgLsAAEy-AABwvQAAFD4AABC9AACWPgAAcL0AAIa-AACmvgAA-L0AAKi9AABwPQAAML0AAFC9AAAQvQAAoj4AANi9AAD4PQAAfL4AACw-AAAwPQAAqD0AAHA9AACIvQAAqL0AAA0_AABQvQAAgDsAACQ-AACIvQAAFD4AABQ-AABAPCAAOBNACUh8UAEqjwIQARqAAgAAqL0AAAS-AABQvQAANb8AAIA7AAAQvQAA2D0AABS-AADYvQAAUD0AAAS-AAC4vQAAqL0AAEy-AACIPQAAUL0AAKi9AAAtPwAAcL0AANo-AAAMvgAAfL4AANi9AAAkvgAAmD0AAKi9AABQvQAAEL0AANg9AACAOwAAQDwAAOg9AABQvQAA4LwAAEQ-AAAwvQAAHD4AACQ-AAB8vgAAML0AAAw-AACgPAAAEL0AAIi9AAB8vgAAcL0AAH-_AACovQAAUL0AAJi9AABAPAAAFL4AAIA7AABQPQAAUL0AAKA8AACgPAAAqD0AAIi9AAAEPgAA4DwAAIi9AABAPAAAUD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=SM78iiE1JPE","parent-reqid":"1769182022185050-11832039762025351800-balancer-l7leveler-kubr-yp-sas-148-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["1771500450128276941"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"9375550491027121422":{"videoId":"9375550491027121422","docid":"34-4-6-Z8DAA6BAC04924195","description":"Matematiğe DAİR HER ŞEY EN Temelden Başlayarak FOUR MATH Kanalimizda... 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Matematiğe DAİR HER ŞEY EN Temelden Başlayarak FOUR MATH Kanalimizda Olacak. Fourmath Kanali...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/749836/411f9d66c7d71c8a08d81ab82f54f218/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/NAsAKQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"13","reqid":"1769182022185050-11832039762025351800-balancer-l7leveler-kubr-yp-sas-148-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769182022185050-11832039762025351800-balancer-l7leveler-kubr-yp-sas-148-BAL&text=videoid:4678662255557857109","teaser":[{"list":{"type":"unordered","items":["Bu video, Engin Hoca ve Şahin Hoca'nın yer aldığı bir zeka soruları programıdır. Sunucular, izleyicilere zeka problemlerini çözmelerini teşvik etmektedir.","Videoda iki farklı zeka sorusu ele alınmaktadır. İlk soruda, amfi sisteminde dizilen 20 kişiye şapka takılması ve en az 19 kişinin doğru cevap vermesi gerektiği bir durum incelenmektedir. İkinci soruda ise, iki kişinin biri sürekli doğru, diğeri sürekli yalan söyleyen bir durumda, bir kişinin doğru yola gitmek için sorması gereken tek soru sorulmaktadır. 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Videoda Engin Hoca adında bir öğretmen de yer almaktadır.","Video, sayı kümelerinin (rakamlar, doğal sayılar, tam sayılar, rasyonel sayılar ve irrasyonel sayılar) detaylı açıklamasıyla başlayıp, sayı doğrusu üzerindeki gösterimlerini anlatmaktadır. Daha sonra rasyonel sayılarla ilgili işlemler ve toplama-çarpma işlemlerinin özellikleri (kapalılık, değişme, birleşme, etkisiz eleman, ters eleman, yutan eleman) açıklanmakta, bölme ve bölünebilme kuralları konusuna geçiş yapılmaktadır.","Dersin sonunda, sayı kümeleriyle ilgili yorumsal sorular çözülerek konunun pekiştirilmesi amaçlanmaktadır. Video, yeni bir üniteye başlama mesajıyla başlayıp, bölme ve bölünebilme kuralları konusuna geçiş yaparak sona ermektedir."]},"endTime":816,"title":"Matematik Dersi: Sayı Kümeleri ve İşlem Özellikleri","beginTime":0}],"fullResult":[{"index":0,"title":"Sayılar Kümesi Tanıtımı","list":{"type":"unordered","items":["Yeni bir ünite olan denklem, eşitsizlik ve sayılar konusuna başlanıyor.","Bu derste doğal sayılar, tam sayılar ve sayıların özellikleri öğrenilecek.","Rakamlar, 0'dan 9'a kadar olan değerlerdir ve matematik alfabesi olarak sayıları oluştururlar."]},"beginTime":0,"endTime":71,"href":"/video/preview/6685963595408774322?parent-reqid=1769182022185050-11832039762025351800-balancer-l7leveler-kubr-yp-sas-148-BAL&text=Math4IQB&t=0&ask_summarization=1"},{"index":1,"title":"Doğal Sayılar ve Tam Sayılar","list":{"type":"unordered","items":["Doğal sayılar sıfırdan başlayıp bir, iki, üç şeklinde sonsuza kadar devam eden, sayılabilir ve en küçük elemanı olan sayılardır.","Tam sayılar eksi sonsuzdan artı sonsuza kadar olan, sayılabilir ve alttan ve üstten sınırsız olan sayılardır.","Sıfır hem tam sayı hem de doğal sayıdır, ancak pozitif veya negatif olarak adlandırılamaz."]},"beginTime":71,"endTime":136,"href":"/video/preview/6685963595408774322?parent-reqid=1769182022185050-11832039762025351800-balancer-l7leveler-kubr-yp-sas-148-BAL&text=Math4IQB&t=71&ask_summarization=1"},{"index":2,"title":"Rasyonel ve İrrasyonel Sayılar","list":{"type":"unordered","items":["Rasyonel sayılar a/b şeklinde gösterilen, kesirli sayılar olup, negatif kesirli sayılar da dahil olmak üzere sayılabilir sayılardır.","İrrasyonel sayılar virgülden sonra devam eden, devirli olmayan ve kuralı belli olmayan sayılardır (örneğin π, kök 3, kök 5).","Reel sayılar, rasyonel sayılar ve irrasyonel sayıların birleşimidir ve sayılamaz 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DAİR HER ŞEY EN Temelden Başlayarak FOUR MATH Kanalimizda... Fourmath Kanali https://www.youtube.com/c/fourmath Sosyal Medya Hesaplarimiz https://www.facebook.com/Four4Math...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/923951/5234469b93f53483a7a4a5826d9801df/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/SGoMJQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1769182022185050-11832039762025351800-balancer-l7leveler-kubr-yp-sas-148-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769182022185050-11832039762025351800-balancer-l7leveler-kubr-yp-sas-148-BAL&text=videoid:11758903405074937427","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen ve Engin Hoca adlı bir kişinin yer aldığı matematik ve zeka sorularının çözüldüğü bir eğitim içeriğidir. Eğitmen, izleyicilere önceki hafta sorulan bir oyunu ve yeni bir metro güzergahı sorusunu açıklamaktadır.","Video iki ana bölümden oluşmaktadır. İlk bölümde, bir sayıdan başlayarak iki kişi arasında oynanan ve \"iki\" veya \"on\" diyen kişinin kaybettiği bir oyunun kazanma stratejisi anlatılmaktadır. Eğitmen, \"üç artı bir\" kuralını kullanarak oyunu nasıl kazanabileceğinizi göstermektedir. İkinci bölümde ise, Engin Hoca'nın her gün metroyla Format Stüdyolarına gidişini ve neden yaklaşık %90'lık ihtimalle aynı metroyu tercih ettiğini sorgulayan bir zeka sorusu sunulmaktadır."]},"endTime":404,"title":"Matematik ve Zeka Soruları Çözüm Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Sayı Oyunu Problemi","list":{"type":"unordered","items":["Geçen hafta sorulan bir oyun problemi tekrar ele alınıyor: İki kişi belirli bir sayıdan başlayarak karşılıklı olarak düşmeye başlıyor ve \"on\" diyen oyunu kaybediyor.","Oyunu garantilemek için hangi sayıyı söylemek gerekiyor sorusu soruluyor.","\"Bir\" diyen kesinlikle kazanıyor çünkü karşıdaki kişi artık alternatif kalmıyor, ancak \"iki\" diyen kaybedebilir."]},"beginTime":0,"endTime":79,"href":"/video/preview/11758903405074937427?parent-reqid=1769182022185050-11832039762025351800-balancer-l7leveler-kubr-yp-sas-148-BAL&text=Math4IQB&t=0&ask_summarization=1"},{"index":1,"title":"Oyunu Kazanma 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Örnek olarak, bir mekanik sistemin A noktasının CG3 noktasındaki uzun açısal ivmesi ve 3 numaralı uzun açısal ivmesi hesaplanmaktadır. Çözüm sürecinde kompleks sayılarla denklemlerin nasıl türetilip çözüleceği, bilinenlerin bir tarafa, bilinmeyenlerin diğer tarafa toplanması ve Graham kuralı kullanılarak denklemlerin nasıl çözüleceği detaylı olarak anlatılmaktadır. Video, skalar denklemlerle ve grafik yöntemiyle yapılan çözümlerle karşılaştırmalı olarak sonuçları göstermektedir."]},"endTime":633,"title":"Mekanizma Tekniği: İvme Analizi ve Vektör Devre Denklemleri","beginTime":0}],"fullResult":[{"index":0,"title":"Mekanizma Tekniği İvme Analizi","list":{"type":"unordered","items":["Mekanizma tekniği ivme analizi, vektör devre denklemleri ve kompleks sayılarla çözümü ele alınacak.","Birinci örnekte A noktasının CG üç noktasını ve üç numaralı uzun açısal ivmesi bulunacak.","Konum analizinde ve hız analizinde kullanılan vektör devre denklemleri OA = OC + CB + C şeklindeydi."]},"beginTime":1,"endTime":65,"href":"/video/preview/10036723112997797590?parent-reqid=1769182022185050-11832039762025351800-balancer-l7leveler-kubr-yp-sas-148-BAL&text=Math4IQB&t=1&ask_summarization=1"},{"index":1,"title":"İvme Denklemlerinin Oluşturulması","list":{"type":"unordered","items":["Hız denklemlerinin zamana göre türevi ivme denklemlerini verir.","İvme denklemlerinde s₁₂ ve s₄'ün ikinci kez türevi, θ₁₃'ün türevi ve çarpım terimleri bulunur.","İki denklem elde edildikten sonra kompleks sayılarda ifade edilmiş bu denklemleri çözmek için bilinenleri bir tarafa, bilinmeyenleri bir tarafa toplamak gerekir."]},"beginTime":65,"endTime":224,"href":"/video/preview/10036723112997797590?parent-reqid=1769182022185050-11832039762025351800-balancer-l7leveler-kubr-yp-sas-148-BAL&text=Math4IQB&t=65&ask_summarization=1"},{"index":2,"title":"Denklemlerin Çözümü","list":{"type":"unordered","items":["Gramer kuralına göre denklem çözülürken paydayı yazarken bilinmeyenler haricindekiler yazılır.","Denklem çözülürken i² = -1 ilişkisi kullanılır ve ortak parantezler alınarak sadeleştirme yapılır.","Sonuç olarak θ₁₃ = 2232,23 radyan/saniye² bulunur ve bu değer grafik yöntemiyle çözülen değerden biraz daha düşük çıkmıştır."]},"beginTime":224,"endTime":478,"href":"/video/preview/10036723112997797590?parent-reqid=1769182022185050-11832039762025351800-balancer-l7leveler-kubr-yp-sas-148-BAL&text=Math4IQB&t=224&ask_summarization=1"},{"index":3,"title":"Ağırlık Merkezindeki İvme","list":{"type":"unordered","items":["Ağırlık merkezindeki ivmeyi bulmak için hız ve pozisyon analizinde kullanılan denklemler kullanılır.","Hız denkleminin zamana göre türevi alınarak ivme denklemi elde edilir.","Sonuç olarak Rg₃ = 967,78 m/s² ve 270 derece bulunur, bu değer sanal eksen üzerinde eksi yönde (aşağı doğru) ifade 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