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Üslü Sayılar konusunu hâlâ tam anlayamadıysan, bu video senin için! LGS matematik konularından biri olan “Üslü Sayılar”, sınavda her yıl karşımıza çıkan kritik başlıklardan biri. Bu videoda...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3911483/904a55befc5e37a17638e55cd82a2a5d/564x318_1"},"target":"_self","position":"2","reqid":"1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D2rbm2VGt5D4","linkTemplate":"/video/preview/87563781173117176?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"LGS 2026 Matematik | Üslü Sayılar Detaylı Konu Anlatımı | Mustafa Hoca ile Öğren","related_orig_text":"Mustafa Hoca MATEMAX","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mustafa Hoca MATEMAX\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=2rbm2VGt5D4\",\"src\":\"serp\",\"rvb\":\"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_AIGCPcA8wIEBggF_QH79fwH-f39AO8B_wb1AQAAAOYJAQMAAADoA_oN_QAAAAD68A73_QAAEwgBDfQA_wAH-f3_-QAAAPEC7wQAAQAA9hr8-gMAAAAWFAEM_wAAABf-Cw_-AP8AGAn8AQEAAAAS5vv-AQAAACAALTqSvjs4E0AJSE5QAipzEAAaYCf3AE0tBs7VwQP_B-8wQdKn3rnu0tH_9_UAvxrixOvx1O0j8gA90wfnngAAACgdG_wrAPN9u_i5EwdNAp60Jw0Sfyof_-Q4EtwdFAzW_iLs4bI_BQAY3sPfCQWWUzpUASAALQY9Dzs4E0AJSG9QAiqvBhAMGqAGAACAQQAAMEEAAIA_AABAQAAAGMIAAKBBAADQQQAASEIAAI7CAAD4wQAAUEIAAHBBAAAAwQAAwEEAALhBAAAMwgAAYMEAAJjBAABAwgAAgEEAACDBAACYwgAA4MEAAAxCAACgwAAAAMAAAOjCAABgwgAAWEIAANhBAACgwAAAREIAAKbCAACgwAAANMIAABzCAABQwQAAokIAAKBAAABMwgAAkMEAANBBAABAQQAAhEIAAEDAAAAowgAAEEEAAATCAAC4QQAA6EEAADjCAACYQQAAZEIAAIA_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-EEAAOzCAAAkQgAA4EEAAHDBAABAwAAAEEEAAMDBAACYwQAAKEIAAJhBAADgQAAAHMIAACjCAAAAQAAAXEIAAHBBAACQwQAAqEEAAADCAADgwAAA6MEAAIDBAAAQwQAAuEEAAPhBAACAwAAAgD8AAETCAADKwgAAPMIgADgTQAlIdVABKo8CEAAagAIAALa-AADyvgAAPD4AACS-AAAcPgAAQT8AALi9AAB_vwAAPL4AAJI-AAAkPgAAJL4AAKC8AAAUPgAAPL4AAIi9AACAOwAA2L0AADM_AADaPgAAUT8AACS-AAAHPwAAyL0AAAk_AADgPAAAqj4AAPo-AABwPQAA4DwAAIo-AABAPAAA4j4AAPI-AACovQAAur4AAFC9AACWvgAAe78AAAy-AACIPQAAqD0AAIA7AAAZvwAApj4AANa-AACGPgAA4DwAAI4-AACivgAAkj4AAPq-AACAuwAAyD0AABy-AADYPQAAQT8AADw-AACAOwAA0j4AAPg9AAAQvQAA2D0AAIi9IAA4E0AJSHxQASqPAhABGoACAACIvQAAPD4AADQ-AABhvwAA6L0AAHC9AADCPgAANL4AALg9AADgPAAA2D0AACS-AACIvQAAgr4AAJi9AAAQPQAAor4AAO4-AAA0vgAAyD0AAAQ-AAA8vgAAJL4AAPi9AADovQAABL4AAIq-AAAQPQAARL4AANi9AADoPQAAyD0AABS-AABAPAAAiD0AABC9AAAkPgAAqL0AANK-AACgvAAAQDwAAHA9AACoPQAAgLsAACS-AADIvQAAf78AALo-AACCPgAAXL4AABA9AADIPQAAJD4AAKg9AAAwPQAA6D0AAFC9AABAPAAAgDsAAPi9AAAMvgAArr4AADC9AACaPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=2rbm2VGt5D4","parent-reqid":"1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["87563781173117176"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"1103624039976052259":{"videoId":"1103624039976052259","docid":"12-4-11-ZF35F096B18067FF9","description":"📌 Üslü Sayılar artık gözünü korkutmasın! Bu videoda LGS Matematik müfredatındaki \"Üslü Sayılar\" konusunu kısa, öz ve sınav odaklı şekilde anlatıyorum. Kolay örneklerle, formüllere boğulmadan...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3467789/509044462787dccb98f1fd57ea7b1fba/564x318_1"},"target":"_self","position":"3","reqid":"1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DGHMBg7Y7VQs","linkTemplate":"/video/preview/1103624039976052259?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"LGS Matematik Üslü Sayılar | Kısa ve Kolay Anlatım | Mustafa Hoca ile Özel Ders","related_orig_text":"Mustafa Hoca MATEMAX","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mustafa Hoca MATEMAX\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=GHMBg7Y7VQs\",\"src\":\"serp\",\"rvb\":\"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_E6ECggQkAYAEKyqLARABGniB_QUF-wH_AAP1-gkHCfsC-AAFCvn9_QDsAvsEAAAAAADoCAEDAAAA8_r2DP0AAAAA-_EN-P0AABYE9AD1AAAAAgAD_gIAAADyAvAEAAEAAP4QA_oC_wAADgkBBQAAAAAUCwIO_gAAAA0Q_wIBAAAABOMB_wEAAAAgAC2Il847OBNACUhOUAIqcxAAGmAP_ABSVADPwrsM9_LiJ1TgvNOz68Hs_wPx_8NH1LrvE8IAFgoAM9QG6poAAAAgCgj2DADpf5_ds_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-MEAAGTCAAAgwQAASMIAACjCAACoQQAAyEEAAPjBAAAwQgAAaMIAAFBBAADAwAAAmMEAAGRCAACAQQAAsEEAAGDBAAAYwgAAsMEAABRCAAAQQQAA0EEAAHxCAABwwQAAgsIAAOBBAABkQgAATEIAAIA_AAAAwAAAOMIAAGRCAAAwwQAAgMEAAARCAAAcwgAAQMIAALDBAABQwgAAIEEAAIDAAAAswgAAEEEAABzCAACoQQAAwMEAADjCIAA4E0AJSHVQASqPAhAAGoACAAB0vgAAgDsAAJ4-AAAMPgAALD4AAAs_AACYvQAAX78AAES-AADaPgAA6D0AABy-AACIPQAAPD4AADS-AACavgAAHD4AACS-AADyPgAAKT8AAH8_AADYPQAAnj4AAOA8AADGPgAAuL0AAPg9AAAcPgAAiD0AAIY-AAAEPgAA2D0AAMY-AACuPgAAuL0AAPa-AACovQAAxr4AAP6-AADIPQAANL4AAOC8AAAsPgAAEb8AAFw-AACOvgAAoDwAAAy-AAAEvgAA3r4AADw-AACOvgAAMD0AAIg9AADYPQAAoLwAAG0_AAAkvgAAcD0AAII-AADovQAAgDsAABA9AACmPiAAOBNACUh8UAEqjwIQARqAAgAAiL0AAAQ-AADgPAAAX78AAAy-AADgvAAAVD4AAFC9AACAOwAA4DwAAFC9AABsvgAANL4AAIa-AAC4vQAAoLwAAIa-AAAJPwAADL4AAAw-AADYPQAAJL4AAIi9AAAMvgAAyL0AABA9AACGvgAAML0AAPi9AABQPQAAqD0AAKg9AADIvQAAFL4AAIi9AACIvQAA4DwAAMi9AACqvgAAcD0AAIg9AACYPQAAyD0AADA9AAAEvgAAUL0AAH-_AABEPgAAND4AAPi9AADIPQAAiL0AAAQ-AAAwPQAAXD4AADA9AACAOwAAUD0AABy-AADYvQAAQLwAAPi9AADgvAAAmD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=GHMBg7Y7VQs","parent-reqid":"1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["1103624039976052259"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"13380766865476973932":{"videoId":"13380766865476973932","docid":"12-0-4-Z14B95C6B9E6599AE","description":"📢 Konumuz İstatistik Araştırma Süreci, Sevgili öğrenciler, artık 6. sınıf matematik derslerimize başlıyoruz! 🚀 Bu seride 6. sınıf matematik konularını sıfırdan, adım adım, kolaydan zora hep...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2389903/e1270f6937ea8125ee12bf2515603587/564x318_1"},"target":"_self","position":"5","reqid":"1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=videoid:13380766865476973932","teaser":[{"list":{"type":"unordered","items":["Bu video, Mustafa Hoca tarafından sunulan istatistiksel araştırma süreci konulu bir eğitim dersidir.","Video, istatistiksel araştırma sürecinin temel kavramlarını ele almaktadır. İlk bölümde nicel ve kategorik veri türleri, araştırma sorularının özellikleri ve karşılaştırmalı araştırma soruları incelenirken, ikinci bölümde araştırma planlaması ve veri toplama yöntemleri (yakın çevreden ve resmi kurumlardan sayısal veri toplama) açıklanmaktadır.","Eğitmen, konuları örneklerle pekiştirmekte ve sınavlarda çıkabilecek soru tiplerini göstermektedir. Ayrıca bir sonraki videoda mod, aritmetik ortalama gibi istatistiksel kavramları ve soru tiplerini çözeceğini belirtmektedir."]},"endTime":751,"title":"İstatistiksel Araştırma Süreci Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"İstatistiksel Araştırma Süreci","list":{"type":"unordered","items":["Mustafa hocanın kanalında istatistiksel araştırma süreci konusu işlenecek.","Ders sözel ağırlıklı olup çok fazla işlem içermeyecek, ancak sınavda çıkabileceği için dikkat edilmesi gereken alt başlıklar var."]},"beginTime":0,"endTime":25,"href":"/video/preview/13380766865476973932?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=0&ask_summarization=1"},{"index":1,"title":"Nicel ve Kategorik Veri","list":{"type":"unordered","items":["Kategorik (nitel) veri, sayısal olarak ifade edilemeyen verilerdir (göz rengi, cinsiyet, saç rengi gibi).","Nicel (kesikli) veri, her verinin kendine özgü bir sayısal değeri olan verilerdir (kitap sayısı, öğrenci sayısı, yolcu sayısı gibi).","Araştırma sorularında nicel veriler \"n\" ile, kategorik veriler \"k\" ile gösterilir."]},"beginTime":25,"endTime":210,"href":"/video/preview/13380766865476973932?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=25&ask_summarization=1"},{"index":2,"title":"Araştırma Sorusu Özellikleri","list":{"type":"unordered","items":["Araştırma sorusu net bir amaç içermeli, değişkenlerin belirlenebilir olması gerekir.","Veriler toplanarak cevaplanabilir olmalı ve değişilebilirlik göstermelidir.","İki veya daha fazla veri grubunu karşılaştırmayı gerektiren araştırma sorusu olarak ifade edilir."]},"beginTime":210,"endTime":272,"href":"/video/preview/13380766865476973932?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=210&ask_summarization=1"},{"index":3,"title":"Araştırma Sorusu 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sorusu değildir çünkü bu bilgi sabittir ve herkes tarafından bilinmektedir."]},"beginTime":403,"endTime":623,"href":"/video/preview/13380766865476973932?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=403&ask_summarization=1"},{"index":5,"title":"Araştırma Verilerinin Toplanması","list":{"type":"unordered","items":["Planlama, araştırma sorusuna uygun verilerin nasıl toplanacağı ve analize nasıl alınacağına dair bir plan hazırlamadır.","Araştırma sürecinde veriye ulaşmak için iki seçenek vardır: verileri yakın çevreden edinmek veya resmi kanallardan sayısal veriler çekmek.","Yakın çevreden veri edinme, kurs merkezine gelmeyen öğrencileri araştırmak gibi durumlarda velilere, öğrencilere veya kurs merkezine sorarak 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sınıf matematik özel ders videoma hoş geldiniz! Mustafa Hoca olarak, öğrencilerin matematik başarısını en üst seviyeye taşımak için hazırladığım bu özel ders videosunda konuları en sade ve...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4011709/2270730903de7e8f7cbe616550802c0b/564x318_1"},"target":"_self","position":"6","reqid":"1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=videoid:3524963722583179068","teaser":[{"list":{"type":"unordered","items":["Bu video, 19 yıllık tecrübeye sahip matematik öğretmeni Mustafa Hoca tarafından sunulan kapsamlı bir eğitim içeriğidir. Öğretmen, ilkokuldan liseye kadar her seviyeden öğrencilere birebir destek veren ve LGS, YKS gibi sınavlara hazırlık yapan bir eğitimci olarak kendini tanıtmaktadır.","Video, tam sayılar konusunu para kavramı üzerinden anlatarak başlayıp, tam sayıların sıralanması, toplama, çıkarma, çarpma ve bölme işlemlerini örneklerle açıklamaktadır. Ardından üslü sayılar, tam sayıların kuvvetleri ve işaret kuralları ele alınmakta, son bölümde ise rasyonel sayılar, kesirlerin sayı doğrusu üzerinde gösterilmesi, sadeleştirme işlemleri ve rasyonel sayılarla işlemler detaylı olarak anlatılmaktadır.","Videoda günlük hayattan örnekler (para, kapılar, klima sıcaklığı, soğuk hava depoları, balıkçının tuttuğu balıklar, dart oyunu) kullanılarak konular somutlaştırılmakta ve öğrencilerin sık takıldığı konular vurgulanmaktadır. Öğretmen, özellikle LGS sınavında önemli olan kesirlerle ilgili konuları erken öğrenmeleri gerektiğini belirtmektedir."]},"endTime":2448,"title":"Matematik Dersi: Tam Sayılar ve Rasyonel Sayılar","beginTime":0}],"fullResult":[{"index":0,"title":"Matematik Öğretmeni Mustafa Hoca'nın Tanıtımı","list":{"type":"unordered","items":["Mustafa Hoca, on dokuz yıla yakın süredir matematik öğretmenliği yapıyor ve ilkokuldan liseye kadar her seviyeden öğrenciye birebir destek veriyor.","Hem okul derslerinde başarılı olmaları hem de LGS ve YKS gibi sınavlara güçlü bir şekilde hazırlanmaları için öğrencilerin yanlarında oluyor.","Kendi kızı için nasıl bir eğitim desteği almak istiyorsa, birlikte çalıştığı her öğrenciye de aynı özel ilgi ve sorumlulukla yaklaşıyor."]},"beginTime":0,"endTime":50,"href":"/video/preview/3524963722583179068?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=0&ask_summarization=1"},{"index":1,"title":"Eğitim Koçluğu ve Ders Formatı","list":{"type":"unordered","items":["Mustafa Hoca, yüz yirmi saatlik eğitim koçluğu sertifikasına sahip ve öğrencilerine ders dışında da rehberlik yaparak daha verimli ve motive bir öğrenme süreci sunuyor.","Dersler İstanbul Avrupa yakası'ndaki evlerde yüz yüze gerçekleştirilebilir veya Türkiye'nin her yerinden Zoom üzerinden online olarak yapılabilir.","Videoda, Mustafa Hoca'nın ders anlatım tarzını yakından görmek için bir örnek ders kaydı paylaşılıyor."]},"beginTime":50,"endTime":96,"href":"/video/preview/3524963722583179068?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=50&ask_summarization=1"},{"index":2,"title":"Tam Sayılarla İşlemler","list":{"type":"unordered","items":["İlk soruda, beş balon üzerindeki tam sayılar (eksi iki, yirmiyedi, eksi sekiz, artı bir ve kırksekiz) küçükten büyüğe soldan sağa doğru dizildikten sonra ikinci ve soldan dördüncü balonların üzerindeki tam sayıların toplamı soruluyor.","İkinci soruda, şekil bir ve şekil iki'de altta bulunan üç kutunun içinde yazan tam sayıların toplamı üç kutunun üstünde bulunan kutuya yazılacak şekilde işlemler yapılıyor.","Üçüncü soruda, renkli kapılar üzerindeki işlemlerin sonucu artı dokuz olduğuna göre hangi numaralı kapı yedi a sınıfına ait olduğu soruluyor."]},"beginTime":96,"endTime":381,"href":"/video/preview/3524963722583179068?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=96&ask_summarization=1"},{"index":3,"title":"Tam Sayılarla Çarpma İşlemi","list":{"type":"unordered","items":["Dördüncü soruda, yumurtalar üzerindeki işlemlerin hangisinin sonucu en küçüktür soruluyor ve eksi ile eksi çarpıldığında artı, eksi ile artı çarpıldığında eksi olduğu hatırlatılıyor.","Beşinci soruda, klima eksi oniki derece santigratın altında çalışmamaktadır ve verilen işlemlerin hangisinin sonucuna eşit sıcaklıkta klima çalışmaz soruluyor.","Altıncı soruda, pembe, yeşil, mavi ve mor not kağıtlarındaki tam sayılar toplanıp sonuçları çarpıldığında hangi tam sayı elde edileceği soruluyor."]},"beginTime":381,"endTime":717,"href":"/video/preview/3524963722583179068?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=381&ask_summarization=1"},{"index":4,"title":"Soğuk Hava Depoları Problemi","list":{"type":"unordered","items":["Birinci soğuk hava deposu -15 derece, ikinci soğuk hava deposu -6 derece sıcaklıktadır.","Sıcaklıklar sırasıyla 6 derece ve 4 derece artırıldığında, birinci depo -9 derece, ikinci depo -2 derece olur.","İki sıcaklık değerinin çarpımı 18, bölümü 5 olarak hesaplanır."]},"beginTime":729,"endTime":833,"href":"/video/preview/3524963722583179068?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=729&ask_summarization=1"},{"index":5,"title":"Matematik Problemleri","list":{"type":"unordered","items":["Eksi 45'i eksi 9'a böldüğümüzde sonuç 5 olur.","Eksi 72'yi artı 3'e böldüğümüzde sonuç -24 olur.","Bir balıkçının tuttuğu balıkların deniz yüzeyine göre konumlarının ortalaması -26 derece olarak hesaplanır."]},"beginTime":833,"endTime":950,"href":"/video/preview/3524963722583179068?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=833&ask_summarization=1"},{"index":6,"title":"Üslü Sayılar","list":{"type":"unordered","items":["Bir sayının kendisi ile tekrarlı çarpımının kısa gösterimine üslü sayılar denir.","Parantez içerisindeki sayı negatifse ve üst sayısı çiftse sonuç pozitif olur.","Parantez içerisindeki sayı negatifse ve üst sayısı tekse sonuç negatif kalır."]},"beginTime":950,"endTime":1054,"href":"/video/preview/3524963722583179068?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=950&ask_summarization=1"},{"index":7,"title":"Üslü Sayılar Örnekleri","list":{"type":"unordered","items":["(-4)² = 16, (-5)³ = -125 olarak hesaplanır.","(-3)² = 9, (-3)³ = -27 olarak hesaplanır.","Çarpma işleminin üslü gösterilişi (-3)⁵ olarak yazılır."]},"beginTime":1054,"endTime":1224,"href":"/video/preview/3524963722583179068?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=1054&ask_summarization=1"},{"index":8,"title":"Üslü İfadeler Problemi","list":{"type":"unordered","items":["Çift sayılar sıfırdan başlar ve parantezin içerisinde negatif sayı varsa, çift kuvvet olduğunda sonuç pozitif olur.","Eksi sekiz üzeri sıfır, parantezin dışında çift olmadığı için negatif kalır.","Eksi sekiz'in karesi (64) ile eksi altmış'ın karesi (60) bölündüğünde sonuç eksi bir olur."]},"beginTime":1227,"endTime":1311,"href":"/video/preview/3524963722583179068?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=1227&ask_summarization=1"},{"index":9,"title":"Üslü İfadeler Problemi","list":{"type":"unordered","items":["İki'nin altı kuvveti (64) hesaplanırken, altı tane iki'nin yan yana çarpımı yapılır.","Eksi üçün karesi (eksi dokuz) ile eksi altmış'ın karesi (otuzaltı) bölündüğünde sonuç beş olur."]},"beginTime":1311,"endTime":1415,"href":"/video/preview/3524963722583179068?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=1311&ask_summarization=1"},{"index":10,"title":"Dart Oyunu Problemi","list":{"type":"unordered","items":["Hedef tahtasında beş farklı bölge vardır: beyaz (eksi altı), sarı (eksi on), kırmızı (on iki) ve diğer iki bölge.","Anıl beş adet dart oku ile her bölgeye en az bir ok isabet ettirmiş ve en az puan almak için sarı bölgeye en çok, beyaz bölgeye en az ok atmıştır.","Anıl en az eksi yirmi dört puan almıştır, en çok ise yirmi puan almıştır."]},"beginTime":1415,"endTime":1543,"href":"/video/preview/3524963722583179068?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=1415&ask_summarization=1"},{"index":11,"title":"Rasyonel Sayılar Problemi","list":{"type":"unordered","items":["Basit kesir, payı paydasından küçük olan kesirlerdir (örneğin 2/5, 3/7).","Basit kesirler sayı doğrusunda sıfır ile bir arasında yer alır.","Negatif basit kesirler ise sayı doğrusunda sıfırın solunda yer 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İçerikte açılar (dar açı, dik açı, geniş açı, tam açı), çemberler, yarıçap ve çap kavramları, kesişen doğrular, paralel doğrular, üçgenler (ikizkenar, eşkenar, çeşitkenar) ve çokgenler gibi temel geometri konuları adım adım anlatılmaktadır. Öğretmen, her bir konuyu örneklerle açıklamakta ve sınavlarda sıkça sorulan soru tiplerini çözmektedir.","Videoda ayrıca çemberlerin kesişimi sonucu oluşan üçgenlerin türlerini gösteren şekilleri ezberlemenin önemi vurgulanmakta ve bunların çıktısını alıp asılması gerektiği belirtilmektedir. Üçgenin iç açıları toplamının 180 derece olduğu bilgisi de paylaşılmaktadır."]},"endTime":2591,"title":"5. 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alarak tamamen onlara özel bir planlama yapıyor.","Yüz yirmi saatlik eğitim koçluğu sertifikası sayesinde sadece ders anlatmıyor, öğrencilerin öğrenme sürecine rehberlik ediyor ve ihtiyaçlarına uygun çözümler sunuyor.","Dersler İstanbul Avrupa yakasında öğrencinin evinde birebir gerçekleştirilebilir veya Türkiye'nin her yerinden Zoom üzerinden yapılabilir."]},"beginTime":52,"endTime":133,"href":"/video/preview/2526258362422414031?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=52&ask_summarization=1"},{"index":2,"title":"Açılarla İlgili Sorular","list":{"type":"unordered","items":["PRS açısına ait olabilecek çizim, açı kısmının ortada R harfi olması gereken bir çizimdir.","Verilen şekilde AFG, HEG ve FGH açıları bulunurken, FEG açısı yoktur çünkü G ile H arasında bağlantı yoktur.","AB ve CD doğruları E noktasında kesiştiğinde, CAE açısı renklerle belirtilmiş bir açıyı temsil etmez çünkü ortadaki nokta iki doğrunun kesişim yeri olmalıdır."]},"beginTime":133,"endTime":347,"href":"/video/preview/2526258362422414031?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=133&ask_summarization=1"},{"index":3,"title":"Çemberlerle İlgili Sorular","list":{"type":"unordered","items":["Pergellerin uç noktaları arasındaki açıklıklar her zaman çemberdeki yarıçapı gösterir.","A pergelinin yarıçapı 6 santim, çapı 12 santim; B pergelinin yarıçapı 8 santim, çapı 16 santim; C pergelinin yarıçapı 11 santim, çapı 22 santimdir.","O noktasından 7 santim uzaklıkta olan mavi nokta, 9 santim uzaklıkta olan B noktası, 13 santim uzaklıkta olan A noktası ve 14 santim uzaklıkta olan C noktası verilmiştir."]},"beginTime":347,"endTime":575,"href":"/video/preview/2526258362422414031?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=347&ask_summarization=1"},{"index":4,"title":"Çember ve Kare 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KLM üçgenini oluşturan doğru parçalarının uzunlukları toplamı 12 cm'dir."]},"beginTime":694,"endTime":891,"href":"/video/preview/2526258362422414031?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=694&ask_summarization=1"},{"index":6,"title":"Dikdörtgen ve Pergel Problemleri","list":{"type":"unordered","items":["Dikdörtgenin içine kenarlarına ve birbirine tek noktada değen özdeş altı daire çizildiğinde, O merkezi dairenin merkezindeki karınca B merkezi çemberin merkezine ulaşırken, O-B arasındaki uzaklık 36 cm'dir.","Pergelin kalemli ucu ve iğneli ucu santimetre cinsinden eşit bölümlendirilmiş bir cetvelde 3 ve 8 sayılarının üzerine gelecek biçimde konumlandırıldığında, pergelin açıklığı 5 cm'dir ve çizilen şeklin çap uzunluğu 10 cm'dir.","Dikdörtgen kartonun hem uzun hem kısa kenarları eş parçalara bölündüğünde, DE doğru parçalarına eşit uzunlukta bir doğru parçası çizmek isteyen asal her noktası ile K, M, N 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noktada kesişmeyen doğrulara paralel doğrular denir.","Aynı düzlemde bütün noktaları kesişen doğrulara çakışık doğrular denir."]},"beginTime":1460,"endTime":1560,"href":"/video/preview/2526258362422414031?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=1460&ask_summarization=1"},{"index":10,"title":"Komşu Açılar","list":{"type":"unordered","items":["Köşeleri ve birer ışınları ortak olan açılara komşu açılar denir.","Komşu açılar yan yana olmalıdır, üst kat veya alt kat gibi kavramlar açılar konusunda geçerli değildir."]},"beginTime":1560,"endTime":1670,"href":"/video/preview/2526258362422414031?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=1560&ask_summarization=1"},{"index":11,"title":"Ters Açılar ve Üçgen Açıları","list":{"type":"unordered","items":["Kesişen iki doğru arasındaki zıt yöne bakan açılara ters açılar denir.","Üç doğrunun ikişer ikişer kesişmesi sonucu oluşan kapalı bölgedeki üç açının toplamı 180 derecedir."]},"beginTime":1670,"endTime":1773,"href":"/video/preview/2526258362422414031?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=1670&ask_summarization=1"},{"index":12,"title":"Tümler ve Bütünler Açılar","list":{"type":"unordered","items":["Ölçülerinin toplamı 90 derece olan iki açıya tümler açı denir.","Hem komşu hem de tümleri olan iki açıya komşu tümler açılar denir.","Birbirini 180 dereceye tamamlayan açılara bütünler açı denir."]},"beginTime":1773,"endTime":1988,"href":"/video/preview/2526258362422414031?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=1773&ask_summarization=1"},{"index":13,"title":"Açılar ve Çokgenler","list":{"type":"unordered","items":["Doğru açılar 180 derece, dik açılar 90 derece olup, yeşil renk ile belirtilen açının tümleri 40 derecedir.","Çokgen olması için iki'den çok kenarı olması gerekir; verilen şekillerden üç tanesi çokgendir.","Beşgenin yedi köşesi yoktur, beş köşesi vardır."]},"beginTime":1992,"endTime":2108,"href":"/video/preview/2526258362422414031?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=1992&ask_summarization=1"},{"index":14,"title":"Üçgenlerde Açı Hesaplamaları","list":{"type":"unordered","items":["Üçgenin iç açıları toplamı 180 derecedir.","İkizkenar üçgende eşit kenarların karşısındaki açılar eşittir.","İkizkenar üçgende herhangi iki kenarının birbirine eşit olması gerekir."]},"beginTime":2108,"endTime":2294,"href":"/video/preview/2526258362422414031?parent-reqid=1769859623255238-8652869401503612249-balancer-l7leveler-kubr-yp-vla-203-BAL&text=Mustafa+Hoca+MATEMAX&t=2108&ask_summarization=1"},{"index":15,"title":"Çemberler ve Üçgen İnşası","list":{"type":"unordered","items":["Çemberler kesiştiğinde oluşan üçgenlerin tipleri: iki çemberin 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