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  1. README.md +66 -0
  2. config.json +146 -0
  3. pytorch_model.bin +3 -0
  4. special_tokens_map.json +37 -0
  5. tokenizer.json +0 -0
  6. tokenizer_config.json +63 -0
  7. vocab.txt +0 -0
README.md ADDED
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+ ---
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+ language: tr
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+ library_name: transformers
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+ license: mit
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+ tags:
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+ - text-classification
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+ - bert
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+ - turkish
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+ ---
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+
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+ # BERT Din Kültürü Modeli (PyTorch)
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+ Bu model, TensorFlow tabanlı `bert_din_kulturu_6` modelinin PyTorch formatına dönüştürülmüş versiyonudur.
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+
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+ ## Model Performansı
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+ Bu model, `dbmdz/bert-base-turkish-cased` modelinin `bert_din_kulturu_6` verisiyle eğitilmiş halidir.
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+ Aşağıdaki sonuçları elde etmiştir:
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+
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+ - **Train Loss:** 0.2283
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+ - **Train Accuracy:** 0.9475
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+ - **Validation Loss:** 0.1557
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+ - **Validation Accuracy:** 0.9614
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+ - **Epochs:** 11
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+
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+ ## Kullanım
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+ Hugging Face `transformers` kütüphanesi ile kolayca kullanabilirsiniz:
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+ ```python
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+ from transformers import AutoModelForSequenceClassification, AutoTokenizer
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+
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+ tokenizer = AutoTokenizer.from_pretrained("umutarpayy/bert_din_kulturu_6-pytorch")
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+ model = AutoModelForSequenceClassification.from_pretrained("umutarpayy/bert_din_kulturu_6-pytorch")
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+ ```
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+
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+ ## Eğitim Verisi
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+ Bu model, özel bir veri seti ile eğitilmiştir. Detaylar aşağıdadır:
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+
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+ | Train Loss | Train Accuracy | Validation Loss | Validation Accuracy | Epoch |
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+ |------------|---------------|----------------|----------------------|-------|
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+ | 3.0220 | 0.2760 | 1.7334 | 0.5717 | 0 |
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+ | 1.5144 | 0.5985 | 1.1455 | 0.6699 | 1 |
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+ | 1.1069 | 0.6872 | 0.8943 | 0.7295 | 2 |
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+ | 0.8911 | 0.7434 | 0.6902 | 0.7931 | 3 |
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+ | 0.7160 | 0.7937 | 0.5481 | 0.8486 | 4 |
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+ | 0.5892 | 0.8327 | 0.4402 | 0.8744 | 5 |
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+ | 0.4838 | 0.8665 | 0.3478 | 0.9010 | 6 |
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+ | 0.4034 | 0.8944 | 0.2653 | 0.9300 | 7 |
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+ | 0.3421 | 0.9069 | 0.2125 | 0.9436 | 8 |
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+ | 0.2890 | 0.9263 | 0.1814 | 0.9549 | 9 |
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+ | 0.2487 | 0.9384 | 0.1629 | 0.9589 | 10 |
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+ | 0.2283 | 0.9475 | 0.1557 | 0.9614 | 11 |
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+
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+ ## Eğitim Yöntemi ve Parametreler
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+ - **Optimizer:** Adam
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+ - **Learning Rate:** 2e-5 (Polynomial Decay)
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+ - **Beta1:** 0.9
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+ - **Beta2:** 0.999
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+ - **Epsilon:** 1e-8
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+ - **Training Precision:** float32
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+
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+ ## Framework Sürümleri
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+ - **Transformers:** 4.47.1
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+ - **TensorFlow:** 2.17.1
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+ - **Datasets:** 3.2.0
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+ - **Tokenizers:** 0.21.0
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+
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+ ## Lisans
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+ Bu model, MIT lisansına tabidir.
config.json ADDED
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+ {
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+ "_name_or_path": "umutarpayy/bert_matematik_6",
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+ "architectures": [
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+ "BertForSequenceClassification"
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+ ],
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+ "attention_probs_dropout_prob": 0.1,
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+ "classifier_dropout": null,
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+ "hidden_act": "gelu",
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+ "hidden_dropout_prob": 0.1,
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+ "hidden_size": 768,
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+ "id2label": {
12
+ "0": "M.6.1.1.1. Bir do\u011fal say\u0131n\u0131n kendisiyle tekrarl\u0131 \u00e7arp\u0131m\u0131n\u0131 \u00fcsl\u00fc ifade olarak yazar ve de\u011ferini hesaplar.",
13
+ "1": "M.6.1.1.2. \u0130\u015flem \u00f6nceli\u011fini dikkate alarak do\u011fal say\u0131larla d\u00f6rt i\u015flem yapar.",
14
+ "2": "M.6.1.1.3. Do\u011fal say\u0131larda ortak \u00e7arpan parantezine alma ve da\u011f\u0131lma \u00f6zelli\u011fini uygulamaya y\u00f6nelik i\u015flemler yapar.",
15
+ "3": "M.6.1.1.4. Do\u011fal say\u0131larla d\u00f6rt i\u015flem yapmay\u0131 gerektiren problemleri \u00e7\u00f6zer ve kurar.",
16
+ "4": "M.6.1.2.1. Do\u011fal say\u0131lar\u0131n \u00e7arpanlar\u0131n\u0131 ve katlar\u0131n\u0131 belirler.",
17
+ "5": "M.6.1.2.2. 2, 3, 4, 5, 6, 9 ve 10\u2019a kalans\u0131z b\u00f6l\u00fcnebilme kurallar\u0131n\u0131 a\u00e7\u0131klar ve kullan\u0131r.",
18
+ "6": "M.6.1.2.3. Asal say\u0131lar\u0131 \u00f6zellikleriyle belirler.",
19
+ "7": "M.6.1.2.4. Do\u011fal say\u0131lar\u0131n asal \u00e7arpanlar\u0131n\u0131 belirler.",
20
+ "8": "M.6.1.2.5. \u0130ki do\u011fal say\u0131n\u0131n ortak b\u00f6lenleri ile ortak katlar\u0131n\u0131 belirler, ilgili problemleri \u00e7\u00f6zer.",
21
+ "9": "M.6.1.3.1. K\u00fcmeler ile ilgili temel kavramlar\u0131 anlar.",
22
+ "10": "M.6.1.4.1. Tam say\u0131lar\u0131 tan\u0131r ve say\u0131 do\u011frusunda g\u00f6sterir.",
23
+ "11": "M.6.1.4.2. Tam say\u0131lar\u0131 kar\u015f\u0131la\u015ft\u0131r\u0131r ve s\u0131ralar.",
24
+ "12": "M.6.1.4.3. Bir tam say\u0131n\u0131n mutlak de\u011ferini belirler ve anlamland\u0131r\u0131r.",
25
+ "13": "M.6.1.5.1. Kesirleri kar\u015f\u0131la\u015ft\u0131r\u0131r, s\u0131ralar ve say\u0131 do\u011frusunda g\u00f6sterir.",
26
+ "14": "M.6.1.5.2. Kesirlerle toplama ve \u00e7\u0131karma i\u015flemlerini yapar.",
27
+ "15": "M.6.1.5.3. Bir do\u011fal say\u0131 ile bir kesrin \u00e7arpma i\u015flemini yapar ve anlamland\u0131r\u0131r.",
28
+ "16": "M.6.1.5.4. \u0130ki kesrin \u00e7arpma i\u015flemini yapar ve anlamland\u0131r\u0131r.",
29
+ "17": "M.6.1.5.5. Bir do\u011fal say\u0131y\u0131 bir kesre ve bir kesri bir do\u011fal say\u0131ya b\u00f6ler, bu i\u015flemi anlamland\u0131r\u0131r.",
30
+ "18": "M.6.1.5.6. \u0130ki kesrin b\u00f6lme i\u015flemini yapar ve anlamland\u0131r\u0131r.",
31
+ "19": "M.6.1.5.7. Kesirlerle yap\u0131lan i\u015flemlerin sonucunu tahmin eder.",
32
+ "20": "M.6.1.5.8. Kesirlerle i\u015flem yapmay\u0131 gerektiren problemleri \u00e7\u00f6zer.",
33
+ "21": "M.6.1.6.1. B\u00f6lme i\u015flemi ile kesir kavram\u0131n\u0131 ili\u015fkilendirir.",
34
+ "22": "M.6.1.6.2. Ondal\u0131k g\u00f6sterimleri verilen say\u0131lar\u0131 \u00e7\u00f6z\u00fcmler.",
35
+ "23": "M.6.1.6.3. Ondal\u0131k g\u00f6sterimleri verilen say\u0131lar\u0131 belirli bir basama\u011fa kadar yuvarlar.",
36
+ "24": "M.6.1.6.4. Ondal\u0131k g\u00f6sterimleri verilen say\u0131larla \u00e7arpma i\u015flemi yapar.",
37
+ "25": "M.6.1.6.5. Ondal\u0131k g\u00f6sterimleri verilen say\u0131larla b\u00f6lme i\u015flemi yapar.",
38
+ "26": "M.6.1.6.6. Ondal\u0131k g\u00f6sterimleri verilen say\u0131larla; 10, 100 ve 1000 ile k\u0131sa yoldan \u00e7arpma ve b\u00f6lme i\u015flemlerini yapar.",
39
+ "27": "M.6.1.6.7. Say\u0131lar\u0131n ondal\u0131k g\u00f6sterimleriyle yap\u0131lan i\u015flemlerin sonucunu tahmin eder.",
40
+ "28": "M.6.1.6.8. Ondal\u0131k ifadelerle d\u00f6rt i\u015flem yapmay\u0131 gerektiren problemleri \u00e7\u00f6zer.",
41
+ "29": "M.6.1.7.1. \u00c7okluklar\u0131 kar\u015f\u0131la\u015ft\u0131rmada oran kullan\u0131r ve oran\u0131 farkl\u0131 bi\u00e7imlerde g\u00f6sterir.",
42
+ "30": "M.6.1.7.2. Bir b\u00fct\u00fcn\u00fcn iki par\u00e7aya ayr\u0131ld\u0131\u011f\u0131 durumlarda iki par\u00e7an\u0131n birbirine veya her bir par\u00e7an\u0131n b\u00fct\u00fcne oran\u0131n\u0131 belirler, problem durumlar\u0131nda oranlardan biri verildi\u011finde di\u011ferini bulur.",
43
+ "31": "M.6.1.7.3. Ayn\u0131 veya farkl\u0131 birimlerdeki iki \u00e7oklu\u011fun birbirine oran\u0131n\u0131 belirler.",
44
+ "32": "M.6.2.1.1. S\u00f6zel olarak verilen bir duruma uygun cebirsel ifade ve verilen bir cebirsel ifadeye uygun s\u00f6zel bir durum yazar.",
45
+ "33": "M.6.2.1.2. Cebirsel ifadenin de\u011ferini de\u011fi\u015fkenin alaca\u011f\u0131 farkl\u0131 do\u011fal say\u0131 de\u011ferleri i\u00e7in hesaplar.",
46
+ "34": "M.6.2.1.3. Basit cebirsel ifadelerin anlam\u0131n\u0131 a\u00e7\u0131klar.",
47
+ "35": "M.6.3.1.1. A\u00e7\u0131y\u0131 ba\u015flang\u0131\u00e7 noktalar\u0131 ayn\u0131 olan iki \u0131\u015f\u0131n\u0131n olu\u015fturdu\u011fu \u015fekil olarak tan\u0131r ve sembolle g\u00f6sterir.",
48
+ "36": "M.6.3.1.2. Bir a\u00e7\u0131ya e\u015f bir a\u00e7\u0131 \u00e7izer.",
49
+ "37": "M.6.3.1.3. Kom\u015fu, t\u00fcmler, b\u00fct\u00fcnler ve ters a\u00e7\u0131lar\u0131n \u00f6zelliklerini ke\u015ffeder; ilgili problemleri \u00e7\u00f6zer.",
50
+ "38": "M.6.3.2.1. \u00dc\u00e7genin alan ba\u011f\u0131nt\u0131s\u0131n\u0131 olu\u015fturur, ilgili problemleri \u00e7\u00f6zer.",
51
+ "39": "M.6.3.2.2. Paralelkenar\u0131n alan ba\u011f\u0131nt\u0131s\u0131n\u0131 olu\u015fturur, ilgili problemleri \u00e7\u00f6zer.",
52
+ "40": "M.6.3.2.3. Alan \u00f6l\u00e7me birimlerini tan\u0131r, m\u00b2\u2013km\u00b2, m\u00b2\u2013cm\u00b2\u2013mm\u00b2 birimlerini birbirine d\u00f6n\u00fc\u015ft\u00fcr\u00fcr.",
53
+ "41": "M.6.3.2.4. Arazi \u00f6l\u00e7me birimlerini tan\u0131r ve standart alan \u00f6l\u00e7me birimleriyle ili\u015fkilendirir.",
54
+ "42": "M.6.3.2.5. Alan ile ilgili problemleri \u00e7\u00f6zer.",
55
+ "43": "M.6.3.3.1. \u00c7ember \u00e7izerek merkezini, yar\u0131\u00e7ap\u0131n\u0131 ve \u00e7ap\u0131n\u0131 tan\u0131r.",
56
+ "44": "M.6.3.3.2. Bir \u00e7emberin uzunlu\u011funun \u00e7ap\u0131na oran\u0131n\u0131n sabit bir de\u011fer oldu\u011funu \u00f6l\u00e7me yaparak belirler.",
57
+ "45": "M.6.3.3.3. \u00c7ap\u0131 veya yar\u0131\u00e7ap\u0131 verilen bir \u00e7emberin uzunlu\u011funu hesaplamay\u0131 gerektiren problemleri \u00e7\u00f6zer.",
58
+ "46": "M.6.3.4.1. Dikd\u00f6rtgenler prizmas\u0131n\u0131n i\u00e7ine bo\u015fluk kalmayacak bi\u00e7imde yerle\u015ftirilen birimk\u00fcp say\u0131s\u0131n\u0131n o cismin hacmi oldu\u011funu anlar, verilen cismin hacmini birimk\u00fcpleri sayarak hesaplar.",
59
+ "47": "M.6.3.4.2. Verilen bir hacim \u00f6l\u00e7\u00fcs\u00fcne sahip farkl\u0131 dikd\u00f6rtgenler prizmalar\u0131n\u0131 birimk\u00fcplerle olu\u015fturur, hacmin taban alan\u0131 ile y\u00fcksekli\u011fin \u00e7arp\u0131m\u0131 oldu\u011funu gerek\u00e7esiyle a\u00e7\u0131klar.",
60
+ "48": "M.6.3.4.3. Standart hacim \u00f6l\u00e7me birimlerini tan\u0131r ve cm\u00b3, dm\u00b3, m\u00b3 birimleri aras\u0131nda d\u00f6n\u00fc\u015f\u00fcm yapar.",
61
+ "49": "M.6.3.4.4. Dikd\u00f6rtgenler prizmas\u0131n\u0131n hacim ba\u011f\u0131nt\u0131s\u0131n\u0131 olu\u015fturur, ilgili problemleri \u00e7\u00f6zer.",
62
+ "50": "M.6.3.4.5. Dikd\u00f6rtgenler prizmas\u0131n\u0131n hacmini tahmin eder.",
63
+ "51": "M.6.3.5.1. S\u0131v\u0131 \u00f6l\u00e7me birimlerini tan\u0131r ve birbirine d\u00f6n\u00fc\u015ft\u00fcr\u00fcr.",
64
+ "52": "M.6.3.5.2. S\u0131v\u0131 \u00f6l\u00e7me birimlerini hacim \u00f6l\u00e7me birimleri ile ili\u015fkilendirir.",
65
+ "53": "M.6.3.5.3. S\u0131v\u0131 \u00f6l\u00e7me birimleriyle ilgili problemler \u00e7\u00f6zer.",
66
+ "54": "M.6.4.1.1. \u0130ki veri grubunu kar\u015f\u0131la\u015ft\u0131rmay\u0131 gerektiren ara\u015ft\u0131rma sorular\u0131 olu\u015fturur ve uygun verileri elde eder.",
67
+ "55": "M.6.4.1.2. \u0130ki gruba ait verileri ikili s\u0131kl\u0131k tablosu ve s\u00fctun grafi\u011fi ile g\u00f6sterir.",
68
+ "56": "M.6.4.2.1. Bir veri grubuna ait a\u00e7\u0131kl\u0131\u011f\u0131 hesaplar ve yorumlar.",
69
+ "57": "M.6.4.2.2. Bir veri grubuna ait aritmetik ortalamay\u0131 hesaplar ve yorumlar.",
70
+ "58": "M.6.4.2.3. \u0130ki gruba ait verileri kar\u015f\u0131la\u015ft\u0131rmada ve yorumlamada aritmetik ortalama ve a\u00e7\u0131kl\u0131\u011f\u0131 kullan\u0131r."
71
+ },
72
+ "initializer_range": 0.02,
73
+ "intermediate_size": 3072,
74
+ "label2id": {
75
+ "M.6.1.1.1. Bir do\u011fal say\u0131n\u0131n kendisiyle tekrarl\u0131 \u00e7arp\u0131m\u0131n\u0131 \u00fcsl\u00fc ifade olarak yazar ve de\u011ferini hesaplar.": 0,
76
+ "M.6.1.1.2. \u0130\u015flem \u00f6nceli\u011fini dikkate alarak do\u011fal say\u0131larla d\u00f6rt i\u015flem yapar.": 1,
77
+ "M.6.1.1.3. Do\u011fal say\u0131larda ortak \u00e7arpan parantezine alma ve da\u011f\u0131lma \u00f6zelli\u011fini uygulamaya y\u00f6nelik i\u015flemler yapar.": 2,
78
+ "M.6.1.1.4. Do\u011fal say\u0131larla d\u00f6rt i\u015flem yapmay\u0131 gerektiren problemleri \u00e7\u00f6zer ve kurar.": 3,
79
+ "M.6.1.2.1. Do\u011fal say\u0131lar\u0131n \u00e7arpanlar\u0131n\u0131 ve katlar\u0131n\u0131 belirler.": 4,
80
+ "M.6.1.2.2. 2, 3, 4, 5, 6, 9 ve 10\u2019a kalans\u0131z b\u00f6l\u00fcnebilme kurallar\u0131n\u0131 a\u00e7\u0131klar ve kullan\u0131r.": 5,
81
+ "M.6.1.2.3. Asal say\u0131lar\u0131 \u00f6zellikleriyle belirler.": 6,
82
+ "M.6.1.2.4. Do\u011fal say\u0131lar\u0131n asal \u00e7arpanlar\u0131n\u0131 belirler.": 7,
83
+ "M.6.1.2.5. \u0130ki do\u011fal say\u0131n\u0131n ortak b\u00f6lenleri ile ortak katlar\u0131n\u0131 belirler, ilgili problemleri \u00e7\u00f6zer.": 8,
84
+ "M.6.1.3.1. K\u00fcmeler ile ilgili temel kavramlar\u0131 anlar.": 9,
85
+ "M.6.1.4.1. Tam say\u0131lar\u0131 tan\u0131r ve say\u0131 do\u011frusunda g\u00f6sterir.": 10,
86
+ "M.6.1.4.2. Tam say\u0131lar\u0131 kar\u015f\u0131la\u015ft\u0131r\u0131r ve s\u0131ralar.": 11,
87
+ "M.6.1.4.3. Bir tam say\u0131n\u0131n mutlak de\u011ferini belirler ve anlamland\u0131r\u0131r.": 12,
88
+ "M.6.1.5.1. Kesirleri kar\u015f\u0131la\u015ft\u0131r\u0131r, s\u0131ralar ve say\u0131 do\u011frusunda g\u00f6sterir.": 13,
89
+ "M.6.1.5.2. Kesirlerle toplama ve \u00e7\u0131karma i\u015flemlerini yapar.": 14,
90
+ "M.6.1.5.3. Bir do\u011fal say\u0131 ile bir kesrin \u00e7arpma i\u015flemini yapar ve anlamland\u0131r\u0131r.": 15,
91
+ "M.6.1.5.4. \u0130ki kesrin \u00e7arpma i\u015flemini yapar ve anlamland\u0131r\u0131r.": 16,
92
+ "M.6.1.5.5. Bir do\u011fal say\u0131y\u0131 bir kesre ve bir kesri bir do\u011fal say\u0131ya b\u00f6ler, bu i\u015flemi anlamland\u0131r\u0131r.": 17,
93
+ "M.6.1.5.6. \u0130ki kesrin b\u00f6lme i\u015flemini yapar ve anlamland\u0131r\u0131r.": 18,
94
+ "M.6.1.5.7. Kesirlerle yap\u0131lan i\u015flemlerin sonucunu tahmin eder.": 19,
95
+ "M.6.1.5.8. Kesirlerle i\u015flem yapmay\u0131 gerektiren problemleri \u00e7\u00f6zer.": 20,
96
+ "M.6.1.6.1. B\u00f6lme i\u015flemi ile kesir kavram\u0131n\u0131 ili\u015fkilendirir.": 21,
97
+ "M.6.1.6.2. Ondal\u0131k g\u00f6sterimleri verilen say\u0131lar\u0131 \u00e7\u00f6z\u00fcmler.": 22,
98
+ "M.6.1.6.3. Ondal\u0131k g\u00f6sterimleri verilen say\u0131lar\u0131 belirli bir basama\u011fa kadar yuvarlar.": 23,
99
+ "M.6.1.6.4. Ondal\u0131k g\u00f6sterimleri verilen say\u0131larla \u00e7arpma i\u015flemi yapar.": 24,
100
+ "M.6.1.6.5. Ondal\u0131k g\u00f6sterimleri verilen say\u0131larla b\u00f6lme i\u015flemi yapar.": 25,
101
+ "M.6.1.6.6. Ondal\u0131k g\u00f6sterimleri verilen say\u0131larla; 10, 100 ve 1000 ile k\u0131sa yoldan \u00e7arpma ve b\u00f6lme i\u015flemlerini yapar.": 26,
102
+ "M.6.1.6.7. Say\u0131lar\u0131n ondal\u0131k g\u00f6sterimleriyle yap\u0131lan i\u015flemlerin sonucunu tahmin eder.": 27,
103
+ "M.6.1.6.8. Ondal\u0131k ifadelerle d\u00f6rt i\u015flem yapmay\u0131 gerektiren problemleri \u00e7\u00f6zer.": 28,
104
+ "M.6.1.7.1. \u00c7okluklar\u0131 kar\u015f\u0131la\u015ft\u0131rmada oran kullan\u0131r ve oran\u0131 farkl\u0131 bi\u00e7imlerde g\u00f6sterir.": 29,
105
+ "M.6.1.7.2. Bir b\u00fct\u00fcn\u00fcn iki par\u00e7aya ayr\u0131ld\u0131\u011f\u0131 durumlarda iki par\u00e7an\u0131n birbirine veya her bir par\u00e7an\u0131n b\u00fct\u00fcne oran\u0131n\u0131 belirler, problem durumlar\u0131nda oranlardan biri verildi\u011finde di\u011ferini bulur.": 30,
106
+ "M.6.1.7.3. Ayn\u0131 veya farkl\u0131 birimlerdeki iki \u00e7oklu\u011fun birbirine oran\u0131n\u0131 belirler.": 31,
107
+ "M.6.2.1.1. S\u00f6zel olarak verilen bir duruma uygun cebirsel ifade ve verilen bir cebirsel ifadeye uygun s\u00f6zel bir durum yazar.": 32,
108
+ "M.6.2.1.2. Cebirsel ifadenin de\u011ferini de\u011fi\u015fkenin alaca\u011f\u0131 farkl\u0131 do\u011fal say\u0131 de\u011ferleri i\u00e7in hesaplar.": 33,
109
+ "M.6.2.1.3. Basit cebirsel ifadelerin anlam\u0131n\u0131 a\u00e7\u0131klar.": 34,
110
+ "M.6.3.1.1. A\u00e7\u0131y\u0131 ba\u015flang\u0131\u00e7 noktalar\u0131 ayn\u0131 olan iki \u0131\u015f\u0131n\u0131n olu\u015fturdu\u011fu \u015fekil olarak tan\u0131r ve sembolle g\u00f6sterir.": 35,
111
+ "M.6.3.1.2. Bir a\u00e7\u0131ya e\u015f bir a\u00e7\u0131 \u00e7izer.": 36,
112
+ "M.6.3.1.3. Kom\u015fu, t\u00fcmler, b\u00fct\u00fcnler ve ters a\u00e7\u0131lar\u0131n \u00f6zelliklerini ke\u015ffeder; ilgili problemleri \u00e7\u00f6zer.": 37,
113
+ "M.6.3.2.1. \u00dc\u00e7genin alan ba\u011f\u0131nt\u0131s\u0131n\u0131 olu\u015fturur, ilgili problemleri \u00e7\u00f6zer.": 38,
114
+ "M.6.3.2.2. Paralelkenar\u0131n alan ba\u011f\u0131nt\u0131s\u0131n\u0131 olu\u015fturur, ilgili problemleri \u00e7\u00f6zer.": 39,
115
+ "M.6.3.2.3. Alan \u00f6l\u00e7me birimlerini tan\u0131r, m\u00b2\u2013km\u00b2, m\u00b2\u2013cm\u00b2\u2013mm\u00b2 birimlerini birbirine d\u00f6n\u00fc\u015ft\u00fcr\u00fcr.": 40,
116
+ "M.6.3.2.4. Arazi \u00f6l\u00e7me birimlerini tan\u0131r ve standart alan \u00f6l\u00e7me birimleriyle ili\u015fkilendirir.": 41,
117
+ "M.6.3.2.5. Alan ile ilgili problemleri \u00e7\u00f6zer.": 42,
118
+ "M.6.3.3.1. \u00c7ember \u00e7izerek merkezini, yar\u0131\u00e7ap\u0131n\u0131 ve \u00e7ap\u0131n\u0131 tan\u0131r.": 43,
119
+ "M.6.3.3.2. Bir \u00e7emberin uzunlu\u011funun \u00e7ap\u0131na oran\u0131n\u0131n sabit bir de\u011fer oldu\u011funu \u00f6l\u00e7me yaparak belirler.": 44,
120
+ "M.6.3.3.3. \u00c7ap\u0131 veya yar\u0131\u00e7ap\u0131 verilen bir \u00e7emberin uzunlu\u011funu hesaplamay\u0131 gerektiren problemleri \u00e7\u00f6zer.": 45,
121
+ "M.6.3.4.1. Dikd\u00f6rtgenler prizmas\u0131n\u0131n i\u00e7ine bo\u015fluk kalmayacak bi\u00e7imde yerle\u015ftirilen birimk\u00fcp say\u0131s\u0131n\u0131n o cismin hacmi oldu\u011funu anlar, verilen cismin hacmini birimk\u00fcpleri sayarak hesaplar.": 46,
122
+ "M.6.3.4.2. Verilen bir hacim \u00f6l\u00e7\u00fcs\u00fcne sahip farkl\u0131 dikd\u00f6rtgenler prizmalar\u0131n\u0131 birimk\u00fcplerle olu\u015fturur, hacmin taban alan\u0131 ile y\u00fcksekli\u011fin \u00e7arp\u0131m\u0131 oldu\u011funu gerek\u00e7esiyle a\u00e7\u0131klar.": 47,
123
+ "M.6.3.4.3. Standart hacim \u00f6l\u00e7me birimlerini tan\u0131r ve cm\u00b3, dm\u00b3, m\u00b3 birimleri aras\u0131nda d\u00f6n\u00fc\u015f\u00fcm yapar.": 48,
124
+ "M.6.3.4.4. Dikd\u00f6rtgenler prizmas\u0131n\u0131n hacim ba\u011f\u0131nt\u0131s\u0131n\u0131 olu\u015fturur, ilgili problemleri \u00e7\u00f6zer.": 49,
125
+ "M.6.3.4.5. Dikd\u00f6rtgenler prizmas\u0131n\u0131n hacmini tahmin eder.": 50,
126
+ "M.6.3.5.1. S\u0131v\u0131 \u00f6l\u00e7me birimlerini tan\u0131r ve birbirine d\u00f6n\u00fc\u015ft\u00fcr\u00fcr.": 51,
127
+ "M.6.3.5.2. S\u0131v\u0131 \u00f6l\u00e7me birimlerini hacim \u00f6l\u00e7me birimleri ile ili\u015fkilendirir.": 52,
128
+ "M.6.3.5.3. S\u0131v\u0131 \u00f6l\u00e7me birimleriyle ilgili problemler \u00e7\u00f6zer.": 53,
129
+ "M.6.4.1.1. \u0130ki veri grubunu kar\u015f\u0131la\u015ft\u0131rmay\u0131 gerektiren ara\u015ft\u0131rma sorular\u0131 olu\u015fturur ve uygun verileri elde eder.": 54,
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+ "M.6.4.1.2. \u0130ki gruba ait verileri ikili s\u0131kl\u0131k tablosu ve s\u00fctun grafi\u011fi ile g\u00f6sterir.": 55,
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+ "M.6.4.2.1. Bir veri grubuna ait a\u00e7\u0131kl\u0131\u011f\u0131 hesaplar ve yorumlar.": 56,
132
+ "M.6.4.2.2. Bir veri grubuna ait aritmetik ortalamay\u0131 hesaplar ve yorumlar.": 57,
133
+ "M.6.4.2.3. \u0130ki gruba ait verileri kar\u015f\u0131la\u015ft\u0131rmada ve yorumlamada aritmetik ortalama ve a\u00e7\u0131kl\u0131\u011f\u0131 kullan\u0131r.": 58
134
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