Özet bilgili matematik...kareden kareköke ve gerçek sayılar ..... 51 kareköklü sayılarla...

PISATIMSS

KANGURU

MANTIKMUHAKEME

8SINIF

SORU BANKASI

MATEMATIK.ÖZET BILGILI

MEB’in

SORULARI

YENI TARZ.

1. BÖLÜM: ÇARPANLAR VE KATLAR

Çarpanlar ve Katlar .............................................................................................................................................................................................................................................9

En Küçük Ortak Kat (EKOK) ......................................................................................................................................................................................................................... 15

En Büyük Ortak Bölen (EBOB) .................................................................................................................................................................................................................... 21

2. BÖLÜM: ÜSLÜ İFADELER

Üslü İfadeler .........................................................................................................................................................................................................................................................29

Tam Sayıların Pozitif ve Negatif Kuvvetleri, Üssün Üssü ...................................................................................................................................................... 31

Üslü Denklem, Tek – Çift Kuvvet ve Sıralama ...............................................................................................................................................................................33

Üslü Sayılarla Çarpma ve Bölme .............................................................................................................................................................................................................37

10'un Kuvvetleri ve Bilimsel Gösterim .................................................................................................................................................................................................41

Ünite Değerlendirme Testi ..........................................................................................................................................................................................................................43

PISA – TIMSS TESTİ ..........................................................................................................................................................................................................................................45

3. BÖLÜM: KAREKÖKLÜ İFADELER

Kareköklü İfadeler ............................................................................................................................................................................................................................................49

Kareden Kareköke ve Gerçek Sayılar ..................................................................................................................................................................................................51

Kareköklü Sayılarla Çarpma, Bölme .....................................................................................................................................................................................................55

Karekök Dışına ve İçine Alma, Doğal Sayı Yapan Çarpanlar .................................................................................................................................................61

Kareköklü Sayılarla Toplama ve Çıkarma .........................................................................................................................................................................................65

Ondalık Gösterimlerin Karekökü ...............................................................................................................................................................................................................71

4. BÖLÜM: VERİ ANALİZİ

Veri Analizi ..............................................................................................................................................................................................................................................................77

Ünite Değerlendirme Testi ..........................................................................................................................................................................................................................85

PISA – TIMSS TESTİ .......................................................................................................................................................................................................................................... 87

5. BÖLÜM: OLASILIKOlasılık .......................................................................................................................................................................................................................................................................91

6. BÖLÜM: CEBİRSEL İFADELER VE ÖZDEŞLLİKLERCebirsel İfadeler ve Özdeşlikler ............................................................................................................................................................................................................ 105

Cebirsel İfadelere Giriş .................................................................................................................................................................................................................................107

Özdeşlikler ........................................................................................................................................................................................................................................................... 109

Çarpanlara Ayırma ........................................................................................................................................................................................................................................... 113

Ünite Değerlendirme Testi ......................................................................................................................................................................................................................... 119

PISA – TIMSS TESTİ ..........................................................................................................................................................................................................................................121

GENEL TARAMA TESTİ (1–6. BÖLÜMLER) ............................................................................................................................................................................................ 123

7. BÖLÜM: DOĞRUSAL DENKLEMLERDoğrusal Denklemler .................................................................................................................................................................................................................................... 129

Bir Bilinmeyenli Denklemler ve Problemleri .................................................................................................................................................................................. 131

Koordinat Sistemi ............................................................................................................................................................................................................................................ 141

Doğrusal Denklemlerin Grafiği ............................................................................................................................................................................................................... 145

Doğrusal İlişkiler ............................................................................................................................................................................................................................................. 149

Eğim ...........................................................................................................................................................................................................................................................................157

8. BÖLÜM: EŞİTSİZLİKLEREşitsizlikler .......................................................................................................................................................................................................................................................... 169

Ünite Değerlendirme Testi .........................................................................................................................................................................................................................178

PISA – TIMSS TESTİ ......................................................................................................................................................................................................................................... 181

9. BÖLÜM: ÜÇGENLERÜçgenler ................................................................................................................................................................................................................................................................ 185

Üçgenin Elemanları .........................................................................................................................................................................................................................................187

Üçgen Eşitsizliği .............................................................................................................................................................................................................................................. 189

Açı - Kenar Bağıntısı ve Üçgen Çizimi .............................................................................................................................................................................................. 193

Pisagor Bağıntısı ............................................................................................................................................................................................................................................. 199

10. BÖLÜM: EŞLİK VE BENZERLİK

Eşlik ve Benzerlik ............................................................................................................................................................................................................................................ 213

Ünite Değerlendirme Testi ....................................................................................................................................................................................................................... 225

PISA – TIMSS TESTİ ........................................................................................................................................................................................................................................227

11. BÖLÜM: DÖNÜŞÜM GEOMETRİSİ

Dönüşüm Geometrisi .................................................................................................................................................................................................................................... 231

Öteleme ................................................................................................................................................................................................................................................................. 233

Yansıma ................................................................................................................................................................................................................................................................ 235

Ardışık Öteleme ve Yansımalar ............................................................................................................................................................................................................ 239

12. BÖLÜM: GEOMETRİK CİSİMLER

Geometrik Cisimler ....................................................................................................................................................................................................................................... 245

Prizmalar ...............................................................................................................................................................................................................................................................247

Dik Dairesel Silindirin Açınımı ve Alanı ............................................................................................................................................................................................ 251

Dik Dairesel Silindirin Hacmi .................................................................................................................................................................................................................. 255

Dik Piramit ve Dik Koninin Açınımı .................................................................................................................................................................................................... 259

Ünite Değerlendirme Testi ....................................................................................................................................................................................................................... 263

PISA – TIMSS TESTİ ....................................................................................................................................................................................................................................... 265

GENEL TARAMA TESTİ (1–12. BÖLÜMLER) ..........................................................................................................................................................................................267

CEVAP ANAHTARI .............................................................................................................................................................................................................................................273