ÖZET BILGILI MATEMATIK...Kareden Kareköke ve Gerçek Sayılar ..... 51 Kareköklü Sayılarla...
Transcript of 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