Buku Matematika Kelas 12 SMK

Buku Matematika Kelas 12 SMK


Kelas 12
Pengarang Pratikno, Bayan Ardana W, Erens Sarindat, Agus Ira
Penerbit Pusat Kurikulum dan Perbukuan Kementerian Pendidikan Nasional
Tahun 2008
Bagikan kepada teman anda.

Materi Matematika

Kata Sambutan................................................................................................................................... iii
Kata Pengantar................................................................................................................................... iv
Daftar Isi ............................................................................................................................................. v

Bab 1 Teori Peluang
1.1 Mendeskripsikan Kaidah Pencacahan (Counting Rules), Permutasi, dan Kombinasi.................... 2
1.1.1 Aturan pengisian tempat yang tersedia (Filling Slots) ........................................................ 2
1.1.2 Permutasi......................................................................................................................... 4
1.1.3 Kombinasi......................................................................................................................... 8
1.1.4Penggunaan permutasi dan kombinasi dalam bidang bisnis.............................................. 9
1.2 Menghitung Peluang Suatu Kejadian........................................................................................... 11
1.2.1 Kejadian/peristiwa/event ...................................................................................................11
1.2.2 Peluang suatu kejadian..................................................................................................... 11
1.2.3 Frekuensi harapan............................................................................................................ 12
1.2.4 Peluang dari beberapa kejadian........................................................................................ 13
Rangkuman Bab 1......................................................................................................................... 18
Evaluasi.............................................................................................................................................. 19

Bab 2 Statistika
2.1 Mengidentifikasi Pengertian Statistik, Statistika, Populasi, dan Sampel ..................................... 22
2.1.1Pengertian statistik dan statistika ..................................................................................... 22
2.1.2 Kegunaan statistika.......................................................................................................... 23
2.1.3 Populasi dan sampel......................................................................................................... 23
2.1.4 Pembagian data................................................................................................................ 24
2.2 Menyajikan Data dalam Bentuk Tabel dan Diagram ..................................................................... 25
2.2.1 Tabel atau daftar............................................................................................................... 25
2.2.2Menyajikan data dalam bentuk grafik atau diagram........................................................... 32
2.3 Menentukan Ukuran Pemusatan Data......................................................................................... 37
2.3.1 Ukuran pemusatan data.................................................................................................... 37
2.3.2 Kegunaan ukuran pemusatan data.................................................................................... 48
2.4 Menentukan Ukuran Penyebaran Data........................................................................................ 50
2.4.1Range (jangkauan)............................................................................................................ 50
2.4.2 Simpangan rata-rata.......................................................................................................... 51
2.4.3Simpangan baku (standar deviasi) dan variansi................................................................ 52
2.4.4 Jangkauan semi interkuartil .............................................................................................. 55
2.4.5 Jangkauan persentil.......................................................................................................... 60
2.4.6Angka baku...................................................................................................................... 62
2.4.7 Koefisien variasi............................................................................................................... 63
Rangkuman bab 2...............................................................................................................................65
Evaluasi.............................................................................................................................................. 68

Bab 3 Matematika Keuangan
3.1 Menyelesaikan Masalah Bunga Tunggal dan Bunga Majemuk dalam Keuangan.......................... 77
3.1.1 Pengertian bunga dan bunga tunggal................................................................................ 77
3.1.2 Persen di bawah seratus dan persen di atas seratus ......................................................... 77
3.1.3 Sistem tabungan............................................................................................................... 79
3.1.4Sistem pinjaman............................................................................................................... 85
3.1.5 Pengertian bunga majemuk............................................................................................... 88
3.1.6 Perhitungan nilai akhir dengan masa bunga bulat.............................................................. 89
3.1.7 Perhitungan bunga majemuk dengan masa bunga pecahan.............................................. 92
3.1.8Nilai tunai dengan masa bunga bulat................................................................................. 94
3.1.9 Perhitungan nilai tunai dengan bunga pecahan.................................................................. 96
3.2 Menyelesaikan Masalah Rente dalam Keuangan......................................................................... 97
3.2.1 Pengertian dan jenis-jenis rente........................................................................................ 97
3.2.2Nilai akhir rente................................................................................................................. 97
3.2.3 Nilai tunai rente................................................................................................................. 101
3.2.4 Rente kekal (rente abadi).................................................................................................. 105
3.2.5 Rente yang ditangguhkan.................................................................................................. 106
3.3 Menyelesaikan Masalah Anuitas dalam Sistem Pinjaman........................................................... 108
3.3.1 Pengertian anuitas............................................................................................................ 108
3.3.2 Tabel rencana pelunasan................................................................................................... 108
3.3.3 Rumus-rumus anuitas....................................................................................................... 110
3.3.4 Menghitung sisa pinjaman................................................................................................ 113
3.3.5Anuitas yang dibulatkan.................................................................................................... 117
3.3.6 Anuitas pada obligasi........................................................................................................ 118
3.4 Menyelesaikan Masalah Penyusutan Nilai Barang ...................................................................... 121
3.4.1 Pengertian aktiva perusahaan........................................................................................... 121
3.4.2 Penyusutan ....................................................................................................................... 121
3.4.3 Amortisasi (materi pengayaan)......................................................................................... 126
Rangkuman Bab 3.............................................................................................................................. 128
Evaluasi.............................................................................................................................................. 130
Soal-soal UAN..................................................................................................................................... 137

Daftar Pustaka.................................................................................................................................... 155
Glosarium........................................................................................................................................... 156
Indeks................................................................................................................................................. 157
Lampiran............................................................................................................................................. 159