VII
Nama Kelompok

:

Anggota

:

1.
2.
3.
4.

Himpunan
Mata Pelajaran

: Matematika

Kelas

: VII

Semester

: Ganjil

Kompetensi Dasar
1.1 Menunjukkan sikap logis, kritis, analitik, konsisten dan teliti, bertanggung jawab,
responsif dan tidak mudah menyerah dalam memecahkan masalah.

Tujuan Pembelajaran :
1. Siswa dapat mendefinisikan pengertian himpunan.
2. Siswa dapat menjelaskan syarat-syarat dari himpunan.
3. Siswa dapat membedakan yang merupakan anggota dan bukan anggota dari suatu
himpunan.
4. Siswa dapat menentukan himpunan semesta dari suatu himpunan.
5. Siswa dapat menentukan himpunan kosong.

Himpunan
Lembar 1
Konsep Himpunan
1. Manakah yang merupakan himpunan?
a. Kumpulan bunga Putih.
b. Kumpulan orang tinggi.
c. Kumpulan warga negara RI.
d. Kumpulan orang pendek.
e. Kumpulan binatang berkaki empat.
f. Kumpulan anak pandai.
Jelaskan jawaban mu!

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Himpunan
Lembar 2
Anggota & bukan Anggota dari Suatu Himpunan
1. Ditentukan A = {Jeruk , Mangga, Apel }. Benar atau salahkah pernyataan-pernyataan
berikut ini? Jika ada pernyataan yang salah, jelaskan jawaban mu!
a. Jeruk ϵ A

c. { Mangga } ϵ A

b. Apel ⊂ Jeruk

d. { Apel } ⊂ A

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2. Tulislah pernyataan berikut dengan menggunakan simbol-simbol yang tepat!
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a. d adalah anggota E
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b. a bukan anggota B
c. 6 bukan abjad latin
d. Yohanes adalah anggota regu volley dan regu basket
e. Sugeng tidak berkacamata
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Himpunan
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Lembar 3
Himpunan Kosong
1. Sebutkan siswa-siswa yang berusia 17 tahun di kelas mu!
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2. Sebutkan nama-nama bulan yang terdiri atas 32 hari!

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3. Merupakan himpunan kosong atau bukankah himpunan – himpunan berikut? Jelaskan
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jawabanmu!
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a.............................................................................................................................................
Himpunan segitiga yang mempunyai dua sudut siku-siku
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b. Himpunan benda ruang yang tidak mempunyai rusuk
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c.............................................................................................................................................
Himpunan manusia yang umurnya 1000 tahun
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d. Himpunan manusia yang pernah berada di ruang angkasa selama lebih dari 300
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hari
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Himpunan
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4. Bedakan :
a. Apakah {0} merupakan himpunan kosong ?
b. Apakah {ф} merupakan himpunan kosong ?
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Himpunan
Lembar 4

Himpunan Semesta
1. Tentukan semesta pembicaraan yang mungkin dari himpunan-himpunan berikut!
a. K = { ...,-1,0,1,...}
b. L = { piring, sendok, garpu}
c. M adalah a,b,c,d,e.
d. N = { Jakarta, Bandung, Palembang, Surabaya }
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Nilai
Tanggal
Paraf Guru
Paraf Orangtua
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Himpunan

Lembar kerja siswa ( himpunan )

  • 1.
  • 2.
    Mata Pelajaran : Matematika Kelas :VII Semester : Ganjil Kompetensi Dasar 1.1 Menunjukkan sikap logis, kritis, analitik, konsisten dan teliti, bertanggung jawab, responsif dan tidak mudah menyerah dalam memecahkan masalah. Tujuan Pembelajaran : 1. Siswa dapat mendefinisikan pengertian himpunan. 2. Siswa dapat menjelaskan syarat-syarat dari himpunan. 3. Siswa dapat membedakan yang merupakan anggota dan bukan anggota dari suatu himpunan. 4. Siswa dapat menentukan himpunan semesta dari suatu himpunan. 5. Siswa dapat menentukan himpunan kosong. Himpunan
  • 3.
    Lembar 1 Konsep Himpunan 1.Manakah yang merupakan himpunan? a. Kumpulan bunga Putih. b. Kumpulan orang tinggi. c. Kumpulan warga negara RI. d. Kumpulan orang pendek. e. Kumpulan binatang berkaki empat. f. Kumpulan anak pandai. Jelaskan jawaban mu! ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ......................................................................................................................................... ....................................................................................................................................... ....................................................................................................................................... ....................................................................................................................................... ....................................................................................................................................... ....................................................................................................................................... ....................................................................................................................................... ....................................................................................................................................... ....................................................................................................................................... ....................................................................................................................................... ....................................................................................................................................... ....................................................................................................................................... ....................................................................................................................................... Himpunan
  • 4.
    Lembar 2 Anggota &bukan Anggota dari Suatu Himpunan 1. Ditentukan A = {Jeruk , Mangga, Apel }. Benar atau salahkah pernyataan-pernyataan berikut ini? Jika ada pernyataan yang salah, jelaskan jawaban mu! a. Jeruk ϵ A c. { Mangga } ϵ A b. Apel ⊂ Jeruk d. { Apel } ⊂ A ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ......................................................................................................................................... ....................................................................................................................................... ....................................................................................................................................... 2. Tulislah pernyataan berikut dengan menggunakan simbol-simbol yang tepat! ....................................................................................................................................... a. d adalah anggota E ..................... b. a bukan anggota B c. 6 bukan abjad latin d. Yohanes adalah anggota regu volley dan regu basket e. Sugeng tidak berkacamata ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ......................................................................................................................................... ....................................................................................................................................... Himpunan ....................................................................................................................................... ....................................................................................................................................... .....................
  • 5.
    Lembar 3 Himpunan Kosong 1.Sebutkan siswa-siswa yang berusia 17 tahun di kelas mu! ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ....................................... 2. Sebutkan nama-nama bulan yang terdiri atas 32 hari! ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ 3. Merupakan himpunan kosong atau bukankah himpunan – himpunan berikut? Jelaskan ............................................................................................................................................ jawabanmu! ............................................................................................................................................ a............................................................................................................................................. Himpunan segitiga yang mempunyai dua sudut siku-siku ............................................................................................................................................ b. Himpunan benda ruang yang tidak mempunyai rusuk ............................................................................................................................................ c............................................................................................................................................. Himpunan manusia yang umurnya 1000 tahun ............................................................................................................................................ d. Himpunan manusia yang pernah berada di ruang angkasa selama lebih dari 300 ............................................................................................................................................ hari ............................................................................................................................................ ....................................... ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ Himpunan ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ .......................................
  • 6.
    4. Bedakan : a.Apakah {0} merupakan himpunan kosong ? b. Apakah {ф} merupakan himpunan kosong ? ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ....................................... Himpunan
  • 7.
    Lembar 4 Himpunan Semesta 1.Tentukan semesta pembicaraan yang mungkin dari himpunan-himpunan berikut! a. K = { ...,-1,0,1,...} b. L = { piring, sendok, garpu} c. M adalah a,b,c,d,e. d. N = { Jakarta, Bandung, Palembang, Surabaya } ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ Nilai Tanggal Paraf Guru Paraf Orangtua ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ ....................................... Himpunan