Perkalian kelas 2
Transcript of Perkalian kelas 2
![Page 1: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/1.jpg)
PERKALIAN
OLEH :
MARYANTO, S. Pd.
SDN PILANG I
UPT DINAS PENDIDIKAN KECAMATAN MASARAN
KELAS II
![Page 2: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/2.jpg)
STANDAR KOMPETENSI,
KOMPETENSI DASAR, DAN
INDIKATORStandar Kompetensi
Melakukan perkalian dan pembagian bilangan sampai dua angka.
Kompetensi Dasar
Melakukan perkalian bilangan yang hasilnya bilangan dua angka.
Indikator
* Mengenal arti perkalian sebagai penjumlahan berulang.
* Menghitung secara cepat perkalian bilangan yang hasilnya
bilangan dua angka.
* Mengenal sifat komutatif pada perkalian.
* Mengenal sifat asosiatif pada perkalian.
* Memecahkan masalah sehari-hari yang melibatkan perkalian.
![Page 3: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/3.jpg)
PERKALIAN ADALAH ...
PENJUMLAHAN BERULANG
![Page 4: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/4.jpg)
3 X 1 = 1 + 1 + 1 = 3
1 X 1 = 1
2 X 1 = 1 + 1 = 2
4 X 1 = 1 + 1 + 1 + 1 = 4
![Page 5: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/5.jpg)
6 X 1 = 1 + 1 + 1 + 1 + 1 + 1 = 6
5 X 1 = 1 + 1 + 1 + 1 + 1 = 5
7 X 1 = 1 +1 + 1 + 1 + 1 + 1 + 1 = 7
![Page 6: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/6.jpg)
9 X 1 = 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 9
8 X 1 = 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 8
10 X 1 = 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 10
![Page 7: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/7.jpg)
3 X 2 = 2 + 2 + 2 = 6
1 X 2 = 2
2 X 2 = 2 + 2 = 4
4 X 2 = 2 + 2 + 2 + 2 = 8
![Page 8: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/8.jpg)
6 X 2 = 2 + 2 + 2 + 2 + 2 + 2 = 12
5 X 2 = 2 + 2 + 2 + 2 + 2 = 10
7 X 2 = 2 +2 + 2 + 2 + 2 + 2 + 2 = 14
![Page 9: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/9.jpg)
9 X 2 = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 18
8 X 2 = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 =16
10 X 2 = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 20
![Page 10: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/10.jpg)
3 X 4 = 4 + 4 + 4 = 12
4 X 3 = 3 + 3 + 3 + 3 = 12
![Page 11: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/11.jpg)
5 X 6 = 6 + 6 + 6 + 6 + 6 = 30
6 X 5 = 5 + 5 + 5 + 5 + 5 + 5 = 30
![Page 12: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/12.jpg)
7 X 8 = 8 + 8 + 8 + 8 + 8 + 8 + 8 = 56
8 X 7 = 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 = 56
![Page 13: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/13.jpg)
LEMBAR KERJA SISWA
1. Perkalian adalah ....
2. Buatlah gambar yang menunjukkan penjumlahan berulang
dari perkalian berikut !
a. 5 X 4 =
b. 4 X 5 =
c. 3 X 6 =
d. 6 X 3 =
![Page 14: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/14.jpg)
3. Buatlah perkalian dari gambar penjumlahan berulang
dibawah ini !
a.
... + ... + ... + ... + ... + ... + ... = ... X ...
b.
... + ... + ... = ... X ...
c.
... + ... + ... + ... = ... X ...
![Page 15: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/15.jpg)
4. Buatlah penjumlahan berulang dari perkalian berikut !
a. 3 X 6 = ... + ... + ...
b. 4 X 9 = ... + ... + ... + ....
5. Buatlah perkalian dari penjumlahan berulang berikut !
a. 7 + 7 + 7 + 7 + 7 + 7 = ... X ...
b. 6 + 6 + 6 + 6 + 6 + 6 + 6 = ... X ...
![Page 16: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/16.jpg)
PRI. Buatlah gambar yang menunjukkan penjumlahan berulang dari perkalian berikut !
1. 4 X 7 = ....
2. 2 X 6 = ....
3. 5 X 2 = ....
4. 6 X 3 = ....
5. 8 X 1 = ....
II. Buatlah penjumlahan berulang dan perkaliannya dari gambar berikut !
1.
2.
3.
4.
5.
![Page 17: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/17.jpg)
MENGALIKAN DUA BILANGAN SATU
ANGKA1 X 1 = 1
2 X 1 = 2 2 X 2 = 4
3 X 1 = 3 3 X 2 = 6 3 X 3 = 9
4 X 1 = 4 4 X 2 = 8 4 X 3 = 12 4 X 4 = 16
5 X 1 = 5 5 X 2 = 10 5 X 3 = 15 5 X 4 = 20 5 X 5 = 25
6 X 1 = 6 6 X 2 = 12 6 X 3 = 18 6 X 4 = 24 6 X 5 = 30
7 X 1 = 7 7 X 2 = 14 7 X 3 = 21 7 X 4 = 28 7 X 5 = 35
8 X 1 = 8 8 X 2 = 16 8 X 3 = 24 8 X 4 = 32 8 X 5 = 40
9 X 1 = 9 9 X 2 = 18 9 X 3 = 27 9 X 4 = 36 9 X 5 = 45
10 X 1 = 10 10 X 2 = 20 10 X 3 = 30 10 X 4 = 40 10 X 5 = 50
6 X 6 = 36
7 X 6 = 42 7 X 7 = 49
8 X 6 = 48 8 X 7 = 56 8 X 8 = 64
9 X 6 = 54 9 X 7 = 63 9 X 8 = 72 9 X 9 = 81
10 X 6 = 60 10 X 7 = 70 10 X 8 = 80 10 X 9 = 90 10 X 10 = 100
![Page 18: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/18.jpg)
LEMBAR KERJA SISWA
1. 2 X 3 = ... 6. 2 X 5 = ...
2. 3 X 5 = ... 7. 4 X 6 = ...
3. 3 X 7 = ... 8. 4 X 7 = ...
4. 8 X 5 = ... 9. 9 X 3 = ...
5. 7 X 8 = ... 10. 5 X 6 = ...
![Page 19: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/19.jpg)
PR
I. Tentukanlah jumlah dari perkalian berikut !
1.4 X 4 = .... 6. 2 X 5 = ....
2.3 X 1 = .... 7. 9 X 3 = ....
3.6 X 2 = .... 8. 7 X 8 = ....
4.9 X 3 = .... 9. 4 X 6 = ....
5.2 X 3 = .... 10. 5 X 5 = ....
II. Tentukanlah perkalian dari angka-angka berikut !
1.24 = ... X ... 6. 32 = ... X ...
2.18 = ... X ... 7. 45 = ... X ...
3.12 = ... X ... 8. 21 = ... X ...
4.14 = ... X ... 9. 27 = ... X ...
5.25 = ... X ... 10. 36 = ... X ...
![Page 20: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/20.jpg)
MENGENAL SIFAT KOMUTATIF ( PERUBAHAN
URUTAN )
PADA PERKALIANA X B = B X A = ...
2 X 3 = 3 + 3 =
3 X 2 = 2 + 2 + 2 =
Jadi, 2 X 3 hasilnya sama dengan 3 X 2 yaitu 6.
Dalam perkalian suku pertama di bolak-balik dengan
suku kedua akan memperoleh hasil yang sama.
Contoh :
1. 2 X 1 = 1 X 2 = 2 2. 3 X 4 = 4 X 3 = 123. 6 X 3 = 3 X 6 = 18 4. 7 X 2 = 2 X 7 = 14
5. 4 X 5 = 5 X 4 = 20 6. 2 X 9 = 9 X 2 = 18
7. 8 X 4 = 4 X 8 = 32 8. 6 X 9 = 9 X 6 = 54
9. 7 X 4 = 4 X 7 = 28 10. 8 X 7 = 7 X 8 = 56
= 6
= 6
![Page 21: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/21.jpg)
LEMBAR KERJA SISWA
Contoh :
2 X 4 = 4 X 2 = 8
1. 3 X 9 = ... X ... = ... 6. 3 X 5 = ... X ... = ...
2. 6 X 2 = ... X ... = ... 7. 1 X 8 = ... X ... = ...
3. 4 X 7 = ... X ... = ... 8. ...X ... = 6 X 9 = ...
4. ... X ... = 5 X 8 = ... 9. ...X ... = 4 X 8 = ...
5. ... X ... = 3 X 7 = ... 10. ... X ... = 3 X 8 = ...
![Page 22: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/22.jpg)
PR
Isilah titik-titik di bawah ini !
1. 5 X 4 = ... X ... = ... 6. ... X ... = 7 X 3 = ...
2. 4 X 6 = ... X ... = ... 7. ... X ... = 6 X 2 = ...
3. 3 X 8 = ... X ... = ... 8. ... X ... = 8 X 5 = ...
4. 2 X 9 = ... X ... = ... 9. ... X ... = 9 X 4 = ...
5. 6 X 7 = ... X ... = ... 10. ... X ... = 1 X 8 = ...
![Page 23: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/23.jpg)
MENGENAL SIFAT ASOSIATIF (
PENGELOMPOKAN )
PADA PERKALIAN
(A X B) X C = A X (B X C)
(2 X 3) X 4 = 2 X (3 X 4) =
(6) X 4 = 2 X (12) =
24 = 24
3 X(4 X 5) = (3 X 4) X 5 =
3 X (20) = (12) X 5 =
60 = 60
2 X (3 X 5) = (2 X 3) X 5 =
2 X (15) = (6) X 5 =
30 =30
![Page 24: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/24.jpg)
LEMBAR KERJA SISWAIsilah titik-titik di bawah ini dan kerjakan seperti contoh !
Contoh :
(4 X 2) X 3 = 4 X (2 X 3) =
8 X 3 = 4 X 6 =
24 = 24
1. (5 X 6) X 1 = ... X( ... X ... ) =
( ... ) X ... = ... X (...) =
... = ...
2. 2 X(3 X 2) = ... X ... X ... =
... X ... = ... X ... =
... = ...
3. (4 X 1) X 2 = ...
4. 3 X (2 X 1) = ...
5. (3 X 3) X 6 = ...
![Page 25: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/25.jpg)
PRIsilah titik-titik di bawah ini dan kerjakan seperti contoh !
Contoh :
(2 X 1) X 4 = 2 X (1 X 4) =
2 X 4 = 2 X 4 =
8 = 8
1. (3 X 1) X 4 = ... X( ... X ... ) =
( ... ) X ... = ... X (...) =
... = ...
2. 6 X(3 X 3) = ... X ... X ... =
... X ... = ... X ... =
... = ...
3. (3 X 2) X 4 = ...
4. 2 X (1 X 9) = ...
5. (4 X 2) X 5 = ...
![Page 26: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/26.jpg)
LATIHAN SOAL CERITA
Di tempat parkir ada 8 buah motor. Berapakah jumlah roda-roda motor
tersebut ?
Jawab :
8 X 2 = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 16
1. Yudhis, Agung, dan Wicak masing-masing mempunyai satu
kantong rambutan. Setiap kantong berisi 7 buah rambutan.
Berapakah jumlah rambutan yang mereka miliki ?
2. 5 orang siswa kelas II membawa 3 buah buku tulis.
Berapa jumlah buku tulis yang mereka bawa ?
3. Ibu membeli 4 bungkus kue. Setiap bungkus berisi 6 kue.
Berapa jumlah kue ibu seluruhnya ?
4. Ada 2 anak membeli minuman. Setiap anak membeli 4
kotak. Berapa kotak minuman yang dibeli seluruhnya ?
5. Setiap hari Oneng makan 3 kali dalam sehari . Berapa kali
Oneng makan dalam 5 hari ?
![Page 27: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/27.jpg)
PR SOAL CERITA
1. Pak Maman mempunyai 3 tas raket badminton. Setiap tas berisi 3 raket.
Berapa raket yang dimiliki Pak Maman ?
2. Pak Odong seorang pedagang beras. Dia memiliki 8 kantong beras. Setiap
kantong berisi 5 kg. Berapa kg beras Pak Odong seluruhnya ?
3. Didu membawa 3 kaleng kelereng. Setiap kaleng berisi 9 kelereng. Berapa
jumlah kelereng Didu ?
4. Ada 5 kandang kambing. Setiap kandang berisi 7 kambing. Berapa jumlah
kambing seluruhnya ?
5. Bang Pena, Bang Salim, dan Bang Edi masing-masing mempunyai sebuah
bajaj.
Berapa jumlah roda bajaj mereka seluruhnya ?
![Page 28: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/28.jpg)
LATIHAN SOAL PENGAYAAN
X
6
X
8
X
9
X
10
X
12
X
24
X
30
X
36
X
42
X
48
![Page 29: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/29.jpg)
PR SOAL PENGAYAAN
X
5
X
14
X
15
X
18
X
21
X
25
X
27
X
32
X
36
X
40
![Page 30: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/30.jpg)
LATIHAN SOAL PENGAYAAN
1. 2 X 2 X 3 = .... 6. 1 X 3 X 7 = ....
2. 5 X 1 X 6 = .... 7. 2 X 3 X 4 = ....
3. 2 X 5 X 3 = .... 8. 2 X 4 X 8 = ....
4. 3 X 3 X 6 = .... 9. 4 X 2 X 4 = ....
5. 1 X 5 X 5 = .... 10. 3 X 2 X 6 = ....
![Page 31: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/31.jpg)
PR SOAL PENGAYAAN
1. 1 X 2 X 3 = .... 6. 2 X 4 X 5 = ....
2. 2 X 3 X 3 = .... 7. 4 X 2 X 6 = ....
3. 3 X 3 X 3 = .... 8. 2 X 2 X 3 = ....
4. 2 X 1 X 4 = .... 9. 3 X 2 X 6 = ....
5. 3 X 2 X 5 = .... 10. 3 X 3 X 4 = ....
![Page 32: Perkalian kelas 2](https://reader030.fdocument.pub/reader030/viewer/2022012308/55978a4f1a28ab7e5a8b472f/html5/thumbnails/32.jpg)
DAFTAR PUSTAKA
Bobrow, Jerry. 2003, Seri Matematika Keterampilan Aljabar I.
Bandung : Pakar Raya
Kementerian Pendidikan Nasional, Direktorat Jenderal Manajemen
Pendidikan Dasar dan Menengah, Direktorat Pembinaan
Taman Kanak-Kanak Sekolah Dasar 2010, Pedoman
Pembelajaran Matematika di Sekolah Dasar.Jakarta :
Kementerian Pendidikan Nasional.
Tim Bina Matematika, Matematika Kelas 2 Sekolah Dasar. Bogor :
Yudhistira.
Isnada Waris Tasrim, Purnomosidi, Wiyanto, Endang
Supadminingsih. 2007, Matematika Untuk SD/MI Kelas 2.
Jakarta : Pusat Perbukuan.