Angka dan bilangan

98
Copyright by Page 1

Transcript of Angka dan bilangan

Page 1: Angka dan bilangan

Copyright by Page 1

Page 2: Angka dan bilangan

Angka dan Bilangan

Dahulu kala, manusia menggunakan bilangan hanya untuk menghitung sebuah

kuantitas dengan jumlah yang sangat terbatas.

Lambat laun, perhitungan yang dilakukan manusia semakin kompleks. Karena itu

dalam peradaban manusia berkembangkan berbagai sistem numerasi, yang mana

tujuan pokoknya adalah mempermudah manusia menghitung dan mencatat

berbagai kuantitas ini.

Dalam sistem numerasi ini, terdapat angka-angka, bilangan, operasi-operasi dasar

antara berbagai bilangan dan yang mengaitkan satu bilangan dengan bilangan

lainnya, serta adanya aturan-aturan dasar.

Pada dasarnya konsep tentang bilangan ini adalah sebuah konsep yang kompleks.

Pemahaman tentang sistem bilangan melibatkan berbagai ide dan keahlian.

Siswa membutuhkan pengalaman pribadi dan waktu yang cukup untuk dapat benar-

benar memahami konsep bilangan ini.

Secara umum bilangan mempunyai 3 fungsi, yaitu

1. Menyatakan kuantitas

Sering disebut aspek kardinalitas bilangan. Ini adalah sebuah gagasan bahwa

ketika kita menghitung sebuah kelompok, bilangan terakhir yang disebutkan

menyatakan banyaknya objek dalam kelompok ini.

2. Menyatakan urutan

Copyright by Page 2

Page 3: Angka dan bilangan

Sering disebut juga aspek ordinalitas atau urutan. Bilangan digunakan untuk

menjelaskan urusan susunan ssejumlah benda, misalnya urutan pemenang,

antrian, dan sebagainya.

3. Menyatakan nilai/nama sebuah benda

Bilangan digunakan untuk mengidentifikasi benda-benda, misalnya nomor

rumah, nomor jalan, nomor kamar hotel, kode pos, dan sebagainya.

Untuk menuliskan bilangan diperlukan simbol. Dalam sejarah peradaban manusia,

simbol-simbol yang menyatakan jumlah muncul terlebih dahulu dibandingkan nama

bilangan.

Sejarahwan menduga bahwa simbol angka yang paling tua berupa turus-turus.

Berikut ini akan diuraikan berbagai sistem bilangan yang ada dalam berbagai

kebudayaan.

Sistem Bilangan Mesir

Sekitar tahun 3400 sebelum Masehi, bangsa Mesir telah mempunyai sistem

numerasi yang cukup canggih. Namun sistem bilangan mereka hanya terbatas

sampai sekitar 1 juta. Beberapa simbol bilangan mereka ditunjukkan pada gambar

berikut.

Copyright by Page 3

Page 4: Angka dan bilangan

Sistem bilangan Mesir ini menganut sistem penjumlahan. Sejumlah bilangan dipilih

sebagai basis dan simbol melambangkan 1, b, b2, b3, dan seterusnya digunakan

untuk menuliskan pangkat dari basis-basis ini. Bilangan ditulis dengan menggunakan

pangkat-pangkat basis ini berulang kali sejumlah yang dibutuhkan.

Sistem bilangan Mesir menggunakan basis 10. Jadi yang menjadi basis adalah 1, 10,

100, 1000 dan seterusnya. Bilangan ditulis sedemikian hingga pangkat yang paling

kecil terletak di paling kiri dan semakin meningkat.

Contoh:

a. 1235, dilambangkan dengan

b. 13014, dilambangkan dengan

Sistem Bilangan Romawi

Sistem ini juga menggunakan basis 10. Namun mereka juga menggunakan simbol-

simbol untuk bilangan yang bukan pangkat dari 10, misalnya 5, 50, dan 500.

I V X L C D M

1 5 10 50 100 500 1000

Sistem bilangan Romawi juga menganut sistem pengurangan. Hal tersebut dapat

dilihat dalam contoh berikut.

Copyright by Page 4

Page 5: Angka dan bilangan

IX XL XC CD CM 1999 2009

9 40 90 400 900 MCMXCIX MMIX

Sistem Bilangan BabiloniaBangsa Babilonia menggunakan sistem bilangan basis 60. Simbol-simbol dasar

mereka untuk bilangan 1 sampai dengan 59 dibentuk dengan berulang kali dengan

menambahkan untuk 1 dan untuk 10.

Contoh:

a. 5 dilambangkan dengan

b. 24 dilambangkan dengan

c. 50 dilambangkan dengan

Bangsa Babilonia telah mengenal konsep nilai tempat. Nilai tempat adalah nilai

pangkat dari basis. Nilai tempat sistem bilangan bangsa babilonia adalah 1, 60, 602,

603, dan seterusnya.

Simbol-simbol dasar mereka mempunyai nilai yang berbeda, tergantung pada posisi

mereka.

Contoh:

a. =45

Copyright by Page 5

Page 6: Angka dan bilangan

b. =

3× (602 )+0× (60 )+45=10845

Sistem ini memiliki kelemahan, yaitu tidak mempunyai angka nol sebagai pengisi

tempat.

Sistem Bilangan Maya

Sistem ini menggunakan basis 20. Keunggulan sistem ini adalah mulai dikenalnya

nol. Simbol dasar mereka untuk bilangan 1 sampai 19 adalah sebagai berikut.

Untuk menuliskan bilangan yang lebih besar dari 19, bangsa Maya menggunakan

simbol dasar dan nilai tempat. Mereka menuliskan bilangan secara vertikal, yang

mana pangkat dari basis meningkat dari bawah ke atas.

Angka paling bawah melambangkan banyaknya satuan. Angka pada posisi kedua

melambangkan banyaknya dua puluh. Karena kalender bangsa Maya memiliki 18

bulan, yang mana masing-masing bulan terdiri dari 20 hari, maka nilai tempat untuk

posisi ketiga adalah 18×20, bukannya 202. Posisi berikutnya adalah 18×202,

18×203dan seterusnya.

Contoh:

Copyright by Page 6

Page 7: Angka dan bilangan

a. =80 b. = (5×20¿+7=107

c.¿ (7×18×20 )+(13×20 )+2

Seperti yang Anda lihat dalam berbagai contoh sistem bilangan di atas, kombinasi

angka-angkanya menghasilkan bilangan yang lebih besar. Angka-angka ini

dikombinasikan dengan beberapa aturan tertentu.

Sistem Bilangan Hindu Arab

Sistem bilangan yang kita gunakan disebut sistem Hindu Arab. Karateristik dalam

sistem ini adalah

1. Basis 10

2. Ada nilai tempat

3. Menggunakan prinsip perkalian

Contoh: 243, artinya ada 2 kali (dua kelompok) ratusan, 4 kali (empat

kelompok) puluhan dan 3 kali (tiga kelompok) satuan.

4. Menggunakan prinsip penjumlahan

Nilai suatu bilangan adalah jumlah dari hasil kali setiap angka dan nilai

tempatnya.

5. Adanya nol sebagai pengisi tempat

Simpulan

Beda angka dan bilangan :

Copyright by Page 7

Page 8: Angka dan bilangan

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

Rekreasi Matematika

Bilangan apa saja yang Anda lihat pada gambar berikut?

Gagasan tentang bilangan

Berikut adalah hal-hal penting tentang bilangan yang harus dipahami siswa SD kelas

1 dan 2:

• Menunjukkan jumlah (as many as)

• Satu dan lebih satu (one and one more)

• Lebih banyak atau lebih sedikit

• Lebih dari dan kurang dari

• Sama dengan

• Mengurutkan bilangan

Diskusi

Copyright by Page 8

Page 9: Angka dan bilangan

Coba urutkan gagasan-gagasan di atas sesuai dengan saat Anda mengajarkan kepada

siswa!

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

Pengajaran tentang bilangan di tingkat SD tidak hanya mengarahkan siswa untuk

bisa berhitung, namun yang lebih penting agar anak-anak dapat

menumbuhkembangkan ‘rasa bilangan’ (number sense) dalam batin mereka. Rasa

bilangan adalah intuisi yang baik tentang bilangan dan hubungan antara bilangan.

Berbagai kegiatan dalam modul ini ditujukan agar guru dapat mengarahkan

siswanya untuk dapat menumbuhkembangkan rasa bilangan ini.

Diskusi

Apakah yang dimaksud berhitung dan apa saja fungsi dari berhitung ini?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

Makna tentang berhitung tidak dapat ditransfer begitu saja dari guru ke siswa. Anak

harus mengkonstruksi ide sendiri di benak mereka. Guru hanya membantu

Copyright by Page 9

Page 10: Angka dan bilangan

mengarahkan dengan berbagai aktivitas agar mereka kelak dapat memahami makna

sebenarnya dari berhitung ini. Ide tentang berhitung adalah gagasan paling

mendasar tentang bilangan yang menjadi basis dari konsep-konsep bilangan

lainnnya.

Berhitung memerlukan dua keahlian, yaitu:

a. Anak perlu mengetahui nama-nama bilangan dan menyebutkan secara

berurutan.

b. Anak perlu memahami korespondensi satu-satu antara bilangan dengan

objek yang dihitung.

Beberapa teknik berhitung:

a. Menghitung keseluruhan

b. Melanjutkan

PENJUMLAHANHasil jumlah 1 – 5

Alat peraga : _________________________________________________________

Bagaimana cara mengajarnya?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

Copyright by Page 10

Page 11: Angka dan bilangan

Soal :

1. 1 + 2 = ... 2. 1 + 0 = ... 3. 2 + 0 = ... 4. 3 + 0 = ... 5. 4 + 0 = ... 6. 5 + 0 = ... 7. 2 + 3 = ... 8. 3 + 1 = ... 9. 4 + 1 = ... 10. 3 + 2 = ... 11. 5 + 0 = ... 12. 4 + 1 = ... 13. 1 + 4 = ... 14. 3 + 2 = ... 15. 2 + 3 = ... 16. 0 + 5 = ... 17. 3 + 1 = ... 18. 2 + 1 = ... 19. 1 + 1 = ... 20. 2 + 2 = ... 21. 3 + 2 = ... 22. 1 + 3 = ... 23. 2 + 3 = ... 24. 0 + 5 = ... 25. 1 + 4 = ... 26. 2 + 3 = ... 27. 1 + 1 = ... 28. 4 + 1 = ... 29. 1 + 2 = ... 30. 3 + 2 = ... 31. 5 + 0 = ... 32. 4 + 1 = ... 33. 3 + 2 = ... 34. 2 + 3 = ...

35. 0 + 5 = ... 36. 3 + 1 = ... 37. 0 + 1 = ... 38. 2 + 1 = ... 39. 1 + 1 = ... 40. 1 + 4 = ... 41. 0 + 0 = ... 42. 0 + 3 = ... 43. 2 + 2 = ... 44. 3 + 1 = ... 45. 3 + 2 = ... 46. 1 + 3 = ... 47. 2 + 3 = ... 48. 0 + 5 = ... 49. 5 + 0 = ... 50. 3 + 1 = ...51. 1 + ... = 5 52. 2 + ... = 5 53. 3 + ... = 5 54. 4 + ... = 5 55. 3 + ... = 5 56. 5 + ... = 5 57. 4 + ... = 5 58. 1 + ... = 5 59. 3 + ... = 5 60. 2 + ... = 5 61. 0 + ... = 5 62. 3 + ... = 5 63. 2 + ... = 5 64. 1 + ... = 5 65. 2 + ... = 5 66. 3 + ... = 5 67. 1 + ... = 5 68. 2 + ... = 5

69. 0 + ... = 5 70. 1 + ... = 5 71. 2 + ... = 5 72. 2 + ... = 5 73. 3 + ... = 5 74. 3 + ... = 5 75. 1 + ... = 5 76. 4 + ... = 5 77. 3 + ... = 5 78. 5 + ... = 5 79. 4 + ... = 5 80. 3 + ... = 5 81. 2 + ... = 5 82. 0 + ... = 5 83. 3 + ... = 5 84. 2 + ... = 5 85. 1 + ... = 5 86. 1 + ... = 5 87. 2 + ... = 5 88. 3 + ... = 5 89. 3 + ... = 5 90. 1 + ... = 5 91. 2 + ... = 5 92. 0 + ... = 5 93. 5 + ... = 5 94. 3 + ... = 5 95. 0 + ... = 596. 2 + ... = 597. 3 + ... = 598. 5 + ... = 599. 4 + ... = 5100. 3 + ... = 5

Copyright by Page 11

Page 12: Angka dan bilangan

Hasil jumlah 1 sampai 9 Alat peraga : _________________________________________________________

Bagaimana cara mengajarnya?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

Soal :

1. 2+ 4 = ... 2. 2 + 6 = ... 3. 3 + 3 = ... 4. 4 + 4 = ... 5. 5 + 2 = ... 6. 5 + 1 = ... 7. 6 + 2 = ... 8. 1 + 4 = ... 9. 5 + 2 = ... 10. 6 + 3 = ... 11. 5 + 4 = ... 12. 8 + 1 = ... 13. 9 + 0 = ... 14. 3 + 2 = ... 15. 2 + 6 = ... 16. 3 + 5 = ... 17. 4 + 3 = ... 18. 4 + 2 = ... 19. 4 + 5 = ...

20. 1 + 6 = ... 21. 6 + 3 = ... 22. 7 + 1 = ... 23. 7 + 2 = ... 24. 9 + 0 = ... 25. 8 + 1 = ... 26. 3 + 1 = ... 27. 8 + 0 = ... 28. 7 + 2 = ... 29. 6 + 1 = ... 30. 5 + 4 = ... 31. 2 + 1 = ... 32. 1 + 6 = ... 33. 8 + 2 = ... 34. 5 + 1 = ... 35. 8 + 1 = ... 36. 3 + 6 = ... 37. 1 + 6 = ... 38. 0 + 7 = ...

39. 5 + 3 = ...40. 3 + 1 = ... 41. 2+ 4 = ... 42. 3 + 6 = ... 43. 4 + 3 = ... 44. 5 + 4 = ... 45. 6 + 2 = ... 46. 8 + 1 = ... 47. 7 + 2 = ... 48. 1 + 4 = ... 49. 2 + 2 = ... 50. 3 + 3 = ... 51. 1 + ... = 952. 2 + ... = 953. 3 + ... = 954. 4 + ... = 955. 3 + ... = 956. 5 + ... = 957. 4 + ... = 9

Copyright by Page 12

Page 13: Angka dan bilangan

58. 1 + ... = 959. 3 + ... = 960. 2 + ... = 961. 0 + ... = 962. 3 + ... = 963. 2 + ... = 964. 1 + ... = 965. 2 + ... = 966. 3 + ... = 967. 1 + ... = 968. 2 + ... = 969. 0 + ... = 970. 1 + ... = 971. 2 + ... = 972. 4 + ... = 9

73. 3 + ... = 974. 5 + ... = 975. 4 + ... = 976. 3 + ... = 977. 2 + ... = 978. 0 + ... = 979. 3 + ... = 980. 2 + ... = 981. 1 + ... = 982. 1 + ... = 983. 2 + ... = 984. 3 + ... = 985. 3 + ... = 986. 1 + ... = 987. 2 + ... = 9

88. 0 + ... = 989. 5 + ... = 990. 3 + ... = 991. 0 + ... = 992. 2 + ... = 993. 3 + ... = 994. 5 + ... = 995. 4 + ... = 996. 3 + ... = 997. 2 + ... = 998. 0 + ... = 999. 3 + ... = 9100. 2 + ... = 9

Pasangan 10 Alat peraga : _________________________________________________________

Bagaimana cara mengajarnya?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

Ingat :

SS-DD-TT-EE-LL

Bagaimana mengingatnya?

Copyright by Page 13

Page 14: Angka dan bilangan

_____________________________________________________________________

Soal :

1. 1 + …… = 102. 2 + …… = 103. 3 + …… = 104. 4 + …… = 105. 5 + …… = 106. 6 + …… = 107. 7 + …… = 108. 8 + …… = 109. 9 + …… = 1010. 0 + …… = 1011. …. + 3 = 1012. ….. + 2 = 10 13. ….. + 5 = 1014. ….. + 4 = 1015. ….. + 6 = 1016. ….. + 7 = 1017. ….. + 8 = 1018. ….. + 1 = 1019. ….. + 9 = 1020. ….. + 0 = 10

21. 3 + …… = 1022. 6 + …… = 1023. 4 + …… = 1024. 7 + …… = 1025. 9 + …… = 1026. 2 + …… = 1027. ….. + 6 = 1028. ….. + 5 = 1029. 8 + …… = 1030. 3 + …… = 1031. …. + 4 = 1032. ….. + 1 = 10 33. ….. + 7 = 1034. ….. + 8 = 1035. ….. + 2 = 1036. 4 + …… = 1037. 9 + …… = 1038. ….. + 8 = 1039. 8 + …… = 1040. 9 + …… = 10

41. ….. + 9 = 1042. ….. + 3 = 1043. 0 + …… = 1044. 7 + …… = 1045. 1 + …… = 1046. ….. + 9 = 1047. ….. + 3 = 1048. ….. + 0 = 1049. 5 + …… = 1050. 9 + …… = 1051. 0 + …… = 1052. …. + 3 = 1053. ….. + 2 = 10 54. ….. + 5 = 1055. 3 + …… = 1056. …. + 4 = 1057. ….. + 5 = 10 58. ….. + 6 = 1059. 1 + …… = 1060. 2 + …… = 10

Penjumlahan 10 dengan satuan

Alat peraga : _________________________________________________________

Bagaimana cara mengajarnya?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

Copyright by Page 14

Page 15: Angka dan bilangan

_____________________________________________________________________

Soal :

1. 1 + 10 = …..2. 2 + 10 = …..3. 3 + 10 = …..4. 4 + 10 = …..5. 5 + 10 = …..6. 6 + 10 = …..7. 7 + 10 = …..8. 8 + 10 = …..9. 9 + 10 = …..10. 7 + 10 = …..11. 3 + 10 = …..12. 6 + 10 = …..13. 7 + 10 = …..14. 8 + 10 = …..15. 2 + 10 = …..16. 9 + 10 = …..17. 1 + 10 = …..18. 6 + 10 = …..19. 5 + 10 = …..20. 4 + 10 = …..

21. 2 + 10 = …..22. 7 + 10 = …..23. 8 + 10 = …..24. 9 + 10 = …..25. 2 + 10 = …..26. 5 + 10 = …..27. 8 + 10 = …..28. 9 + 10 = …..29. 10 + 1 =…..30. 10 + 2 = …..31. 10 + 3 = …..32. 10 + 4 = …..33. 10 + 5 = …..34. 10 + 6 = …..35. 10 + 7 = …..36. 10 + 8 = …..37. 10 + 8 = …..38. 10 + 5 = …..39. 1 + 10 = …..40. 10 + 8 = …..

41. 10 + 7 = …..42. 2 + 10 = …..43. 10 + 9 = …..44. 3 + 10 = …..45. 4 + 10 = …..46. 10 + 8 = …..47. 10 + 2 = …..48. 5 + 10 = …..49. 10 + 8 = …..50. 10 + 3 = …..51. 6 + 10 = …..52. 10 + 9 = …..53. 10 + 4 = …..54. 7 + 10 = …..55. 10 + 5 = …..56. 8 + 10 = …..57. 9 + 10 = …..58. 10 + 4 = …..59. 10 + 5 = …..60. 8 + 10 = …..

Hasil penjumlahan antara 10 – 20 Alat peraga : _________________________________________________________

Bagaimana cara mengajarnya?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

Copyright by Page 15

Page 16: Angka dan bilangan

Soal :1. 9 + 2 = ….2. 9 + 3 = ….3. 9 + 4 = ….4. 9 + 5 = ….5. 9 + 6 = ….6. 9 + 7 = ….7. 9 + 8 = ….8. 9 + 9 = ….9. 5 + 9 = ….10. 6 + 9 = ….11. 9 + 2 = ….12. 9 + 3 = ….13. 2 + 9 = ….14. 3 + 9 = ….15. 4 + 9 = ….16. 5 + 9 = ….17. 6 + 9 = ….18. 7 + 9 = ….19. 8 + 9 = ….20. 9 + 3 = ….

21. 9 + 4 = ….22. 5 + 9 = ….23. 7 + 9 = ….24. 9 + 9 = ….25. 9 + 6 = ….26. 9 + 9 = ….27. 2 + 9 = ….28. 9 + 8 = ….29. 2 + 9 = ….30. 3 + 9 = ….31. 9 + 4 = ….32. 9 + 5 = ….33. 9 + 6 = ….34. 9 + 8 = ….35. 2 + 9 = ….36. 9 + 9 = ….37. 4 + 9 = ….38. 9 + 4 = ….39. 7 + 9 = ….40. 4 + 9 = ….

41. 9 + 6 = ….42. 9 + 7 = ….43. 7 + 9 = ….44. 8 + 9 = ….45. 9 + 8 = ….46. 9 + 9 = ….47. 9 + 9 = ….48. 9 + 2 = ….49. 6 + 9 = ….50. 9 + 9 = ….51. 3 + 9 = ….52. 9 + 6 = ….53. 9 + 7 = ….54. 9 + 4 = ….55. 9 + 9 = ….56. 3 + 9 = ….57. 9 + 5 = ….58. 4 + 9 = ….59. 9 + 9 = ….60. 7 + 9 = ….

+ 1 2 3 4 5 6 7 8 9123456789

+ 7 3 5 4 9 6 1 8 2627

Copyright by Page 16

Page 17: Angka dan bilangan

498315

+ 4 2 6 7 5 9 1 3 8531286479

Penjumlahan dua digit dengan 1 digit (hasil penjumlahan satuannya kurang dari 10)

Alat peraga : _________________________________________________________

Bagaimana cara mengajarnya?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

Soal :

1. 32+ 4 = ...2. 42 + 6 = ...

3. 63 + 3 = ...4. 4 + 44 = ...

5. 5 + 42 = ...6. 5 + 51 = ...

Copyright by Page 17

Page 18: Angka dan bilangan

7. 6 + 72 = ...8. 1 + 44 = ...9. 45 + 2 = ...10. 46 + 3 = ...11. 45 + 4 = ...12. 8 + 51 = ...13. 9 + 50 = ...14. 3 + 62 = ...15. 2 + 56 = ...16. 3 +45 = ...17. 4 + 53 = ...18. 4 + 62 = ...19. 4 + 65 = ...20. 1 + 76 = ...21. 6 + 43 = ...22. 57 + 1 = ...23. 67 + 2 = ...24. 49 + 0 = ...

25. 68 + 1 = ...26. 73 + 1 = ...27. 8 + 10 = ...28. 7 + 32 = ...29. 6 + 41 = ...30. 5 + 54 = ...31. 2 + 61 = ...32. 1 + 76 = ...33. 8 + 81 = ...34. 5 + 31 = ...35. 8 + 21 = ...36. 23 + 6 = ...37. 31 + 6 = ...38. 40 + 7 = ...39. 65 + 3 =40. 63 + 1 = ... 41. 42+ 4 = ...42. 33 + 6 = ...

43. 64 + 3 = ...44. 55 + 4 = ...45. 36 + 2 = ...46. 68 + 1 = ...47. 7 + 32 = ...48. 1 + 44 = ...49. 2 + 52 = ...50. 3 + 43 = ...51. 1 + 55 = ...52. 6 + 51 = ...53. 8 + 61 = ...54. 2 + 72 = ...55. 1 + 76 = ...56. 3 + 41 = ...57. 4 + 43 = ...58. 3 + 42 = ...59. 2 + 55 = ...60. 1 + 71 = ...

Penjumlahan dua digit dengan 1 digit (hasil penjumlahan satuannya lebih dari 10)

Bagaimana cara mengajarnya?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

Soal :

1. 47 + 4 = ... 2. 59 + 6 = ... 3. 88 + 3 = ...

Copyright by Page 18

Page 19: Angka dan bilangan

4. 59 + 4 = ... 5. 39 + 2 = ... 6. 47 + 7 = ... 7. 67 + 6 = ... 8. 72 + 9 = ... 9. 56 + 6 = ... 10. 47 + 8 = ... 11. 63 + 9 = ... 12. 9 + 44 = ... 13. 7 + 69 = ... 14. 4 + 78 = ... 15. 5 + 86 = ... 16. 9 + 75 = ... 17. 8 + 84 = ... 18. 6 + 48 = ... 19. 5 + 38 = ... 20. 7 + 47 = ... 21. 7 + 57 = ... 22. 8 + 68 = ...

23. 4 + 27 = ... 24. 7 + 39 = ... 25. 7 + 46 = ... 26. 5 + 66 = ... 27. 4 + 78 = ... 28. 3 + 38 = ... 29. 7 + 25 = ... 30. 4 + 18 = ... 31. 3 + 69 = ... 32. 7 + 76 = ... 33. 7 + 85 = ... 34. 3 + 48 = ... 35. 7 + 37 = ... 36. 7 + 26 = ... 37. 6 + 56 = ... 38. 6 + 67 = ... 39. 6 + 36 = ...40. 7 + 76 = ... 41. 8+ 39 = ...

42. 7 + 56 = ... 43. 6 +36 = ... 44. 6 + 47 = ... 45. 7 + 88 = ... 46. 9 + 25 = ... 47. 8 + 68 = ... 48. 2 + 29 = ... 49. 3 + 39 = ... 50. 4 + 47 = ... 51. 7 + 55 = ... 52. 7 + 84 = ... 53. 3 + 68 = ... 54. 8 + 28 = ... 55. 9 + 36 = ... 56. 8 + 47 = ... 57. 5 + 38 = ... 58. 4 + 78 = ... 59. 3 + 38 = ... 60. 6 + 57 = ...

Penjumlahan dua digit dengan 2 digit dengan menyimpan.

Bagaimana cara mengajarnya?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

Soal :

Copyright by Page 19

Page 20: Angka dan bilangan

1. 27 +3 5 = ... 2. 55 + 17 = ... 3. 38 + 28 = ... 4. 39 +35 = ... 5. 39 + 30 = ... 6. 47 + 41 = ... 7. 57 + 27 = ... 8. 42 + 48 = ... 9. 46 + 37 = ... 10. 37 + 41 = ... 11. 23 + 52 = ... 12. 19 + 50 = ... 13. 11 + 56 = ... 14. 24 + 69 = ... 15. 15 + 77 = ... 16. 15 + 56 = ... 17. 55 + 35 = ... 18. 56 + 29 = ... 19. 65 + 29 = ... 20. 26 + 28 = ...

21. 47 + 38 = ... 22. 80 + 19 = ... 23. 41 + 27 = ... 24. 72 + 18 = ... 25. 17 + 76 = ... 26. 15 + 74 = ... 27. 24 + 49 = ... 28. 23 + 49 = ... 29. 17 + 66 = ... 30. 14 + 49 = ... 31. 43 + 24 = ... 32. 47 + 12 = ... 33. 57 + 26 = ... 34. 63 + 19 = ... 35. 27 + 28 = ... 36. 37 + 17 = ... 37. 26 + 17 = ... 38. 46 + 18 = ... 39. 36 + 27 = ...40. 45 + 37 = ...

41. 32+ 45 = ... 42. 71 + 17 = ... 43. 36 + 37 = ... 44. 36 + 28 = ... 45. 27 + 29 = ... 46. 19 + 56 = ... 47. 28 + 69 = ... 48. 12 + 71 = ... 49. 13 + 56 = ... 50. 24 + 48 = ... 51. 37 + 46 = ... 52. 27 + 65 = ... 53. 23 + 39 = ... 54. 28 + 29 = ... 55. 29 + 47 = ... 56. 28 + 28 = ... 57. 35 + 19 = ... 58. 34 + 49 = ... 59. 43 + 39 = ... 60. 32 + 28 = ...

Penjumlahan bilangan banyak digit

Bagaimana cara mengajarnya?

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

Copyright by Page 20

Page 21: Angka dan bilangan

________________________________________________________________

_____

________________________________________________________________

_____

Soal :

38272....

+¿

55770....

+¿

15991....

+¿

54872....

+¿

70535....

+¿

95723....

+¿

413289....

+¿

387282....

+¿

499323....

+¿

490419....

+¿

669280....

+¿

438229....

+¿

35783222

....+¿

25453355

....+¿

23782222

....+¿

2232268....

+¿

1839111....

+¿

13881122

....+¿

5444382....

+¿

665782....

+¿

65993....

+¿

33336666

....+¿

44455555

....+¿

22284882

....+¿

Penjumlahan banyak bilangan satu digit (pakai sistem coret)

Bagaimana cara mengajarnya?

________________________________________________________________

_____

Copyright by Page 21

Page 22: Angka dan bilangan

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

Soal :

986387897....

+¿

769687799....

+¿

879424384....

+¿

696297698

....+¿

988813987....

+¿

778283826....

+¿

Copyright by Page 22

Page 23: Angka dan bilangan

418759348877485579....

+¿

556698648337375496....

+¿

187263445296394849....

+¿

494362228976665538....

+¿

368578481338498863....

+¿

331337284835269223....

+¿

461877598349688877948955759....

+¿

565667987664583637937554969....

+¿

168727663446528596398488449....

+¿

469437962252889576656558387....

+¿

346855678489133538459886463....

+¿

133113371281428353426932233....

+¿

245934455454345384387667385432699745

....+¿

786786663356669935542374216798869532

....+¿

768376765576445426344454698985474532

....+¿

521694325456286556537889236989452564

....+¿

656325543468843751653547998613637732

....+¿

811545112368253486321153863471234912

....+¿

PERKALIANArti perkalian

Copyright by Page 23

Page 24: Angka dan bilangan

Alat peraga :

_________________________________________________________

Bagaimana cara mengajarnya?

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

Soal :1. Berapa roda dari 8 sepeda? Jawab: 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 8 x 2 = …2. Berapa roda dari 9 becak?3. Berapa roda dari 5 sepeda?4. Berapa roda dari 4 sepeda?5. Berapa roda dari 12 becak?6. Berapa roda dari 7 sepeda?7. Berapa roda dari 12 becak?8. Berapa roda dari 11 sepeda?9. Berapa roda dari 5 mobil?10. Berapa roda dari 3 delman?11. Berapa roda dari 6 becak?12. Berapa roda dari 8 sepeda?13. Berapa roda dari 9 delman?

Copyright by Page 24

Page 25: Angka dan bilangan

14. Berapa kaki dari 8 kuda?15. Berapa kaki dari 7 kambing?16. Berapa kaki dari 15 sapi?17. Berapa kaki dari 7 ayam?18. Berapa kaki dari 13 bebek?19. Berapa kaki dari 11 burung?20. Berapa kaki dari 3 kucing?21. Berapa kaki dari 2 lalat?22. Berapa kaki dari 8 laba-laba?23. Berapa kaki dari 11 laba-laba?24. Berapa kaki dari 7 capung?25. Berapa kaki dari 5 kepiting?26. Berapa kaki dari 4 harimau?27. Berapa kaki dari 5 singa?28. Berapa sayap dari 2 kupu kupu?29. Berapa sayap dari 8 capung?30. Berapa kaki dari 10 buaya ?31. 2 x 3 = 3 + 3 32. 3 x 3 = …….....33. 8 x 2 = …….....34. 4 x 2 = …….....35. 2 x 3 = …….....36. 4 x 5 = …….....37. 9 x 2 = …….....38. 2 x 9 = …….....39. 4 x3 = …….....40. 3 x 4 = …….....41. 10 x 10 = …….....42. 4 x 1 = …….....43. 10 x 2 = …….....44. 2 x 10 = …….....45. 6 x 2 = …….....46. 2 x 6 = …….....47. 9 x 2 = …….....48. 4 x 4 = …….....49. 2 x 6 = …….....

Copyright by Page 25

Page 26: Angka dan bilangan

50. 10 x 1 = …….....51. 1 x 10 = …….....52. 4 x 6 = …….....53. 2 x 2 = …….....54. 3 x 3 = …….....55. 4 x 4 = …….....56. 5 x 5 = …….....57. 6 x 6 = …….....58. 7 x 7 = …….....59. 8 x 8 = …….....60. 9 x 9 = …….....

Perkalian 1 (arti perkalian 1)

Alat peraga :

_________________________________________________________

Bagaimana cara mengajarnya?

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

Soal :

Copyright by Page 26

Page 27: Angka dan bilangan

1. 1 X 1 = …2. 9 X 1 = …3. 6 X 1 = …4. 4 X 1 = …5. 5 X 1 = …6. 7 X 1 = …7. 3 X 1 = …8. 2 X 1 = …9. 8 X 1 = …10. 10 X 1 = …

11. 11 X 1 = …12. 13 X 1 = …13. 15 X 1 = …14. 12 X 1 = …15. 14 X 1 = …16. 1 X 1 = …17. 1 X 7 = …18. 1 X 9 = …19. 1 X 3 = …20. 1 X 4 = …

21. 1 X 5 = …22. 1 X 8 = …23. 1 X 12 = …24. 1 X 11 = …25. 1 X 15 = …26. 1 X 13 = …27. 1 X 2 = …28. 1 X 14 = …29. 1 X 6 = …30. 1 X 10 = …

Perkalian 10

Alat peraga :

_________________________________________________________

Bagaimana cara mengajarnya?

________________________________________________________________

_____

________________________________________________________________

_____

Copyright by Page 27

Page 28: Angka dan bilangan

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

Soal :

1. 1 X 10 = …2. 9 X 10 = …3. 6 X 10 = …4. 4 X 10 = …5. 5 X 10 = …6. 7 X 10 = …7. 3 X 10 = …8. 2 X 10 = …9. 8 X 10 = …10. 10 X 10 = …11. 11 X 10 = …12. 13 X 10 = …

13. 15 X 10 = …14. 12 X 10 = …15. 14 X 10 = …16. 1 X 10 = …17. 10 X 7 = …18. 10 X 9 = …19. 10 X 3 = …20. 10 X 4 = …21. 10 X 5 = …22. 10 X 8 = …23. 10 X 12 = …24. 10 X 11 = …

25. 10 X 15 = …26. 10 X 13 = …27. 10 X 2 = …28. 10 X 14 = …29. 10 X 6 = …30. 10 X 10 = …31. .. X 10= 1032. .. X 10 = 8033. … X 10= 6034. .. X 10 = 4035. … X 10= 7036. .. X 10 = 90

Copyright by Page 28

Page 29: Angka dan bilangan

37. … X 10= 10038. .. X 10 = 3039. … X 10= 10040. .. X 10 = 80041. … X 10= 90042. .. X 10 = 12043. … X 10= 17044. .. X 10 = 280

45. … X 10= 31046. .. X 10 = 42047. … X 10= 53048. .. X 10 = 68049. … X 10= 77050. .. X 10 = 86051. … X 10= 11052. .. X 10 = 200

53. … X 10= 47054. .. X 10 = 40055. … X 10= 30056. .. X 10 = 20057. … X 10= 10058. .. X 10 = 21059. … X 10= 31060. .. X 10 = 970

Perkalian 2

Alat peraga :

_________________________________________________________

Bagaimana cara mengajarnya?

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

Copyright by Page 29

Page 30: Angka dan bilangan

________________________________________________________________

_____

________________________________________________________________

_____

Soal :

2 3 4 5 6 7 8 9

2

X 5 9 2 4 8 7 6 32

X 2 7 6 5 4 8 3 92

X 4 3 2 9 8 7 5 62

X 9 7 4 5 6 3 8 22

X 8 9 2 4 5 7 6 32

X 9 2 3 8 6 5 4 72

X 4 3 2 9 8 7 5 62

Perkalian 9

Alat peraga :

_________________________________________________________

Copyright by Page 30

Page 31: Angka dan bilangan

Bagaimana cara mengajarnya?

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

Soal :

1. 1 x 9 = ...2. 2 x 9 = ...3. 3 x 9 = ...4. 4 x 9 = ...5. 5 x 9 = ...6. 6 x 9 = ...7. 7 x 9 = ...8. 8 x 9 = ...

9. 9 x 9 = ...10. 10 x 9 =...11. 9 x 1 = ...12. 9 x 2 = ...13. 9 x 3 = ...14. 9 x 4 = ...15. 9 x 5 = ...16. 9 x 6 = ...

17. 9 x 7 = ...18. 9 x 8 = ...19. 9 x 9 = ...20. 9 x 10 = ...21. 2 x 9 = ...22. 10 x 9 = ...23. 9 x 8 = ...24. 4 x 9 = ...

Copyright by Page 31

Page 32: Angka dan bilangan

25. 9 x 10 = ...26. 5 x 9 = ...27. 9 x 1 = ...28. 8 x 9 = ...29. 9 x 5 = ...30. 1 x 9 = ...31. 9 x 3 = ...32. 9 x 4 = ...33. 6 x 9 = ...34. 9 x 9 = ...35. 9 x 6 = ...36. 7 x 9 = ...

37. 3 x 9 = ...38. 9 x 9 = ...39. 9 x 2 = ...40. 9 x 7 = ...41. 2 x 9 = ...42. 10 x 9 = ...43. 9 x 8 = ...44. 4 x 9 = ...45. 9 x 10 = ...46. 5 x 9 = ...47. 9 x 1 = ...48. 8 x 9 = ...

49. 9 x 5 = ...50. 1 x 9 = ...51. 9 x 3 = ...52. 9 x 4 = ...53. 6 x 9 = ...54. 9 x 9 = ...55. 9 x 6 = ...56. 7 x 9 = ...57. 3 x 9 = ...58. 9 x 9 = ...59. 9 x 2 = ...60. 9 x 7 = ...

Perkalian 5

Alat peraga :

_________________________________________________________

Bagaimana cara mengajarnya?

________________________________________________________________

_____

Copyright by Page 32

Page 33: Angka dan bilangan

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

Soal :Tahap 1

X 2 3 4 5 95

X 5 9 2 4 35

X 2 5 4 3 95

X 4 3 2 9 55

X 9 4 5 3 25

X 9 2 4 5 35

X 9 2 3 5 45

Tahap 21. 6 x 5 =... 2. 5 x 6 =...

Copyright by Page 33

Page 34: Angka dan bilangan

3. 7 x 5 = ...4. 5 x 7 = ...5. 5 x 6 = ...6. 5 x 7 =... 7. 7 x 5 = ...8. 6 x 5 = ...9. 6 x 5 = ...10. 5 x 7 = ...11. 7 x 5 =...12. 6 x 5 = ...13. 5 x 6 = ...14. 7 x 5 = ...15. 5 x 7 = ...16. 5 x 6 = ...17. 5 x 7 = ...18. 7 x 5 = ...19. 6 x 5 = ...20. 6 x 5 = ...21. 5 x 7 = ...

22. 7 x 5 =...23. 6 x 5 = ...24. 5 x 6 = ...25. 6 x 5 = ...26. 6 x 5 = ...27. 5 x 7 = ...28. 7 x 5 = ...29. 5 x 7 = ...30. 5 x 6 = ...31. 5 x 7 = ...32. 7 x 5 = ...33. 7 x 5 =...34. 5 x 6 = ...35. 7 x 5 = ...36. 5 x 7 = ...37. 5 x 6 = ...38. 5 x 7 = ...39. 7 x 5 = ...40. 6 x 5 = ...

41. 6 x 5 = ...42. 5 x 7 = ...43. 7 x 5 =...44. 6 x 5 = ...45. 5 x 6 = ...46. 6 x 5 = ...47. 6 x 5 = ...48. 5 x 7 = ...49. 7 x 5 = ...50. 5 x 7 = ...51. 5 x 6 = ...52. 5 x 7 = ...53. 7 x 5 = ...54. 7 x 5 =...55. 5 x 6 = ...56. 7 x 5 = ...57. 5 x 7 = ...58. 5 x 6 = ...59. 5 x 7 = ...

Copyright by Page 34

Page 35: Angka dan bilangan

60. 7 x 5 = ...61. 6 x 5 = ...62. 6 x 5 = ...63. 5 x 7 = ...64. 7 x 5 =...65. 6 x 5 = ...66. 5 x 6 = ...67. 6 x 5 = ...68. 6 x 5 = ...69. 5 x 7 = ...70. 7 x 5 = ...71. 5 x 7 = ...72. 5 x 6 = ...73. 5 x 7 = ...74. 7 x 5 = ...75. 7 x 5 =...76. 5 x 6 = ...77. 7 x 5 = ...78. 5 x 7 = ...

79. 5 x 6 = ...80. 5 x 7 = ...81. 7 x 5 = ...82. 6 x 5 = ...83. 6 x 5 = ...84. 5 x 7 = ...85. 7 x 5 =...86. 6 x 5 = ...87. 5 x 6 = ...88. 6 x 5 = ...89. 6 x 5 = ...90. 5 x 7 = ...91. 7 x 5 = ...92. 5 x 7 = ...93. 5 x 6 = ...94. 5 x 7 = ...95. 7 x 5 = ...96. 7 x 5 =...97. 5 x 6 = ...

98. 7 x 5 = ...99. 5 x 7 = 100. 5 x 6 = ...101. 5 x 7 = ...102. 7 x 5 = ...103. 6 x 5 = ...104. 8 x 5 = ...105. 6 x 5 = ...106. 5 x 7 = ...107. 5 x 8 = ...108. 7 x 5 =...109. 8 x 5 = ...110. 6 x 5 = ...111. 8 x 5 = ...112. 5 x 6 = ...113. 8 x 5 = ...114. 6 x 5 = ...115. 5 x 8 = ...116. 6 x 5 = ...

Copyright by Page 35

Page 36: Angka dan bilangan

117. 5 x 7 = ...118. 5 x 8 = ...119. 7 x 5 = ...120. 5 x 8 = ...121. 5 x 7 = ...122. 8 x 5 = ...123. 5 x 6 = ...124. 5 x 7 = ...125. 7 x 5 = ...126. 7 x 5 =...127. 7 x 5 = ...128. 6 x 5 = ...129. 8 x 5 = ...130. 6 x 5 = ...131. 5 x 7 = ...132. 5 x 8 = ...133. 7 x 5 =...134. 8 x 5 = ...135. 6 x 5 = ...

136. 8 x 5 = ...137. 5 x 6 = ...138. 8 x 5 = ...139. 6 x 5 = ...140. 5 x 8 = ...141. 6 x 5 = ...142. 5 x 7 = ...143. 5 x 8 = ...144. 7 x 5 = ...145. 5 x 8 = ...146. 5 x 7 = ...147. 8 x 5 = ...148. 5 x 6 = ...149. 5 x 7 = ...150. 7 x 5 = ...151. 7 x 5 = ...152. 6 x 5 = ...153. 8 x 5 = ...

154. 6 x 5 = ...155. 5 x 7 = ...156. 5 x 8 = ...157. 7 x 5 =...158. 8 x 5 = ...159. 6 x 5 = ...160. 8 x 5 = ...161. 5 x 6 = ...162. 8 x 5 = ...163. 6 x 5 = ...164. 5 x 8 = ...165. 6 x 5 = ...166. 5 x 7 = ...167. 5 x 8 = ...168. 7 x 5 = 169. 5 x 8 = 170. 5 x 7 = 171. 8 x 5 = 172. 5 x 6 = ...173. 5 x 7 = ...

Copyright by Page 36

Page 37: Angka dan bilangan

174. 7 x 5 = ...175. 7 x 5 = ...176. 6 x 5 = ...177. 8 x 5 = ...178. 6 x 5 = ...179. 5 x 7 = ...180. 5 x 8 = ...181. 7 x 5 =...182. 8 x 5 =... 183. 6 x 5 = ...184. 8 x 5 = ...185. 5 x 6 = ...186. 8 x 5 = ...187. 6 x 5 = ...188. 5 x 8 = ...189. 6 x 5 = ...190. 5 x 7 = ...191. 5 x 8 = ...192. 7 x 5 = ...

193. 5 x 8 = ...194. 5 x 7 = ...195. 8 x 5 = ...196. 5 x 6 = ...197. 5 x 7 = ...198. 7 x 5 = ...199. 7 x 5 = ...200. 6 x 5 = ...201. 8 x 5 = ...202. 6 x 5 = ...203. 5 x 7 = ...204. 5 x 8 = ...205. 7 x 5 =...206. 8 x 5 = ...207. 6 x 5 = ...208. 8 x 5 = ...209. 5 x 6 = ...210. 8 x 5 = ...

211. 6 x 5 = ...212. 5 x 8 = ...213. 6 x 5 = ...214. 5 x 7 = ...215. 5 x 8 = ...216. 7 x 5 = ...217. 5 x 8 = ...218. 5 x 7 = ...219. 8 x 5 = ...220. 5 x 6 = ...221. 5 x 7 = ...222. 7 x 5 = ...223. 7 x 5 = ...224. 6 x 5 = ...225. 8 x 5 = ...226. 6 x 5 = ...227. 5 x 7 = ...228. 5 x 8 = ...

Copyright by Page 37

Page 38: Angka dan bilangan

229. 7 x 5 =...230. 8 x 5 = ...231. 6 x 5 = ...232. 8 x 5 = ...

233. 5 x 6 = ...234. 8 x 5 = ...235. 6 x 5 = ...236. 5 x 8 = ...

237. 6 x 5 = ...238. 5 x 7 = ...239. 5 x 8 = ...240. 7 x 5 = ...

X 8 6 75

X 6 8 75

X 6 7 85

X 8 7 65

X 7 6 85

X 8 7 65

X 6 8 75

Tahap 3

X 6 7 85

X 8 7 65

X 7 6 85

X 8 7 65

X 7 6 85

X 8 7 65

X 8 6 75

X 2 3 4 5 6 7 8 95

X 5 9 2 4 8 7 6 35

X 2 7 6 5 4 8 3 9

Copyright by Page 38

Page 39: Angka dan bilangan

5

X 4 3 2 9 8 7 5 65

X 9 7 4 5 6 3 8 25

Kuadrat

Alat peraga :

_________________________________________________________

Bagaimana cara mengajarnya?

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

Soal :

1. 1 x 1 = ...

2. 2 x 2 = ...

3. 3 x 3 = ...

Copyright by Page 39

Page 40: Angka dan bilangan

4. 4 x 4 = ...5. 5 x 5 = ...6. 6 x 6 = ...7. 7 x 7 = ...8. 8 x 8 = ...9. 9 x 9 = ...10. 10 x 10 = ...11. 8 x 8 = ...12. 1 x 1 = ...13. 4 x 4 = ...14. 2 x 2 = ...15. 10 x 10 = ...16. 5 x 5 = ...17. 3 x 3 = ...18. 6 x 6 = ...19. 7 x 7 = ...20. 9 x 9 = ...21. 8 x 8 = ...

22. 1 x 1 = ...23. 7 x 7 = ...24. 2 x 2 = ...25. 9 x 9 = ...26. 3 x 3 = ...27. 10 x 10 = ...28. 4 x 4 = ...29. 5 x 5 = ...30. 6 x 6 = ...31. 8 x 8 = ...32. 4 x 4 = ...33. 7 x 7 = ...34. 2 x 2 = ...35. 10 x 10 = ...36. 5 x 5 = ...37. 1 x 1 = ...38. 3 x 3 = ...39. 6 x 6 = ...

40. 9 x 9 = ...41. 6 x 6 = ...42. 8 x 8 = ...43. 1 x 1 = ...44. 3 x 3 = ...45. 7 x 7 = ...46. 5 x 5 = ...47. 2 x 2 = ...48. 9 x 9 = ...49. 10 x 10 = ...50. 4 x 4 = ...51. 9 x 9 = 52. 6 x 6 = 53. 8 x 8 = 54. 4 x 4 = 55. 7 x 7 = ...56. 10 x 10 = ...57. 5 x 5 = ...58. 1 x 1 = ...59. 2 x 2 = ...

Copyright by Page 40

Page 41: Angka dan bilangan

60. 3 x 3 = ...61. 3 x 3 = ...62. 6 x 6 = ...63. 7 x 7 = ...64. 5 x 5 = ...65. 1 x 1 = ...66. 8 x 8 = ...67. 2 x 2 = ...68. 9 x 9 = ...69. 4 x 4 = ...70. 10 x 10 = ...71. 7 x 7 = ...72. 8 x 8 = ...73. 1 x 1 = ...74. 9 x 9 = ...75. 4 x 4 = ...76. 6 x 6 = ...77. 3 x 3 = ...

78. 2 x 2 = ...79. 10 x 10 = ...80. 5 x 5 = ...81. 5 x 5 = ...82. 1 x 1 = ...83. 7 x 7 = ...84. 2 x 2 = ...85. 8 x 8 = ...86. 9 x 9 = ...87. 3 x 3 = ...88. 4 x 4 = ...89. 10 x 10 = ...90. 6 x 6 = ...91. 4 x 4 = ...92. 7 x 7 = ...93. 6 x 6 = ...94. 2 x 2 = ...95. 10 x 10 = ...

96. 5 x 5 = ...97. 1 x 1 = ...98. 9 x 9 = ...99. 3 x 3 = ...100. 8 x 8 = ...101. 4 x 4 = ...102. 2 x 2 = ...103. 6 x 6 = ...104. 1 x 1 = ...105. 3 x 3 = ...106. 7 x 7 = ...107. 10 x 10 =...108. 8 x 8 = ...109. 5 x 5 = ...110. 9 x 9 = ...111. 6 x 6 = ...112. 4 x 4 = ...113. 7 x 7 = ...

Copyright by Page 41

Page 42: Angka dan bilangan

114. 3 x 3 = ...115. 9 x 9 = ...116. 1 x 1 = ...117. 10 x 10 =...118. 8 x 8 = ...119. 5 x 5 = ...120. 2 x 2 = ...121. 1 x 1 = ...122. 2 x 2 = ...123. 3 x 3 = ...124. 3 x 3 = ...125. 6 x 6 = ...126. 7 x 7 = ...

127. 5 x 5 = ...128. 1 x 1 = ...129. 8 x 8 = ...130. 2 x 2 = ...131. 9 x 9 = ...132. 4 x 4 = ...133. 10 x 10 =...134. 7 x 7 = ...135. 8 x 8 = ...136. 1 x 1 = ...137. 9 x 9 = ...138. 4 x 4 = ...139. 6 x 6 = ...

140. 3 x 3 = ...141. 2 x 2 = ...142. 10 x 10 =...143. 5 x 5 = ...144. 5 x 5 = ...145. 1 x 1 = ...146. 7 x 7 = ...147. 2 x 2 = ...148. 8 x 8 = ...149. 9 x 9 = ...150. 3 x 3 = ...

Perkalian 3 Alat peraga :

_________________________________________________________

Bagaimana cara mengajarnya?

________________________________________________________________

_____

Copyright by Page 42

Page 43: Angka dan bilangan

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

_____________________________________________________________________

Soal :

1. 6 x 3 = ...2. 3 x 6 = ...3. 7 x 3 = ...4. 3 x 7 = ...5. 3 x 6 = ...6. 3 x 7 = ...7. 7 x 3 = ...8. 6 x 3 = ...9. 6 x 3 = ...10. 3 x 7 = ...

11. 7 x 3 =...12. 6 x 3 = ...13. 3 x 6 = ...14. 7 x 3 = ...15. 3 x 7 = ...16. 3 x 6 = ...17. 3 x 7 = ...18. 7 x 3 = ...19. 6 x 3 = ...20. 6 x 3 = ...

21. 3 x 7 = ...22. 7 x 3 =...23. 6 x 3 = ...24. 3 x 6 = ...25. 6 x 3 = ...26. 6 x 3 = ...27. 3 x 7 = ...28. 7 x 3 = ...29. 3 x 7 = ...30. 3 x 6 = ...

Copyright by Page 43

Page 44: Angka dan bilangan

31. 3 x 7 = ...32. 7 x 3 = ...33. 7 x 3 =...34. 3 x 6 = ...35. 7 x 3 = ...36. 3 x 7 = ...37. 3 x 6 = ...38. 3 x 7 = ...39. 7 x 3 = ...40. 6 x 3 = ...41. 6 x 3 = ...42. 3 x 7 = ...43. 7 x 3 =...44. 6 x 3 = ...45. 3 x 6 = ...46. 6 x 3 = ...47. 6 x 3 = ...48. 3 x 7 = ...49. 7 x 3 = ...

50. 3 x 7 = ...51. 3 x 6 = ...52. 3 x 7 = ...53. 7 x 3 = ...54. 7 x 3 =...55. 3 x 6 = ...56. 7 x 3 = ...57. 3 x 7 = ...58. 3 x 6 = 59. 3 x 7 = 60. 7 x 3 = 61. 6 x 3 = 62. 6 x 3 = ...63. 3 x 7 = ...64. 7 x 3 =...65. 6 x 3 = ...66. 3 x 6 = ...67. 6 x 3 = ...68. 6 x 3 = ...69. 3 x 7 = ...70. 7 x 3 = ...

71. 3 x 7 = ...72. 3 x 6 = ...73. 3 x 7 = ...74. 7 x 3 = ...75. 7 x 3 =...76. 3 x 6 = ...77. 7 x 3 = ...78. 3 x 7 = ...79. 3 x 6 = ...80. 3 x 7 = ...81. 7 x 3 = ...82. 6 x 3 = ...83. 6 x 3 = ...84. 3 x 7 = ...85. 7 x 3 =...86. 6 x 3 = ...87. 3 x 6 = ...88. 6 x 3 = ...89. 6 x 3 = ...

Copyright by Page 44

Page 45: Angka dan bilangan

90. 3 x 7 = ...91. 7 x 3 = ...92. 3 x 7 = ...93. 3 x 6 = ...94. 3 x 7 = ...95. 7 x 3 = ...96. 7 x 3 =...97. 3 x 6 = ...98. 7 x 3 = ...99. 3 x 7 = ...100. 3 x 6 = ...101. 3 x 7 = ...102. 7 x 3 = ...103. 6 x 3 = ...104. 8 x 3 = ...105. 6 x 3 = ...106. 3 x 7 = ...107. 3 x 8 = ...108. 7 x 3 =...

109. 8 x 3 = ...110. 6 x 3 = ...111. 8 x 3 = ...112. 3 x 6 = ...113. 8 x 3 = ...114. 6 x 3 = ...115. 3 x 8 = ...116. 6 x 3 = ...117. 3 x 7 = ...118. 3 x 8 = ...119. 7 x 3 = ...120. 3 x 8 = ...121. 3 x 7 = ...122. 8 x 3 = ...123. 3 x 6 = ...124. 3 x 7 = ...125. 7 x 3 = ...126. 7 x 3 =...

127. 7 x 3 = ...128. 6 x 3 = ...129. 8 x 3 = ...130. 6 x 3 = ...131. 3 x 7 = ...132. 3 x 8 = ...133. 7 x 3 =...134. 8 x 3 = ...135. 6 x 3 = ...136. 8 x 3 = ...137. 3 x 6 = ...138. 8 x 3 = ...139. 6 x 3 = ...140. 3 x 8 = ...141. 6 x 3 = ...142. 3 x 7 = ...143. 3 x 8 = ...144. 7 x 3 = ...

Copyright by Page 45

Page 46: Angka dan bilangan

145. 3 x 8 = ...146. 3 x 7 = ...

147. 8 x 3 = ...148. 3 x 6 = ...

149. 3 x 7 = ...150. 7 x 3 = ...

Perkalian 4

Alat peraga :

_________________________________________________________

Bagaimana cara mengajarnya?

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

_____________________________________________________________________

Soal :

1. 6 x 4 = ...2. 4 x 6 = ...3. 7 x 4 = ...

4. 4 x 7 = ...5. 4 x 6 = ...6. 4 x 7 = ...

7. 7 x 4 = ...8. 6 x 4 = ...9. 6 x 4 = ...

Copyright by Page 46

Page 47: Angka dan bilangan

10. 4 x 7 = ...11. 7 x 4 =...12. 6 x 4 = ...13. 4 x 6 = ...14. 7 x 4 = ...15. 4 x 7 = ...16. 4 x 6 = ...17. 4 x 7 = ...18. 7 x 4 = ...19. 6 x 4 = ...20. 6 x 4 = ...21. 4 x 7 = ...22. 7 x 4 =...23. 6 x 4 = ...24. 4 x 6 = ...25. 6 x 4 = ...26. 6 x 4 = ...27. 4 x 7 = ...28. 7 x 4 = ...

29. 4 x 7 = ...30. 4 x 6 = ...31. 4 x 7 = ...32. 7 x 4 = ...33. 7 x 4 =...34. 4 x 6 = ...35. 7 x 4 = ...36. 4 x 7 = ...37. 4 x 6 = ...38. 4 x 7 = ...39. 7 x 4 = ...40. 6 x 4 = ...41. 6 x 4 = ...42. 4 x 7 = ...43. 7 x 4 =...44. 6 x 4 = ...45. 4 x 6 = ...46. 6 x 4 = ...47. 6 x 4 = ...

48. 4 x 7 = ...49. 7 x 4 = ...50. 4 x 7 = ...51. 4 x 6 = ...52. 4 x 7 = ...53. 7 x 4 = ...54. 7 x 4 =...55. 4 x 6 = ...56. 7 x 4 = ...57. 4 x 7 = ...58. 4 x 6 = ...59. 4 x 7 = ...60. 7 x 4 = ...61. 6 x 4 = 62. 6 x 4 = 63. 4 x 7 = 64. 7 x 4 =...65. 6 x 4 = ...66. 4 x 6 = ...67. 6 x 4 = ...

Copyright by Page 47

Page 48: Angka dan bilangan

68. 6 x 4 = ...69. 4 x 7 = ...70. 7 x 4 = ...71. 4 x 7 = ...72. 4 x 6 = ...73. 4 x 7 = ...74. 7 x 4 = ...75. 7 x 4 =...76. 4 x 6 = ...77. 7 x 4 = ...78. 4 x 7 = ...79. 4 x 6 = ...80. 4 x 7 = ...81. 7 x 4 = ...82. 6 x 4 = ...83. 6 x 4 = ...84. 4 x 7 = ...85. 7 x 4 =...86. 6 x 4 = ...

87. 4 x 6 = ...88. 6 x 4 = ...89. 6 x 4 = ...90. 4 x 7 = ...91. 7 x 4 = ...92. 4 x 7 = ...93. 4 x 6 = ...94. 4 x 7 = ...95. 7 x 4 = ...96. 7 x 4 =...97. 4 x 6 = ...98. 7 x 4 = ...99. 4 x 7 = ...100. 4 x 6 = ...101. 4 x 7 = ...102. 7 x 4 = ...103. 6 x 4 = ...104. 8 x 4 = ...

105. 6 x 4 = ...106. 4 x 7 = ...107. 4 x 8 = ...108. 7 x 4 =...109. 8 x 4 = ...110. 6 x 4 = ...111. 8 x 4 = ...112. 4 x 6 = ...113. 8 x 4 = ...114. 6 x 4 = ...115. 4 x 8 = ...116. 6 x 4 = ...117. 4 x 7 = ...118. 4 x 8 = ...119. 7 x 4 = ...120. 4 x 8 = ...121. 4 x 7 = ...122. 8 x 4 = ...

Copyright by Page 48

Page 49: Angka dan bilangan

123. 4 x 6 = ...124. 4 x 7 = ...125. 7 x 4 = ...126. 7 x 4 =...127. 7 x 4 = ...128. 6 x 4 = ...129. 8 x 4 = ...130. 6 x 4 = ...131. 4 x 7 = ...132. 4 x 8 = ...

133. 7 x 4 =...134. 8 x 4 = ...135. 6 x 4 = ...136. 8 x 4 = ...137. 4 x 6 = ...138. 8 x 4 = ...139. 6 x 4 = ...140. 4 x 8 = ...141. 6 x 4 = ...142. 4 x 7 = ...

143. 4 x 8 = ...144. 7 x 4 = ...145. 4 x 8 = ...146. 4 x 7 = ...147. 8 x 4 = ...148. 4 x 6 = ...149. 4 x 7 = ...150. 7 x 4 = …

Perkalian 6,7,8

Alat peraga :

_________________________________________________________

Bagaimana cara mengajarnya?

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

Copyright by Page 49

Page 50: Angka dan bilangan

________________________________________________________________

_____

_____________________________________________________________________

Soal :

1. 6 x 7 = ...2. 7 x 6 = ...3. 6 x 8 = ...4. 7 x 6 = ...5. 6 x 8 = ...6. 6 x 8 = ...7. 6 x 7 = ...8. 6 x 8 = ...9. 6 x 7 = ...10. 6 x 8 = ...11. 6 x 8 =...12. 6 x 7 = ...13. 7 x 6 = ...14. 6 x 8 = ...

15. 7 x 6 = ...16. 6 x 8 = ...17. 6 x 8 = ...18. 6 x 7 = ...19. 6 x 8 = ...20. 6 x 7 = ...21. 6 x 8 = ...22. 6 x 8 =...23. 6 x 7 = ...24. 6 x 8 = ...25. 7 x 6 = ...26. 6 x 7 = ...27. 6 x 8 = ...28. 6 x 7 = ...

29. 6 x 8 = ...30. 7 x 6 = ...31. 6 x 8 = ...32. 6 x 8 =...33. 7 x 6 = ...34. 6 x 8 = ...35. 6 x 8 = ...36. 7 x 6 = ...37. 6 x 8 = ...38. 6 x 7 = ...39. 6 x 8 = ...40. 6 x 7 = ...41. 6 x 8 = ...42. 6 x 7 = ...

Copyright by Page 50

Page 51: Angka dan bilangan

43. 7 x 6 = ...44. 6 x 7 = ...45. 6 x 8 =...46. 6 x 7 = ...47. 6 x 8 = ...48. 6 x 8 = ...49. 6 x 8 = ...50. 7 x 6 = ...51. 6 x 8 = ...52. 6 x 8 = ...53. 6 x 8 =...54. 7 x 6 = ...55. 6 x 8 = ...56. 6 x 8 = ...57. 7 x 6 = ...58. 6 x 8 = ...59. 6 x 8 = ...60. 6 x 7 = ...61. 6 x 8 = ...

62. 6 x 7 = ...63. 6 x 8 = ...64. 6 x 8 =...65. 6 x 7 = ...66. 7 x 6 = ...67. 6 x 7 = ...68. 6 x 7 = ...69. 6 x 8 = ...70. 6 x 8 = ...71. 6 x 8 = ...72. 7 x 6 = ...73. 6 x 8 = ...74. 6 x 8 = ...75. 6 x 8 =...76. 7 x 6 = ...77. 6 x 8 = ...78. 6 x 8 = ...79. 7 x 6 = ...80. 6 x 8 = ...

81. 6 x 8 = ...82. 6 x 7 = ...83. 6 x 7 = ...84. 6 x 8 = ...85. 6 x 8 =...86. 6 x 7 = ...87. 7 x 6 = ...88. 6 x 7 = ...89. 6 x 7 = ...90. 6 x 8 = ...91. 6 x 8 = ...92. 6 x 8 = ...93. 7 x 6 = ...94. 6 x 8 =...95. 6 x 8 = ...96. 6 x 8 = ...97. 7 x 6 = ...98. 6 x 8 = ...99. 6 x 8 = ...

Copyright by Page 51

Page 52: Angka dan bilangan

100. 7 x 6 = ...101. 6 x 8 = ...102. 6 x 8 = ...103. 6 x 7 = ...104. 8 x 7 = ...105. 6 x 7 = ...106. 6 x 8 = ...107. 7 x 8 = ...108. 6 x 8 =...109. 8 x 7 = ...110. 6 x 7 = ...111. 8 x 7 = ...112. 7 x 6 = ...113. 8 x 7 = ...114. 6 x 7 = ...115. 7 x 8 = ...116. 6 x 7 = ...

117. 6 x 8 = ...118. 7 x 8 = ...119. 6 x 8 = ...120. 7 x 8 = ...121. 6 x 8 = ...122. 8 x 7 = ...123. 7 x 6 = ...124. 6 x 8 = ...125. 6 x 8 = ...126. 6 x 8 = ...127. 6 x 8 = ...128. 6 x 7 = ...129. 8 x 7 = ...130. 6 x 7 = ...131. 6 x 8 = ...132. 7 x 8 = ...133. 6 x 8 = ...

134. 8 x 7 = ...135. 6 x 7 = ...136. 8 x 7 = ...137. 7 x 6 = ...138. 8 x 7 = ...139. 6 x 7 = ...140. 7 x 8 = ...141. 6 x 7 = ...142. 6 x 8 = ...143. 7 x 8 = ...144. 6 x 8 = ...145. 7 x 8 = ...146. 6 x 8 = ...147. 8 x 7 = ...148. 7 x 6 = ...149. 6 x 8 = ...150. 6 x 8 = ...

Copyright by Page 52

Page 53: Angka dan bilangan

X 1 2 3 4 5 6 7 8 9 10

1

2

3

4

5

6

7

8

9

10

Review perkalian 1 sampai 10

X 9 6 8 4 3 2 7 5 10

1

5

1

3

2

6

107

8

9

4

Copyright by Page 53

Page 54: Angka dan bilangan

Perkalian 2 digit dengan 1 digit level 1

Bagaimana cara mengajarnya?

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

_____________________________________________________________________

Soal :

1. 13 x 2 = ...2. 13 x 3 = ...3. 12 x 2 = ...4. 12 x4 = ...5. 12 x 3 =...6. 11 x 2 = ...

7. 11 x 3 = ...8. 11 x 4 = ...9. 11 x 5 =...10. 11 x 6 = ...11. 11 x 7 = ...12. 11 x 8 = ...

13. 11 x9 = ...14. 14 x 2 = ...15. 23 x 2 = ...16. 23 x 3 = ...17. 22 x 2 = ...18. 22 x4 = ...

Copyright by Page 54

Page 55: Angka dan bilangan

19. 22 x 3 =...20. 21 x 2 = ...21. 21 x 3 = ...22. 21 x 4 = ...23. 21 x 5 =...24. 21 x 6 = ...25. 21 x 7 = ...26. 21 x 8 = ...27. 21 x9 = ...28. 24 x 2 = ...29. 33 x 2 = ...30. 33 x 3 = ...31. 32 x 2 = ...32. 32 x4 = ...33. 32 x 3 =...34. 31 x 2 = ...35. 31 x 3 = ...36. 31 x 4 = ...

37. 31 x 5 =...38. 31 x 6 = ...39. 31 x 7 = ...40. 31 x 8 = ...41. 31 x9 = ...42. 34 x 2 = ...43. 43 x 2 = ...44. 43 x 3 = ...45. 42 x 2 = ...46. 42 x4 = ...47. 42 x 3 =...48. 41 x 2 = ...49. 41 x 3 = ...50. 41 x 4 = ...51. 41 x 5 =...52. 41 x 6 = ...53. 41 x 7 = ...54. 41 x 8 = ...

55. 41 x9 = ...56. 44 x 2 = ...57. 53 x 2 = ...58. 53 x 3 = ...59. 52 x 2 = ...60. 52 x4 = ...61. 52 x 3 =...62. 51 x 2 = ...63. 51 x 3 = ...64. 51 x 4 = ...65. 51 x 5 =...66. 51 x 6 = ...67. 51 x 7 = ...68. 51 x 8 = ...69. 51 x9 = ...70. 54 x 2 = ...71. 63 x 2 = ...72. 63 x 3 = ...

Copyright by Page 55

Page 56: Angka dan bilangan

73. 62 x 2 = ...74. 62 x4 = ...75. 62 x 3 =...76. 61 x 2 = ...77. 61 x 3 = ...78. 61 x 4 = ...

79. 61 x 5 =...80. 61 x 6 = ...81. 61 x 7 = ...82. 61 x 8 = ...83. 61 x9 = ...84. 64 x 2 = ...

85. 73 x 2 = ...86. 73 x 3 = ...87. 72 x 2 = ...88. 72 x4 = ...89. 72 x 3 =...90. 71 x 2 = ...

Perkalian 2 digit dengan 1 digit level 2

Bagaimana cara mengajarnya?

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

_____________________________________________________________________

Copyright by Page 56

Page 57: Angka dan bilangan

Soal :

1. 12 x 6 = ...2. 12 x 7 = ...3. 13 x 6 = ...4. 13 x 9 = ...5. 14 x 7 = ...6. 14 x 8 = ...7. 14 x 9 = ...8. 16 x 8 = ...9. 16 x 9 = ...10. 17 x 6 = ...11. 17 x 7 = ...12. 23 x 4 = ...13. 23 x 9 = ...14. 29 x 7 = ...15. 29 x 8 = ...16. 29 x 9 = ...17. 32 x 6 = ...18. 32 x 7 = ...19. 32 x 8 = ...20. 32 x 9 = ...21. 33 x 9 = ...22. 34 x 3 = ...23. 34 x 4 = ...24. 35 x 6 = ...25. 36 x 9 = ...26. 37 x 2 = ...27. 8 x 7 = ...28. 48 x 8 = ...29. 49 x 6 = ...30. 64 x 7 = ...

31. 69 x 2 = ...32. 69 x 3 = ...33. 69 x 9 = ...34. 72 x 6 = ...35. 72 x 7 = ...36. 72 x 8 = ...37. 72 x 9 = ...38. 73 x 4 = ...39. 73 x 5 = ...40. 73 x 6 = ...41. 73 x 7 = ...42. 73 x 8 = ...43. 73 x 9 = ...44. 74 x 3 = ...45. 74 x 9 = ...46. 75 x 2 = ...47. 75 x 3 = ...48. 87 x 2 = ...49. 87 x 3 = ...50. 87 x 4 = ...51. 87 x 5 = ...52. 87 x 6 = ...53. 87 x 7 = ...54. 87 x 8 = ...55. 87 x 9 = ...56. 88 x 2 = ...57. 88 x 3 = ...58. 88 x 4 = ...59. 88 x 5 = ...60. 88 x 6 = ...

61. 88 x 7 = ...62. 88 x 8 = ...63. 88 x 9 = ...64. 89 x 2 = ...65. 89 x 3 = ...66. 89 x 4 = ...67. 89 x 5 = ...68. 89 x 6 = ...69. 89 x 7 = ...70. 89 x 8 = ...71. 89 x 9 = ...72. 92 x 6 = ...73. 92 x 7 = ...74. 92 x 8 = ...75. 92 x 9 = ...76. 93 x 4 = ...77. 93 x 5 = ...78. 93 x 6 = ...79. 93 x 7 = ...80. 93 x 8 = ...81. 93 x 9 = ...82. 94 x 3 = ...83. 94 x 4 = ...84. 94 x5 = ...85. 94 x 6 = ...86. 94 x 7 = ...87. 94 x 8 = ...88. 94 x 9 = ...89. 95 x 2 = ...90. 95 x 3 = ...

Copyright by Page 57

Page 58: Angka dan bilangan

Perkalian 2 digit dengan 2 digit level 1

Bagaimana cara mengajarnya?

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

_____________________________________________________________________

Soal :

1. 11 x 11 = ...2. 11 x 12 = ...3. 11 x 13 = ...4. 11 x 14 = ...5. 11 x 15 = ...6. 11 x 16 = ...7. 11 x 17 =...8. 11 x 18 = ...9. 12 x 11 = ...10. 12 x 12 = ...

11. 12 x 13 = ...12. 12 x 14 =...13. 13 x 11 = ....14. 15 x 11 = ...15. 21 x 11 = ...16. 21 x 12 = ...17. 21 x 13 = ...18. 23 x 12 = ...19. 23 x 13 = ...20. 24 x 11 = ...

21. 25 x 11 = ...22. 26 x 11 = ...23. 27 x 11 = ...24. 31 x 11 = ...25. 31 x 12 = ...26. 32 x 11 = ...27. 32 x 12 = ...28. 33 x 11 = ...29. 33 x 12 = ...30. 34 x 11 = ...

Copyright by Page 58

Page 59: Angka dan bilangan

31. 35 x 11 = ...32. 53 x 11 = ...33. 54 x 11 = ...34. 61 x 11 = ...35. 62 x 11 = ...36. 63 x 11 = ...37. 71 x 11 = ...38. 72 x 11 = ...39. 81 x 11 = ...40. 11 x 25 = ...

41. 11 x 26 = ...42. 12 x 23 = ...43. 13 x 21 = ...44. 13 x 22 = ...45. 13 x 23 = ...46. 14 x 21 = ...47. 21 x 21 = ...48. 21 x 22 = ...49. 21 x 23 = ...50. 22 x 21 = ...

51. 22 x 22 = ...52. 23 x 21 = ...53. 31 x 21 = ...54. 31 x 22= ...55. 32 x 21 = ...56. 33 x 21 = ...57. 41 x 21 = ...58. 31 x 22 = ...59. 32 x 21 = ...60. 33 x 21 = ...

Perkalian 2 digit kali 2 digit level 2

Bagaimana cara mengajarnya?

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

________________________________________________________________

_____

_____________________________________________________________________

1. 12 x 15 = ...2. 12 x 16 = ...

3. 13 x 14 = ...4. 13 x 15 = ...

5. 14 x 13 = ..6. 14 x 14 = ...

Copyright by Page 59

Page 60: Angka dan bilangan

7. 15 x 12 = ...8. 15 x 13 = ...9. 16 x 12 = ...

10. 22 x 15 = ...11. 22 x 16 = ...12. 23 x 14 = ...

Perkalian dua digit dengan dua digit level 3

Bagaimana cara mengajarnya?

_______________________________________________________________

______

_______________________________________________________________

______

_______________________________________________________________

______

_______________________________________________________________

______

_____________________________________________________________________

Soal

1. 54 x 12 = ...2. 64 x 12 = ...3. 94 x 22 = ...4. 23 x 37 = ...

5. 44 x 32 = ...6. 54 x 32 = ...7. 64 x 32 = ...8. 74 x 32 = ...

9. 84 x 32 = ...10. 94 x 32 = ...11. 34 x 42 = ...12. 44 x 42 = ...

Copyright by Page 60

Page 61: Angka dan bilangan

13. 54 x 42 = ...14. 64 x 42 = ...15. 74 x 42 = ...16. 84 x 42 = ...17. 94 x 42 = ...18. 34 x 52 = ...19. 44 x 52 = ...20. 54 x 52 = ...21. 64 x 52 = ...22. 74 x 52 = ...23. 84 x 52 = ...24. 94 x 52 = ...25. 23 x 62 = ...26. 34 x 62 = ...27. 44 x 62 = ...28. 54 x 62 = ...

29. 64 x 62 = ...30. 74 x 62 = ...31. 84 x 62 = ...32. 94 x 62 = ...33. 23 x 72 = ...34. 44 x 82 = ...35. 54 x 82 = ...36. 64 x 82 = ...37. 74 x 82 = ...38. 84 x 82 = ...39. 94 x 82 = ...40. 23 x 92 = ...41. 34 x 92 = ...42. 44 x 92 = ...43. 54 x 92 = ...44. 64 x 92 = ...

45. 74 x 92 = ...46. 84 x 92 = ...47. 94 x 92 = ...48. 94 x 11 = ...49. 84 x 21 = ...50. 94 x 21 = ...51. 74 x 31 = ...52. 84 x 31 = ...53. 94 x 31 = ...54. 64 x 41 = ...55. 74 x 41 = ...56. 84 x 41 = ...57. 94 x 41 = ...58. 54 x 51 = ...59. 64 x 51 = ...60. 74 x 51 = ...

Perkalian dua digit dengan dua digit level 4

Bagaimana cara mengajarnya?

_______________________________________________________________

______

_______________________________________________________________

______

_______________________________________________________________

______

_______________________________________________________________

______

Copyright by Page 61

Page 62: Angka dan bilangan

_____________________________________________________________________

Soal

1. 87 x 83 = ...

2. 87 x 84 = ...

3. 87 x 85 = ...

4. 87 x 86 = ...

5. 87 x 88 = ...

6. 87 x 89 = ...

7. 88 x 82 = ...

8. 88 x 83 = ...

9. 88 x 84 = ...

10. 88 x 85 = ...

11. 88 x 86 = ...

12. 88 x 87 = ...

13. 88 x 88 = ...

14. 88 x 89 = ...

15. 89 x 88 = ...

16. 89 x 82 = ...

17. 89 x 83 = ...

18. 89 x 84 = ...

19. 89 x 85 = ...

20. 89 x 86 = ...

21. 89 x 87 = ...

22. 89 x 88 = ...

23. 89 x 89 = ...

24. 98 x 88 = ...

25. 98 x 89 = ...

26. 92 x 85 = ...

27. 92 x 86 =...

28. 92 x 87 = ...

29. 92 x 88 = ...

30. 92 x 89 =...

31. 93 x 84 = ...

32. 93 x 85 = ...

33. 93 x 86 = ...

34. 93 x 87 = ...

35. 93 x 88 = ...

36. 93 x 89 = ...

37. 94 x 83 = ...

38. 94 x 84 = ...

39. 94 x 85 = ...

40. 94 x 86 = ...

41. 94 x 87 = ...

42. 94 x 88 = ...

Copyright by Page 62

Page 63: Angka dan bilangan

43. 94 x 89 = ...

44. 95 x 82 = ...

45. 95 x 83 = ...

46. 95 x 86 = ...

47. 95 x 87 = ...

48. 95 x 88 = ...

49. 95 x 89 = ...

50. 96 x 82 = ...

51. 96 x 83 = ...

52. 96 x 84 = ...

53. 96 x 86 = ...

54. 96 x 87 = ...

55. 96 x 88 = ...

56. 96 x 89 = ...

57. 97 x 87 = ...

58. 97 x 88 = ...

59. 97 x 89 = ...

60. 98 x 82 = ...

61. 98 x 83 = ...

62. 98 x 84 = ...

63. 98 x 85 = ...

64. 98 x 87 = ...

65. 98 x 88 = ...

66. 98 x 89 = ...

67. 99 x 88 = ...

68. 99 x 82 = ...

69. 99 x 83 = ...

70. 99 x 84 = ...

71. 99 x 85 = ...

72. 99 x 86 = ...

73. 99 x 87 = ...

74. 99 x 88 = ...

75. 99 x 89 = ...

Perkalian bilangan dengan nol dibelakang.

Bagaimana cara mengajarnya?

_______________________________________________________________

______

_______________________________________________________________

______

Copyright by Page 63

Page 64: Angka dan bilangan

_______________________________________________________________

______

_______________________________________________________________

______

_____________________________________________________________________

Soal

1. 50 x 20 = ...2. 40 x 200 = ...3. 10 x 500 = ...4. 400 x 20 = ...5. 210 x 30 = ...6. 550 x 200 = ...7. 230 x 210 = ...8. 3100 x 5 = ...9. 45000 x 5 = ...10. 3500 x 5 = ...11. 3200 x 50 = ...12. 120 x 500 = ...13. 470 x 400 = ...14. 320 x 500 = ...15. 290 x 80 = ...16. 890 x 20 = ...17. 990 x 60 = ...18. 990 x 220 = ...19. 460 x 200 = ...20. 40 x 500 = ...21. 700 x 400 = ...22. 820 x 30 = ...23. 890 x 98 = ...

24. 990 x 110 = ...25. 290 x 220 = ...26. 450 x 450 = ...27. 8200 x 50 = ...28. 5200 x 500 = ...29. 2600 x 200 = ...30. 4200 x 500 = ...31. 7100 x 400 = ...32. 150 x 20 = ...33. 140 x 200 = ...34. 160 x 500 = ...35. 4200 x 20 = ...36. 250 x 1200 = ...37. 230 x 170 = ...38. 290 x 8900 = ...39. 8900 x 120 = ...40. 990 x 160 = ...41. 59000 x 220 =... 42. 260 x 1200 = ...43. 40 x 8500 = ...44. 700 x 9400 = ...45. 82000 x 130 = ...46. 21000 x 90 = …

Copyright by Page 64

Page 65: Angka dan bilangan

47. 890 x 9800 = ...48. 790 x 11000 = ...

49. 19000 x 220 = ...50. 45000 x 350 = ...

Perkalian tiga digit dengan 1 digit

Bagaimana cara mengajarnya?

_______________________________________________________________

______

_______________________________________________________________

______

_______________________________________________________________

______

_______________________________________________________________

______

_____________________________________________________________________

Soal

1234

....×

2136

....×

2337

....×

3212

....×

3118

....×

1215....×

\\345

6....×

5415....×

1352

....×

5345….

×

2347….

×

1459

....×

4464….

×

6568….

×

5557….

×

5436….

×

6454….

×

3333

....×

Copyright by Page 65

Page 66: Angka dan bilangan

Perkalian tiga digit dengan 2 digit dan 3 digit

Bagaimana cara mengajarnya?

_______________________________________________________________

______

_______________________________________________________________

______

_______________________________________________________________

______

_______________________________________________________________

______

_____________________________________________________________________

Soal

17624....×

56544....×

47527....×

22562....×

77638....×

24645....×

87134....×

11958....×

19847....×

17523....×

34811....×

24721....×

Copyright by Page 66

Page 67: Angka dan bilangan

99999....×

88888....×

77777....×

60324....×

50521....×

40221....×

176124....×

565446....×

475227....×

225662....×

776328....×

246455....×

871234....×

119568....×

198457....×

175236....×

348114....×

247231....×

999999....×

888888....×

777777....×

603204....×

505213....×

402201....×

Perkalian empat digit dengan 1 digit

Bagaimana cara mengajarnya?

_______________________________________________________________

______

_______________________________________________________________

______

_______________________________________________________________

______

Copyright by Page 67

Page 68: Angka dan bilangan

_______________________________________________________________

______

_____________________________________________________________________

Soal

17234....

×

21839....

×

23537....

×

32812....

×

35118

....×

15215....

×

87612....

×

11495

....×

19484....

×

17546....

×

34484....

×

24472....

×

99999....

×

88988....

×

77977....

×

60934....

×

59053....

×

49022....

×

Perkalian empat digit dengan 2,3 dan 4 digit.

Bagaimana cara mengajarnya?

_______________________________________________________________

______

_______________________________________________________________

______

_______________________________________________________________

______

Copyright by Page 68

Page 69: Angka dan bilangan

_______________________________________________________________

______

_____________________________________________________________________

Soal

17232274

....×

21832691

....×

23533237

....×

32811132

....×

35112218

....×

15213155

....×

36451516

....×

52411265

....×

11354132

....×

51345495

....×

23843771

....×

14955239

....×

4456334....

×

6256148....

×

5355267....

×

5743236....

×

6945454....

×

3393623....

×

167614....

×

567546....

×

477527....

×

226562....

×

778638....

×

245645....

×

876126....

×

114959....

×

194849....

×

175467....

×

344846....

×

244762....

×

99999999

....×

88988898

....×

77977797

....×

60932094

....×

59052193

....×

49022091

....×

Perkalian tiga bilangan

Bagaimana cara mengajarnya?

Copyright by Page 69

Page 70: Angka dan bilangan

_______________________________________________________________

______

_______________________________________________________________

______

_______________________________________________________________

______

_______________________________________________________________

______

_____________________________________________________________________

Soal :

1. 11 x 12 x 13 = ....2. 12 x 13 x 14 = ....3. 13 x 14 x 15 = ....4. 15 x 16 x 17 = ....5. 16 x 17 x 18 =....6. 17 x 18 x 19 =....7. 18 x 19 x 20 = ....8. 21 x 22 x 23 = ....9. 15 x 16 x 12 = ....10. 27 x 19 x 11 = ....11. 25 x 56 x 17 = ....12. 32 x 43 x 11 = ....13. 52 x 43 x 16 = ....14. 23 x 26 x 32 = ....15. 21 x 42 x 19 = ....

16. 27 x 78 x 14 = ....17. 48 x 44 x 22 = ....18. 21 x 17 x 18 = ....19. 24 x 28 x 29 = ....20. 81 x 83 x 13 = ....21. 62 x 52 x 43 = ....22. 48 x 42 x 16 = ....23. 24 x 28 x 29 = ....24. 21 x 71 x 38 = ....25. 25 x 78 x 39 = ....26. 57 x 13 x 91 = ....27. 22 x 25 x 21 = ....28. 27 x 73 x 64 = ....29. 45 x 76 x 28 = ....30. 17 x 8 x 45 = ....

Copyright by Page 70

Page 71: Angka dan bilangan

Soal Cerita Variasi

Bagaimana cara mengajarnya?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

Soal

1. Berapa roda 7 sepeda ? (Sepeda rodanya ada 2).2. Becak rodanya ada 3. Hitung jumlah roda 6 becak.

3. Di taman terdapat 5 pohoni bunga mawar. Tiap pohon mempunyai 3 bunga mawar. Berapa banyak bunga mawar di taman itu.

4. Rumah di perumahan SATELIT bentuk dan ukurannya sama. Tiap rumah mempunyai 6 jendela. Ada berapa jendela harus dibuat untuk memban-gun 8 rumah?

5. Regu SENANG BEKERJA berbaris dalam 3 barisan. Tiap barisan terdiri dari 9 orang, Berapa jumlah orang dalam regu SENANG BEKERJA ini?

6. Rinaldi senang berwirausaha. Ia mempunyai ternak ayam. Jumlah ayam yang ia punyai 8 ekor. Tiap ayam mampu bertelur 10 butir tiap bulan. Berapa telur diperoleh Rinaldi tiap bulan?

7. Mario mempunyai koleksi layang-layang. Ketika musim layang-layang tiba Mario membeli 3 layang-layang tiap minggunya . Hitung berapa jum-lah layang-layang Mario dalam waktu 2 minggu.

Copyright by Page 71

Page 72: Angka dan bilangan

8. Yuni mempunyai 4 tempat pensil. Di tiap tempat pensil itu ada 9 pensil. Hitung jumlah pensil yang dimiliki Yuni

9. Di dalam sekolah ada 9 kelas. Di tiap kelas ada 8 jendela. Hitung jumlah jendela pada seluruh kelas di sekolah itu.

10. Satu adonan kue memerlukan 20 telur. Berapa telur yang diperlukan un-tuk membuat 6 adonan kue?

11. Satu ayam beratnya 2 kilogram. Hitung berapa kilogram berat 7 ayam.\

12. Bang Tigor membeli 7 kilogram apel. Tiap kilogram apel rata-rata terdiri dari 6 apel. Hitung banyaknya apel yang Bang Tigor beli.

13. Paman Dodi mempunyai 8 kandang. Dalam 1 kandang terdapat 4 kamb-ing. Hitung berapa jumlah kambing Paman Dodi?

14. Nenek Tuti mempunyai 7 pohon pepaya. Pada tiap pohon terdapat 8 pe-paya. Hitung jumlah pepaya yang terdapat pada pohon pepaya Nenek Tuti.

15. Ibu Tini membuat 6 kue tart tiap hari. Hitung kue tart yang dibuat Ibu Tini dalam 5 hari

16. Leonard mempunyai 3 kucing. Tiap kucing melahirkan 6 anak. Berapa banyaknya anak kucing Leonard.

17. Ibu Lissapaly mempunyai 8 kantong kue. Satu kantong kue berisi 4 kue. Hitung banyaknya kue yang dimiliki oleh Ibu Toisuta.

18. Di rumah Pak Manurung ada 3 tumpuk majalah. Tiap tumpuk terdiri dari 9 majalah. Hitung berapa jumlah majalah dalam tumpukan itu.

Copyright by Page 72

Page 73: Angka dan bilangan

19. Satu kantong plastik dapat diisi 5 jeruk. Hitung banyaknya jeruk dapat dimuati dalam 7 kantong plastik.

20. Satu minggu 7 hari. Berapa hari dalam 8 minggu?

Copyright by Page 73