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Decimal Number Visualiser - Tenths and Hundredths

Decimal Number Visualiser - Tenths and Hundredths
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2020-03-30 01:36
FunctionCoordinate GeometryGeometric ConstructionSlider AnimationGraphing
This example demonstrates how to visually represent decimal numbers (tenths and hundredths) through geometric means. It involves core math concepts like decimal representation, fraction conversion, and the decimal system. Construction highlights include using GeoGebra commands like Point, Polygon, and Circle. Suitable for middle school mathematics education, helping students understand the connection between numbers and geometry, enhancing their ability to combine numerical and graphical thinking.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Point(yAxis) → B
  3. Point(xAxis) → C
  4. Polygon(A, B, C, D) → q1, a, b, c, d
  5. Point(xAxis) → E
  6. Point(xAxis) → H
  7. Polygon(F, I, J, G) → tenths2, f_1, i, j, g_1
  8. Polygon(I, K, L, J) → tenths3, i_1, k, l, j_1
  9. Polygon((7, 1.5), (7, 2), (12, 2), (12, 1.5)) → tenths4, s, tenths4_1, h_1, k_1
  10. Polygon((7, 2.5), (7, 3), (12, 3), (12, 2.5)) → tenths6, m, p, q, r
  11. Polygon((7, 2), (7, 2.5), (12, 2.5), (12, 2)) → tenths5, l_1, m_1, n_1, p_1
  12. Polygon((7, 4), (7, 4.5), (12, 4.5), (12, 4)) → tenths9, q_1, r_1, s_1, t_1
  13. Polygon((7, 4.5), (7, 5), (12, 5), (12, 4.5)) → tenths10, a_1, b_1, c_1, d_1
  14. Polygon((7, 3.5), (7, 4), (12, 4), (12, 3.5)) → tenths8, e_1, f_2, g_2, h_2
  15. Polygon((7, 3), (7, 3.5), (12, 3.5), (12, 3)) → tenths7, i_2, j_2, k_2, l_2
  16. Polygon((14.5, 0.5), (14.5, 1), 4) → poly11
  17. Polygon((15, 0.5), (15, 1), 4) → poly12
  18. Polygon((15.5, 0.5), (15.5, 1), 4) → poly13
  19. Polygon((16, 0.5), (16, 1), 4) → poly14
  20. Polygon((16.5, 0.5), (16.5, 1), 4) → poly15
  21. Polygon((17, 0.5), (17, 1), 4) → poly16
  22. Polygon((17.5, 0.5), (17.5, 1), 4) → poly17
  23. Polygon((18, 0.5), (18, 1), 4) → poly18
  24. Polygon((18.5, 0.5), (18.5, 1), 4) → poly19
  25. Polygon((14.5, 1), (14.5, 1.5), 4) → poly20
  26. Polygon((19, 0.5), (19, 1), 4) → poly21
  27. Polygon((15, 1), (15, 1.5), 4) → poly22
  28. Polygon((15.5, 1), (15.5, 1.5), 4) → poly23
  29. Polygon((116, 1), (116, 1.5), 4) → poly24
  30. Polygon((16, 1), (16, 1.5), 4) → poly25
  31. Polygon((16.5, 1), (16.5, 1.5), 4) → poly26
  32. Polygon((17, 1), (17, 1.5), 4) → poly27
  33. Polygon((17.5, 1), (17.5, 1.5), 4) → poly28
  34. Polygon((18, 1), (18, 1.5), 4) → poly29
  35. Polygon((18.5, 1), (18.5, 1.5), 4) → poly30
  36. Polygon((19, 1), (19, 1.5), 4) → poly31
  37. Polygon((14.5, 1.5), (14.5, 2), 4) → poly32
  38. Polygon((15, 1.5), (15, 2), 4) → poly32_1
  39. Polygon((15.5, 1.5), (15.5, 2), 4) → poly32_2
  40. Polygon((16, 1.5), (16, 2), 4) → poly32_3
  41. Polygon((16.5, 1.5), (16.5, 2), 4) → poly32_4
  42. Polygon((17, 1.5), (17, 2), 4) → poly32_5
  43. Polygon((17.5, 1.5), (17.5, 2), 4) → poly32_6
  44. Polygon((18, 1.5), (18, 2), 4) → poly32_7
  45. Polygon((18.5, 1.5), (18.5, 2), 4) → poly32_8
  46. Polygon((19, 1.5), (19, 2), 4) → poly32_9
  47. Polygon((14.5, 2), (14.5, 2.5), 4) → poly32_{10}
  48. Polygon((15, 2), (15, 2.5), 4) → poly32_{11}
  49. Polygon((15.5, 2), (15.5, 2.5), 4) → poly32_{12}
  50. Polygon((16, 2), (16, 2.5), 4) → poly32_{13}
  51. Polygon((16.5, 2), (16.5, 2.5), 4) → poly32_{14}
  52. Polygon((17, 2), (17, 2.5), 4) → poly32_{15}
  53. Polygon((17.5, 2), (17.5, 2.5), 4) → poly32_{16}
  54. Polygon((18, 2), (18, 2.5), 4) → poly32_{17}
  55. Polygon((18.5, 2), (18.5, 2.5), 4) → poly32_{18}
  56. Polygon((19, 2.0000000000000004), (19, 2.5000000000000004), 4) → poly32_{19}
  57. Polygon((14.5, 2.5), (14.5, 3), 4) → poly32_{20}
  58. Polygon((15, 2.5), (15, 3), 4) → poly32_{21}
  59. Polygon((15.5, 2.5), (15.5, 3), 4) → poly32_{22}
  60. Polygon((16, 2.5), (16, 3), 4) → poly32_{23}
  61. Polygon((16.5, 2.5), (16.5, 3), 4) → poly32_{24}
  62. Polygon((17, 2.5), (17, 3), 4) → poly32_{25}
  63. Polygon((17.5, 2.5), (17.5, 3), 4) → poly32_{26}
  64. Polygon((18, 2.5), (18, 3), 4) → poly32_{27}
  65. Polygon((18.5, 2.5), (18.5, 3), 4) → poly32_{28}
  66. Polygon((19, 2.5), (19, 3), 4) → poly32_{29}
  67. Polygon((14.5, 3), (14.5, 3.5), 4) → poly32_{30}
  68. Polygon((15, 3), (15, 3.5), 4) → poly32_{31}
  69. Polygon((15.5, 3), (15.5, 3.5), 4) → poly32_{32}
  70. Polygon((16, 3), (16, 3.5), 4) → poly32_{33}
  71. Polygon((16.5, 3), (16.5, 3.5), 4) → poly32_{34}
  72. Polygon((17, 3), (17, 3.5), 4) → poly32_{35}
  73. Polygon((17.5, 3), (17.5, 3.5), 4) → poly32_{36}
  74. Polygon((18, 3.0000000000000004), (18, 3.5000000000000004), 4) → poly32_{37}
  75. Polygon((18.5, 3), (18.5, 3.5), 4) → poly32_{38}
  76. Polygon((19, 3), (19, 3.5), 4) → poly32_{39}
  77. Polygon((14.5, 3.5), (14.5, 4), 4) → poly32_{40}
  78. Polygon((15, 3.5), (15, 4), 4) → poly32_{41}
  79. Polygon((15.5, 3.5), (15.5, 4), 4) → poly32_{42}
  80. Polygon((16, 3.5), (16, 4), 4) → poly32_{43}
  81. Polygon((16.5, 3.5), (16.5, 4), 4) → poly32_{44}
  82. Polygon((17, 3.5), (17, 4), 4) → poly32_{45}
  83. Polygon((17.5, 3.5), (17.5, 4), 4) → poly32_{46}
  84. Polygon((18, 3.5), (18, 4), 4) → poly32_{47}
  85. Polygon((18.5, 3.5), (18.5, 4), 4) → poly32_{48}
  86. Polygon((19, 3.5), (19, 4), 4) → poly32_{49}
  87. Polygon((14.5, 4), (14.5, 4.5), 4) → poly32_{50}
  88. Polygon((15, 4), (15, 4.5), 4) → poly32_{51}
  89. Polygon((15.5, 4), (15.5, 4.5), 4) → poly32_{52}
  90. Polygon((16, 4), (16, 4.5), 4) → poly32_{53}
  91. Polygon((16.5, 4), (16.5, 4.5), 4) → poly32_{54}
  92. Polygon((17, 4), (17, 4.5), 4) → poly32_{55}
  93. Polygon((17.5, 4.000000000000001), (17.5, 4.500000000000001), 4) → poly32_{56}
  94. Polygon((18, 4), (18, 4.5), 4) → poly32_{57}
  95. Polygon((18.5, 4.000000000000001), (18.5, 4.500000000000001), 4) → poly32_{58}
  96. Polygon((19, 4.000000000000001), (19, 4.500000000000001), 4) → poly32_{59}
  97. Polygon((14.5, 4.5), (14.5, 5), 4) → poly32_{60}
  98. Polygon((15, 4.5), (15, 5), 4) → poly32_{61}
  99. Polygon((15.5, 4.5), (15.5, 5), 4) → poly32_{62}
  100. Polygon((16, 4.5), (16, 5), 4) → poly32_{63}
  101. Polygon((16.5, 4.5), (16.5, 5), 4) → poly32_{64}
  102. Polygon((17, 4.5), (17, 5), 4) → poly32_{65}
  103. Polygon((17.5, 4.5), (17.5, 5), 4) → poly32_{66}
  104. Polygon((18, 4.5), (18, 5), 4) → poly32_{67}
  105. Polygon((18.5, 4.5), (18.5, 5), 4) → poly32_{68}
  106. Polygon((19, 4.5), (19, 5), 4) → poly32_{69}
  107. Polygon((14, 0), (14, 0.5), (14.5, 0.5), (14.5, 0)) → H1, t, m_2, n_2, p_2
  108. Polygon((15, 0), (15, 0.5), (14.5, 0.5), (14.5, 0)) → H2, q_2, r_2, s_2, t_2
  109. Polygon((15, 0), (15, 0.5), (15.5, 0.5), (15.5, 0)) → H3, a_2, b_2, c_2, d_2
  110. Polygon((16, 0), (16, 0.5), (15.5, 0.5), (15.5, 0)) → H4, e_2, f_3, g_3, h_3
  111. Polygon((16, 0), (16, 0.5), (16.5, 0.5), (16.5, 0)) → H5, i_3, j_3, k_3, l_3
  112. Polygon((17, 0), (17, 0.5), (16.5, 0.5), (16.5, 0)) → H6, m_3, n_3, p_3, q_3
  113. Polygon((17, 0), (17, 0.5), (17.5, 0.5), (17.5, 0)) → H7, r_3, s_3, t_3, a_3
  114. Polygon((18, 0), (18, 0.5), (17.5, 0.5), (17.5, 0)) → H8, b_3, c_3, d_3, e_3
  115. Polygon((18, 0), (18, 0.5), (18.5, 0.5), (18.5, 0)) → H9, f_4, g_4, h_4, i_4
  116. Polygon((19, 0), (19, 0.5), (18.5, 0.5), (18.5, 0)) → H10, j_4, k_4, l_4, m_4
  117. Polygon(G, F, E, H) → tenths1, g_5, f_5, e, h_5
  118. Circle(M, 0.1) → c_4