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Rekenrek for LZ 2 – Ten-Bead Addition Model

Rekenrek for LZ 2 – Ten-Bead Addition Model
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2017-06-20 05:04
PolygonFunctionSequenceSlider AnimationGraphing
In collections Virtual Manipulatives
This GeoGebra example presents a Dutch-style Rekenrek (arithmetic rack) designed for lower elementary level 2 (LZ 2). It features two rows of ten sliding beads each, providing a visual and tactile model for demonstrating addition of natural numbers and one-to-one correspondence. The core mathematical concepts include natural number recognition, addition, number decomposition and composition, and basic statistical characteristics such as counting beads per row. The construction uses GeoGebra commands: Segment to draw the frame, Point to position beads, Sum to compute row totals, Polygon to shape each bead, Line for alignment, and Corner to define canvas boundaries. Key objects include 20 bead points (r1b1–r1b10, r2b1–r2b10) and list/value objects like row1list and row1value for dynamic updates. This resource is ideal for grades 1–2 mathematics instruction, special education number sense activities, or interactive whiteboard demonstrations, allowing students to drag beads and visually grasp addition and subtraction.

GeoGebra Commands & Parameters

  1. Segment((0, 11), (23, 11)) → f
  2. Point(f) → A
  3. Point(f) → B
  4. Point(f) → C
  5. Point(f) → D
  6. Point(f) → E
  7. Point(f) → F
  8. Point(f) → I
  9. Point(f) → J
  10. Point(f) → G
  11. Point(f) → H
  12. Point(f) → K
  13. Point(f) → L
  14. Point(f) → M
  15. Point(f) → N
  16. Point(f) → O
  17. Point(f) → P
  18. Point(f) → Q
  19. Point(f) → R
  20. Point(f) → S
  21. Point(f) → T
  22. Sum(row1list) → row1value
  23. Segment((0, 8), (23, 8)) → g
  24. Point(g) → U
  25. Point(g) → V
  26. Point(g) → W
  27. Point(g) → Z
  28. Point(g) → A_1
  29. Point(g) → B_1
  30. Point(g) → C_1
  31. Point(g) → D_1
  32. Point(g) → E_1
  33. Point(g) → F_1
  34. Point(g) → G_1
  35. Point(g) → H_1
  36. Point(g) → I_1
  37. Point(g) → J_1
  38. Point(g) → K_1
  39. Point(g) → L_1
  40. Point(g) → M_1
  41. Point(g) → N_1
  42. Point(g) → O_1
  43. Point(g) → P_1
  44. Sum(row2list) → row2value
  45. Polygon(Q_1, R_1, S_1, T_1) → poly1, q_1, r_1, s_1, t_1
  46. Segment((0, 5), (23, 5)) → h
  47. Point(h) → U_1
  48. Point(h) → V_1
  49. Point(h) → W_1
  50. Point(h) → Z_1
  51. Point(h) → B_2
  52. Point(h) → A_2
  53. Point(h) → C_2
  54. Point(h) → D_2
  55. Point(h) → E_2
  56. Point(h) → F_2
  57. Point(h) → G_2
  58. Point(h) → H_2
  59. Point(h) → I_2
  60. Point(h) → J_2
  61. Point(h) → K_2
  62. Point(h) → L_2
  63. Point(h) → M_2
  64. Point(h) → N_2
  65. Point(h) → O_2
  66. Point(h) → P_2
  67. Segment((0, 2), (23, 2)) → i
  68. Point(i) → Q_2
  69. Point(i) → R_2
  70. Point(i) → S_2
  71. Point(i) → T_2
  72. Point(i) → U_2
  73. Point(i) → V_2
  74. Point(i) → W_2
  75. Point(i) → Z_2
  76. Point(i) → A_3
  77. Point(i) → B_3
  78. Point(i) → C_3
  79. Point(i) → D_3
  80. Point(i) → E_3
  81. Point(i) → F_3
  82. Point(i) → G_3
  83. Point(i) → H_3
  84. Point(i) → I_3
  85. Point(i) → J_3
  86. Point(i) → K_3
  87. Point(i) → L_3
  88. Sum(row3list) → row3value
  89. Sum(row4list) → row4value
  90. Line(M_3, y = 0) → j
  91. Point(j) → N_3
  92. Line(M_3, x = 0) → k
  93. Point(k) → O_3
  94. Polygon(M_3, O_3, P_3, N_3) → poly2, m_3, o_3, p_3, n_3
  95. Corner(5) → CanvasSize
  96. Sum(row5list) → row5value
  97. Segment((0, -1), (23, -1)) → l
  98. Point(l) → Q_3
  99. Point(l) → R_3
  100. Point(l) → S_3
  101. Point(l) → T_3
  102. Point(l) → U_3
  103. Point(l) → V_3
  104. Point(l) → W_3
  105. Point(l) → Z_3
  106. Point(l) → A_4
  107. Point(l) → B_4
  108. Point(l) → C_4
  109. Point(l) → D_4
  110. Point(l) → E_4
  111. Point(l) → F_4
  112. Point(l) → G_4
  113. Point(l) → H_4
  114. Point(l) → I_4
  115. Point(l) → J_4
  116. Point(l) → K_4
  117. Point(l) → L_4

AI Drawing Prompt Reference

Draw a Dutch-style arithmetic rack with two horizontal rods, each holding ten sliding beads. Start with the top rod, place ten beads evenly along it, and compute the total count for that row. Then draw the bottom rod, place ten beads similarly, and compute its total. Represent beads as polygons and rods as line segments, all within a canvas. The design supports addition and counting for early math, with beads draggable to adjust quantities.
The prompt above was compiled from the original drawing commands and is for reference only.