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Place Value Blocks

Place Value Blocks
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2017-05-11 17:45
Geometric Construction
In collections Concrete-Pictorial-Abstract and the Teaching for Mastery
This example demonstrates how place value blocks represent and decompose different numbers. It involves core math concepts like place value, decimal system, addition, and subtraction. GeoGebra commands used include If, Polygon, Segment, Point, and Sum for construction. Suitable for elementary mathematics education to help students understand number concepts and operations.

GeoGebra Commands & Parameters

  1. If(v ≟ true, 1, 0) → F4
  2. If((E2 > 5) ∧ (E2 < 16), 1, 0) → F2
  3. If((E1 > 5) ∧ (E1 < 16), 1, 0) → F1
  4. If((C12 < 26) ∧ (C12 > 17), 1, 0) → D12
  5. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
  6. Polygon(A_1, B_1, 4) → poly1_1, f_1, g_1, h_1, i_1, C_1, D_1
  7. Polygon(A_2, B_2, 4) → poly1_2, f_2, g_2, h_2, i_2, C_2, D_2
  8. Polygon(A_3, B_3, 4) → poly1_3, f_3, g_3, h_3, i_3, C_3, D_3
  9. Polygon(A_4, B_4, 4) → poly1_4, f_4, g_4, h_4, i_4, C_4, D_4
  10. Polygon(A_5, B_5, 4) → poly1_5, f_5, g_5, h_5, i_5, C_5, D_5
  11. Polygon(A_6, B_6, 4) → poly1_6, f_6, g_6, h_6, i_6, C_6, D_6
  12. Polygon(A_7, B_7, 4) → poly1_7, f_7, g_7, h_7, i_7, C_7, D_7
  13. Polygon(A_8, B_8, 4) → poly1_8, f_8, g_8, h_8, i_8, C_8, D_8
  14. Polygon(A_9, B_9, 4) → poly1_9, f_9, g_9, h_9, i_9, C_9, D_9
  15. Segment(E, F) → j
  16. Segment(G, H) → k
  17. Segment(I, J) → l
  18. Segment(K, L) → m
  19. Segment(K, I) → n
  20. Segment(L, J) → q
  21. Polygon(O, P, Q, R) → poly2, o, p_1, q_1, r
  22. Polygon(O_1, P_1, Q_1, R_1) → poly2_1, o_1, p_2, q_2, r_1
  23. Polygon(O_2, P_2, Q_2, R_2) → poly2_2, o_2, p_3, q_3, r_2
  24. Polygon(O_3, P_3, Q_3, R_3) → poly2_3, o_3, p_4, q_4, r_3
  25. Polygon(O_4, P_4, Q_4, R_4) → poly2_4, o_4, p_5, q_5, r_4
  26. Polygon(O_5, P_5, Q_5, R_5) → poly2_5, o_5, p_6, q_6, r_5
  27. Polygon(O_6, P_6, Q_6, R_6) → poly2_6, o_6, p_7, q_7, r_6
  28. Polygon(O_7, P_7, Q_7, R_7) → poly2_7, o_7, p_8, q_8, r_7
  29. Polygon(O_8, P_8, Q_8, R_8) → poly2_8, o_8, p_9, q_9, r_8
  30. Polygon(O_9, P_9, Q_9, R_9) → poly2_9, o_9, p_{10}, q_{10}, r_9
  31. Polygon(S, T, 4) → poly3, s, t, d, e, U_2, V_2
  32. Polygon(S_1, T_1, 4) → poly3_1, s_1, t_1, d_1, e_1, U_1, V_1
  33. Point(m) → M
  34. Point(l) → N
  35. Segment(M, N) → p
  36. If((A1 < 30) ∧ (A1 > 26), 1, 0) → B1
  37. If((A2 < 30) ∧ (A2 > 26), 1, 0) → B2
  38. If((A3 < 30) ∧ (A3 > 26), 1, 0) → B3
  39. If((A4 < 30) ∧ (A4 > 26), 1, 0) → B4
  40. If((A5 < 30) ∧ (A5 > 26), 1, 0) → B5
  41. If((A6 < 30) ∧ (A6 > 26), 1, 0) → B6
  42. If((A7 < 30) ∧ (A7 > 26), 1, 0) → B7
  43. If((A8 < 30) ∧ (A8 > 26), 1, 0) → B8
  44. If((A9 < 30) ∧ (A9 > 26), 1, 0) → B9
  45. If((A10 < 30) ∧ (A10 > 26), 1, 0) → B10
  46. Sum(B1:B10) → B11
  47. If((C1 < 26) ∧ (C1 > 17), 1, 0) → D1
  48. If((C2 < 26) ∧ (C2 > 17), 1, 0) → D2
  49. If((C3 < 26) ∧ (C3 > 17), 1, 0) → D3
  50. If((C4 < 26) ∧ (C4 > 17), 1, 0) → D4
  51. If((C5 < 26) ∧ (C5 > 17), 1, 0) → D5
  52. If((C6 < 26) ∧ (C6 > 17), 1, 0) → D6
  53. If((C7 < 26) ∧ (C7 > 17), 1, 0) → D7
  54. If((C8 < 26) ∧ (C8 > 17), 1, 0) → D8
  55. If((C9 < 26) ∧ (C9 > 17), 1, 0) → D9
  56. If((C10 < 26) ∧ (C10 > 17), 1, 0) → D10
  57. Polygon(U, V, W, Z) → poly2_{10}, o_{10}, p_{11}, q_{11}, r_{10}
  58. Polygon(S_2, T_2, 4) → poly3_2, s_2, t_2, d_2, e_2, U_3, V_3