Long Multiplication Demonstration

Long Multiplication Demonstration
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2023-02-08 19:18
In collections Prep mathematics
This example demonstrates the process of long multiplication. It involves core concepts of multiplication. Using GeoGebra commands such as Shuffle, Polygon, Segment, etc., it dynamically shows the steps of multiplication. Suitable for high-grade elementary or junior high school students to learn multiplication.

GeoGebra Commands & Parameters

  1. Shuffle({1, 2, 3, 4}) → prob, {1, 4, 2, 3}
  2. Polygon(E, F, 4) → poly4, h_1, i_1, j_1, k_1, G, H
  3. Polygon(I, J, 4) → poly5, l_1, m_1, n_1, p_1, K, M
  4. Polygon(J, N, 4) → poly6, q_1, r_1, s_1, t_1, O, P
  5. Polygon(N, Q, 4) → poly7, e_1, f_2, g_2, h_2, R, S
  6. Polygon(Q, T, 4) → poly8, i_2, j_2, k_2, l_2, U, V
  7. Polygon(W, Z, 4) → poly9, m_2, n_2, p_2, q_2, A_1, B_1
  8. Polygon(Z, C_1, 4) → poly10, r_2, s_2, t_2, a_2, D_1, E_1
  9. Polygon(C_1, F_1, 4) → poly11, b_2, c_2, d_2, e_2, G_1, H_1
  10. Polygon(F_1, I_1, 4) → poly12, f_3, g_3, h_3, i_3, J_1, K_1
  11. Polygon(M_1, P_1, 4) → poly13, n_3, p_3, q_3, r_3, Q_1, R_1
  12. Polygon(P_1, S_1, 4) → poly14, s_3, t_3, a_3, b_3, T_1, U_1
  13. Polygon(S_1, V_1, 4) → poly15, c_3, d_3, e_3, f_4, W_1, Z_1
  14. Polygon(V_1, A_2, 4) → poly16, g_4, h_4, i_4, j_4, B_2, C_2
  15. Polygon(A_2, L_1, 4) → poly17, j_3, k_3, l_3, m_3, N_1, O_1
  16. Polygon(L_1, D_2, 4) → poly18, k_4, l_4, m_4, n_4, E_2, F_2
  17. Polygon(G_2, H_2, 4) → poly1, p_4, q_4, r_4, s_4, I_2, J_2
  18. Segment(U_2, V_2) → a_5
  19. Segment(W_2, Z_2) → b_5
  20. Shuffle(L1) → L2, {17, 15, 8, 12, 14, 4, 16, 9, 18, 3, 2, 6, 13, 7, 10, 5, 1, 11}
  21. Sort(Take[L2, 1, 5]) → L3
  22. Take(L2, 6, 18) → L4
  23. Text((p(6) * ((100 * p(1)) + (10 * p(2)) + p(3)))) → Line1
  24. Text((p(5) * ((100 * p(1)) + (10 * p(2)) + p(3)))) → Line2
  25. Text((p(4) * ((100 * p(1)) + (10 * p(2)) + p(3)))) → Line3
  26. Take(Line1, 1, 1) → Answer1
  27. Polygon(L, K_2, 4) → poly2, f, h, i, n, L_2, M_2
  28. Polygon(N_2, Q_2, 4) → poly3, q, s, t, c, R_2, S_2
  29. Take(Line1, 2, 2) → Answer2
  30. Take(Line1, 3, 3) → Answer3
  31. Take(Line1, 4, 4) → Answer4
  32. Take(Line2, 1, 1) → Answer5
  33. Take(Line2, 2, 2) → Answer6
  34. Take(Line2, 3, 3) → Answer7
  35. Take(Line2, 4, 4) → Answer8
  36. Take(Line3, 1, 1) → Answer9
  37. Take(Line3, 2, 2) → Answer10
  38. Take(Line3, 3, 3) → Answer11
  39. Take(Line3, 4, 4) → Answer12
  40. Text((((100 * p(1)) + (10 * p(2)) + p(3)) * ((100 * p(4)) + (10 * p(5)) + p(6)))) → Line4
  41. Take(Line4, 1, 1) → Answer13
  42. Take(Line4, 2, 2) → Answer14
  43. Take(Line4, 3, 3) → Answer15
  44. Take(Line4, 4, 4) → Answer16
  45. Take(Line4, 5, 5) → Answer17
  46. Take(Line4, 6, 6) → Answer18
  47. Circle(H_3, 0.4) → c_1
  48. Polygon(U_3, W_3, Z_3, A_4) → white_{s}quare, u_3, w_3, z_3, g

AI Drawing Prompt Reference

Create a dynamic illustration showing the process of long multiplication with multiple quadrilaterals and lines, using different colors and arrangements to demonstrate multiplication steps, suitable for students learning multiplication. The graphic should include several parts, each colored differently and connected by lines, visually representing the steps and results of the multiplication calculation.
The prompt above was compiled from the original drawing commands and is for reference only.