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Partial Products of 1-digit by 3-digit

Partial Products of 1-digit by 3-digit
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2017-04-06 07:49
VectorMatrixGeometric Construction
This example demonstrates the step-by-step calculation process of multiplying a 1-digit number by a 3-digit number, visually showing the formation of partial products. Core mathematical concepts include multiplication, arithmetic operations, and matrix applications. It utilizes GeoGebra commands/objects like Vector, Polygon, Random, Intersect, and Textfield. Suitable for middle school mathematics teaching, helping students understand the decomposition of multiplication operations and enhancing computational skills.

GeoGebra Commands & Parameters

  1. Vector(Q, R) → u
  2. Vector(S, T) → v
  3. Vector(U, V) → w
  4. Polygon(A, B, H, E) → poly1, a, b, h, e
  5. Polygon(E, H, I, F) → poly2, e_1, h_1, i, f
  6. Polygon(F, I, J, G) → poly3, f_1, i_1, j, g
  7. Polygon(B, C, K, H) → poly4, b_1, c, k, h_2
  8. Polygon(H, K, L, I) → poly5, h_3, k_1, l, i_2
  9. Polygon(I, L, M, J) → poly6, i_3, l_1, m, j_1
  10. Polygon(C, D, N, K) → poly7, c_1, d, n, k_2
  11. Polygon(B_1, C_1, D_1, E_1) → BoxForAnswer, b_2, c_2, d_1, e_2
  12. Random(11, 99) → random2
  13. Random(11, 999) → random1
  14. Intersect(b, b_1) → F_1
  15. Intersect(b_1, c) → G_1
  16. Polygon(F_1, G_1, 4) → poly8, p, r, s, t, H_1, I_1
  17. Polygon(I_1, H_1, 4) → poly9, a_1, g_1, m_1, n_1, J_1, K_1
  18. Polygon(K_1, J_1, 4) → poly10, p_1, q_1, r_1, s_1, L_1, M_1
  19. Textfield(inputfactoronetext) → InputFactorOne
  20. Textfield(inputfactortwotext) → InputFactorTwo

AI Drawing Prompt Reference

Create a diagram illustrating the step-by-step multiplication of a one-digit number by a three-digit number. The layout features a grid of connected rectangles, each containing numbers or symbols representing partial products. Below the grid, place a separate input box area for the two factors. Include arrows or vectors pointing to different rectangles to indicate the calculation sequence. All rectangles and input boxes should have clear outlines, with a clean, educational style.
The prompt above was compiled from the original drawing commands and is for reference only.