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Times Table by Jed Butler

Times Table by Jed Butler
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2015-02-04 08:15
Geometric Construction
This example demonstrates a basic times table, useful for visualizing multiplication results. Core math concepts include multiplication, ratios, and fraction simplification. It is constructed using GeoGebra commands like Sequence, Polygon, and Element, with objects such as h_{01}, h_{02}, list1, etc. Suitable for elementary and middle school mathematics education, introducing basic multiplication and mathematical concepts.

GeoGebra Commands & Parameters

  1. Sequence(Sequence[Text[(i * j), (i, (-j))], j, 1, 12, 1], i, 1, 12, 1) → list1
  2. Sequence(Sequence[Polygon[(i - 0.25, 0.5 - j), (i + 0.75, 0.5 - j), (i + 0.75, -0.5 - j), (i - 0.25, -0.5 - j)], i, 1, 12, 1], j, 1, 12, 1) → list2
  3. Sequence(Sequence[(i + 0.75, -0.5 - j), i, 0, 12, 1], j, 0, 12, 1) → list3
  4. Polygon((0.75, -3.5), (1.75, -3.5), (1.75, -4.5), (0.75, -4.5)) → R4, i, j, k, l
  5. Polygon((0.75, -1.5), (1.75, -1.5), (1.75, -2.5), (0.75, -2.5)) → R2, a, b, c, d
  6. Polygon((0.75, -2.5), (1.75, -2.5), (1.75, -3.5), (0.75, -3.5)) → R3, b_5, c_5, d_5, e_5
  7. Polygon((0.75, -4.5), (1.75, -4.5), (1.75, -5.5), (0.75, -5.5)) → R5, j_5, k_5, l_5, m_5
  8. Polygon((0.75, -5.5), (1.75, -5.5), (1.75, -6.5), (0.75, -6.5)) → R6, n_5, p_5, q_5, r_5
  9. Polygon((0.75, -6.5), (1.75, -6.5), (1.75, -7.5), (0.75, -7.5)) → R7, s_5, t_5, a_6, b_6
  10. Polygon((0.75, -7.5), (1.75, -7.5), (1.75, -8.5), (0.75, -8.5)) → R8, c_6, d_6, e_6, f_6
  11. Polygon((0.75, -8.5), (1.75, -8.5), (1.75, -9.5), (0.75, -9.5)) → R9, g_6, h_6, i_6, j_6
  12. Polygon((0.75, -9.5), (1.75, -9.5), (1.75, -10.5), (0.75, -10.5)) → R10, k_6, l_6, m_6, n_6
  13. Polygon((0.75, -10.5), (1.75, -10.5), (1.75, -11.5), (0.75, -11.5)) → R11, p_6, q_6, r_6, s_6
  14. Polygon((0.75, -11.5), (1.75, -11.5), (1.75, -12.5), (0.75, -12.5)) → R12, t_6, a_7, b_7, c_7
  15. Polygon((1.75, -0.5), (1.75, -1.5), (2.75, -1.5), (2.75, -0.5)) → C2, d_7, e_7, f_7, g_7
  16. Polygon((2.75, -0.5), (2.75, -1.5), (3.75, -1.5), (3.75, -0.5)) → C3, h_7, i_7, j_7, k_7
  17. Polygon((3.75, -0.5), (3.75, -1.5), (4.75, -1.5), (4.75, -0.5)) → C4, l_7, m_7, n_7, p_7
  18. Polygon((4.75, -0.5), (4.75, -1.5), (5.75, -1.5), (5.75, -0.5)) → C5, m, n, p, q
  19. Polygon((5.75, -0.5), (5.75, -1.5), (6.75, -1.5), (6.75, -0.5)) → C6, e, f, g, h
  20. Polygon((6.75, -0.5), (6.75, -1.5), (7.75, -1.5), (7.75, -0.5)) → C7, e_8, f_8, g_8, h_8
  21. Polygon((7.75, -0.5), (7.75, -1.5), (8.75, -1.5), (8.75, -0.5)) → C8, i_8, j_8, k_8, l_8
  22. Polygon((8.75, -0.5), (8.75, -1.5), (9.75, -1.5), (9.75, -0.5)) → C9, m_8, n_8, p_8, q_8
  23. Polygon((9.75, -0.5), (9.75, -1.5), (10.75, -1.5), (10.75, -0.5)) → C10, r_8, s_8, t_8, a_9
  24. Polygon((11.75, -0.5), (11.75, -1.5), (12.75, -1.5), (12.75, -0.5)) → C12, r, s, t, f_1
  25. Polygon((10.75, -0.5), (10.75, -1.5), (11.75, -1.5), (11.75, -0.5)) → C11, b_9, c_9, d_9, e_9
  26. Sequence(Sequence[Polygon[(0.75 + i, -0.5 - j), (1.75 + i, -0.5 - j), 4], i, 1, 11, 1], j, 2, 12, 1) → list4
  27. Sequence(Sequence[Polygon[(-0.25 + i, -0.5 - j), (0.75 + i, -0.5 - j), (0.75 + i, 0.5 - j)], j, 1, 12, 1], i, 2, 12, 1) → Col
  28. Element(Col, 1) → Col_{02}
  29. Element(Col, 2) → Col_{03}
  30. Element(Col, 3) → Col_{04}
  31. Element(Col, 4) → Col_{05}
  32. Element(Col, 5) → Col_{06}
  33. Element(Col, 6) → Col_{07}
  34. Element(Col, 7) → Col_{08}
  35. Element(Col, 8) → Col_{09}
  36. Element(Col, 9) → Col_{10}
  37. Element(Col, 10) → Col_{11}
  38. Element(Col, 11) → Col_{12}
  39. Sequence(Sequence[Polygon[(-0.25 + i, -0.5 - j), (-0.25 + i, 0.5 - j), (0.75 + i, 0.5 - j)], i, 1, 12, 1], j, 2, 12, 1) → Row
  40. Element(Row, 1) → Row_{02}
  41. Element(Row, 2) → Row_{03}
  42. Element(Row, 3) → Row_{04}
  43. Element(Row, 4) → Row_{05}
  44. Element(Row, 5) → Row_{06}
  45. Element(Row, 6) → Row_{07}
  46. Element(Row, 7) → Row_{08}
  47. Element(Row, 8) → Row_{09}
  48. Element(Row, 9) → Row_{10}
  49. Element(Row, 10) → Row_{11}
  50. Element(Row, 11) → Row_{12}

AI Drawing Prompt Reference

Draw a 12x12 multiplication table, starting from the top-left corner, and sequentially draw each cell with multiplication expressions like 1*1, 1*2, etc., separating each cell with small squares, and connect the bottom-left and top-right corners of each cell to adjacent cells to form a grid layout.
The prompt above was compiled from the original drawing commands and is for reference only.