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Sum of Integers 1

Sum of Integers 1
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2016-10-19 15:20
SequenceCoordinate GeometryProbability & Statistics
This example demonstrates the concept of summing integers. Key mathematical concepts include the properties of integers and statistical characteristics. Using GeoGebra commands such as Point, Polygon, Vector, Sequence, etc., the example constructs the sum of integers. Suitable for middle school and above students.

GeoGebra Commands & Parameters

  1. Point(yAxis) → B
  2. Polygon(B, A, 4) → poly_1, f, g, h, i, C, D
  3. Vector((0, 0), (1, 0)) → u
  4. Polygon(C, A, 4) → poly_2, j, k, l, m, E, F
  5. Polygon(F, E, 4) → poly_3, s, t, a, b, I, J
  6. Polygon(J, I, 4) → poly_4, k_1, l_1, m_1, n_1, O, P
  7. Polygon(P, O, 4) → poly_5, h_2, i_2, j_2, k_2, W, Z
  8. Polygon(Z, W, 4) → poly_6, i_3, j_3, k_3, l_3, I_1, J_1
  9. Polygon(J_1, I_1, 4) → poly_7, n_4, p_4, q_4, r_4, U_1, V_1
  10. Polygon(V_1, U_1, 4) → poly_8, d_5, e_5, f_6, g_6, K_2, L_2
  11. Polygon(L_2, K_2, 4) → poly_9, g_9, h_9, i_9, j_9, Q_3, R_3
  12. Polygon(G, H, 4) → poly1, n, p, q, r, K, L
  13. Sequence(Translate[poly_2, Vector[(k * u)]], k, 1, 1) → list2
  14. Sequence(Translate[poly_3, Vector[(k * u)]], k, 1, 2) → list1
  15. Sequence(Translate[poly_4, Vector[(k * u)]], k, 1, 3) → list3
  16. Sequence(Translate[poly_5, Vector[(k * u)]], k, 1, 4) → list4
  17. Sequence(Translate[poly_6, Vector[(k * u)]], k, 1, 5) → list5
  18. Sequence(Translate[poly_7, Vector[(k * u)]], k, 1, 6) → list6
  19. Sequence(Translate[poly_8, Vector[(k * u)]], k, 1, 7) → list7
  20. Sequence(Translate[poly_9, Vector[(k * u)]], k, 1, 8) → list8
  21. Sequence(Translate[poly1, Vector[(k * u)]], k, 1, 9) → list9
  22. Segment(B, (層數, (-層數) + 1)) → line
  23. Polygon((移動, 1), (移動 + 1, 1), (移動 + 1, 0)) → Triangle, c, d, e
  24. Vector((0, 0), (1, -1)) → v
  25. Polygon((0, 1), (1, 1), (1, 0)) → Triangle_1, f_1, g_1, h_1
  26. Sequence(Translate[Triangle, Vector[(k * v)]], k, 1, 層數 - 1) → list10
  27. Sequence(Translate[Triangle_1, Vector[(k * v)]], k, 1, 層數 - 1) → list11
  28. Polygon(M, N, 4) → poly2, i_1, j_1, p_1, q_1, Q, R