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Multiplying Odd Numbers

Multiplying Odd Numbers
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2018-04-19 20:36
FunctionSequenceCoordinate Geometry
This example demonstrates the pattern of multiplying odd numbers. It involves the concepts of sequences and functions. Using GeoGebra commands such as Sequence, Midpoint, and Line, odd number sequences are constructed and their product patterns are observed. Suitable for middle school and above students to learn about sequences and functions.

GeoGebra Commands & Parameters

  1. Sequence((k, Sequence[l, l, 0, n - 1]), k, 0, m - 1) → L_1
  2. Midpoint(H, G) → S
  3. Midpoint(J, I) → R
  4. Line(E, H) → f
  5. Line(G, F) → g
  6. Line(I, K) → h
  7. Line(J, L) → i
  8. Intersect(f, h) → M
  9. Intersect(g, h) → N
  10. Intersect(g, i) → O
  11. Intersect(f, i) → P
  12. Polygon(D, E, M, I) → q1, d, e, m_1, i_1
  13. Polygon(F, C, K, N) → q2, f_1, c, k, n_1
  14. Polygon(O, L, B, G) → q3, o, l, b, g_1
  15. Polygon(Q, J, P, H) → q4, q, j, p, h_1
  16. Polygon(E, F, N, M) → q5, e_1, f_2, n_2, m_2
  17. Polygon(P, O, G, H) → q6, p_1, o_1, g_2, h_2
  18. Polygon(I, M, P, J) → q7, i_2, m_3, p_2, j_1
  19. Polygon(N, K, L, O) → q8, n_3, k_1, l_1, o_2