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Fun Multiplication Tables

Fun Multiplication Tables
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2020-06-08 14:03
VectorFunctionCoordinate GeometryGeometric ConstructionSlider Animation
This example demonstrates multiplication tables through geometric visualization, blending abstract numbers with interactive graphics. It covers core concepts like vectors, functions, sequences, and coordinate geometry. Construction involves commands such as Intersect, Vector, If, Function, Sequence, Point, Segment, CircumcircleArc, Circle, and Polygon. Ideal for middle school and above to intuitively understand the connection between multiplication tables, vectors, and functions, enhancing engagement.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Vector(A, B) → u1
  3. If(u ≟ 1, 12, If[u ≟ 2, 7, If[2 < u ≤ 4, 3.9, If[4 < u ≤ 6, 2.4, If[6 < u ≤ 8, 1.75, 1.5]]]]) → g_1
  4. Function(abs(sin(x)), 0, (t * π)) → f
  5. Function(abs(sin(x)), (o * π), (t * π)) → g
  6. Sequence(A + (i, 0), i, 0, 31.41592653589793, 3.141592653589793) → liste1
  7. Point(liste1) → V
  8. Segment(A, C) → a
  9. Sequence(Text[i, Element[liste1, i + 1] - (0.21, 1)], i, 0, 10) → liste2
  10. CircumcircleArc(F, G, H) → c
  11. CircumcircleArc(H, I, J) → d
  12. CircumcircleArc(J, K, L) → e
  13. CircumcircleArc(L, M, N) → h
  14. CircumcircleArc(N, O, P) → k
  15. CircumcircleArc(P, Q, F) → p
  16. Circle(R, S) → q
  17. Circle(T, 0.2) → r
  18. Segment(W, Z) → b
  19. Segment(A_1, B_1) → i
  20. Polygon(C_1, D_1, M_1, N_1, O_1, P_1, Q_1, R_1, S_1, T_1, E_1, F_1, G_1, H_1, I_1, J_1, K_1, L_1) → poly1, c_1, l_1, m_1, n_1, o_1, p_1, q_1, r_1, s_1, t_1, d_1, e_1, f_1, g_2, h_1, i_1, j_1, k_1
  21. Polygon(F, H, J, L, N, P) → poly2, f_2, h_2, j, l, n, p_2
  22. CircumcircleArc(F, G, H) → s
  23. CircumcircleArc(H, I, J) → c_2
  24. CircumcircleArc(H, I, J) → d_2
  25. CircumcircleArc(J, K, L) → e_2
  26. CircumcircleArc(L, M, N) → k_2
  27. CircumcircleArc(P, Q, F) → q_2
  28. CircumcircleArc(P, Q, F) → r_2
  29. CircumcircleArc(N, O, P) → s_2
  30. Circle(T, 0.2) → t_2
  31. Circle(R, S) → c_3
  32. Segment(V_1, W_1) → m
  33. Segment(Z_1, A_2) → b_1
  34. Sequence(Translate[image3, Vector[(i * u1)]], i, 1, 10) → liste3
  35. Sequence(Text[(z * i), Element[liste1, i + 1] - (0.75, 1.75)], i, 0, 10, 1) → liste4

AI Drawing Prompt Reference

Create a geometric visualization of multiplication tables featuring coordinate axes, vectors, and sine function graphs. Use vectors to represent different multiples, with the sine function curve changing based on parameters. Combine circles and arcs to form geometric patterns, illustrating the connection between multiplication and geometry. Start by drawing the axes and vectors, then plot the sine function, followed by constructing geometric shapes with circles and arcs, and finally add text labels for values, presenting an intuitive geometric representation of multiplication tables.
The prompt above was compiled from the original drawing commands and is for reference only.