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Exponents Game - Level 4

Exponents Game - Level 4
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2019-07-16 21:57
FunctionCalculusGeometric Construction
Practice exponent rules through a puzzle game. This example demonstrates how to apply exponent rules to solve practical problems, involving core math concepts such as exponent operations and properties of powers. Using GeoGebra commands like Intersect, Polygon, and Point, you can dynamically adjust parameters to observe changes in the graph of exponential functions. Suitable for middle school and above students or teachers for teaching and self-practice.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Polygon(A, B, C, D) → polyA6, a, b, c, d
  3. Point(yAxis) → F
  4. Polygon(D, C, E, F) → polyA5, d_1, c_1, e, f
  5. Point(yAxis) → H
  6. Polygon(F, E, G, H) → polyA4, f_1, e_1, g, h
  7. Point(yAxis) → J
  8. Polygon(J, I, K, L) → polyA2, j_1, i_1, k, l
  9. Polygon(L, K, M, N) → polyA1, l_1, k_1, m, n
  10. Polygon(B, O, P, C) → polyB6, b_1, o, p, c_2
  11. Polygon(C, P, Q, E) → polyB5, c_3, p_1, q, e_2
  12. Polygon(E, Q, R, G) → polyB4, e_3, q_1, r, g_2
  13. Polygon(G, R, S, I) → polyB3, g_3, r_1, s, i_2
  14. Polygon(I, S, T, K) → polyB2, i_3, s_1, t, k_2
  15. Polygon(K, T, U, M) → polyB1, k_3, t_1, u, m_1
  16. Point(xAxis) → V
  17. Polygon(O, V, W, P) → polyC6, o_1, v, w, p_2
  18. Polygon(P, W, Z, Q) → polyC5, p_3, w_1, z_1, q_2
  19. Polygon(Q, Z, A_1, R) → polyC4, q_3, z_2, a_1, r_2
  20. Polygon(R, A_1, B_1, S) → polyC3, r_3, a_2, b_2, s_2
  21. Polygon(S, B_1, C_1, T) → polyC2, s_3, b_3, c_4, t_2
  22. Polygon(T, C_1, D_1, U) → polyC1, t_3, c_5, d_2, u_1
  23. Point(xAxis) → E_1
  24. Polygon(V, E_1, F_1, W) → polyD6, v_1, e_4, f_2, w_2
  25. Polygon(W, F_1, G_1, Z) → polyD5, w_3, f_3, g_4, z_3
  26. Polygon(Z, G_1, H_1, A_1) → polyD4, z_4, g_5, h_2, a_3
  27. Polygon(A_1, H_1, I_1, B_1) → polyD3, a_4, h_3, i_4, b_4
  28. Polygon(B_1, I_1, J_1, C_1) → polyD2, b_5, i_5, j_2, c_6
  29. Polygon(C_1, J_1, K_1, D_1) → polyD1, c_7, j_3, k_4, d_3
  30. Point(xAxis) → L_1
  31. Polygon(E_1, L_1, M_1, F_1) → polyE6, e_5, l_2, m_2, f_4
  32. Polygon(F_1, M_1, N_1, G_1) → polyE5, f_5, m_3, n_1, g_6
  33. Polygon(G_1, N_1, O_1, H_1) → polyE4, g_7, n_2, o_2, h_4
  34. Polygon(H_1, O_1, P_1, I_1) → polyE3, h_5, o_3, p_4, i_6
  35. Polygon(I_1, P_1, Q_1, J_1) → polyE2, i_7, p_5, q_4, j_4
  36. Polygon(J_1, Q_1, R_1, K_1) → polyE1, j_5, q_5, r_4, k_5
  37. Point(xAxis) → S_1
  38. Polygon(L_1, S_1, T_1, M_1) → polyF6, l_3, s_4, t_4, m_4
  39. Polygon(M_1, T_1, U_1, N_1) → polyF5, m_5, t_5, u_2, n_3
  40. Polygon(N_1, U_1, V_1, O_1) → polyF4, n_4, u_3, v_2, o_4
  41. Polygon(O_1, V_1, W_1, P_1) → polyF3, o_5, v_3, w_4, p_6
  42. Polygon(P_1, W_1, Z_1, Q_1) → polyF2, p_7, w_5, z_5, q_6
  43. Polygon(Q_1, Z_1, A_2, R_1) → polyF1, q_7, z_6, a_5, r_5

AI Drawing Prompt Reference

Draw a complex pattern of multiple polygons in a coordinate system, symmetrically arranged around the x-axis and y-axis, resembling a maze. Start with a quadrilateral and progressively expand outward by adding new quadrilaterals each time, ensuring each new polygon shares one side with the previous one. All polygons should be filled with color and maintain symmetry.
The prompt above was compiled from the original drawing commands and is for reference only.