Expansion Using Multiplication Frame, Algebra

Expansion Using Multiplication Frame, Algebra
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2016-04-08 20:46
This example demonstrates algebraic expansion using a multiplication frame. It involves core math concepts like algebraic operations, polynomial multiplication, and geometric representation. The construction uses GeoGebra commands and objects such as Textfield, Segment, Text, and Polygon. Suitable for high school mathematics teaching to help students understand the geometric meaning of algebraic expansion.

GeoGebra Commands & Parameters

  1. Textfield(a) → InputBoxa
  2. Textfield(b) → InputBoxb
  3. Textfield(c) → InputBoxc
  4. Textfield(d) → InputBoxd
  5. Segment(C14, D14) → seg1
  6. Segment(C15, D15) → seg2
  7. Segment(C16, D16) → seg3
  8. Segment(C17, D17) → seg4
  9. Text(h, C21) → textab
  10. Text(q, D21) → textbc
  11. Text(p, C22) → textad
  12. Text(r, D22) → textbd
  13. Text(a, C20) → texta
  14. Text(b, D20) → textb
  15. Text(c, B21) → textc
  16. Text(d, B22) → textd
  17. Text(multiply, B20) → text6
  18. Polygon(I, J, K, L) → poly1, i_1, j_1, k_1, l_1
  19. Polygon(M, N, O, P) → poly2, m_1, n, o, p_1
  20. Polygon(Q, R, S, T) → poly3, q_1, r_1, s_1, t_1
  21. Polygon(A_1, B_1, C_1, D_1) → poly5, a_1, b_1, c_1, d_1
  22. Polygon(E_1, F_1, G_1, H_1) → poly6, e_1, f_1, g_1, h_1
  23. Polygon(I_1, J_1, K_1, L_1) → poly7, i_2, j_2, k_2, l_2
  24. Polygon(M_1, N_1, O_1, P_1) → poly8, m_2, n_1, o_1, p_2
  25. Polygon(Q_1, R_1, S_1, T_1) → poly3_1, q_2, r_2, s_2, t_2
  26. Polygon(U_1, V_1, W_1, Z_1) → poly4, u_1, v_1, w_1, z_1
  27. Polygon(A_2, B_2, C_2, D_2) → poly9, a_2, b_2, c_2, d_2