Graphical Multiplication Table
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This example uses a graphical method to illustrate a multiplication table, helping students visualize the algebraic forms of various products. It employs GeoGebra commands such as Point, Intersect, and Polygon to demonstrate how multiplication can be represented geometrically. Suitable for students in middle school and above to learn algebraic concepts.
GeoGebra Commands & Parameters
Point(xAxis) → AIntersect(xAxis, yAxis) → BPolygon(A, B, 4) → poly1, a, b, c, d, C, DPoint(xAxis) → FPolygon(A, D, E, F) → poly2, a_1, d_1, e, fPoint(xAxis) → GPolygon(F, G, H, E) → poly3, f_1, g, h, e_1Point(xAxis) → IPolygon(G, I, J, H) → poly4, g_1, i, j, h_1Point(xAxis) → KPolygon(I, K, L, J) → poly5, i_1, k, l, j_1Point(xAxis) → MPolygon(K, M, N, L) → poly6, k_1, m, n, l_1Point(xAxis) → OPolygon(M, O, P, N) → poly7, m_1, o, p, n_1Point(xAxis) → QPolygon(O, Q, R, P) → poly8, o_1, q, r, p_1Point(xAxis) → SPolygon(Q, S, T, R) → poly9, q_1, s, t, r_1Point(xAxis) → UPolygon(S, U, V, T) → poly10, s_1, u, v, t_1Point(yAxis) → WPolygon(C, W, Z, D) → poly11, c_1, w, z, d_2Point(yAxis) → A_1Polygon(W, A_1, B_1, Z) → poly12, w_1, a_2, b_1, z_1Point(yAxis) → C_1Polygon(A_1, C_1, D_1, B_1) → poly13, a_3, c_2, d_3, b_2Point(yAxis) → E_1Polygon(C_1, E_1, F_1, D_1) → poly14, c_3, e_2, f_2, d_4Point(yAxis) → G_1Polygon(E_1, G_1, H_1, F_1) → poly15, e_3, g_2, h_2, f_3Point(yAxis) → I_1Polygon(G_1, I_1, J_1, H_1) → poly16, g_3, i_2, j_2, h_3Point(yAxis) → K_1Polygon(I_1, K_1, L_1, J_1) → poly17, i_3, k_2, l_2, j_3Point(yAxis) → M_1Polygon(K_1, M_1, N_1, L_1) → poly18, k_3, m_2, n_2, l_3Point(yAxis) → O_1Polygon(M_1, O_1, P_1, N_1) → poly19, m_3, o_2, p_2, n_3Polygon(D, Z, 4) → poly20, q_2, r_2, s_2, t_2, Q_1, R_1Polygon(Q_1, S_1, 4) → poly21, b_3, p_3, q_3, r_3, T_1, U_1Polygon(T_1, V_1, 4) → poly22, s_3, t_3, a_4, b_4, W_1, Z_1Polygon(W_1, A_2, 4) → poly23, c_4, e_4, f_4, g_4, B_2, C_2Polygon(B_2, D_2, 4) → poly24, h_4, i_4, j_4, k_4, E_2, F_2Polygon(E_2, G_2, 4) → poly25, l_4, m_4, n_4, p_4, H_2, I_2Polygon(H_2, J_2, 4) → poly26, q_4, r_4, s_4, t_4, K_2, L_2Polygon(K_2, M_2, 4) → poly27, a_5, b_5, c_5, d_5, N_2, O_2Polygon(N_2, P_2, 4) → poly28, e_5, f_5, g_5, h_5, Q_2, R_2Polygon(E, Q_1, U_1, H) → poly29, e_6, q_5, u_1, h_6Polygon(U_1, S_2, J, H) → poly30, u_2, s_5, j_5, h_7Polygon(S_2, U_1, T_1, Z_1) → poly31, s_6, u_3, t_5, z_2Polygon(B_1, S_1, Q_1, Z) → poly32, b_6, s_7, q_6, z_3Polygon(D_1, T_2, S_1, B_1) → poly33, d_6, t_6, s_8, b_7Polygon(S_1, T_1, V_1, T_2) → poly34, s_9, t_7, v_1, t_8Polygon(D_1, F_1, U_2, T_2) → poly35, d_7, f_6, u_4, t_9Polygon(T_2, U_2, V_2, V_1) → poly36, t_{10}, u_5, v_2, v_3Polygon(V_1, V_2, A_2, W_1) → poly37, v_4, v_5, a_6, w_2Polygon(F_1, H_1, W_2, U_2) → poly38, f_7, h_8, w_3, u_6Polygon(U_2, W_2, Z_2, V_2) → poly39, u_7, w_4, z_4, v_6Polygon(H_1, J_1, A_3, W_2) → poly40, h_9, j_6, a_7, w_5Polygon(W_2, A_3, B_3, Z_2) → poly41, w_6, a_8, b_8, z_5Polygon(V_2, Z_2, C_3, A_2) → poly42, v_7, z_6, c_6, a_9Polygon(A_2, C_3, D_2, B_2) → poly43, a_{10}, c_7, d_8, b_9Polygon(Z_2, B_3, D_3, C_3) → poly44, z_7, b_{10}, d_9, c_8Polygon(C_3, D_3, E_3, D_2) → poly45, c_9, d_{10}, e_7, d_{11}Polygon(D_2, E_3, G_2, E_2) → poly46, d_{12}, e_8, g_6, e_9Polygon(J_1, L_1, F_3, A_3) → poly47, j_7, l_5, f_8, a_{11}Polygon(A_3, F_3, G_3, B_3) → poly48, a_{12}, f_9, g_7, b_{11}Polygon(B_3, G_3, H_3, D_3) → poly49, b_{12}, g_8, h_{10}, d_{13}Polygon(D_3, H_3, I_3, E_3) → poly50, d_{14}, h_{11}, i_5, e_{10}Polygon(E_3, I_3, J_3, G_2) → poly51, e_{11}, i_6, j_8, g_9Polygon(G_2, J_3, J_2, H_2) → poly52, g_{10}, j_9, j_{10}, h_{12}Polygon(L_1, N_1, K_3, F_3) → poly53, l_6, n_5, k_5, f_{10}Polygon(F_3, K_3, L_3, G_3) → poly54, f_{11}, k_6, l_7, g_{11}Polygon(G_3, L_3, M_3, H_3) → poly55, g_{12}, l_8, m_5, h_{13}Polygon(H_3, M_3, N_3, I_3) → poly56, h_{14}, m_6, n_6, i_7Polygon(I_3, N_3, O_3, J_3) → poly57, i_8, n_7, o_3, j_{11}Polygon(J_3, O_3, P_3, J_2) → poly58, j_{12}, o_4, p_5, j_{13}Polygon(J_2, P_3, M_2, K_2) → poly59, j_{14}, p_6, m_7, k_7Polygon(N_1, P_1, Q_3, K_3) → poly60, n_8, p_7, q_7, k_8Polygon(K_3, Q_3, R_3, L_3) → poly61, k_9, q_8, r_5, l_9Polygon(L_3, R_3, S_3, M_3) → poly62, l_{10}, r_6, s_{10}, m_8Polygon(M_3, S_3, T_3, N_3) → poly63, m_9, s_{11}, t_{11}, n_9Polygon(N_3, T_3, U_3, O_3) → poly64, n_{10}, t_{12}, u_8, o_5Polygon(O_3, U_3, V_3, P_3) → poly65, o_6, u_9, v_8, p_8Polygon(P_3, V_3, W_3, M_2) → poly66, p_9, v_9, w_7, m_{10}Polygon(M_2, W_3, P_2, N_2) → poly67, m_{11}, w_8, p_{10}, n_{11}Polygon(J, S_2, Z_3, L) → poly68, j_{15}, s_{12}, z_8, l_{11}Polygon(S_2, Z_1, A_4, Z_3) → poly69, s_{13}, z_9, a_{13}, z_{10}Polygon(Z_1, W_1, C_2, A_4) → poly70, z_{11}, w_9, c_{10}, a_{14}Polygon(L, Z_3, B_4, N) → poly71, l_{12}, z_{12}, b_{13}, n_{12}Polygon(Z_3, A_4, C_4, B_4) → poly72, z_{13}, a_{15}, c_{11}, b_{14}Polygon(A_4, C_2, D_4, C_4) → poly73, a_{16}, c_{12}, d_{15}, c_{13}Polygon(C_2, B_2, F_2, D_4) → poly74, c_{14}, b_{15}, f_{12}, d_{16}Polygon(N, B_4, E_4, P) → poly75, n_{13}, b_{16}, e_{12}, p_{11}Polygon(B_4, C_4, F_4, E_4) → poly76, b_{17}, c_{15}, f_{13}, e_{13}Polygon(C_4, D_4, G_4, F_4) → poly77, c_{16}, d_{17}, g_{13}, f_{14}Polygon(D_4, F_2, H_4, G_4) → poly78, d_{18}, f_{15}, h_{15}, g_{14}Polygon(F_2, E_2, I_2, H_4) → poly79, f_{16}, e_{14}, i_9, h_{16}Polygon(P, E_4, I_4, R) → poly80, p_{12}, e_{15}, i_{10}, r_7Polygon(E_4, F_4, J_4, I_4) → poly81, e_{16}, f_{17}, j_{16}, i_{11}Polygon(F_4, G_4, K_4, J_4) → poly82, f_{18}, g_{15}, k_{10}, j_{17}Polygon(G_4, H_4, L_4, K_4) → poly83, g_{16}, h_{17}, l_{13}, k_{11}Polygon(H_4, I_2, M_4, L_4) → poly84, h_{18}, i_{12}, m_{12}, l_{14}Polygon(I_2, H_2, L_2, M_4) → poly85, i_{13}, h_{19}, l_{15}, m_{13}Polygon(R, I_4, N_4, T) → poly86, r_8, i_{14}, n_{14}, t_{13}Polygon(I_4, J_4, O_4, N_4) → poly87, i_{15}, j_{18}, o_7, n_{15}Polygon(J_4, K_4, P_4, O_4) → poly88, j_{19}, k_{12}, p_{13}, o_8Polygon(K_4, L_4, Q_4, P_4) → poly89, k_{13}, l_{16}, q_9, p_{14}Polygon(L_4, M_4, R_4, Q_4) → poly90, l_{17}, m_{14}, r_9, q_{10}Polygon(M_4, L_2, S_4, R_4) → poly91, m_{15}, l_{18}, s_{14}, r_{10}Polygon(L_2, K_2, O_2, S_4) → poly92, l_{19}, k_{14}, o_9, s_{15}Polygon(T, N_4, T_4, V) → poly93, t_{14}, n_{16}, t_{15}, v_{10}Polygon(N_4, O_4, U_4, T_4) → poly94, n_{17}, o_{10}, u_{10}, t_{16}Polygon(O_4, P_4, V_4, U_4) → poly95, o_{11}, p_{15}, v_{11}, u_{11}Polygon(P_4, Q_4, W_4, V_4) → poly96, p_{16}, q_{11}, w_{10}, v_{12}Polygon(Q_4, R_4, Z_4, W_4) → poly97, q_{12}, r_{11}, z_{14}, w_{11}Polygon(R_4, S_4, A_5, Z_4) → poly98, r_{12}, s_{16}, a_{17}, z_{15}Polygon(S_4, O_2, B_5, A_5) → poly99, s_{17}, o_{12}, b_{18}, a_{18}Polygon(O_2, N_2, R_2, B_5) → poly100, o_{13}, n_{18}, r_{13}, b_{19}
AI Drawing Prompt Reference
Draw a geometric multiplication table with a 10x10 grid of squares, each with a side length of 1, where the bottom-left corner is at the origin. Define rows and columns using a series of points and connect them to form multiple squares and rectangles, illustrating the geometric representation of multiplication.
The prompt above was compiled from the original drawing commands and is for reference only.