Dr. Fisher's Exponents Game Level 4
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① This example demonstrates an interactive math game level focused on exponent operations, using geometric shapes and arithmetic challenges to reinforce exponent rules. ② Core math concepts include exponentiation, arithmetic operations, piecewise functions, symmetry, rhombus properties, and variance, blending algebra with geometry. ③ Construction highlights: from the summary, GeoGebra commands such as Intersect, Polygon, and Point are used, creating multiple polygons (polyA6, polyA5, etc.) and points (A through O), along with segments (a,b,c,d) and parallel lines (d_1,c_1), visually representing exponent problems through geometric construction. ④ Suitable for middle and high school students as a fun practice for exponents, and for game-based learning in math classrooms to solidify exponent properties and geometric symmetry concepts.
GeoGebra Commands & Parameters
Intersect(xAxis, yAxis) → APolygon(A, B, C, D) → polyA6, a, b, c, dPoint(yAxis) → FPolygon(D, C, E, F) → polyA5, d_1, c_1, e, fPoint(yAxis) → HPolygon(F, E, G, H) → polyA4, f_1, e_1, g, hPoint(yAxis) → JPolygon(J, I, K, L) → polyA2, j_1, i_1, k, lPolygon(L, K, M, N) → polyA1, l_1, k_1, m, nPolygon(B, O, P, C) → polyB6, b_1, o, p, c_2Polygon(C, P, Q, E) → polyB5, c_3, p_1, q, e_2Polygon(E, Q, R, G) → polyB4, e_3, q_1, r, g_2Polygon(G, R, S, I) → polyB3, g_3, r_1, s, i_2Polygon(I, S, T, K) → polyB2, i_3, s_1, t, k_2Polygon(K, T, U, M) → polyB1, k_3, t_1, u, m_1Point(xAxis) → VPolygon(O, V, W, P) → polyC6, o_1, v, w, p_2Polygon(P, W, Z, Q) → polyC5, p_3, w_1, z_1, q_2Polygon(Q, Z, A_1, R) → polyC4, q_3, z_2, a_1, r_2Polygon(R, A_1, B_1, S) → polyC3, r_3, a_2, b_2, s_2Polygon(S, B_1, C_1, T) → polyC2, s_3, b_3, c_4, t_2Polygon(T, C_1, D_1, U) → polyC1, t_3, c_5, d_2, u_1Point(xAxis) → E_1Polygon(V, E_1, F_1, W) → polyD6, v_1, e_4, f_2, w_2Polygon(W, F_1, G_1, Z) → polyD5, w_3, f_3, g_4, z_3Polygon(Z, G_1, H_1, A_1) → polyD4, z_4, g_5, h_2, a_3Polygon(A_1, H_1, I_1, B_1) → polyD3, a_4, h_3, i_4, b_4Polygon(B_1, I_1, J_1, C_1) → polyD2, b_5, i_5, j_2, c_6Polygon(C_1, J_1, K_1, D_1) → polyD1, c_7, j_3, k_4, d_3Point(xAxis) → L_1Polygon(E_1, L_1, M_1, F_1) → polyE6, e_5, l_2, m_2, f_4Polygon(F_1, M_1, N_1, G_1) → polyE5, f_5, m_3, n_1, g_6Polygon(G_1, N_1, O_1, H_1) → polyE4, g_7, n_2, o_2, h_4Polygon(H_1, O_1, P_1, I_1) → polyE3, h_5, o_3, p_4, i_6Polygon(I_1, P_1, Q_1, J_1) → polyE2, i_7, p_5, q_4, j_4Polygon(J_1, Q_1, R_1, K_1) → polyE1, j_5, q_5, r_4, k_5Point(xAxis) → S_1Polygon(L_1, S_1, T_1, M_1) → polyF6, l_3, s_4, t_4, m_4Polygon(M_1, T_1, U_1, N_1) → polyF5, m_5, t_5, u_2, n_3Polygon(N_1, U_1, V_1, O_1) → polyF4, n_4, u_3, v_2, o_4Polygon(O_1, V_1, W_1, P_1) → polyF3, o_5, v_3, w_4, p_6Polygon(P_1, W_1, Z_1, Q_1) → polyF2, p_7, w_5, z_5, q_6Polygon(Q_1, Z_1, A_2, R_1) → polyF1, q_7, z_6, a_5, r_5