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Solving Simple Linear Equations

Solving Simple Linear Equations
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2022-08-24 22:18
Coordinate GeometryGeometric Construction
In collections Wiederholung: Variablen, Terme und Gleichungen
This example demonstrates the basic methods for solving simple linear equations. Key mathematical concepts include equation solving and inverse operations. GeoGebra commands such as Polygon, SpeechBubbleLeft, and SpeechBubbleRight are used for geometric construction. Suitable for students in grades 5-6 to learn solving linear equations.

GeoGebra Commands & Parameters

  1. Polygon(E, F, G, H, I, J, K) → Vieleck1, e_1, f_1, g_1, h_1, i_1, j_1, k
  2. Polygon(L, M, N, O, Q, P, R) → Vieleck2, l, m, n, o, q, p, r
  3. Polygon(S, T, U, V, W, Z, A_1) → Vieleck3, s_1, t, u, v, w, z_1, a_1
  4. Polygon(B_1, C_1, D_1, E_1, F_1, G_1, H_1) → Vieleck4, b_1, c_1, d_1, k_1, l_1, m_1, n_1
  5. Polygon(I_1, J_1, K_1, L_1, M_1, N_1, O_1) → Vieleck5, p_1, q_1, r_1, t_1, f_2, g_2, o_1
  6. SpeechBubbleLeft(SpeechPoint1, 5.5, 2) → Vieleck6
  7. SpeechBubbleRight(SpeechPoint2, 6, 2) → Vieleck7
  8. Polygon(V_1, S_1, W_1, R_1, Z_1, T_1, U_1) → Vieleck8, v_1, i_2, w_1, j_2, k_2, l_2, u_1
  9. Point(u) → A_2
  10. Point(w) → B_2
  11. Segment(A_2, B_2) → m_2
  12. Polygon(C_2, D_2, E_2, F_2, G_2, H_2, I_2) → Vieleck9, c_2, d_2, e_2, n_2, p_2, q_2, r_2

AI Drawing Prompt Reference

Draw a coordinate-style composite diagram made of several connected polygon “puzzle” pieces to illustrate solving a simple linear equation. First construct the first set of a 7-vertex polygon piece, then build the second and third 7-vertex polygon pieces positioned so they fit into a continuous pattern. Add a fourth and a fifth 7-vertex polygon piece, arranging them adjacent along edges to extend the collage. Place left and right speech bubbles near two distinct key points to show two step prompts. Continue by adding the next 7-vertex polygon piece, mark two important vertices as points, connect them with a segment, and finish by drawing the final 7-vertex polygon piece to complete the overall arrangement.
The prompt above was compiled from the original drawing commands and is for reference only.