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Solving Equations with Rational Numbers

Solving Equations with Rational Numbers
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2020-07-31 00:50
FunctionSequenceCoordinate Geometry
This example demonstrates solving equations with rational numbers. Key mathematical concepts include rational numbers and solving equations. Using GeoGebra commands such as Polygon, IsInRegion, Sequence, and Segment, the example constructs geometric representations of solving equations. Suitable for middle school mathematics education.

GeoGebra Commands & Parameters

  1. Polygon(L_1, K_1, M_1, N_1) → poly6, l_2, k_2, m_1, n_1
  2. Polygon(J_1, I_1, K_1, L_1) → poly5, j_2, i_2, k_1, l_1
  3. Polygon(H_1, G_1, I_1, J_1) → poly4, h_2, g_2, i_1, j_1
  4. Polygon(F_1, E_1, G_1, H_1) → poly3, f_2, e_2, g_1, h_1
  5. Polygon(D_1, C_1, E_1, F_1) → poly2, d_2, c_2, e_1, f_1
  6. Polygon(A_1, B_1, C_1, D_1) → poly1, a_1, b_1, c_1, d_1
  7. IsInRegion(C, poly1) → a
  8. IsInRegion(D, poly2) → b
  9. IsInRegion(B, poly3) → c
  10. IsInRegion(F, poly4) → d
  11. IsInRegion(A, poly5) → e
  12. IsInRegion(E, poly6) → f
  13. Sequence(Segment[S + (0, i), (x(S) + 6, y(S) + i)], i, 0, 6, 1) → tablelines
  14. Segment(T, V) → h
  15. Segment(W, U) → i
  16. Segment(Z, S) → j