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Multiplying Fractions: Understanding through Geometric Construction

Multiplying Fractions: Understanding through Geometric Construction
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2015-07-30 13:31
FunctionCoordinate GeometryGeometric Construction
This example demonstrates fraction multiplication using geometric figures. Key mathematical concepts include fraction operations, ratio relationships, and geometric transformations. Construction involves GeoGebra commands such as Segment, VertBars, HorzBars, If, Translate, and Polygon. Suitable for middle school students learning fraction multiplication or for teaching geometry combined with algebra.

GeoGebra Commands & Parameters

  1. Segment(F, B) → r
  2. VertBars(A, (x(A) + (n_2 * SqrSize / d_2), SqrSize + y(A)), n_2) → poly1, e, f, g, h, llista1
  3. VertBars((x(A) + (n_2 * SqrSize / d_2), y(A)), (x(A) + SqrSize, SqrSize + y(A)), d_2 - n_2) → poly2, i, j, k, l, llista2
  4. HorzBars(C, (SqrSize + x(C), (n_1 * SqrSize / d_1)), n_1) → poly3, a, b, c, d, llista3
  5. HorzBars((x(C), (n_1 * SqrSize / d_1)), (SqrSize + x(C), SqrSize), d_1 - n_1) → poly4, m, n, p, q, llista4
  6. If(Distance[A, C] < 0.01, true, false) → Over
  7. Translate(llista3, (7, 0)) → llista3'
  8. Translate(llista4, (7, 0)) → llista4'
  9. Translate(poly3, (7, 0)) → poly3'
  10. Translate(poly4, (7, 0)) → poly4'
  11. Segment(H, I) → a_1
  12. Polygon(K, D, L, J) → Polígon1, k_1, d_3, l_1, j_1
  13. Segment(K, I) → s
  14. Segment(J, M) → t
  15. Translate(llista1, (0, -7)) → llista1'
  16. Translate(llista2, (0, -7)) → llista2'
  17. Translate(poly1, (0, -7)) → poly1'
  18. Translate(poly2, (0, -7)) → poly2'
  19. Segment(N, O) → b_1
  20. Polygon(P, O, I, M) → Polígon2, p_1, o, i_1, m_1