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Fraction Division Demonstration by Jennifer Silverman

Fraction Division Demonstration by Jennifer Silverman
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2017-07-12 04:13
Coordinate GeometryGeometric Construction
This example demonstrates the geometric meaning and calculation process of fraction division. It involves core mathematical concepts such as fraction operations, least common multiple (LCM), ratios, and proportions. Key GeoGebra commands used include LCM, PolyLine, Sequence, Textfield, Segment, and fractionbar. Suitable for middle school and above students to understand the visual representation and calculation of fraction division.

GeoGebra Commands & Parameters

  1. LCM(Bn, Rn) → Pn
  2. PolyLine(B, B + (dist, 0), B + (dist, ht), B + (0, ht), B) → f
  3. Sequence(Polygon[B + ((dist * (i - 1) / Bn), 0), B + ((dist * i / Bn), 0), B + ((dist * i / Bn), ht), B + ((dist * (i - 1) / Bn), ht)], i, 1, Bn) → list1
  4. Sequence(Polygon[B + ((dist * (i - 1) / Bn), 0), B + ((dist * i / Bn), 0), B + ((dist * i / Bn), ht), B + ((dist * (i - 1) / Bn), ht)], i, 1, ShG) → list2
  5. Textfield(Bn) → InputBox1
  6. Textfield(Rn) → InputBox2
  7. PolyLine(A, A + (dist, 0), A + (dist, ht), A + (0, ht), A) → r
  8. Textfield(ShG) → InputBox3
  9. Textfield(ShB) → InputBox4
  10. Segment(E_1, I_1) → f_1
  11. Segment(E_2, J_1) → g_1
  12. Segment(D_1, K_1) → h_1
  13. Segment(E_3, L_1) → i_1
  14. Segment(F_1, M_1) → j_1
  15. Segment(G_1, H_1) → k_1
  16. Segment(G_2, P_1) → l_1
  17. Segment(F_2, Q_1) → m_1
  18. Segment(E, G) → i
  19. Segment(D, F) → j
  20. fractionbar(B, Pn, 0, dist, ht) → list5, list5_2, list5_3
  21. fractionbar(C, ShB, ShB, (ShB * dist / Rn), ht) → list4, list6, g
  22. fractionbar((-7, -1), Rn, 0, dist, ht) → list3, list3_2, list3_3