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Fraction Multiplication Demonstration by STMY

Fraction Multiplication Demonstration by STMY
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2017-03-29 09:02
Solid GeometryGeometric Construction
This example demonstrates the concept of fraction multiplication through geometry, involving core mathematical concepts such as fraction operations, solid geometry volume calculation, and quadratic equations. Construction highlights include the use of GeoGebra commands and objects like Sequence, Element, Segment, Midpoint, Polygon, GCD, Textfield, IntersectPath, Intersect to build geometric models and calculate volumes. Suitable for middle school and above students to learn and understand fraction multiplication and its applications.

GeoGebra Commands & Parameters

  1. Sequence(A + (i / n * (B - A)), i, 1, n) → ab
  2. Sequence(A + (i / m * (D - A)), i, 1, m) → da
  3. Element(da, p) → G1
  4. Segment(A, B) → a
  5. Segment(B, C) → b
  6. Segment(C, D) → c
  7. Segment(D, A) → d
  8. Sequence(D + (i / n * (C - D)), i, 1, n) → cd
  9. Sequence(B + (i / m * (C - B)), i, 1, m) → bc
  10. Sequence(Segment[Element[cd, i], Element[ab, i]], i, 1, n) → Column
  11. Sequence(Segment[Element[bc, i], Element[da, i]], i, 1, m) → Row
  12. Element(ab, q) → E
  13. Segment(AX, EX) → e
  14. Midpoint(e) → F
  15. Segment(AY, GY) → f
  16. Midpoint(f) → H
  17. Element(cd, q) → E1
  18. Element(bc, p) → G
  19. Polygon(A, B, G, G1) → Fraction1, a_1, b_1, g, g1
  20. Polygon(A, E, E1, D) → Fraction2, a_2, e_1, e1, d_1
  21. GCD(p, m) → FPB1
  22. GCD(q, n) → FPB2
  23. Segment(BY, GY1) → h
  24. Midpoint(h) → M
  25. Segment(DX, EX1) → i
  26. Midpoint(i) → N
  27. Textfield(p) → Numerator1
  28. Textfield(m) → Denominator1
  29. Textfield(q) → Numerator2
  30. Textfield(n) → Denominator2
  31. Textfield(j) → Length
  32. GCD(p1Xq1, m1Xn1) → FPB3
  33. IntersectPath(Fraction1, Fraction2) → Result, I, J, K, L, k, l, t, f_1
  34. Polygon(A, B, C, D) → Original, a_3, b_2, c_1, d_2
  35. Segment(J, E) → g_1
  36. Segment(K, I) → h_1
  37. Intersect(g_1, h_1) → O
  38. Segment(P, Q) → i_1
  39. Segment(R, S) → j_1
  40. Textfield(o) → InputBox1
  41. Segment(AX1, T) → k_1
  42. Segment(V, U) → l_1