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Multiplying Fractions by Colm Duffin

Multiplying Fractions by Colm Duffin
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2016-01-26 05:11
Sequence
This example demonstrates how to multiply fractions using GeoGebra. The core mathematical concept involved is the multiplication of fractions. Using commands such as Vector, Point, Textfield, Polygon, Segment, and Sequence, the process of fraction multiplication is constructed. Suitable for high-grade elementary or junior high school students to learn fraction operations.

GeoGebra Commands & Parameters

  1. Vector(G, I) → v
  2. Point(G, Vector[If[q > 1, Vector[((q - 1) * v)], Vector[(0 * v)]]]) → K
  3. Vector(F, I) → u
  4. Point(F, Vector[If[q < 1, Vector[(q * u)], u]]) → J
  5. Textfield(N) → InputBox1
  6. Textfield(D) → InputBox2
  7. Polygon((x(J), y(J)), (x(J) + Z, y(J)), (x(J) + Z, y(J) + Z), (x(J), y(J) + Z)) → poly2, f, g, h, i
  8. Segment(A, B) → e
  9. Polygon((0, 0), (0, Z), (Z, Z), (Z, 0)) → poly1, a, b, c, d
  10. Sequence(Polygon[(i, 0), (i + S, 0), (i + S, Z), (i, Z)], i, 0, Z - S, S) → UnitCut
  11. Sequence(Polygon[(i, 0), (i + S, 0), (i + S, Z), (i, Z)], i, 0, (S * (N - 1)), S) → TheFrac
  12. Polygon((7, 0), (7, Z), (Z + 7, Z), (Z + 7, 0)) → poly3, j, k, l, m
  13. Textfield(E) → InputBox3
  14. Segment(C, H) → n
  15. Textfield(M) → InputBox4
  16. Polygon((x(K), y(K)), (x(K) + Z, y(K)), (x(K) + Z, y(K) + Z), (x(K), y(K) + Z)) → poly4, p, r, s, t
  17. Sequence(Polygon[(7, j), (7, j + T), (Z + 7, j + T), (Z + 7, j)], j, 0, Z - T, T) → UnitCut2
  18. Sequence(Polygon[(7, j), (7, j + T), (Z + 7, j + T), (Z + 7, j)], j, 0, (T * (M - 1)), T) → TheFrac2
  19. Sequence(Polygon[(i, y(J)), (i + S, y(J)), (i + S, y(J) + Z), (i, y(J) + Z)], i, x(J), x(J) + (S * (N - 1)), S) → MovingFrac
  20. Sequence(Polygon[(x(K), j), (x(K), j + T), (Z + x(K), j + T), (Z + x(K), j)], j, y(K), y(K) + (T * (M - 1)), T) → MovingFrac2
  21. Sequence(Polygon[(i, y(J)), (i + S, y(J)), (i + S, y(J) + Z), (i, y(J) + Z)], i, x(J), x(J) + Z - S, S) → MovingCut
  22. Sequence(Polygon[(x(K), j), (x(K), j + T), (Z + x(K), j + T), (Z + x(K), j)], j, y(K), y(K) + Z - T, T) → MovingCut2
  23. Segment(L, O) → a_1
  24. Segment(P, Q) → b_1
  25. Segment(R, U) → c_1
  26. Textfield(d_1) → InputBox5
  27. Textfield(e_1) → InputBox6
  28. Polygon(V, W, A_1, B_1, C_1, D_1) → poly5, v_1, w_1, a_2, b_2, c_2, d_2