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Multiplying Fractions by Joko Nugroho

Multiplying Fractions by Joko Nugroho
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2020-11-04 10:13
Circle
This example demonstrates the process of multiplying fractions. Key mathematical concepts include fractions and multiplication. Using GeoGebra commands such as Point, Polygon, Textfield, etc., users can dynamically explore the geometric meaning of fraction multiplication. Suitable for high-grade elementary and junior high school students.

GeoGebra Commands & Parameters

  1. Point({1 - mover, 0}) → f2Point
  2. Point({-1 + mover, 0}) → f1Point
  3. Polygon(f1Point, f1Point + (f1, 0), f1Point + (f1, 1), f1Point + (0, 1)) → f1poly, f1point, n, p, q
  4. Polygon(f2Point, E, G, H) → poly3, f2point, e, g_1, h_1
  5. Textfield(f1Text) → InputBox1
  6. Textfield(f2Text) → InputBox2
  7. IndexOf(47, TextToUnicode[f1Text]) → slash1
  8. IndexOf(47, TextToUnicode[f2Text]) → slash2
  9. Take(f1Text, slash1 + 1) → D1Text
  10. Polygon(f1Point, f1Point + (1, 0), 4) → poly1, f, g, h, i, A, B
  11. Polygon(f2Point, f2Point + (1, 0), 4) → poly2, j, k, l, m, C, D
  12. Take(f2Text, slash2 + 1) → D2Text
  13. Sequence(Segment[f1Point + (i / D1, 0), f1Point + (i / D1, 1)], i, 1, D1 - 1) → f1Bars
  14. Sequence(Segment[f2Point + (0, i / D2), f2Point + (1, i / D2)], i, 1, D2 - 1) → f2Bars
  15. Polygon(f2Point, f2Point + (0, f2), f2Point + (1, f2), f2Point + (1, 0)) → f2poly, r, s, t, a
  16. RemoveUndefined(Sequence[If[pN / i ≟ floor(pN / i), i], i, 1, pN]) → Nfactors
  17. RemoveUndefined(Sequence[If[pD / i ≟ floor(pD / i), i], i, 1, pD]) → Dfactors
  18. Intersection(Nfactors, Dfactors) → factors

AI Drawing Prompt Reference

Draw two aligned fraction rectangles in the same coordinate plane. Use two base points for the left rectangle and build a vertical polygon of height 1; use another base point pair to form a matching right rectangle. Inside the left rectangle, divide from bottom to top into several thin vertical line segments according to the denominator entered for the left fraction. Inside the right rectangle, divide from left to right into several thin horizontal line segments according to the denominator entered for the right fraction. Place text input areas on the diagram for the two fractions, including a slash separator between numerator and denominator, so the partitioned regions visually suggest the multiplication relationship between the two fractions.
The prompt above was compiled from the original drawing commands and is for reference only.