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Fraction Multiplication Demo by The Central Maths Hub

Fraction Multiplication Demo by The Central Maths Hub
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2017-06-15 16:40
Coordinate GeometrySolid GeometryGeometric Construction
In collections Concrete-Pictorial-Abstract and the Teaching for Mastery
This example dynamically demonstrates the process of multiplying two fractions, visually showing the geometric meaning of fraction multiplication. It involves core math concepts like fraction multiplication rules, area calculation of geometric shapes, and point representation in coordinate systems. GeoGebra commands and objects used include Max, Sequence, Segment, Point, Element, Polygon, etc., such as generating sequence points with Sequence and constructing geometric shapes with Polygon. Suitable for middle school and above learners, it aids in teaching and learning the relationship between fraction multiplication and geometric figures.

GeoGebra Commands & Parameters

  1. Max(Sequence[If[Mod[(a * c), i] + Mod[(b * d), i] ≟ 0, i, -1], i, 1, Min[{(a * c), (b * d)}]]) → Simplified_{GCF}
  2. Sequence(A + (t * (B - A)), t, 0, 1, 1 / b) → L1
  3. Sequence(C + (t * (D - C)), t, 0, 1, 1 / b) → L2
  4. Segment(A, B) → c_1
  5. Segment(C, D) → d_1
  6. Sequence(Segment[Element[L1, k], Element[L2, k]], k, 2, b) → L5
  7. Segment((0, 3), (4.8, 3)) → e
  8. Point(e) → H
  9. Segment(H, E) → f
  10. Segment(E, F) → g
  11. Segment(F, G) → h
  12. Segment(G, H) → i
  13. Segment(D, B) → j
  14. Segment(C, A) → k
  15. Element(L1, a + 1) → T1
  16. Element(L2, a + 1) → T2
  17. Polygon(A, T1, T2, C) → poly1, a_1, t1, t2, c_2
  18. Sequence(E + (t * (H - E)), t, 0, 1, 1 / d) → L3
  19. Sequence(F + (t * (G - F)), t, 0, 1, 1 / d) → L4
  20. Sequence(Segment[Element[L3, k], Element[L4, k]], k, 2, d) → L6
  21. Element(L3, c + 1) → T3
  22. Element(L4, c + 1) → T4
  23. Polygon(E, F, T4, T3) → poly2, e_1, f_1, t4, t3