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Comparing Fractions with Same Numerator by ROHIT ROY (4)

Comparing Fractions with Same Numerator by ROHIT ROY (4)
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2019-02-01 22:11
Geometric Construction
This example demonstrates how to compare the sizes of fractions with the same numerator using geometric intuition and number-shape combination. It involves core mathematical concepts like fraction comparison. The construction utilizes GeoGebra commands/objects such as RandomElement, If, Point, Circle, Sequence, Sector, Textfield, Segment, and AttachCopyToView. Suitable for middle school mathematics teaching to help students understand the geometric meaning of fraction comparison.

GeoGebra Commands & Parameters

  1. RandomElement({11, 12, 13, 14, 15}) → D1
  2. If(D2 ≟ 1, D1, D1 + D2) → b
  3. Point(xAxis) → C
  4. Point(xAxis) → D
  5. Circle(C, D) → e
  6. Point(xAxis) → E
  7. Point(xAxis) → F
  8. Circle(E, F) → f
  9. Sequence(Rotate[D, (360° * i / D1), C], i, 1, D1) → list1
  10. Sequence(Segment[C, Element[list1, i]], i, 1, D1 + 1) → list2
  11. Sector(e, D, Element[list1, N1]) → g
  12. Sequence(Rotate[F, (360° * i / b), E], i, 1, b) → list3
  13. Sequence(Segment[E, Element[list3, i]], i, 1, b) → list4
  14. Circle(E, 1.3) → k
  15. Sector(f, F, Element[list3, New]) → h
  16. Textfield(D1) → InputBox1
  17. Textfield(N1) → InputBox2
  18. Textfield(Mul) → InputBox3
  19. Segment(Q, R) → j
  20. Segment(Q, R) → l
  21. Segment(S, T) → m
  22. AttachCopyToView(PolyLine[(12.2205876488494,-5.88921046287111), (NaN,NaN), (12.2205876488494,-5.88921046287111), true], 1, (-3.6253531256903755, -5.8892104628711035), (8.613381618872829, 4.292598364169786), (0, 948), (1140, 0)) → stroke1