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Comparing Fractions by Loh Yan Xiang

Comparing Fractions by Loh Yan Xiang
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2018-06-29 11:20
SequenceProbability & StatisticsGeometric Construction
This example demonstrates how to compare the sizes of fractions. It involves key mathematical concepts such as the properties of fractions. Using GeoGebra commands like LCM, Sequence, and Element, the comparison process is dynamically illustrated. Suitable for high-grade elementary or junior high school students to learn fraction comparison methods.

GeoGebra Commands & Parameters

  1. LCM(den1, den2) → b
  2. Sequence((-5 + (i * 10 / den1), 0), i, 0, den1) → list1
  3. Element(list1, 1) → c
  4. Sequence((-5 + (i * 10 / den1), 0.8), i, 0, den1) → list2
  5. Sequence(Segment[Element[list1, i], Element[list2, i]], i, 1, den1 + 1) → list3
  6. Sequence((-5 + (i * 10 / den2), 0), i, 0, den2) → list4
  7. Sequence((-5 + (i * 10 / den2), -0.8), i, 0, den2) → list5
  8. Sequence((-5 + (i * 10 / b), 0), i, 0, b) → list7
  9. Sequence(Segment[Element[list4, i], Element[list5, i]], i, 0, den2 + 1) → list6
  10. Segment(D, C) → a
  11. Polygon(E, F, J_1, K_1) → poly1, e, f, j_1, k_1
  12. Polygon(H, G, K_2, J_2) → Poly2, h, g, k_2, j_2
  13. Segment(J_1, K_11) → d
  14. Segment(J_1, K_2) → i
  15. Segment(K_2, K) → j
  16. Segment(K_11, K) → k