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Simplifying Fractions - Mobile Version by Linda Fahlberg-Stojanovska

Simplifying Fractions - Mobile Version by Linda Fahlberg-Stojanovska
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2011-12-14 06:26
FunctionCoordinate GeometryGeometric Construction
This example demonstrates the process and result of simplifying fractions, involving core math concepts like fraction reduction, greatest common divisor, and basic geometric operations. It uses commands such as Segment, Ray, Point, Sequence, Element, and Polygon in GeoGebra for construction. Suitable for middle school and above learners to understand the fundamental properties of fractions and geometric intuition.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a_1
  2. Segment(B, C) → b_1
  3. Segment(C, D) → c_1
  4. Segment(D, A) → d_1
  5. Ray(D, C) → e
  6. Point(e) → E
  7. Segment(E, F) → e_1
  8. Segment(F, G) → f_1
  9. Segment(G, H) → g_1
  10. Segment(H, E) → h_1
  11. Sequence(A + t * (B - A), t, 0, 1, 1 / b) → L1
  12. Sequence(D + t * (C - D), t, 0, 1, 1 / b) → L2
  13. Sequence(H + t * (G - H), t, 0, 1, 1 / d) → L3
  14. Sequence(E + t * (F - E), t, 0, 1, 1 / d) → L4
  15. Sequence(Segment[Element[L1, k], Element[L2, k]], k, 2, b) → L5
  16. Sequence(Segment[Element[L3, k], Element[L4, k]], k, 2, d) → L6
  17. Element(L1, a + 1) → T1
  18. Element(L2, a + 1) → T2
  19. Polygon(A, T1, T2, D) → poly1, a_2, t1, t2, d_2
  20. Element(L3, c + 1) → T3
  21. Element(L4, c + 1) → T4
  22. Polygon(E, T4, T3, H) → poly2, e_2, t4, t3, h_2