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Ordering Rational Numbers by Celia Jimenez

Ordering Rational Numbers by Celia Jimenez
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2014-09-28 05:50
Coordinate GeometryProbability & StatisticsGeometric Construction
This example demonstrates the ordering and comparison of rational numbers by dragging values to their correct positions on a number line. Key math concepts include rational numbers, number line representation, and magnitude comparison. It is constructed using GeoGebra commands like Polygon, Segment, Sort, If, and RandomElement. Suitable for middle school and above students to understand rational number concepts and number line applications.

GeoGebra Commands & Parameters

  1. Polygon(K, L, V, W) → poly2, k_1, l, v, w_1
  2. Polygon(L, V, U, M) → poly3, l_1, v_1, u, m
  3. Polygon(M, U, T, N) → poly4, m_1, u_1, t, n
  4. Segment(I, H) → a
  5. Segment(H, Z) → c
  6. Segment(Z, F) → d
  7. Segment(F, G) → e
  8. Segment(A_1, Aact) → f
  9. Segment(C_1, Cact) → g
  10. Segment(D_1, Dact) → h
  11. Segment(B_1, Eact) → i
  12. Sort({x(A_1), x(B_1), x(C_1), x(D_1)}) → list1
  13. If(IndexOf[E, Sort[{A1, B1, C1, D1}]] ≟ IndexOf[x(B_1), Sort[{x(A_1), x(B_1), x(C_1), x(D_1)}]], 1) → orderB
  14. If(IndexOf[A, Sort[{A1, B1, C1, D1}]] ≟ IndexOf[x(A_1), Sort[{x(A_1), x(B_1), x(C_1), x(D_1)}]], 1) → orderA
  15. Sort({A1, B1, C1, D1}) → Test
  16. If(IndexOf[C, Sort[{A1, B1, C1, D1}]] ≟ IndexOf[x(C_1), Sort[{x(A_1), x(B_1), x(C_1), x(D_1)}]], 1) → orderC
  17. If(IndexOf[D, Sort[{A1, B1, C1, D1}]] ≟ IndexOf[x(D_1), Sort[{x(A_1), x(B_1), x(C_1), x(D_1)}]], 1) → orderD
  18. RandomElement({2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}) → Ddenom
  19. RandomElement({-9, -8, -7, -6, -5, -4, -3, -2, -1, 1, 2, 3, 4, 5, 6, 7, 8, 9}) → Dwhole
  20. Polygon(J, X, W, K) → poly1, j, E_1, w, k
  21. RandomElement({2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}) → Cdenom
  22. If(Cdenom ≟ 2, Random[-20, 20, true], If[Cdenom ≟ 3, Random[-30, 30, true], If[Cdenom ≟ 4, Random[-40, 40, true], If[Cdenom ≟ 5, Random[-50, 50, true], If[Cdenom ≟ 6, Random[-60, 60, true], If[Cdenom ≟ 7, Random[-70, 70, true], If[Cdenom ≟ 8, Random[-80, 80, true], If[Cdenom ≟ 9, Random[-90, 90, true], If[Cdenom ≟ 10, Random[-100, 100, true], If[Cdenom ≟ 11, Random[-110, 110, true], If[Cdenom ≟ 12, Random[-120, 120, true]]]]]]]]]]]) → Cnum