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Graphing Rational Numbers on a Number Line

Graphing Rational Numbers on a Number Line
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2016-08-11 01:16
FunctionCoordinate GeometryGeometric Construction
This example demonstrates the representation of rational numbers on a number line by dragging them to their correct positions. Key mathematical concepts include rational numbers and their positions on the number line. Commands used include RandomElement, If, Polygon, Segment, FractionText, Random, and Sort. Suitable for middle school and above students to learn about rational numbers.

GeoGebra Commands & Parameters

  1. RandomElement({2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}) → Cdenom
  2. 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
  3. Polygon(I, W, V, J) → poly1, i, w, v, j
  4. Polygon(J, V, U, K) → poly2, j_1, v_1, u, k
  5. Polygon(K, U, T, L) → poly3, k_1, u_1, t, l
  6. Polygon(L, T, S, M) → poly4, l_1, t_1, s, m
  7. Segment(H, G) → c
  8. Segment(G, Z) → d
  9. Segment(Z, E) → e
  10. Segment(E, F) → f
  11. FractionText(C) → Cfancy
  12. RandomElement({2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}) → Ddenom
  13. RandomElement({-9, -8, -7, -6, -5, -4, -3, -2, -1, 1, 2, 3, 4, 5, 6, 7, 8, 9}) → Dwhole
  14. Random(1, Ddenom - 1, true) → Dnum
  15. FractionText(Dnum / Ddenom) → Dfancy
  16. If(Dwhole < 0, Dwhole - Dnum / Ddenom, Dwhole + Dnum / Ddenom) → D
  17. Segment(A_1, Aact) → aerr
  18. Segment(B_1, Bact) → berr
  19. Segment(C_1, Cact) → cerr
  20. Segment(D_1, Dact) → derr
  21. Sort({A, B, C, D}) → test
  22. Sort({x(A_1), x(B_1), x(C_1), x(D_1)}) → test2
  23. If(IndexOf[A, Sort[{A, B, C, D}]] ≟ IndexOf[x(A_1), Sort[{x(A_1), x(B_1), x(C_1), x(D_1)}]], 1) → orderA
  24. If(IndexOf[B, Sort[{A, B, C, D}]] ≟ IndexOf[x(B_1), Sort[{x(A_1), x(B_1), x(C_1), x(D_1)}]], 1) → orderB
  25. If(IndexOf[C, Sort[{A, B, C, D}]] ≟ IndexOf[x(C_1), Sort[{x(A_1), x(B_1), x(C_1), x(D_1)}]], 1) → orderC
  26. If(IndexOf[D, Sort[{A, B, C, D}]] ≟ IndexOf[x(D_1), Sort[{x(A_1), x(B_1), x(C_1), x(D_1)}]], 1) → orderD

AI Drawing Prompt Reference

Draw a number line and place several fractions, including whole and fractional numbers, on it. First, randomly choose a denominator (2 to 12) and then generate a numerator based on the denominator to form a fraction. Mark these fractions on the number line. Next, randomly choose another denominator (2 to 12) and generate a mixed number, then place it on the number line. Finally, ensure all fractions are sorted in ascending order and adjust their positions on the number line.
The prompt above was compiled from the original drawing commands and is for reference only.