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Placing Whole Numbers on the Number Line

Placing Whole Numbers on the Number Line
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2016-05-27 02:29
FunctionSequenceCoordinate Geometry
This example demonstrates how to place and represent whole numbers on a number line. It involves core mathematical concepts such as the number line, whole numbers, and the positional relationships between numbers. Key GeoGebra commands and objects used in the construction include Sequence, Shuffle, Join, Element, Point, Segment, and Vector. It is suitable for middle school mathematics teaching, helping students visually understand the order and position of integers.

GeoGebra Commands & Parameters

  1. Sequence(RandomElement[{-1, 1}], i, 1, 4) → signs
  2. Shuffle({1, 2, 3, 4, 5, 6, 7, 8, 9}) → list2, {5, 1, 3, 6, 9, 8, 4, 7, 2}
  3. Join({First[list2, n + 1], Sequence[0, i, 1, n - 1]}) → list3
  4. Sequence(First[Shuffle[list3], n + 1], i, 1, 100) → list4
  5. Sequence(First[Element[list4, i], n], i, 1, 100) → list5
  6. Sequence(Sum[Sequence[(Element[list5, i, k] * 10^(n - k)), k, 1, n]], i, 1, 100) → matrix1
  7. Shuffle(Unique[matrix1]) → list6, {530, 560, 506, 53, 536, 61, 360, 503, 500, 30, 306, 51, 105, 31, 653, 106, 605, 136, 63, 510, 163, 600, 501, 60, 103, 651, 561, 153, 160, 130, 300, 516, 310, 316, 150, 305, 1, 601, 650, 5, 6, 165, 531, 100, 630, 3, 36, 631, 10, 56, 16, 15}
  8. Element(list6, 1) → one
  9. Element(list6, 2) → two
  10. Element(list6, 3) → three
  11. Element(list6, 4) → four
  12. Element(list6, 5) → five
  13. Element(list6, 6) → six
  14. Element(list6, 7) → seven
  15. Element(list6, 8) → eight
  16. Element(list6, 9) → nine
  17. Element(list6, 10) → ten
  18. Point(y = 0) → A
  19. Point(y = 0) → B
  20. Point(y = 0) → C
  21. Point(y = 0) → D
  22. Point(y = 0) → E
  23. Point(y = 0) → F
  24. Point(y = 0) → G
  25. Point(y = 0) → H
  26. Point(y = 0) → I
  27. Point(y = 0) → J
  28. Segment(K, L) → b
  29. Segment(M, Z) → f
  30. Vector(A, N) → u
  31. Vector(B, O) → v
  32. Vector(C, P) → w
  33. Vector(D, Q) → a
  34. Vector(E, R) → c
  35. Vector(F, S) → d
  36. Vector(G, T) → e
  37. Vector(H, U) → g
  38. Vector(I, V) → h
  39. Vector(J, W) → i