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Expanding and Reducing Fractions to Decimals

Expanding and Reducing Fractions to Decimals
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2022-09-22 15:37
VectorFunctionCoordinate GeometryGeometric ConstructionSlider Animation
In collections Bruchzahlen: Erweitern und Kürzen
This example demonstrates how to convert fractions to decimal form through expanding and reducing. The core math concepts involved include fraction expansion and reduction, decimal representation, and the relationship between fractions and decimals. It utilizes GeoGebra commands like If, SpeechBubbleRight, Polygon, IsInRegion, Corner, SpeechBubbleLeft, Textfield, Segment, SelectedIndex, CircleArc, Point, and Vector for construction. Suitable for 5-6 grade students to understand and master fraction expansion, reduction, and the conversion between fractions and decimals, with visual aids to help grasp abstract concepts.

GeoGebra Commands & Parameters

  1. If(move ≟ 5, bInput ≟ solB(1), If[move ≟ 7, bInput ≟ solB(2), If[move ≟ 9, bInput ≟ solB(3), If[move ≟ 11, bInput ≟ solB(4), bInput ≟ solB(5)]]]) → c5
  2. If(move ≟ 4 ∨ move ≟ 5, aInput ≟ solA(1), If[move ≟ 6 ∨ move ≟ 7, aInput ≟ solA(2), If[move ≟ 8 ∨ move ≟ 9, aInput ≟ solA(3), If[move ≟ 10 ∨ move ≟ 11, aInput ≟ solA(4), If[move ≟ 12 ∨ move ≟ 13, aInput ≟ solA(5)]]]]) → c4
  3. SpeechBubbleRight(C, 7.7, 2) → poly1
  4. Polygon(D, E, F, G) → box1, d, e, f, g
  5. Polygon(H, I, J, K) → box2, h, i, j, k
  6. Polygon(L, M, N, O) → box3, l, m, n, o
  7. IsInRegion(Point1, box1) → c1
  8. IsInRegion(Point2, box2) → c2
  9. IsInRegion(Point3, box3) → c3
  10. Corner(text5, 4) → S
  11. Corner(text5, 1) → T
  12. Corner(text5, 2) → U
  13. Corner(text5, 3) → V
  14. Polygon(S, T, U, V) → umrand1, s, t, u, v
  15. Corner(text6, 4) → W
  16. Corner(text6, 3) → Z
  17. Corner(text6, 2) → A_1
  18. Corner(text6, 1) → B_1
  19. Polygon(W, Z, A_1, B_1) → umrand2, w, z_1, a_1, b_1
  20. Corner(text7, 4) → C_1
  21. Corner(text7, 3) → D_1
  22. Corner(text7, 2) → E_1
  23. Corner(text7, 1) → F_1
  24. Polygon(C_1, F_1, E_1, D_1) → umrand3, c_1, f_1, e_1, d_1
  25. SpeechBubbleRight(I_1, 5.5, 2) → poly2
  26. SpeechBubbleLeft(L_1, 7.3, 1) → poly3
  27. Textfield(aInput) → InputBox1
  28. Segment(M_1, N_1) → p
  29. SpeechBubbleLeft(L_1, 10.2, 1.3) → poly4
  30. Textfield(bInput) → InputBox2
  31. SpeechBubbleLeft(L_1, 6.5, 1) → poly5
  32. SpeechBubbleLeft(O_1, 7.3, 1.5) → poly6
  33. Textfield(cInput) → InputBox3
  34. Textfield(dInput) → InputBox4
  35. SpeechBubbleLeft(R_1, 11, 2.3) → poly7
  36. SelectedIndex(l1) → index1
  37. SelectedIndex(l2) → index2
  38. SelectedIndex(l3) → index3
  39. SpeechBubbleRight(I_2, 10.8, 1.1) → poly8
  40. SpeechBubbleRight(I_2, 9.5, 1.1) → poly9
  41. Corner(text39, 1) → J_2
  42. Corner(text39, 2) → K_2
  43. Corner(text39, 3) → L_2
  44. Corner(text39, 4) → M_2
  45. Polygon(J_2, K_2, L_2, M_2) → umrand4, j_2, k_2, l_2, m_2
  46. Corner(text40, 1) → N_2
  47. Corner(text40, 2) → O_2
  48. Corner(text40, 3) → P_2
  49. Corner(text40, 4) → Q_2
  50. Polygon(N_2, O_2, P_2, Q_2) → umrand5, n_2, o_2, p_2, q_2
  51. Corner(text41, 1) → R_2
  52. Corner(text41, 2) → S_2
  53. Corner(text41, 3) → T_2
  54. Corner(text41, 4) → U_2
  55. Polygon(S_2, T_2, U_2, R_2) → umrand6, s_2, t_2, u_2, r_2
  56. IsInRegion(Point1_2, box1) → c7
  57. IsInRegion(Point2_2, box2) → c8
  58. IsInRegion(Point3_2, box3) → c9
  59. CircleArc(V_2, W_2, Z_2) → c
  60. Point(c) → A_3
  61. Vector(A_3, B_3) → a
  62. Textfield(eInput) → InputBox5
  63. Textfield(fInput) → InputBox6
  64. CircleArc(C_3, D_3, E_3) → q
  65. Point(q) → F_3
  66. Vector(F_3, G_3) → b
  67. Segment(M_1 - (0.1, 0), N_1 + (0.1, 0)) → p_1

AI Drawing Prompt Reference

Draw a shape with five boxes, each containing a text prompt. The first box shows 'Convert fractions to decimals', the second box shows 'Expand fractions', the third box shows 'Simplify fractions', the fourth box shows 'Relationship between fractions and decimals', and the fifth box shows 'Practice problems'. Each box is made up of four corner points, connected by line segments. Each box contains corresponding text prompts to guide users on how to convert between fractions and decimals.
The prompt above was compiled from the original drawing commands and is for reference only.