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Write Equations Based on Tables by Matthew Zeigler

Write Equations Based on Tables by Matthew Zeigler
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2015-02-02 09:36
FunctionCoordinate GeometryInequality
This example demonstrates how to write equations based on given table data. Key mathematical concepts include linear equations, exponential functions, and piecewise functions. Using GeoGebra commands such as Random, If, and FractionText, the construction process of the equations is dynamically shown. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Random(2, 10) → denominator6
  2. Random(1, (2 * denominator6)) → numerator6
  3. Random(2, 10) → denominator5
  4. Random(1, (2 * denominator5)) → numerator5
  5. Random(2, 10) → denominator4
  6. Random(1, (2 * denominator4)) → numerator4
  7. Random(2, 10) → denominator1
  8. Random(2, 10) → denominator3
  9. Random(1, (2 * denominator3)) → numerator3
  10. Random(2, 10) → denominator2
  11. Random(1, (2 * denominator2)) → numerator2
  12. Random(1, (2 * denominator1)) → numerator1
  13. If(ShowAnswers ≟ true, (("y = " * FractionText[coefficientX1]) * "x"), "y") → yLabel1
  14. If(ShowAnswers ≟ true, (("y = " * FractionText[coefficientX2]) * "x"), "y") → yLabel2
  15. If(ShowAnswers ≟ true, (("y = " * FractionText[coefficientX3]) * "x"), "y") → yLabel3
  16. If(ShowAnswers ≟ true, (("y = " * FractionText[coefficientX4]) * "x"), "y") → yLabel4
  17. If(ShowAnswers ≟ true, (("y = " * FractionText[coefficientX5]) * "x"), "y") → yLabel5
  18. If(ShowAnswers ≟ true, (("y = " * FractionText[coefficientX6]) * "x"), "y") → yLabel6
  19. FractionText((A2 * coefficientX1)) → B2
  20. FractionText((A3 * coefficientX1)) → B3
  21. FractionText((A4 * coefficientX1)) → B4
  22. FractionText((A5 * coefficientX1)) → B5
  23. FractionText((A6 * coefficientX1)) → B6
  24. FractionText((A7 * coefficientX1)) → B7
  25. FractionText((D2 * coefficientX2)) → E2
  26. FractionText((D3 * coefficientX2)) → E3
  27. FractionText((D4 * coefficientX2)) → E4
  28. FractionText((D5 * coefficientX2)) → E5
  29. FractionText((D6 * coefficientX2)) → E6
  30. FractionText((D7 * coefficientX2)) → E7
  31. FractionText((G2 * coefficientX3)) → H2
  32. FractionText((G3 * coefficientX3)) → H3
  33. FractionText((G4 * coefficientX3)) → H4
  34. FractionText((G5 * coefficientX3)) → H5
  35. FractionText((G6 * coefficientX3)) → H6
  36. FractionText((G7 * coefficientX3)) → H7
  37. FractionText((J2 * coefficientX4)) → K2
  38. FractionText((J3 * coefficientX4)) → K3
  39. FractionText((J4 * coefficientX4)) → K4
  40. FractionText((J5 * coefficientX4)) → K5
  41. FractionText((J6 * coefficientX4)) → K6
  42. FractionText((J7 * coefficientX4)) → K7
  43. FractionText((M2 * coefficientX5)) → N2
  44. FractionText((M3 * coefficientX5)) → N3
  45. FractionText((M4 * coefficientX5)) → N4
  46. FractionText((M5 * coefficientX5)) → N5
  47. FractionText((M6 * coefficientX5)) → N6
  48. FractionText((M7 * coefficientX5)) → N7
  49. FractionText((P2 * coefficientX6)) → Q2
  50. FractionText((P3 * coefficientX6)) → Q3
  51. FractionText((P4 * coefficientX6)) → Q4
  52. FractionText((P5 * coefficientX6)) → Q5
  53. FractionText((P6 * coefficientX6)) → Q6
  54. FractionText((P7 * coefficientX6)) → Q7
  55. TableText({{A1, B1}, {A2, B2}, {A3, B3}, {A4, B4}, {A5, B5}, {A6, B6}, {A7, B7}}, "|_") → Table1
  56. TableText({{D1, E1}, {D2, E2}, {D3, E3}, {D4, E4}, {D5, E5}, {D6, E6}, {D7, E7}}, "|_") → Table2
  57. TableText({{G1, H1}, {G2, H2}, {G3, H3}, {G4, H4}, {G5, H5}, {G6, H6}, {G7, H7}}, "|_") → Table3
  58. TableText({{J1, K1}, {J2, K2}, {J3, K3}, {J4, K4}, {J5, K5}, {J6, K6}, {J7, K7}}, "|_") → Table4
  59. TableText({{M1, N1}, {M2, N2}, {M3, N3}, {M4, N4}, {M5, N5}, {M6, N6}, {M7, N7}}, "|_") → Table5
  60. TableText({{P1, Q1}, {P2, Q2}, {P3, Q3}, {P4, Q4}, {P5, Q5}, {P6, Q6}, {P7, Q7}}, "|_") → Table6