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Trixi's Vegetable Garden: Rectangle Area and Algebraic Division

Trixi's Vegetable Garden: Rectangle Area and Algebraic Division
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2024-06-26 16:55
In collections Multiplikation von Binomen
This interactive GeoGebra worksheet asks students to compute the area of a rectangular vegetable garden in two ways, then divide a 7 m × 4 m plot into four equal parts, find dimensions and area, and finally split an 8 m × 5 m garden using length ratio 1:3 and width ratio 2:3. It covers core concepts of rectangle area, ratio division, and algebraic term manipulation (expanding, combining, factoring

GeoGebra Commands & Parameters

  1. IndexOf("$\textsf{Länge\vphantom{Öj}}$", DropDown4) → correct4num
  2. SelectedIndex(DropDown4) → input4
  3. Point(Line[Beet1, v]) → Beet2
  4. Point(Translate[Segment[Beet2, Beet2 + ((2 / 5 * beetx), 0)], vschaufel]) → Schaufel1
  5. Flatten(Sequence[Sequence[Beet1 + (m * (beetx / 5, 0)) + (j * (0, beety / 4)), m, 1, 6], j, 1, 3]) → listpoints
  6. Point(listpoints) → TPoint
  7. Segment((x(Beet5), y(Beet1)) + (streckenabs, 0), (x(Beet5), y(TPoint)) + (streckenabs, 0)) → syRU
  8. Segment((x(Beet5), y(Beet5)) + (streckenabs, 0), (x(Beet5), y(TPoint)) + (streckenabs, 0)) → syRO
  9. Element({1, 2, 3, 4, 5, 6, 7, 7.1, 9, 10, 11, 12, 13, 14, 15}, step2) → step
  10. Textfield(input1) → Eingabefeld1
  11. Textfield(input2) → Eingabefeld2
  12. Point(Line[Garten1, xAxis]) → Garten2
  13. Point(Line[Trixi1, xAxis]) → Trixi2
  14. Textfield(input3) → Eingabefeld3
  15. Textfield(input0) → Eingabefeld0
  16. Point(Line[Beet3, xAxis]) → Beet3b
  17. Point(Translate[Translate[Segment[Beet2, Beet2 + ((2 / 5 * beetx), 0)], vschaufel], vschaufel2]) → Schaufel2
  18. Textfield(input5) → Eingabefeld5
  19. Textfield(input6) → Eingabefeld6
  20. Textfield(input7) → Eingabefeld7
  21. Textfield(input8) → Eingabefeld8
  22. Textfield(input9) → Eingabefeld9
  23. Textfield(input10) → Eingabefeld10
  24. Textfield(input11) → Eingabefeld11
  25. Point(Line[Trixi3, xAxis]) → Trixi4
  26. LaTeX(step, true, true) → Text35
  27. Textfield(input12) → Eingabefeld12
  28. Textfield(input13) → Eingabefeld13
  29. Textfield(input14) → Eingabefeld14
  30. Textfield(input15) → Eingabefeld15
  31. If(step ≟ 2, {Polygon[Beet1, (x(Beet1), y(Beet5)), Beet5, (x(Beet5), y(Beet1))]}, {Polygon[Beet1, (x(Beet5), y(Beet1)), (x(Beet5), y(TPoint)), (x(Beet1), y(TPoint))]}) → beetA
  32. Textfield(input16) → Eingabefeld16
  33. Textfield(input17) → Eingabefeld17
  34. Textfield(input18) → Eingabefeld18
  35. Textfield(input19) → Eingabefeld19
  36. Segment(Beet1 + (0, -0.8), (x(Beet5), y(Beet1) - 0.8)) → sxU
  37. Segment(Beet1 + ((-streckenabs), 0), (x(Beet1), y(TPoint)) + ((-streckenabs), 0)) → syLU
  38. Segment((x(Beet1), y(Beet5)) + ((-streckenabs), 0), (x(Beet1), y(TPoint)) + ((-streckenabs), 0)) → syLO
  39. Segment(Beet1 + (0, (-streckenabs)), (x(TPoint), y(Beet1)) + (0, (-streckenabs))) → sxUL
  40. Segment((x(TPoint), y(Beet1)) + (0, (-streckenabs)), (x(Beet5), y(Beet1) - streckenabs)) → sxUR
  41. Segment(Beet5 + ((6 * streckenabs), 0), (x(Beet5), y(Beet1)) + ((6 * streckenabs), 0)) → syRA
  42. Segment((x(Beet1), y(Beet5)) + (0, streckenabs), (x(TPoint), y(Beet5)) + (0, streckenabs)) → sxOL
  43. Segment((x(TPoint), y(Beet5)) + (0, streckenabs), (x(Beet5), y(Beet5) + streckenabs)) → sxOR
  44. Segment(Beet5 + (streckenabs, 0), (x(Beet5), y(Beet1)) + (streckenabs, 0)) → syRI
  45. Rotate(Segment[ArrowCenter + (ArrowDistance, 0), ArrowCenter + (ArrowDistance + ArrowLength, 0)], ArrowAngle + ((1 - 1) * (360°) / ArrowNumber), ArrowCenter) → arrow1
  46. Rotate(Segment[ArrowCenter + (ArrowDistance, 0), ArrowCenter + (ArrowDistance + ArrowLength, 0)], ArrowAngle + ((2 - 1) * (360°) / ArrowNumber), ArrowCenter) → arrow2
  47. Rotate(Segment[ArrowCenter + (ArrowDistance, 0), ArrowCenter + (ArrowDistance + ArrowLength, 0)], ArrowAngle + ((3 - 1) * (360°) / ArrowNumber), ArrowCenter) → arrow3
  48. Rotate(Segment[ArrowCenter + (ArrowDistance, 0), ArrowCenter + (ArrowDistance + ArrowLength, 0)], ArrowAngle + ((4 - 1) * (360°) / ArrowNumber), ArrowCenter) → arrow4
  49. PointIn(Circle[Pos5, 3]) → Kklein1a
  50. Point(Circle[Kklein1a, 1.7]) → Kklein1b
  51. PointIn(Circle[Pos5, 4]) → Sklein1a
  52. Point(Circle[Sklein1a, 1.5]) → Sklein1b
  53. Corner(PicBeetStep8, 3) → Beet4
  54. Segment((x(Beet3), y(Beet4)) + ((0.2 * streckenabs), streckenabs), (x(Beet4), y(Beet4)) + ((-0.2 * streckenabs), streckenabs)) → bxO
  55. Segment((x(Beet3), y(Beet3)) + ((0.2 * streckenabs), (-streckenabs)), (x(Beet4), y(Beet3)) + ((-0.2 * streckenabs), (-streckenabs))) → bxU
  56. Segment((x(Beet4), y(Beet4)) + (streckenabs, (-0.3 * streckenabs)), (x(Beet4), y(Beet3) + (0.73 * (y(Beet4) - y(Beet3)))) + (streckenabs, (0.3 * streckenabs))) → byO
  57. Segment((x(Beet4), y(Beet3) + (0.73 * (y(Beet4) - y(Beet3)))) + (streckenabs, (0.3 * streckenabs)), (x(Beet4), y(Beet3)) + (streckenabs, (0.3 * streckenabs))) → byU
  58. Segment((x(Beet4), y(Beet4)) + ((5.5 * streckenabs), (-0.3 * streckenabs)), (x(Beet4), y(Beet3)) + ((5.5 * streckenabs), (0.3 * streckenabs))) → byR
  59. PointIn(Circle[Pos13, 3]) → Kklein2a
  60. PointIn(Circle[Pos13, 5]) → Sklein2a
  61. PointIn(Circle[Pos13, 9]) → Bklein1a
  62. Point(Circle[Bklein1a, 1]) → Bklein1b
  63. PointIn(Circle[Pos13, 9]) → Tklein1a
  64. Point(Circle[Tklein1a, 1.3]) → Tklein1b
  65. Point(Circle[Kklein0a, 1.7]) → Kklein0b