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Binomial Multiplication: Visual Expansion and Answer Checking

Binomial Multiplication: Visual Expansion and Answer Checking
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2025-01-09 20:21
In collections Multiplikation von Binomen
This GeoGebra example visualizes the multiplication of two binomials as an interactive, segmented geometric process, guiding students to expand and verify algebraic results. It emphasizes key concepts: the distributive property for binomial products, algebraic expansion, combining like terms, and tracking how signs and coefficients change when a “+” is replaced by “−” or when the expression in the

GeoGebra Commands & Parameters

  1. Point(Line[Pos0a, yAxis]) → Pos0b
  2. SelectedIndex(DropDown3) → input3
  3. If(step < 7, Pos0a, Pos0b) → Pos0
  4. Point(Line[Pos0, xAxis]) → Pos3
  5. Point(Line[Pos0 + (0, -0.7), xAxis]) → Pos4
  6. Point(CircleArc[Midpoint[Pos4, Pos6] + (0, (-height4)), Pos4, Pos6]) → B4
  7. Point(Line[Pos0, xAxis]) → Pos2
  8. Point(CircleArc[Midpoint[Pos4, Pos5] + (0, (-height3)), Pos4, Pos5]) → B3
  9. Point(Line[Pos0, xAxis]) → Pos1
  10. Point(CircleArc[Midpoint[Pos3, Pos1] + (0, height2), Pos3, Pos1]) → B2
  11. Point(CircleArc[Midpoint[Pos2, Pos1] + (0, height1), Pos2, Pos1]) → B1
  12. SelectedIndex(DropDown5) → input5
  13. SelectedIndex(DropDown7) → input7
  14. SelectedIndex(DropDown9) → input9
  15. SelectedIndex(DropDown11) → input11
  16. SelectedIndex(DropDown1) → input1
  17. Textfield(input1) → Eingabefeld1
  18. Textfield(input2) → Eingabefeld2
  19. Point(Line[Trixi1, xAxis]) → Trixi2
  20. CircleArc(Midpoint[Pos2, Pos1] + (0, height1), B1, Pos1) → bogen1
  21. CircleArc(Midpoint[Pos3, Pos1] + (0, height2), B2, Pos1) → bogen2
  22. CircleArc(Midpoint[Pos4, Pos5] + (0, (-height3)), Pos4, B3) → bogen3
  23. CircleArc(Midpoint[Pos4, Pos6] + (0, (-height4)), Pos4, B4) → bogen4
  24. Textfield(input4) → Eingabefeld4
  25. Textfield(input6) → Eingabefeld6
  26. RotateText("\textsf{Minus-\\zeichen!}", 4°) → TextMinus
  27. Textfield(input8) → Eingabefeld8
  28. Textfield(input10) → Eingabefeld10
  29. Textfield(input12) → Eingabefeld12
  30. Sequence(Pos0 + (5.5, -1.2) + (m * (1.8, 0)), m, 0, 2) → listPosSol