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Opposites Practice: Find the Additive Inverse via Symmetry on a Number Line

Opposites Practice: Find the Additive Inverse via Symmetry on a Number Line
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2024-12-16 19:45
In collections Gegenzahl und Betrag einer rationalen Zahl
This GeoGebra example uses interactive multiple-choice and open-ended questions to help students determine the additive inverse (相反数, Gegenzahl) of integers by visualizing symmetry with respect to 0 on a number line. It targets core ideas: the definition of opposites (a and −a), working with positive/negative integers, interpreting absolute value as the distance from the origin, and reading values

GeoGebra Commands & Parameters

  1. Textfield(input1) → InputBox1
  2. Textfield(input2) → InputBox2
  3. Textfield(input3) → InputBox3
  4. Textfield(input4) → InputBox4
  5. SelectedIndex(DD1) → index1
  6. SelectedIndex(DD2) → index2
  7. Sequence(GeradePLinks + ((Length[Segment[GeradePLinks, GeradePRechts]] * i / unterteilungen), 0), i, 1, unterteilungen) → l1
  8. Sequence(Segment[l1(i) + (0, dyMark), l1(i) + (0, (-dyMark))], i, 1, Length[l1] - 1) → l2
  9. Segment(GeradePLinks, GeradePRechts) → f
  10. Point(f) → A
  11. Distance(l1(1), l1(2)) → unit
  12. Mirror(A, NullPunkt) → A'
  13. Text(Text19, D, false, true, 0, 0) → Text20
  14. Text(Text21, E, false, true, 0, 0) → Text22
  15. Segment(A + (-0.5, -0.5), A + (-1.3, -1.3)) → i
  16. Text(Text17, A + (-2, -1.8), false, true, 0, 0) → Text18
  17. Segment(NullPunkt + (0, dh), A + (0, dh)) → g
  18. Segment(NullPunkt + (0, dh), A' + (0, dh)) → h
  19. Segment(A, A + (0, dh)) → j
  20. Segment(A', A' + (0, dh)) → k
  21. Sequence(Segment[l1((5 * i) + 1) + (0, (dyMark * rel)), l1((5 * i) + 1) + (0, ((-dyMark) * rel))], i, 0, Length[l1] - 1) → l3
  22. Text(txtZahl, A + (0, 0.65), false, true, 0, 0) → Text8
  23. Text(txtGegenzahl, A' + (0, 0.65), false, true, 0, 0) → Text9
  24. Text(txtZahlHelper, A + (0, 1.3), false, true, 0, 0) → Text23
  25. Circle(NullPunkt, 0.15) → c