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Absolute Value: Concept, Calculation & Visualization

Absolute Value: Concept, Calculation & Visualization
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2024-12-16 19:45
In collections Gegenzahl und Betrag einer rationalen Zahl
This GeoGebra resource teaches the fundamental concept and calculation of absolute value. Key mathematical concepts include: ①Definition of absolute value as the distance from a point on the number line to the origin; ②Notation |a| representing absolute value; ③Rules for calculating absolute values of positive and negative numbers. Construction uses interactive number line elements: Textfield for

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. Distance(l1(1), l1(2)) → unit
  11. Shuffle(Sequence[i, i, -19, -6]) → StartExList, {-16, -14, -10, -11, -8, -17, -18, -9, -15, -6, -13, -7, -12, -19}
  12. Shuffle(Sequence[i, i, 6, 19]) → MidExList, {12, 15, 7, 9, 16, 6, 18, 17, 19, 10, 13, 8, 11, 14}
  13. Join({{-13}, {StartExListMod(1)}, {(-StartExListMod(1))}, {7, -4, -8, 3}}) → ExListGlobal
  14. Segment(GeradePLinks, GeradePRechts) → i
  15. Point(i) → A
  16. Mirror(A, NullPunkt) → A'
  17. Text(txtZahl, A + (0, 0.7), false, true, 0, 0) → Text8
  18. Text(txtGegenzahl, A' + (0, 0.7), false, true, 0, 0) → Text9
  19. Segment(H, I) → j
  20. Segment(StartPunkt, H) → k
  21. Text(Text22, Midpoint[H, I] + (0, 0.3), false, true, 0, 0) → Text23
  22. Sequence(Segment[l1((5 * i) + 1) + (0, (dyMark * rel)), l1((5 * i) + 1) + (0, ((-dyMark) * rel))], i, 0, Length[l1] - 1) → l3
  23. Segment(H, L) → g
  24. SelectedIndex(DD3) → index3
  25. Polygon(A, A + (-0.31, 0), A + (-0.31, 1.5), A + (0.51, 1.5), A + (0.51, 0)) → Vieleck1, h, l, m, n, p
  26. Text(TxtStartValueBold, StartPunkt + (-0.1, -0.6), false, true, 0, 0) → Text15
  27. SelectedIndex(DD4) → index4
  28. Textfield(input5) → InputBox5
  29. Text(Text24, M, false, true, -1, 0) → Text32
  30. Text("\textsf{Start}", StartPunkt + (0, -1.15), false, true, 0, 0) → Text31
  31. Text(Text28, Midpoint[H, L] + (0, 0.3), false, true, 0, 0) → Text27