Checking Indirect Proportions in Real-Life Supply & Time Problems

Checking Indirect Proportions in Real-Life Supply & Time Problems
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2023-10-18 22:13
This GeoGebra lesson uses a sequence of realistic word problems (e.g., how long food lasts for different numbers of cats or cows, time to pick the same amount of berries with help, and walking time changes when joining with another person) to demonstrate how to decide whether a relationship is indirectly proportional. It targets the key concept of indirect proportionality versus non-indirect propo

GeoGebra Commands & Parameters

  1. SelectedIndex(DropDown4) → Index4
  2. SelectedIndex(DropDown3) → Index3
  3. SelectedIndex(DropDown2) → Index2
  4. SelectedIndex(OpZeichen1) → IndexOp1
  5. SelectedIndex(OpZeichen2) → IndexOp2
  6. SelectedIndex(OpZeichen3) → IndexOp3
  7. SelectedIndex(DropDown1) → Index1
  8. SpeechBubbleRight(G, 9, 1) → Speech1
  9. Midpoint(TableE1, TableE4) → L
  10. Midpoint(TableE2, TableE3) → M
  11. Sequence(TableE1 + (Vector[TableE1, TableE2] * i / 6), i, 0, 6) → TablePointsL
  12. Sequence(TableE4 + (Vector[TableE1, TableE2] * i / 6), i, 0, 6) → TablePointsR
  13. Textfield(input1) → InputBox1
  14. SpeechBubbleLeft(H, 9, 1) → Speech2
  15. Midpoint(TablePointsL(2), TablePointsL(3)) → TL1
  16. Midpoint(TablePointsL(3), TablePointsL(4)) → TL2
  17. SpeechBubbleRight(D, 10.3, 1.5) → Speech3
  18. Textfield(input2) → InputBox2
  19. Textfield(input3) → InputBox3
  20. Textfield(input4) → InputBox4
  21. Textfield(input5) → InputBox5
  22. Textfield(input6) → InputBox6
  23. Midpoint(TablePointsR(2), TablePointsR(3)) → TR1
  24. Midpoint(TablePointsR(3), TablePointsR(4)) → TR2
  25. Midpoint(TablePointsL(4), TablePointsL(5)) → TL3
  26. Midpoint(TablePointsR(4), TablePointsR(5)) → TR3
  27. Midpoint(TablePointsL(5), TablePointsL(6)) → TL4
  28. Midpoint(TablePointsL(6), TablePointsL(7)) → TL5
  29. Midpoint(TablePointsR(5), TablePointsR(6)) → TR4
  30. Midpoint(TablePointsR(6), TablePointsR(7)) → TR5
  31. SpeechBubbleRight(A, 9, 2) → Vieleck1
  32. Semicircle(TL2, TL1) → a
  33. Semicircle(TR1, TR2) → b
  34. Semicircle(TL3, TL2) → c
  35. Semicircle(TL4, TL3) → e
  36. Semicircle(TL5, TL4) → f
  37. Semicircle(TR2, TR3) → d
  38. Semicircle(TR3, TR4) → g
  39. Semicircle(TR4, TR5) → h