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Direct and Inverse Proportionality Practice

Direct and Inverse Proportionality Practice
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2023-07-20 14:10
FunctionGraphing
In collections Direkte Proportionalität
This GeoGebra example presents three real-life math problems and one multiple-choice question to help students master direct and inverse proportionality concepts. Problem 1 calculates cat food for 3 days, Problem 2 finds total price of 15 balls at 20€ each, Problem 3 determines reading time for remaining pages. The multiple-choice question reinforces that in direct proportionality, half corresponds to half. Construction uses Textfield for input, If conditions for answer checking, SpeechBubbleLeft for feedback, with Semicircle and Point objects for visual enhancement. Designed for grades 5-6 students to practice ratio calculations and real-world problem solving.

GeoGebra Commands & Parameters

  1. SelectedIndex(DropDown6) → input6
  2. SelectedIndex(DropDown8) → input8
  3. SelectedIndex(DropDown10) → input10
  4. Textfield(input1) → Eingabefeld1
  5. Textfield(input2) → Eingabefeld2
  6. SelectedIndex(DropDown3) → input3
  7. Textfield(input4) → Eingabefeld4
  8. SelectedIndex(DropDown5) → input5
  9. Textfield(input7) → Eingabefeld7
  10. If(input6 ≟ 1 ∨ input8 ≟ 1 ∨ input10 ≟ 1, 11.3, 9.6) → pos2
  11. Textfield(input9) → Eingabefeld9
  12. Semicircle(C4, C1) → kc3
  13. Semicircle(C3, C1) → kc2
  14. Semicircle(C2, C1) → kc1
  15. Semicircle(D1, D2) → kd1
  16. Semicircle(D1, D3) → kd2
  17. Semicircle(D1, D4) → kd3
  18. Semicircle(A2, A1) → ka1
  19. Semicircle(A3, A1) → ka2
  20. Semicircle(B1, B2) → kb1
  21. Semicircle(B1, B3) → kb2
  22. Textfield(input11) → Eingabefeld11
  23. SpeechBubbleLeft(D, sb1x, sb1y) → Vieleck1
  24. SpeechBubbleLeft(E, sb2x, sb2y) → Vieleck2
  25. Point(Line[H, xAxis]) → I
  26. Point(Line[JBa, xAxis]) → JBb
  27. Point(Line[F, xAxis]) → G
  28. Point(Line[Na, xAxis]) → Nb
  29. Point(Line[Ja, xAxis]) → Jb
  30. Point(Line[Ma, xAxis]) → Mb
  31. Point(Line[J, xAxis]) → K

AI Drawing Prompt Reference

Draw a circle and a semicircle, with the diameter of the circle being three points, and the diameter of the semicircle being four points. Then, draw a coordinate system and a point on the x-axis. Finally, based on user input, check if the answer is correct and provide feedback.
The prompt above was compiled from the original drawing commands and is for reference only.