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Adjustable Number Line with Random Point

Adjustable Number Line with Random Point
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2015-03-13 00:01
Coordinate GeometrySlider Animation
In collections Elementary School Applets ICME 13, TSG 46: Growth and Modelling with KUMULATOR
This example features an adjustable number line with a randomly generated point. By adjusting the range of the number line, you can observe points in different numerical intervals. The example involves number lines, random number generation, and zooming features. It uses commands such as If, Sequence, Element, Segment, Random, Point, and Text. Suitable for middle school and above students to learn about number lines and random number generation.

GeoGebra Commands & Parameters

  1. If(limitslider ≥ 4, Shuffle[{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}], {0, 0, 0, 0, 0, 0, 0, 0, 0, 0}) → tenthousands
  2. If(limitslider ≥ 5, Shuffle[{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}], {0, 0, 0, 0, 0, 0, 0, 0, 0, 0}) → hundredthousands
  3. If(limitslider ≥ 3, Shuffle[{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}], {0, 0, 0, 0, 0, 0, 0, 0, 0, 0}) → thousands
  4. Sequence(Random[0, 100], i, 1, 10) → tens
  5. Element({100, 1000, 10000, 100000, 1000000}, limitslider) → limit
  6. If(limitslider ≥ 2, Shuffle[{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}], {0, 0, 0, 0, 0, 0, 0, 0, 0, 0}) → hundreds
  7. Element(tenthousands, gradualtimer) → tenthousand
  8. Element(hundredthousands, gradualtimer) → hundredthousand
  9. Element(thousands, gradualtimer) → thousand
  10. Element(tens, gradualtimer) → ten
  11. Element(hundreds, gradualtimer) → hundred
  12. Segment((0, 0), (limit, 0)) → line
  13. If(limitslider ≟ 1, "100", If[limitslider ≟ 2, "1,000", If[limitslider ≟ 3, "10,000", If[limitslider ≟ 4, "100,000", "1,000,000"]]]) → fancylimit
  14. Random(50, 100) → timerupperlimit
  15. Sequence(Point[{(limit / 10 * i), 0}], i, 0, 10) → firststep
  16. Sequence(Text[(limit * i / 10), (x(Element[firststep, i + 1]), 1 / 3)], i, 1, 9) → firstnumbers
  17. Sequence(Point[{(floor(n / (limit / 10)) * limit / 10) + (i * limit / 100), 0}], i, 1, 9) → secondstep
  18. Sequence(Element[firststep, i] - ((x(Corner[Element[firstnumbers, i], 2]) - x(Corner[Element[firstnumbers, i], 1])) / 2, (y(Element[firststep, i]) - y(Corner[Element[firstnumbers, i], 1])) / 2), i, 1, 10) → betterfirstpoints
  19. Sequence(Text[x(Element[secondstep, i]), (x(Element[secondstep, i]), 1 / 3)], i, 1, 9) → secondnumbers
  20. Sequence(Point[{(floor(n / (limit / 100)) * limit / 100) + (i * limit / 1000), 0}], i, 1, 9) → thirdstep
  21. Sequence(Point[{(floor(n / (limit / 1000)) * limit / 1000) + (i * limit / 10000), 0}], i, 1, 9) → fourthstep
  22. Sequence(Point[{(floor(n / (limit / 10000)) * limit / 10000) + (i * limit / 100000), 0}], i, 1, 9) → fifthstep
  23. Sequence(Point[{(floor(n / (limit / 100000)) * limit / 100000) + (i * limit / 1000000), 0}], i, 1, 9) → sixthstep
  24. Sequence(Text[x(Element[thirdstep, i]), (x(Element[thirdstep, i]), 1 / 3)], i, 1, 9) → thirdnumbers
  25. Sequence(Text[x(Element[fourthstep, i]), (x(Element[fourthstep, i]), 1 / 3)], i, 1, 9) → fourthnumbers
  26. Sequence(Text[x(Element[fifthstep, i]), (x(Element[fifthstep, i]), 1 / 3)], i, 1, 9) → fifthnumbers
  27. Sequence(Text[x(Element[sixthstep, i]), (x(Element[sixthstep, i]), 1 / 3)], i, 1, 9) → sixthnumbers
  28. Element(xmin, step) → currentleft
  29. Element(xmax, step) → currentright
  30. If(step < (3 * limitslider) + 4, "?", text2) → text5
  31. Point({(currentleft + currentright) / 2, -2}) → anchorpoint
  32. Text(text5, A - ((Element[xmax, step] - Element[xmin, step]) / 90, 2)) → stickytext
  33. Text(text2, A - ((Element[xmax, step] - Element[xmin, step]) / 90, 2)) → text4

AI Drawing Prompt Reference

Draw an adjustable number line with a randomly generated point. The range of the number line can be adjusted from 100 to 1,000,000 using a slider. Mark the number line with scales and corresponding numbers for tens, hundreds, thousands, ten thousands, hundred thousands, and millions. The randomly generated point will move accordingly as the number line range changes.
The prompt above was compiled from the original drawing commands and is for reference only.