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Fraction Board: Quartiles

Fraction Board: Quartiles
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2019-12-10 16:25
FunctionSequenceProbability & StatisticsInequality
This interactive fraction board demonstrates the concept of quartiles by generating a set of random fractions, sorting them in ascending order, and dividing them into four intervals. It helps students visually grasp data distribution and positional measures. Core mathematical concepts include fractions, percentiles, quartiles, inequalities, and data ordering. The construction uses GeoGebra commands: Random to generate 20 random fraction objects (d1 to d20), Shuffle to randomize their order, and If/Sequence for conditional logic and sequence creation, resulting in a visual board. Suitable for middle or high school as a lesson starter for statistics and probability, or for reviewing fraction comparison and inequalities.

GeoGebra Commands & Parameters

  1. Random(10, 100) → d1
  2. Random(10, 100) → d2
  3. Random(10, 100) → d3
  4. Random(10, 100) → d4
  5. Random(10, 100) → d5
  6. Random(10, 100) → d6
  7. Random(10, 100) → d7
  8. Random(10, 100) → d8
  9. Random(10, 100) → d9
  10. Random(10, 100) → d10
  11. Random(10, 100) → d11
  12. Random(10, 100) → d12
  13. Random(10, 100) → d13
  14. Random(10, 100) → d14
  15. Random(10, 100) → d15
  16. Random(10, 100) → d16
  17. Random(10, 100) → d17
  18. Random(10, 100) → d18
  19. Random(10, 100) → d19
  20. Random(10, 100) → d20
  21. Random((0.76 * d3), (0.99 * d3)) → n3
  22. Random((0.76 * d1), (0.99 * d1)) → n1
  23. Random((0.76 * d2), (0.99 * d2)) → n2
  24. Random((0.76 * d4), (0.99 * d4)) → n4
  25. Random((0.76 * d5), (0.99 * d5)) → n5
  26. Random((0.51 * d6), (0.74 * d6)) → n6
  27. Random((0.51 * d7), (0.74 * d7)) → n7
  28. Random((0.51 * d8), (0.74 * d8)) → n8
  29. Random((0.51 * d9), (0.74 * d9)) → n9
  30. Random((0.51 * d10), (0.74 * d10)) → n10
  31. Random((0.26 * d11), (0.49 * d11)) → n11
  32. Random((0.26 * d12), (0.49 * d12)) → n12
  33. Random((0.26 * d13), (0.49 * d13)) → n13
  34. Random((0.26 * d14), (0.49 * d14)) → n14
  35. Random((0.26 * d15), (0.49 * d15)) → n15
  36. Random((0.05 * d11), (0.24 * d11)) → n16
  37. Random((0.05 * d17), (0.24 * d17)) → n17
  38. Random((0.05 * d18), (0.24 * d18)) → n18
  39. Random((0.05 * d19), (0.24 * d19)) → n19
  40. Random((0.05 * d20), (0.24 * d20)) → n20
  41. Shuffle(listpoints) → lp, {(4.302430303644675, 4.775637903536341), (0.33259906512068393, 2.769193915301872), (2.321820358177177, 1.7702775949791318), (0.3239877175316948, 1.7616662473901428), (1.3401267330324143, 4.767026555947352), (1.331515385443425, 2.777805262890861), (1.331515385443425, 1.778888942568121), (1.3401267330324143, 3.759498888035623), (3.3379593736778963, 1.7616662473901428), (4.3196529988226535, 1.7616662473901428), (3.3293480260889075, 3.776721583213601), (3.3379593736778963, 2.769193915301872), (2.3304317057661663, 4.767026555947352), (3.3379593736778963, 4.758415208358363), (2.3304317057661663, 3.768110235624612), (0.3412104127096731, 3.768110235624612), (0.3412104127096731, 4.758415208358363), (4.311041651233664, 3.768110235624612), (2.3132090105881877, 2.777805262890861), (4.3196529988226535, 2.777805262890861)}
  42. Random(1, 4) → q
  43. If(q ≟ 1, textq1, If[q ≟ 2, textq2, If[q ≟ 3, textq3, textq4]]) → textq
  44. Sequence(Segment[(n, 1), (n, 5)], n, 0, 5) → l1
  45. Sequence(Segment[(0, m), (5, m)], m, 1, 5) → l2

AI Drawing Prompt Reference

Draw a 5x5 grid board with 20 randomly placed points, each representing a fraction value. These fractions are divided into four quartile intervals, marked with distinct colors or shapes to illustrate the concept of quartiles. A randomly selected question text appears near the board, prompting students to determine which quartile interval a given fraction belongs to. The layout is clear for observing data distribution and positional relationships.
The prompt above was compiled from the original drawing commands and is for reference only.