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Addition Strikes

Addition Strikes
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2018-06-12 21:32
FunctionCoordinate GeometryProbability & Statistics
This example demonstrates the graphical phenomenon of generating addition operations through random numbers and judging the results, involving core mathematical concepts such as conditional probability, mode, linear regression, and interest calculation. It is constructed using commands and objects like If, Random, Unique, Intersection, Remove, Zip, Text, Sequence from GeoGebra, suitable for high school students learning probability statistics, data analysis, and mathematical modeling.

GeoGebra Commands & Parameters

  1. If(limit ≟ 0, Random[10, 99], Random[100, 999]) → sum
  2. Random(0, sum) → addend1
  3. If(limit ≟ 0, {Div[addend1, 10], Mod[addend1, 10]}, {Div[addend1, 100], Div[addend1 - (100 * Div[addend1, 100]), 10], Mod[addend1, 10]}) → addend1digits
  4. If(limit ≟ 0, {Div[addend2, 10], Mod[addend2, 10]}, {Div[addend2, 100], Div[addend2 - (100 * Div[addend2, 100]), 10], Mod[addend2, 10]}) → addend2digits
  5. If(limit ≟ 0, {Div[sum, 10], Mod[sum, 10]}, {Div[sum, 100], Div[sum - (100 * Div[sum, 100]), 10], Mod[sum, 10]}) → sumDigits
  6. Unique(Join[{addend1digits, addend2digits, sumDigits}]) → allDigits
  7. Intersection(clicked, allDigits) → right
  8. Remove(clicked, right) → wrong
  9. Zip(Text[AAA, BBB], AAA, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, BBB, Sequence[Point[{i + 0.15, -0.05}], i, 0, 10, 10 / 9]) → L_1
  10. Zip(Element[L_1, IndexOf[BBB, helper]], BBB, right) → green
  11. Zip(Element[L_1, IndexOf[BBB, helper]], BBB, wrong) → red
  12. Text(addend1digits(1), (0, -2) + textMover) → digit1
  13. Text(addend1digits(2), (1, -2) + textMover) → digit2
  14. Text(addend1digits(3), (2, -2) + textMover) → digit3
  15. Text(addend2digits(1), (4, -2) + textMover) → digit4
  16. Text(addend2digits(2), (5, -2) + textMover) → digit5
  17. Text(addend2digits(3), (6, -2) + textMover) → digit6
  18. Text(sumDigits(1), (8, -2) + textMover) → digit7
  19. Text(sumDigits(2), (9, -2) + textMover) → digit8
  20. Text(sumDigits(3), (10, -2) + textMover) → digit9
  21. Sequence(Polygon[(i, -2), (i + 0.9, -2), 4], i, 0, limit + 1) → polyBackers1
  22. Sequence(Polygon[(i, -2), (i + 0.9, -2), 4], i, 4, limit + 5) → polyBackers2
  23. Sequence(Polygon[(i, -2), (i + 0.9, -2), 4], i, 8, limit + 9) → polyBackers3
  24. Text("+", (2.55 + (0.5 * limit), -2) + textMover) → plusSign
  25. Text("=", (6.55 + (0.5 * limit), -2) + textMover) → equalsSign

AI Drawing Prompt Reference

Create a mathematical illustration showing the result and verification of random number addition. Include three randomly generated numbers as addends and their sum, broken down into individual digits. Highlight the digits the user clicks on in different colors to indicate correctness, and display each digit with text. Decorate the background with small squares and label the plus and equals signs. Draw the numbers and symbols first, then highlight the correct digits based on user clicks, and finally add the background decoration.
The prompt above was compiled from the original drawing commands and is for reference only.