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Division Demonstration

Division Demonstration
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2019-01-04 09:25
Probability & StatisticsGeometric ConstructionGraphing
This example demonstrates the geometric representation of division, visually showing the relationship between dividend, divisor, quotient, and remainder. Core math concepts include division, frequency distribution, Poisson distribution, median value, and boxplot. It uses GeoGebra commands like Textfield, If, Sequence, First, Last, Min, Max, Segment, Text, and objects such as n, divisor, dividendList, remainderList. Suitable for high school and above learners to understand division operations and data analysis.

GeoGebra Commands & Parameters

  1. Textfield(nText) → InputBox1
  2. If(n / divisor ≟ floor(n / divisor), false, true) → hasR
  3. Sequence(((-columns)) / 2 + i - 1 / 2, i, 1, columns) → xValues
  4. Sequence(((-divisor) - 1) / 2 + i, i, 1, divisor) → yValues
  5. First(Flatten[Sequence[Sequence[Point[{xValues(i), yValues(j)}], j, 1, Length[yValues]], i, 1, columns]], n) → list2
  6. If(hasR, First[list2, (divisor * Div[n, divisor])], list2) → dividendList
  7. Last(list2, n - (divisor * Div[n, divisor])) → remainderList
  8. Min(xValues) → left
  9. Max(xValues) → right
  10. Min(yValues) → bottom
  11. Max(yValues) → top
  12. Sequence(Circle[Element[dividendList, i], 0.4], i, 1, Length[dividendList]) → dividendCircles
  13. Sequence(Circle[Element[remainderList, i], 0.4], i, 1, Length[remainderList]) → remainderCircles
  14. Segment((left, bottom) + (-1 / 2, -1 / 2), (right, bottom) + (1 / 2, -1 / 2)) → i
  15. Segment((left, top) + (-1 / 2, 1 / 2), (right, top) + (1 / 2, 1 / 2)) → j
  16. Sequence(Segment[(left + i, bottom) + (-1 / 2, -1 / 2), (left + i, top) + (-1 / 2, 1 / 2)], i, 0, Length[xValues]) → dividendBoxes
  17. Text(If[hasR, " + " + (Mod[n, divisor]), ""]) → text4
  18. Sequence(Circle[Element[moving, i], 0.4], i, 1, Length[moving]) → movingCircles