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Division Algorithm

Division Algorithm
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2015-01-12 14:32
SequenceGeometric Construction
This example demonstrates the process of the division algorithm. It involves the concepts of division and remainder. Using GeoGebra commands such as Point, Segment, Polygon, etc., the steps of the division algorithm can be dynamically displayed. Suitable for students at junior high school level and above to learn the division algorithm.

GeoGebra Commands & Parameters

  1. Point(Circle[A, abs((a * q))]) → B
  2. Segment(A, B) → c
  3. Polygon(A + (abs(c), 0), A + (abs(c), 6), A + (0, 6), A) → poly1, d, e, f, n
  4. Polygon(C + (abs(r), 0), C + (abs(r), 6), C + (0, 6), C) → poly2, g, h, i, p
  5. Polygon(D + (abs(b), 0), D + (abs(b), 6), D + (0, 6), D) → poly3, j, k, l, m
  6. Text(("a=" * a)) → text3
  7. Text(("b=" * b)) → text4
  8. Text(("q=" * q)) → text5
  9. Text(("r=" * r)) → text6
  10. Text("b", D + (abs(b) / 2, 2.4)) → text1
  11. Sequence(Text["a", A + (abs(a) / 2 + (abs(a) * p), 2.4)], p, 0, q - 1) → list2
  12. Sequence(Segment[A + ((i * abs(a)), 0), A + ((i * abs(a)), 6)], i, 1, q) → list1
  13. Text("r", A + ((q * abs(a)) + abs(r) / 2, 2.4)) → text2
  14. Midpoint(Midpoint[Corner[4], Midpoint[Corner[4], Midpoint[Corner[4], Corner[1]]]], Midpoint[Corner[4], Midpoint[Corner[4], Corner[1]]]) → O
  15. Midpoint(Midpoint[Corner[3], Midpoint[Corner[3], Midpoint[Corner[3], Corner[2]]]], Midpoint[Corner[3], Midpoint[Corner[3], Corner[2]]]) → P