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Mixed and Improper Fractions Converter

Mixed and Improper Fractions Converter
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2013-07-05 02:41
Geometric Construction
This example demonstrates the conversion between mixed numbers and improper fractions through interactive dynamic geometry. It involves core math concepts like fraction properties, operations, and visual learning. Constructed using GeoGebra commands Sequence and CircleSector, with objects like r1-r5, b1-b5, R1-R5, etc., it features slider animations for an engaging visual representation. Ideal for middle school and above students to grasp fraction conversion principles and enhance mathematical visualization skills.

GeoGebra Commands & Parameters

  1. Sequence((cos(2 * π * i / denom1), sin(2 * π * i / denom1) + 2), i, 1, denom1) → rpts1
  2. Sequence((cos(2 * π * i / denom1) + 3, sin(2 * π * i / denom1) + 2), i, 1, denom1) → rpts2
  3. Sequence((cos(2 * π * i / denom1) + 6, sin(2 * π * i / denom1) + 2), i, 1, denom1) → rpts3
  4. Sequence((cos(2 * π * i / denom1) + 9, sin(2 * π * i / denom1) + 2), i, 1, denom1) → rpts4
  5. Sequence((cos(2 * π * i / denom1) + 12, sin(2 * π * i / denom1) + 2), i, 1, denom1) → rpts5
  6. Sequence((cos(2 * π * i / denom2), sin(2 * π * i / denom2) - 2), i, 1, denom2) → bpts1
  7. Sequence((cos(2 * π * i / denom2) + 3, sin(2 * π * i / denom2) - 2), i, 1, denom2) → bpts2
  8. Sequence((cos(2 * π * i / denom2) + 6, sin(2 * π * i / denom2) - 2), i, 1, denom2) → bpts3
  9. Sequence((cos(2 * π * i / denom2) + 9, sin(2 * π * i / denom2) - 2), i, 1, denom2) → bpts4
  10. Sequence((cos(2 * π * i / denom2) + 12, sin(2 * π * i / denom2) - 2), i, 1, denom2) → bpts5
  11. Sequence(Segment[Element[bpts1, i], B1], i, 1, denom2) → bseg1
  12. Sequence(Segment[Element[bpts2, i], B2], i, 1, denom2) → bseg2
  13. Sequence(Segment[Element[bpts3, i], B3], i, 1, denom2) → bseg3
  14. Sequence(Segment[Element[bpts4, i], B4], i, 1, denom2) → bseg4
  15. Sequence(Segment[Element[bpts5, i], B5], i, 1, denom2) → bseg5
  16. Sequence(Segment[Element[rpts1, i], R1], i, 1, denom1) → rseg1
  17. Sequence(Segment[Element[rpts2, i], R2], i, 1, denom1) → rseg2
  18. Sequence(Segment[Element[rpts3, i], R3], i, 1, denom1) → rseg3
  19. Sequence(Segment[Element[rpts4, i], R4], i, 1, denom1) → rseg4
  20. Sequence(Segment[Element[rpts5, i], R5], i, 1, denom1) → rseg5
  21. CircleSector(B1, Element[bpts1, 1], Element[bpts1, num2 - floor(num2 / denom2) + 1]) → bsec1
  22. CircleSector(B2, Element[bpts2, 1], Element[bpts2, num2 - denom2 * floor(num2 / denom2) + 1]) → bsec2
  23. CircleSector(B3, Element[bpts3, 1], Element[bpts3, num2 - denom2 * floor(num2 / denom2) + 1]) → bsec3
  24. CircleSector(B4, Element[bpts4, 1], Element[bpts4, num2 - denom2 * floor(num2 / denom2) + 1]) → bsec4
  25. CircleSector(B5, Element[bpts5, 1], Element[bpts5, num2 - denom2 * floor(num2 / denom2) + 1]) → bsec5
  26. CircleSector(R1, Element[rpts1, 1], Element[rpts1, num1 - denom1 * floor(num1 / denom1) + 1]) → rsec1
  27. CircleSector(R2, Element[rpts2, 1], Element[rpts2, num1 - denom1 * floor(num1 / denom1) + 1]) → rsec2
  28. CircleSector(R3, Element[rpts3, 1], Element[rpts3, num1 - denom1 * floor(num1 / denom1) + 1]) → rsec3
  29. CircleSector(R4, Element[rpts4, 1], Element[rpts4, num1 - denom1 * floor(num1 / denom1) + 1]) → rsec4
  30. CircleSector(R5, Element[rpts5, 1], Element[rpts5, num1 - denom1 * floor(num1 / denom1) + 1]) → rsec5