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Compare Fractions with Number Line

Compare Fractions with Number Line
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2016-05-27 01:57
FunctionCoordinate GeometryInequalityGeometric Construction
This example demonstrates how to compare two fractions using a number line by plotting them. Key math concepts include number line, fraction comparison, greater than or less than signs. It utilizes GeoGebra commands like Segment, Sequence, Random, GCD, Distance, RandomElement, Circle, Element, and Text. Suitable for upper elementary or middle school students learning fraction comparison and number line applications.

GeoGebra Commands & Parameters

  1. Segment((0, 0), EndPointRight) → NumberLineLength
  2. Sequence(Text[i, ((NumberLineLength / (upperbound - lowerbound) * i) - 0.15 - (NumberLineLength / (upperbound - lowerbound) * lowerbound), -1), true, true], i, 0, upperbound, IncrementLabel) → LabelsPositive
  3. Sequence(Text[i, ((NumberLineLength / (upperbound - lowerbound) * i) - 0.35 - (NumberLineLength / (upperbound - lowerbound) * lowerbound), -1), true, true], i, (-IncrementLabel), lowerbound, (-IncrementLabel)) → LabelsNegative
  4. Sequence(((NumberLineLength / (((upperbound - lowerbound) * split)) * i), 0), i, 0, ((upperbound - lowerbound) * split)) → InBetween
  5. Sequence(Text[i, ((NumberLineLength / (upperbound - lowerbound) * i) - 0.15 - (NumberLineLength / (upperbound - lowerbound) * lowerbound), -1), true, true], i, 0, upperbound, 1) → LabelsBetween
  6. Random(2, upperbound) → rd
  7. Random(1, upperbound) → rn
  8. Sequence(((NumberLineLength / (upperbound - lowerbound) * i), 0), i, 0, upperbound - lowerbound, IncrementLabel) → Range
  9. GCD(rd, rn) → gcd
  10. GCD(rd, rn) → g
  11. Random(2, upperbound) → rd_1
  12. Random(1, upperbound) → rn_1
  13. GCD(rd_1, rn_1) → gcd_1
  14. GCD(rd_1, rn_1) → g_1
  15. Random(2, upperbound) → rd_2
  16. Random(1, upperbound) → rn_2
  17. GCD(rd_2, rn_2) → gcd_2
  18. GCD(rd_2, rn_2) → g_2
  19. Random(2, upperbound) → rd_3
  20. Random(1, upperbound) → rn_3
  21. GCD(rd_3, rn_3) → gcd_3
  22. GCD(rd_3, rn_3) → g_3
  23. Distance(A, B) → distancecheck
  24. RandomElement(PickTwo) → RandomPick1
  25. RandomElement(PickTwo) → RandomPick2
  26. Circle(place, 1) → c
  27. Segment(comparepoint1, place) → segment1
  28. Segment(comparepoint2, place) → segment2
  29. Segment(comparepoint3, place) → segment3
  30. Circle(comparepoint1, 0.7) → hidepoint1
  31. Circle(comparepoint3, 0.7) → hidepoint3
  32. Circle(comparepoint2, 0.7) → hidepoint2
  33. Circle(place, 1) → circleoutline
  34. Element(PickTwoNumeric, IndexOf[RandomPick1, PickTwo]) → RandomPickNumeric1
  35. Element(PickTwoNumeric, IndexOf[RandomPick2, PickTwo]) → RandomPickNumeric2
  36. Text("Drag the correct sign into the circle.") → text1
  37. Text("Use < or > to compare the two fractions. The number line is provided to help you.") → text2