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Fraction Addition Demo by Tom Harding

Fraction Addition Demo by Tom Harding
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2019-02-11 23:09
FunctionIntegralInequalityGeometric ConstructionSlider Animation
This example demonstrates how to visualize fraction addition in GeoGebra through graphical methods. It involves core mathematical concepts such as common denominator finding, numerator and denominator operations, and geometric representations. Key GeoGebra commands and objects used include Circle, Sequence, Sector, LCM, Numerator, and Textfield for constructing the demo. Suitable for middle school students and above for learning and teaching fraction operations.

GeoGebra Commands & Parameters

  1. Circle((0, 0), 1) → c
  2. Circle((4, 0), 1) → d
  3. Sequence(Segment[LCenter, LCenter + (cos(((i * 2) * π / LDenom)), sin(((2 * π) * i / LDenom)))], i, 0, LDenom) → LeftDividers
  4. Sequence(Segment[RCenter, RCenter + (cos(((i * 2) * π / RDenom)), sin(((2 * π) * i / RDenom)))], i, 0, RDenom) → RightDividers
  5. Sequence(Segment[LCenter, LCenter + (cos(((i * 2) * π / ((LSections * LDenom)))), sin(((2 * π) * i / ((LSections * LDenom)))))], i, 0, (LDenom * LSections)) → list1
  6. Sector(c, (0, 0), (cos(((2 * π) * LNumerator / LDenom)), sin(((2 * π) * LNumerator / LDenom)))) → f
  7. Sector(d, RCenter, RCenter + (cos(((2 * π) * RNumerator / RDenom)), sin(((2 * π) * RNumerator / RDenom)))) → e
  8. Sequence(Segment[RCenter, RCenter + (cos(((i * 2) * π / ((RSections * RDenom)))), sin(((2 * π) * i / ((RSections * RDenom)))))], i, 0, (RDenom * RSections)) → list2
  9. LCM(LDenom, RDenom) → Denom
  10. Numerator(1.2) → a
  11. Textfield(UserD) → InputBox1
  12. Text(RandomElement[compliments]) → PositiveFeedback
  13. RandomElement(exhortations) → NegativeFeedback