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Subtracting Fractions with Number Lines

Subtracting Fractions with Number Lines
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2012-10-16 18:06
VectorSequenceCoordinate GeometryGeometric ConstructionSlider Animation
In collections Fraction Skills
This GeoGebra example visualizes fraction subtraction using a number line. Learners can adjust two fractions via sliders, see the conversion to a common denominator, and perform the subtraction step by step. The construction employs sliders, sequences, LCM, GCD, vectors, and polygons to create an interactive learning experience. Ideal for elementary and middle school mathematics instruction.

GeoGebra Commands & Parameters

  1. Point(a) → A
  2. Point(a) → B
  3. Segment(B, (x(B) + b, y(B))) → c
  4. Segment(A, (x(A) + b, y(A))) → d
  5. Sequence((x(B) + b / denom1 * i, y(B)), i, 1, denom1) → frac1dots
  6. Sequence((x(A) + b / denom2 * i, y(A)), i, 1, denom2) → frac2dots
  7. LCM(denom1, denom2) → commondenom
  8. Sequence((x(B) + b / commondenom * i, y(B)), i, 1, commondenom) → frac1commondots
  9. Sequence((x(A) + b / commondenom * i, y(A)), i, 1, commondenom) → frac2commondots
  10. Vector(B, (x(B) + num1 * b / denom1, y(B))) → frac1arrow
  11. Vector(A, (x(A) + num2 * b / denom2, y(A))) → frac2arrow
  12. GCD(rawdifference, commondenom) → reduceby
  13. Polygon(H, (x(H), y(H) - height), (x(H) + width, y(H) - height), (x(H) + width, y(H))) → poly1, h_1, j, k, l
  14. Polygon(I, (x(I), y(I) - height), (x(I) + width, y(I) - height), (x(I) + width, y(I))) → poly2, i_1, m, n, p
  15. Polygon(J, (x(J), y(J) - height), (x(J) + bigwidth, y(J) - height), (x(J) + bigwidth, y(J))) → poly3, j_1, q, r, s

AI Drawing Prompt Reference

Draw a horizontal number line with two adjustable fractions marked by sliders. Show the original fractions as points or short line segments, then convert them to a common denominator by displaying additional tick marks and points. Use arrow vectors to indicate the magnitude of each fraction, and illustrate the subtraction process with colored bars or polygons that represent the minuend and subtrahend. Include step‑by‑step visual cues that highlight the difference, and allow the common denominator and scaling to be changed interactively to see how the fractions and their result adjust.
The prompt above was compiled from the original drawing commands and is for reference only.