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Positioning Fractions on the Number Line

Positioning Fractions on the Number Line
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2013-02-16 07:56
Coordinate GeometryGeometric Construction
In collections Fraction Book Fraction Book
This applet is designed as a game to help young students understand how to position fractions on the number line. Key math concepts include fractions. The construction uses commands like Random, Corner, Polygon, Midpoint, Sequence, and Vector in GeoGebra. Suitable for upper elementary or lower middle school students.

GeoGebra Commands & Parameters

  1. Random(1, 6) → aa
  2. Random(1, 9) → bb
  3. Corner(5) → dims
  4. Polygon(Corner[frac, 1], Corner[frac, 2], Corner[frac, 3], Corner[frac, 4]) → q1, f, g, h, i
  5. Midpoint(h) → MM
  6. Sequence((0, 0) + (i / bb, 0), i, 0, (bb * 10)) → parts, {(0, 0), (0.14285714285714285, 0), (0.2857142857142857, 0), (0.42857142857142855, 0), (0.5714285714285714, 0), (0.7142857142857143, 0), (0.8571428571428571, 0), (1, 0), (1.1428571428571428, 0), (1.2857142857142858, 0), (1.4285714285714286, 0), (1.5714285714285714, 0), (1.7142857142857142, 0), (1.8571428571428572, 0), (2, 0), (2.142857142857143, 0), (2.2857142857142856, 0), (2.4285714285714284, 0), (2.5714285714285716, 0), (2.7142857142857144, 0), (2.857142857142857, 0), (3, 0), (3.142857142857143, 0), (3.2857142857142856, 0), (3.4285714285714284, 0), (3.5714285714285716, 0), (3.7142857142857144, 0), (3.857142857142857, 0), (4, 0), (4.142857142857143, 0), (4.285714285714286, 0), (4.428571428571429, 0), (4.571428571428571, 0), (4.714285714285714, 0), (4.857142857142857, 0), (5, 0), (5.142857142857143, 0), (5.285714285714286, 0), (5.428571428571429, 0), (5.571428571428571, 0), (5.714285714285714, 0), (5.857142857142857, 0), (6, 0), (6.142857142857143, 0), (6.285714285714286, 0), (6.428571428571429, 0), (6.571428571428571, 0), (6.714285714285714, 0), (6.857142857142857, 0), (7, 0), (7.142857142857143, 0), (7.285714285714286, 0), (7.428571428571429, 0), (7.571428571428571, 0), (7.714285714285714, 0), (7.857142857142857, 0), (8, 0), (8.142857142857142, 0), (8.285714285714286, 0), (8.428571428571429, 0), (8.571428571428571, 0), (8.714285714285714, 0), (8.857142857142858, 0), (9, 0), (9.142857142857142, 0), (9.285714285714286, 0), (9.428571428571429, 0), (9.571428571428571, 0), (9.714285714285714, 0), (9.857142857142858, 0), (10, 0)}
  7. Polygon(A + (NumSq - 1, 0), A + (NumSq, 0), A + (NumSq, -1), A + (NumSq - 1, -1)) → last, j, k, l, m
  8. Sequence(Polygon[A + (i / bb, 0), A + ((i + 1) / bb, 0), A + ((i + 1) / bb, -1), A + (i / bb, -1)], i, 0, aa - 1) → l1, {0.14285714285714285, 0.14285714285714288}
  9. Sequence(Polygon[A, A + (i, 0), A + (i, -1), A + (0, -1)], i, 1, NumSq - 1) → wholes, {}
  10. Sequence(Segment[A + (i / bb, 0), A + (i / bb, -1)], i, 0, (bb * NumSq) - 1) → segments, {1, 1, 1, 1, 1, 1, 1}
  11. Sequence(Segment[A + (i / bb, -1), A + (i / bb, -1.5)], i, 0, aa) → connecting, {0.5, 0.5, 0.5}
  12. Vector(MM, (x(MM), y(MM) + 0.24)) → u
  13. Polygon(H, H + (0.35, 0), H + (0.35, 0.51), H + (0, 0.51)) → A2q2, n, p, q, r

AI Drawing Prompt Reference

Draw a number line from 0 to 10 with marks every 1/7. Mark a fraction, like 1/7, on the number line. Then draw an upward arrow with its tip 0.24 units away from the mark. Finally, draw a rectangle to represent the fraction 1/7.
The prompt above was compiled from the original drawing commands and is for reference only.