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Visual Addition of Fractions

Visual Addition of Fractions
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2016-11-07 06:54
SequenceGeometric Construction
This example visually demonstrates the process of adding fractions. Key mathematical concepts include fraction addition. The construction uses commands like Textfield, FractionText, LCM, Polygon, Segment, Sequence, etc. Suitable for high-grade elementary or junior high school students learning fraction addition.

GeoGebra Commands & Parameters

  1. Textfield(a) → InputBox1
  2. Textfield(b) → InputBox2
  3. Textfield(c) → InputBox3
  4. Textfield(d) → InputBox4
  5. FractionText(first + second) → sum
  6. LCM(b, d) → LCM
  7. FractionText(Sumrem) → textSR
  8. Polygon(A, B, C, D) → poly1, a_1, b_1, c_1, d_1
  9. Segment(F, F + (4, 0)) → f
  10. Segment(S, S + (4, 0)) → s
  11. Sequence(Polygon[F + (((j - 1) * 4 / LCM), 0), F + (((j - 1) * 4 / LCM), 0.5), F + ((j * 4 / LCM), 0.5), F + ((j * 4 / LCM), 0)], j, 1, ff) → ListFF
  12. Sequence(Polygon[S + (((j - 1) * 4 / LCM), 0), S + (((j - 1) * 4 / LCM), 0.5), S + ((j * 4 / LCM), 0.5), S + ((j * 4 / LCM), 0)], j, 1, ss) → ListSS
  13. Sequence(Polygon[F + (((j - 1) * 4 / b), 0), F + (((j - 1) * 4 / b), 0.5), F + ((j * 4 / b), 0.5), F + ((j * 4 / b), 0)], j, 1, b) → listFempty
  14. Sequence(Polygon[S + ((4 * (j - 1) / d), 0), S + ((4 * (j - 1) / d), 0.5), S + ((4 * j / d), 0.5), S + ((4 * j / d), 0)], j, 1, d) → listSempty
  15. Sequence(Polygon[F + ((4 * (j - 1) / b), 0), F + ((4 * (j - 1) / b), 0.5), F + ((4 * j / b), 0.5), F + ((4 * j / b), 0)], j, 1, a) → ListFadd
  16. Sequence(Polygon[S + ((4 * (j - 1) / d), 0), S + ((4 * (j - 1) / d), 0.5), S + ((4 * j / d), 0.5), S + ((4 * j / d), 0)], j, 1, c) → ListSadd

AI Drawing Prompt Reference

Draw a visual representation of adding two fractions. Input the numerators and denominators of the fractions, calculate the least common multiple, then draw equal segments for the denominators of both fractions, using different colors to represent the numerators. Next, convert the fractions to have a common denominator, draw new equal segments, and use colors to show the sum.
The prompt above was compiled from the original drawing commands and is for reference only.