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Addition of Fractions by suresan c

Addition of Fractions by suresan c
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2015-12-31 13:20
SequenceGeometric Construction
This example demonstrates the process of adding fractions. It involves the core mathematical concept of basic fraction operations. Using GeoGebra commands such as Point, Segment, Sequence, LCM, Vector, GCD, etc., a geometric model of fraction addition is constructed. Suitable for high-grade elementary or junior high school students to learn fraction addition.

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(unreducednumerator, 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 geometric model showing the process of adding fractions, including two fractions represented by points and line segments for numerators and denominators, and vectors for the values of the fractions. Use different-sized polygons to represent the sum of the fractions. Start by drawing the geometric representations of the two fractions, then find their least common multiple to convert the fractions to a common denominator, and finally add the two fractions and represent the sum using polygons.
The prompt above was compiled from the original drawing commands and is for reference only.