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Adding Fractions with Area Model

Adding Fractions with Area Model
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2020-04-20 12:00
PolygonGeometric Construction
This example uses the area model to demonstrate how to add fractions. Key mathematical concepts include fractions and geometry. By examining the commands used, such as Polygon, Textfield, and Sequence, one can understand how to use GeoGebra for geometric construction. Suitable for high-grade elementary or middle school students learning fraction addition.

GeoGebra Commands & Parameters

  1. Polygon(A, A + (squarelength, 0), 4) → Whole1, f, g, h, i, C, D
  2. Polygon(B, B + (squarelength, 0), 4) → Whole2, j, k, l, m, E, F
  3. Textfield(inputnum1) → a1InputBoxNum1
  4. Textfield(inputdenom1) → a2InputBoxDenom1
  5. Textfield(inputnum2) → a3InputBoxNum2
  6. Textfield(inputdenom2) → a4InputBoxDenom2
  7. Sequence(Segment[A + ((i * Denom1Unit), 0), A + ((i * Denom1Unit), squarelength)], i, 1, inputdenom1 - 1) → Lines1Vertical
  8. Sequence(Segment[B + (0, (i * Denom2Unit)), B + (squarelength, (i * Denom2Unit))], i, 1, inputdenom2 - 1) → Lines2Horizontal
  9. Polygon(A, A + ((Denom1Unit * inputnum1), 0), A + ((Denom1Unit * inputnum1), squarelength), A + (0, squarelength)) → Fraction1Polygon, a_1, n, p, q
  10. Polygon(B, B + (squarelength, 0), B + (squarelength, (Denom2Unit * inputnum2)), B + (0, (Denom2Unit * inputnum2))) → Fraction2Polygon, b, r, s, t
  11. Translate(Lines1Vertical, Vector[(Vector[A, B] * mover1)]) → Lines1Moving
  12. Translate(Lines2Horizontal, Vector[(Vector[B, A] * mover2)]) → Lines2Moving
  13. GCD(numsum, newdenom) → reduceby

AI Drawing Prompt Reference

Draw two adjacent squares of equal size, each representing a whole. Inside the first square, divide it into vertical strips according to the first denominator, and fill the left portion corresponding to the first numerator with color. Inside the second square, divide it into horizontal strips according to the second denominator, and fill the bottom portion corresponding to the second numerator with color. Then, translate the vertical grid from the first square to overlay on the second square, and translate the horizontal grid from the second square to overlay on the first square, showing how the areas combine for fraction addition. The final figure visually demonstrates adding two fractions using area models.
The prompt above was compiled from the original drawing commands and is for reference only.