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Fraction Wall

Fraction Wall
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2020-05-24 08:27
Sequence
This example demonstrates the concept of a fraction wall, involving basic fraction concepts. Using GeoGebra commands such as Point, OrthogonalLine, Intersect, and Sequence, a fraction wall can be constructed to illustrate fraction addition and subtraction. Suitable for high-grade elementary and junior high school students.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Point(yAxis) → B
  3. OrthogonalLine(A, yAxis) → a
  4. OrthogonalLine(B, yAxis) → b
  5. Point(xAxis) → C
  6. OrthogonalLine(C, xAxis) → c
  7. Intersect(a, c) → D
  8. Intersect(b, c) → E
  9. Sequence((k / m, 1), k, 0, m) → m0
  10. Sequence((k / m, 2), k, 0, m) → m1
  11. Sequence((k / n, 1), k, 0, n) → n0
  12. Sequence((k / n, 0), k, 0, n) → n1
  13. Sequence(Polygon[{Element[m0, k], Element[m0, k + 1], Element[m1, k + 1], Element[m1, k]}], k, 1, m) → mq
  14. Sequence(Polygon[{Element[n0, k], Element[n0, k + 1], Element[n1, k + 1], Element[n1, k]}], k, 1, n) → nq

AI Drawing Prompt Reference

Draw a fraction wall by creating multiple rectangles on a horizontal line to illustrate fractions. Start by placing two points on the vertical axis and draw horizontal lines from these points. Then, place a point on the horizontal axis and draw a vertical line from this point, intersecting the two horizontal lines to get two intersection points. Use sequences to generate multiple fraction positions and draw rectangles sequentially, each representing a fraction, to combine them and show the addition and subtraction of fractions.
The prompt above was compiled from the original drawing commands and is for reference only.