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Adding Signed Rational Numbers by Steve Cheung

Adding Signed Rational Numbers by Steve Cheung
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2014-01-05 14:38
PolygonVectorCoordinate GeometryGeometric Construction
This example demonstrates the addition of signed rational numbers with geometric representations. Key math concepts include rational numbers, vectors, polygons, and coordinate geometry. Construction highlights involve commands like OrthogonalLine, Intersect, Polygon, Vector, and If, along with objects such as vectors and polygons. Suitable for middle school and above, helping learners visualize and compute rational number addition.

GeoGebra Commands & Parameters

  1. OrthogonalLine(A, xAxis) → f
  2. OrthogonalLine(B, xAxis) → g
  3. Intersect(a_1, d) → C
  4. Intersect(b_1, d) → D
  5. Intersect(b_1, f) → E
  6. Intersect(a_1, f) → F
  7. Intersect(e, f) → G
  8. Intersect(e, g) → H
  9. Intersect(b_1, g) → I
  10. Intersect(a_1, g) → J
  11. Polygon(C, O, B, J) → poly1, c_3, o, b_2, j
  12. Polygon(D, C, F, E) → poly2, d_1, c_4, f_1, e_1
  13. Polygon(G, E, I, H) → poly3, g_1, e_2, i, h
  14. Vector(D, E) → u
  15. Vector(G, H) → v
  16. Vector(O, B) → w
  17. If(a * b ≥ 0, 20, 10) → speed

AI Drawing Prompt Reference

Draw a coordinate system with x-axis and y-axis. Take points A and B on the x-axis and draw perpendicular lines f and g through A and B respectively. Find intersection points C, D, E, F, G, H, I, and J on these lines. Use these points to draw three polygons: one with O, B, and J as vertices, another with C, F, and E as vertices, and the last one with E, I, and H as vertices. Draw vectors u from D to E, v from G to H, and w from O to B. Adjust the length of vector w based on the product of a and b; if the product is greater than or equal to 0, set the length to 20, otherwise set it to 10.
The prompt above was compiled from the original drawing commands and is for reference only.