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Adding Signed Rational Numbers

Adding Signed Rational Numbers
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2018-12-22 22:37
VectorCoordinate GeometryGeometric Construction
This example demonstrates the addition of signed rational numbers. Key mathematical concepts include signed rational numbers and their addition. Using GeoGebra commands such as OrthogonalLine (orthogonal line), Intersect (intersection), Polygon (polygon), Vector (vector), etc., it illustrates the geometric meaning of adding signed rational numbers. Suitable for middle school mathematics education.

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