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Graphical Demonstration of Adding and Subtracting Integers

Graphical Demonstration of Adding and Subtracting Integers
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2020-06-05 13:09
VectorCoordinate GeometryOptimizationGeometric Construction
This example demonstrates the process of adding and subtracting integers graphically. It involves core mathematical concepts such as integer operations, vectors, geometric figures (like parallelograms), and area calculations. The construction utilizes GeoGebra commands/objects including Line, Vector, OrthogonalLine, Intersect, Segment, Mirror, Midpoint, and If. It is suitable for middle school students and above to understand the geometric meaning of integer operations, as well as for mathematical teaching demonstrations.

GeoGebra Commands & Parameters

  1. Line(C, xAxis) → d
  2. Vector(B, D) → u
  3. Vector(C, E) → v
  4. OrthogonalLine(E, xAxis) → e
  5. Intersect(e, xAxis) → F
  6. Segment(E, F) → f
  7. Segment(D, C) → g
  8. Segment(A, B) → h
  9. Mirror(E, C) → E'
  10. Vector(C, E') → w
  11. Midpoint(E, C) → G
  12. Midpoint(D, B) → H
  13. If(signo < 0, "-", "+") → TextoSigno
  14. If(a > 0, "+", " ") → TextoSignoa
  15. If(b > 0, "+", " ") → TextoSignob
  16. If(b2 ≥ 0, "+", " ") → TextoSignob2