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Integer Addition on Number Line

Integer Addition on Number Line
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2020-10-01 01:16
VectorCoordinate GeometryGeometric Construction
This example demonstrates integer addition on a number line. Key mathematical concepts include integer addition and number line representation. Using commands like Segment, Vector, and Mirror, it illustrates the geometric meaning of addition. Suitable for upper elementary and middle school students.

GeoGebra Commands & Parameters

  1. Segment(A, (a + b, -4)) → f
  2. Segment((a, -2), (a, -4)) → g
  3. Segment((0, 0), (0, -2)) → h
  4. Vector((0, -2), (a, -2)) → u
  5. Vector((a, -4), (b + a, -4)) → v
  6. If(k < 1, ((k * a), 0), (a, 0) + ((k - 1) * (b, 0))) → D
  7. Segment(E, F) → i
  8. Segment(G, H) → j
  9. Line(J, xAxis) → l
  10. Mirror(D, l) → M

AI Drawing Prompt Reference

Show the geometric meaning of integer addition on a number line. Draw a reference coordinate system with the x-axis, then construct two related segments: one from (a, -2) to (a, -4), and another on the line y = -4 from (a, -4) to (a + b, -4). Add vectors to represent the translation from (0, -2) to (a, -2) and from (a, -4) to (a + b, -4). Finally, mirror the constructed point across the x-axis to obtain its corresponding symmetric position, illustrating how addition corresponds to combined displacement.
The prompt above was compiled from the original drawing commands and is for reference only.