Subtraction Number Line Fixed

Subtraction Number Line Fixed
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2019-01-03 00:31
This GeoGebra example demonstrates integer subtraction on a number line using vectors and segments. It visually shows how subtracting a number corresponds to moving leftward from the minuend by the subtrahend's length, with the endpoint representing the difference. Core concepts include the number line model for subtraction, directed distance, and vector representation of arithmetic operations. The construction uses the Vector command to create vector v indicating the subtraction step, and Segment command to draw the number line segments, involving points A, B, C, D, their primed versions, and text objects for labeling. Suitable for upper elementary to middle school students learning integer operations, and useful for teachers to illustrate the connection between arithmetic and geometric representation.

GeoGebra Commands & Parameters

  1. Vector(C, D) → v
  2. Segment(C, (a, 0)) → f
  3. Vector(C, D) → u
  4. Segment((a - b, 0.8), (a - b, 1.2)) → i
  5. Segment(D, (a - b, 0)) → g
  6. Segment((a - b, 0.8), (a - b, 1.2)) → h