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Adding Positive and Negative Integers on a Number Line (Copy)

Adding Positive and Negative Integers on a Number Line (Copy)
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2020-06-05 14:27
VectorCoordinate GeometrySlider AnimationGraphing
① This example dynamically demonstrates the addition of positive and negative integers on a number line, using vectors and segments to visualize the geometric meaning of addition. ② Core mathematical concepts include integer addition, number line, directionality of positive/negative numbers, and vector addition. ③ Construction details: The GeoGebra commands used are Vector, Segment, and Midpoint; objects include points A, B, C, D, E, F, G, vectors u, v, w, and text labels text1-text6 to show steps and results. ④ Suitable for middle school students (grade 7) learning rational number addition, and for teachers to illustrate the rules of adding integers with same or different signs.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Vector(C, D) → v
  3. Segment(Z, A) → g
  4. Segment(B, C) → h
  5. Segment(D, R) → i
  6. Vector(Z, R) → w
  7. Vector(Z, R) → w_1
  8. Vector(A, B) → u_1
  9. Vector(C, D) → v_1
  10. Midpoint(C, D) → E
  11. Midpoint(A, B) → F
  12. Midpoint(Z, R) → G

AI Drawing Prompt Reference

Visualize the addition of positive and negative integers on a number line using vectors and segments, showing the geometric meaning of addition, with steps and results labeled, suitable for middle school students learning rational number addition and integer rules.
The prompt above was compiled from the original drawing commands and is for reference only.