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Integer Addition Demonstration by cemccourseware

Integer Addition Demonstration by cemccourseware
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2016-09-30 01:42
VectorCoordinate GeometryGeometric Construction
This example visually demonstrates the process of adding integers, using dynamic graphics to illustrate the geometric meaning of addition operations. It involves core math concepts such as integer operations, number line representation, and vector addition. Construction highlights utilize GeoGebra commands like Segment, Vector, NumberLine, and Point to position integer points on the number line and demonstrate vector addition. Suitable for middle school mathematics teaching to help students intuitively understand integer addition rules.

GeoGebra Commands & Parameters

  1. Segment(StartPoint, EndPoint) → NumberLine
  2. Textfield(inputans) → InputBox1
  3. Random(3, 15) → posint
  4. Random(-15, -1) → negint
  5. Segment(Origin, (0, -3)) → connect1
  6. LaTeX(Text["\checkmark"]) → RightCheck
  7. LaTeX(Text["×"]) → WrongCheck
  8. Text(negint + posint) → correctans
  9. Point(Num1Height) → Num1Point
  10. Point(Num2Height) → Num2Point
  11. Segment(Num2Point, (x(Num2Point), 0)) → connect3
  12. LaTeX(Text["Model\ the\ sum\ on\ the\ number\ line.\ Then,\,complete\ the\ addition\ statement."]) → Instructions1
  13. Sequence((i, 0), i, -15, 15, 1) → SmallTicks
  14. Sequence((i, 0), i, -15, 15, 5) → Ticks
  15. Vector((0, 1.2), Num1Point) → negvector
  16. Vector((x(Num1Point), 2.4), Num2Point) → posvector
  17. LaTeX(Text[position1]) → Highlight1Display
  18. LaTeX(Text[position2]) → Highlight2Display
  19. Sequence(Text[i, (i - 0.35, -1)], i, -15, 15, 5) → Numbers
  20. Segment(Num1Point, (x(Num1Point), 0)) → connect2
  21. Circle((i1, height), r) → C1
  22. Circle((i2, height), r) → C2
  23. Circle((i3, height), r) → C3
  24. Circle((i4, height), r) → C4
  25. Circle((i5, height), r) → C5
  26. Circle((i6, height), r) → C6
  27. Circle((i7, height), r) → C7
  28. Midpoint((0, 1.2), Num1Point) → Num1DisplayLocation
  29. Midpoint((x(Num1Point), 2.4), Num2Point) → Num2DisplayLocation

AI Drawing Prompt Reference

Draw a horizontal number line in a coordinate system, marking positive and negative integer points, and use vectors to represent the addition process of two integers. First, draw a line segment from the origin to the point at -3, then mark the positions of two randomly generated integers, represent these two integers with vectors, complete the addition operation on the number line, and finally label the calculation result and operation instructions.
The prompt above was compiled from the original drawing commands and is for reference only.