Graphical Demonstration of Integer Addition and Subtraction
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This GeoGebra applet provides a graphical demonstration of adding and subtracting integers using geometric constructions on the coordinate plane. It illustrates core mathematical concepts such as integer arithmetic, positive and negative direction, vector translation, and the geometric meaning of signs. The construction employs GeoGebra commands including Line, Vector, OrthogonalLine, Intersect, Segment, Mirror, Midpoint, and the conditional command If, together with points A, B, C, E, F, G, H, segments d, e, f, g, h, u, v, w, and multiple text objects (texto, TextoSigno series) to dynamically display operation symbols and results. Suitable for middle school mathematics instruction, classroom demonstrations, and independent student exploration, helping learners build geometric intuition for integer addition and subtraction.
GeoGebra Commands & Parameters
Line(C, xAxis) → dVector(B, D) → uVector(C, E) → vOrthogonalLine(E, xAxis) → eIntersect(e, xAxis) → FSegment(E, F) → fSegment(D, C) → gSegment(A, B) → hMirror(E, C) → E'Vector(C, E') → wMidpoint(E, C) → GMidpoint(D, B) → HIf(signo < 0, "-", "+") → TextoSignoIf(a > 0, "+", " ") → TextoSignoaIf(b > 0, "+", " ") → TextoSignobIf(b2 ≥ 0, "+", " ") → TextoSignob2
AI Drawing Prompt Reference
Please draw a geometric construction that demonstrates integer addition and subtraction. The figure includes points, line segments, and vectors on the coordinate plane to represent positive and negative directions and operation results. First, draw a line on the coordinate axis, then create two vectors each pointing from one point to another. Next, draw perpendicular line segments and midpoints between these points, and use mirror transformations to reflect the positions of certain points. Finally, dynamically display addition and subtraction symbols and results based on conditional signs.
The prompt above was compiled from the original drawing commands and is for reference only.