Graphical Demonstration of Integer Addition and Subtraction by Mathguru
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① This example shows how to visualize integer addition and subtraction on a number line using vectors and segments. ② Core mathematical concepts include integers, arithmetic operations, number‑line representation, and vector addition/subtraction. ③ Construction highlights: GeoGebra commands Line, Vector, OrthogonalLine, Intersect, Segment, Mirror, Midpoint, If together with objects signo, b, b2, A, a, B, C, d, D, u, E, v, e, F, f, g, h, E', w, texto1, G, H, i, TextoSigno, TextoSignoa, texto3, TextoSignob, texto2, texto4, texto5, texto6, c, TextoSignob2, texto7 build a dynamic number line and vectors. ④ Suitable for upper‑primary to lower‑secondary mathematics classes, as well as self‑study or classroom demonstration to develop spatial intuition for integer arithmetic.
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