MathPlotAI Logo MathPlotAI

Improper Fractions Visualization by Jose Vicente Samacá Ramirez

Improper Fractions Visualization by Jose Vicente Samacá Ramirez
Loading the math board and drawing, please wait…
2019-09-17 10:14
FunctionCoordinate GeometryGeometric Construction
This example visualizes improper fractions. Key mathematical concepts include fractions and division. Using GeoGebra commands like If, Sequence, Div, Mod, etc., the numerator and denominator of the fraction are constructed and displayed graphically. Suitable for high-grade elementary and junior high school students to learn about fractions.

GeoGebra Commands & Parameters

  1. If(a > 12, 14 / (a + 2), 1) → r
  2. Sequence(A + (((1.2 * r) * (i - (k * Mod[i - 1, b]) - ((k * (b - 1)) * Div[i - 1, b]))), 0), i, 1, a) → p1
  3. Sequence(Rotate[Translate[Element[p1, i], Vector[(0, r / 2)]], 3.141592653589793 / b + (((2 * 3.141592653589793) * k) * Mod[i - 1, b] / b), Element[p1, i]], i, 1, a) → p2
  4. Sequence(Rotate[Translate[Element[p1, i], Vector[(0, r / 2)]], ((-3.141592653589793)) / b + (((2 * 3.141592653589793) * k) * Mod[i - 1, b] / b), Element[p1, i]], i, 1, a) → p3
  5. Sequence(CircleSector[Element[p1, i], Element[p3, i], Element[p2, i]], i, 1, a) → secs
  6. Div(a, b) → c
  7. Mod(a, b) → a1
  8. lt("=") → e1b
  9. If(si, TableText[{{e1a, e1b, e1c}, {e2a, e1b, e2c}}, "rcl"], TableText[{{e1a, e2a}}]) → text3
  10. Sequence(Text[If[Mod[i, b] ≟ 0, rt["" + (i)], bt["" + (i)]], ((-0.09), (-0.2)) + Element[p1, i], true, true], i, 1, a) → numbers
  11. LaTeX(lm[frc["\blue{" + a + "}", "\red{" + b + "}"]]) → text1