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Division on the Number Line Demo

Division on the Number Line Demo
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2018-10-10 01:01
Coordinate GeometryGeometric ConstructionSlider Animation
This example dynamically demonstrates division on a number line, visually illustrating how division corresponds to equal partitioning of segments. Core math concepts include number line, division, equal partitioning, and rational number operations. It leverages GeoGebra commands like Point, Max, If, Textfield, Text, CurveCartesian, Segment, and objects such as movingDivisorPoint and userDividendPointOnNumberLine for interactive visualization and computation. Suitable for middle school and above learners to grasp the geometric meaning of division and its representation on a number line.

GeoGebra Commands & Parameters

  1. Point({divisor / endOfSegment, 0}) → correctDivisorPoint
  2. Point({dividend / endOfSegment, 0}) → correctDividendPoint
  3. Max((2 * dec), (Random[mx / 10 / dec, mx / dec] * dec)) → randomDividend
  4. If(inputDividendText ≟ "", 2, FromBase[inputDividendText, 10]) → inputDividend
  5. If(inputDivisorText ≟ "", 1, FromBase[inputDivisorText, 10]) → inputDivisor
  6. Textfield(inputDividendText) → InputBox1
  7. Textfield(inputDivisorText) → InputBox2
  8. Max(dec, round((Random[randomDividend / 20 / dec, (0.5 * randomDividend / dec)] * dec), (-log(10, dec)))) → randomDivisor
  9. Max(c, d) → roundingHelper
  10. Text(0, (-0.05, -0.03)) → text7
  11. CurveCartesian((1 / zoomMover / ((2 * π)) * (t - sin(t))), (0.05 * (1 - cos(t))), t, 0, jumper + starter) → e
  12. CurveCartesian((h / ((2 * π)) * (t - sin(t))), (0.05 * (1 - cos(t))), t, 0, jumper) → g
  13. Text(endOfSegment, B + (0.03, -0.03)) → text8
  14. CurveCartesian(((divisor / Max[divisor, dividend] * If[goesOver115, scaler, 1] / ((2 * π))) * (t - sin(t))), (0.05 * (1 - cos(t))), t, 0, jumper + starter) → i
  15. Segment((0, 0), B) → f

AI Drawing Prompt Reference

Create an interactive number line demonstration for division, showing equal partitioning of segments with movable points, input fields for dividend and divisor, dynamic calculation and display of the result, and relevant text annotations.
The prompt above was compiled from the original drawing commands and is for reference only.