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Fractions, Decimals, and Percents on a Number Line

Fractions, Decimals, and Percents on a Number Line
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2017-09-29 04:00
FunctionCoordinate GeometryInequalityGeometric ConstructionSlider Animation
This example demonstrates how to represent fractions, decimals, and percents on a number line. It involves core math concepts such as fractions, decimals, percents, and number line representation. The construction uses GeoGebra commands/objects like Point, Segment, Sequence, If, IntegralBetween, and Vector. Suitable for middle school and above students to understand the representation and conversion of different numerical forms on a number line.

GeoGebra Commands & Parameters

  1. Point({0, 2}) → A
  2. Point({1, 2}) → B
  3. Point({2, 2}) → C
  4. Point({3, 2}) → D
  5. Point({0, -2}) → I
  6. Point({1, -2}) → J
  7. Point({2, -2}) → K
  8. Point({3, -2}) → L
  9. Segment(I, A) → g
  10. Segment(B, J) → h
  11. Segment(K, C) → i
  12. Segment(D, L) → j
  13. Sequence(Segment[(i / divisions, 1), (i / divisions, -1)], i, 0, (3 * divisions)) → grid
  14. Sequence((i / divisions, 0), i, 0, (3 * divisions)) → gridpt
  15. Point(gridpt) → slide
  16. If(numerator < 10, 0.115, numerator > 9, 0.175) → xposition
  17. If(divisions ≟ 10, 0.175, 0.115) → xposdenom
  18. IntegralBetween(1.5, -1.5, 0, x(slide)) → a
  19. Vector((-0.1, 0), (3.1, 0)) → u
  20. Vector((3.1, 0), (-0.1, 0)) → v
  21. If(percent ≟ 0, 0.825, percent < 100 ∧ percent ≟ round(percent), 0.95, percent < 100 ∧ percent ≠ round(percent), 1.15, percent ≥ 100 ∧ percent ≟ round(percent), 1.075, percent > 100 ∧ percent ≠ round(percent), 1.275) → perpos
  22. Segment((x(slide) - 0.11, -25), (x(slide) + 0.11, -25)) → fractionbar
  23. If(divisions ≟ 10, 0.0555, 0.0587) → slidepos

AI Drawing Prompt Reference

Draw a horizontal line representing fractions, decimals, and percents, with four points marked on it to form horizontal segments. Grid lines are drawn on the line. A point is marked on the grid according to the slider's position, and a vertical segment is drawn from this point. Depending on the value of the percent, marks are placed below the vertical segment at different positions to represent various numerical forms.
The prompt above was compiled from the original drawing commands and is for reference only.