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Slope and Proportional Relationships

Slope and Proportional Relationships
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2017-04-20 01:57
FunctionCoordinate GeometrySlider Animation
Explore how slope is related to the x- and y-axis scales for proportional relationships by entering a ratio, such as 4 miles to 2 hours. Utilize commands like RotateText, If, Point, Segment, Textfield, Polygon to understand the relationship between ratios and slope. Suitable for middle school and above students to learn about ratios, slope, and functions.

GeoGebra Commands & Parameters

  1. RotateText(q1labelForLengthAlwaysShow, π / 2) → q1labelForYlengthAlwaysShow
  2. If(q1 ≥ 0 ∧ q1 ≤ 0.1, 0.1, If[q1 < 100, round((100 * q1)) / 100, If[q1 < 200, round((10 * q1)) / 10, If[q1 > 500, 100, round(q1)]]]) → q1rnd
  3. If(q2 ≥ 0 ∧ q2 ≤ 0.1, 0.1, If[q2 < 100, round((100 * q2)) / 100, If[q2 < 200, round((10 * q2)) / 10, If[q2 > 500, 100, round(q2)]]]) → q2rnd
  4. Point(f) → T
  5. Segment(T, T + (10000000, 0)) → T2Seg
  6. Point(T2Seg) → T2
  7. Textfield(q1labelForLengthAlwaysShow) → q1labelInput
  8. Textfield(q2labelForLengthAlwaysShow) → q2labelInput
  9. Textfield(q1) → q1valueInput
  10. Textfield(q2) → q2valueInput
  11. Polygon(T, T2, (x(T2), f(x(T2)))) → slopeTri1, g, h, i