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Plant Height Over Time: Linear Function Graph and Data Points

Plant Height Over Time: Linear Function Graph and Data Points
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2012-05-31 00:01
FunctionSequenceCoordinate GeometryGeometric ConstructionGraphing
In collections CCGPS CA Unit 4 Lesson 2
This example demonstrates how Pablo's daily plant-height measurements over 10 days can be modeled as a linear function graph, showing the relationship between time and height. It covers linear functions, coordinate points, slope and intercept, data plotting, and function graphing. In GeoGebra, it uses Sequence to generate point/object lists such as A1-A11, B1-B11, C1-C11, and D1-D7, Textfield for labels or inputs, Segment to connect points or draw line segments, and Polygon to create a polygonal region or frame. It is suitable for middle-school and high-school algebra, science data modeling, and CCGPS CA 4.2.3 instruction.

GeoGebra Commands & Parameters

  1. Sequence(Segment[(11.5, (5 * i)), (12.5, (5 * i))], i, 1, 4) → TickList
  2. Textfield(A2) → InA2
  3. Textfield(A3) → InA3
  4. Textfield(A4) → InA4
  5. Textfield(A5) → InA5
  6. Textfield(A6) → InA6
  7. Textfield(A7) → InA7
  8. Textfield(A8) → InA8
  9. Textfield(A9) → InA9
  10. Textfield(A10) → InA10
  11. Textfield(A11) → InA11
  12. Textfield(B2) → InB2
  13. Textfield(B3) → InB3
  14. Textfield(B4) → InB4
  15. Textfield(B5) → InB5
  16. Textfield(B6) → InB6
  17. Textfield(B7) → InB7
  18. Textfield(B8) → InB8
  19. Textfield(B9) → InB9
  20. Textfield(B10) → InB10
  21. Textfield(B11) → InB11
  22. Sequence(Segment[(14, 0 + (1.75 * i)), (19, 0 + (1.75 * i))], i, 0, 10) → CrossList1
  23. Sequence(Segment[(19, 0 + (1.75 * i)), (21.5, 0 + (1.75 * i))], i, 0, 10) → CrossList2
  24. Sequence(Segment[(21.5, 0 + (1.75 * i)), (24, 0 + (1.75 * i))], i, 0, 10) → CrossList3
  25. Sequence(Segment[(14 + (2.5 * i), 0), (14 + (2.5 * i), 20)], i, 0, 2) → SideList1
  26. Segment((14, 20), (19, 20)) → Top1
  27. Segment((19, 20), (21.5, 20)) → Top2
  28. Segment((21.5, 20), (24, 20)) → Top3
  29. Segment((21.5, 0), (21.5, 20)) → Side2
  30. Segment((24, 0), (24, 20)) → Side3
  31. Polygon((13, y(Corner[1])), Corner[2], Corner[3], (13, y(Corner[4]))) → poly1, b, c, d, e
  32. Segment((0, 10), (13, 10)) → ResidualAxis

AI Drawing Prompt Reference

Create a graph showing plant height over time as a linear function. On the left, place a data table with two columns of input fields for days (1 to 10) and corresponding heights. On the right, draw coordinate axes with time on the x-axis and height on the y-axis, plot data points and connect them with a straight line. Below the chart, add a grid area made of horizontal and vertical segments to represent residuals or auxiliary lines, and draw a horizontal reference line at the bottom. Keep the layout clear to emphasize the linear relationship.
The prompt above was compiled from the original drawing commands and is for reference only.