Pi Line

Make a connection between pi and the slope of a line with ratios. Groups measure the diameter and circumference of various round objects with tape. Using the tape, the teams create a scatter plot to plot the diameter versus the circumference. With the values of the data they collect, the teams determine the line of best fit and interpret the slope and y-intercept of the line as they relate to the context of the circles.

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CCSS: Adaptable
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Instructional Ideas

  • Provide each group with a different set of circular objects and compare the slope of each group's lines
  • Lead a discussion on the need for precision
Classroom Considerations

  • Individuals should have a basic understanding of slope of a proportional relationship

  • Provides general directions on how to find the line of best fit using a calculator
  • Includes suggestions for extensions

  • The graphing tool included with the activity does not work