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K–12 teaching and learning · from the UNC School of Education

Rates of change in Pick's Theorem

http://illuminations.nctm.org/LessonDetail.aspx?ID=L625

A lesson plan for grades 9–12 Mathematics

Provider: National Council of Teachers of Mathematics


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Students will use a spreadsheet to investigate rates of change among various figures created on a geoboard. The coefficients of Pick’s Theorem are easily determined from these rates of change. Illuminations provides a spreadsheet and detailed instructions for completing the lesson.

Students will:

  • Create a spreadsheet to investigate Pick’s Theorem.
  • Look for common differences in the areas along rows and columns to discuss rates of change.

NCTM Standards and Expectations:

  • Analyze functions of one variable by investigating rates of change, intercepts, zeros, asymptotes, and local and global behavior.
  • Approximate and interpret rates of change from graphical and numerical data.
  • Interpret representations of functions of two variables.

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