Rediscovering Patterns in Pick's Theorem—Investigating Pick's Theorem

This Rediscovering Patterns in Pick's Theorem—Investigating Pick's Theorem lesson plan also includes:

New Review

Pick the area of figures wisely. Using a geoboard, learners investigate the relationship between the area of a figure and the perimeter and interior pins in the first of a three-part series. They use the pattern to develop the equation, Pick's Theorem, showing the relationship. They verify their equation holds for other geoboard figures.

3 Views 0 Downloads
CCSS: Adaptable
Instructional Ideas

  • Have class members come up with figures of a given area by describing the possible combinations of interior and perimeter pins
Classroom Considerations

  • Interactive geoboard requires Flash
  • The class should be comfortable finding areas of composite figures
Pros

  • Provides a variety of geoboard setups to use, either paper, actual, or virtual
  • Includes suggestions for extensions
Cons

  • None