Lesson Plan


Students investigate Picks Theorem, involving the area of an irregular polygon on a lattice point grid. This problem has students look for patterns, try to establish a formula, and test the formula with a more difficult case. The area of a lattice point Pterodactyl.


  • Mathematics > General
  • Mathematics > Applied Mathematics
  • Mathematics > Geometry
  • Mathematics > Measurement

Education Levels:

  • Grade 6
  • Grade 7
  • Grade 8
  • Grade 9
  • Grade 10
  • Grade 11
  • Grade 12


geometry measurement coordinate conjecture pythagorean theorum trapezoid triangle triangles picks theorum



Access Privileges:

Public - Available to anyone

License Deed:

Creative Commons Attribution 3.0


Update Standards?

CCSS.Math.Content.7.G.B.6: Common Core State Standards for Mathematics

Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
Curriki Rating
On a scale of 0 to 3
On a scale of 0 to 3

This resource was reviewed using the Curriki Review rubric and received an overall Curriki Review System rating of 3, as of 2009-07-27.

Component Ratings:

Technical Completeness: 3
Content Accuracy: 3
Appropriate Pedagogy: 2

Reviewer Comments:

This lesson requires students to make some strenuous calculations before they come up with a guess to the requested formula. It’s a daunting task, and the author doesn’t reassure the student at all. It’s a very interesting result and not at all obvious

Not Rated Yet.

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