In this assessment (which is based on Pick's Theorem), students investigate polygons drawn in coordinate planes whose vertices fall on lattice points. In Part A of the investigation, students observe lattice rectangles to discover a pattern between their areas and the number of their interior and boundary lattice points. Then, in Part B of the investigation, students use guided questions to verify and justify their findings using lattice triangles, both right-angled triangles and non-right-angled triangles. Finally, in Part C of the investigation, students select and apply their choice of mathematical problem-solving techniques to verify and justify their previous findings on convex or concave polygons.
Math Concepts: area polygon lattice lattice polygon Pick's formula
MYP Related Concepts: generalization
MYP Key Concepts: logic
MYP Global Context: Identities and Relationships