In this assessment, students investigate the maximum number of regions in a circle created by a different number of chords. In Part A of the investigation, students first discover how to draw chords in a circle to ensure the maximum number of regions in the circle. In Parts B and C, students use the patterns they found previously to describe and then suggest rules in the form of recursive and explicit formula. Finally, in Part D of the investigation, students use their choice of mathematical methods to verify (and in the extended version justify) their rules found previously.
Math Concepts: chords regions sequence quadratic sequence recursive formula explicit formula
MYP Related Concepts: patterns systems
MYP Key Concepts: relationships
MYP Global Context: Identities and Relationships