In this assessment, students investigate (1) the number of chords and (2) the number of regions in a circle created by a different number of chords. In Part A, students discover how different number of points marked on a circle result in different number of chords/regions, then in Part B they use the patterns found previously to suggest a rule, in the form of a recursive and then an explicit formula, for the number of chords in a circle. In the last section(s) of the assessment students discover (or use) the formula for the number of regions in the circle.

Math Concepts:
points
regions
sequence
quadratic sequence
quartic sequence
GDC
regression line
recursive formula
explicit formula

MYP Related Concepts:
patterns
systems

MYP Key Concepts:
relationships

MYP Global Context:
Identities and Relationships