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