What time should school start in the morning? The circadian rhythm is a 24-hour cycle that regulates how a body feels. As humans get older, the rhythm changes...which often leads to conflicts between parents and their sleep-deprived teens.

Students use periodic functions to compare the alertness levels of adults vs. teenagers over the course of the day and debate the merits of starting school later.

Students will

  • Identify key features of a graphed periodic function including: period, amplitude, and relative maximums and minimums
  • Interpret a trigonometric function modeling a real-world phenomena and use it to justify decision-making

Before you begin

Students will have a chance to relate a periodic function to an equation, but they do not need to already be familiar with either.

Common Core Standards

Content Standards
Mathematical Practices


that sleepy kid struggling through first period