Citizen Math used to be called Mathalicious. If you have a current account on Mathalicious, you can use those credentials to log in to your Citizen Math account. Learn more here.

Logo icon 2 color
Riseandshine lessonbanner

Rise and Shine

What time should school start in the morning?

Login to add lessons to your favorites

Rise and Shine

What time should school start in the morning?

Login to add lessons to your favorites
Riseandshine lessonbanner
Log In or Sign Up to Access Lesson Materials
Log In or Sign Up to Access Lesson Materials
Log In or Sign Up to Access Lesson Materials

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.

REAL WORLD TAKEAWAYS

  • Humans beings’ alertness changes throughout the day because of their natural circadian rhythm.
  • A typical teenager’s circadian rhythm is shifted from an adult’s. Teenagers experience peak alertness later in the day.
  • The typical work day matches adults’ peak alertness; the typical high school day does not match teenagers’ alertness.

MATH OBJECTIVES

  • 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

This complex task is best as a culminating unit activity after students have developed formal knowledge and conceptual understanding.
Lesson gauge advanced
Algebra 2
Trig. Functions
Lesson gauge advanced
Algebra 2
Trig. Functions
Content Standards F.IF.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.
Mathematical Practices MP.3 Construct viable arguments and critique the reasoning of others.

Other Algebra 2 Lessons