Rise and Shine (Updated!)

What time should school start in the morning?

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Rise and Shine (Updated!)

What time should school start in the morning?

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Check it out! This lesson was just updated in September 2024, and we hope you love the new and improved version. If you've already prepped an earlier version, fear not, you can still find those here through Thursday December 5, 2024.

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2023-2024 Versions

In the fall of 2024, Citizen Math released updated versions of every lesson in our library, plus a few new ones! We know you may have already prepped an earlier version or planned a repeat of last year, so we're continuing to make these earlier versions available through Thursday December 5, 2024.

You can find the new lessons through the regular search, and we hope you love them as much as we do. You can read more about these updates in Our Community.

"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 phenomenon 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.
Algebra 2
Trig. Functions
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.

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