ALGII.5 Trigonometric Functions

Beginning Lesson

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As the World Turns (HS)

How fast is the Earth spinning? Students use rates, arc length, and trigonometric ratios to determine how fast the planet is spinning at different latitudes.

Topic: Circles (C), Similarity, Right Triangles, and Trigonometry (SRT)

Middle Lesson

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Mercury Rising

How have temperatures changed around the world? Students use periodic functions to compare long-term average monthly temperatures to recorded monthly temperatures, evaluate evidence of climate change, and discuss possible consequences.

Topic: Functions (F), Interpreting Categorical and Quantitative Data (ID), Interpreting Functions (IF)

End Lesson

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The Sound of Silence

How do noise-canceling headphones work? In this lesson, students use transformations of trigonometric functions to explore how sound waves can interfere with one another, and how noise-canceling headphones use incoming sounds to figure out how to produce that sweet, sweet silence.

Topic: Building Functions (BF), Interpreting Functions (IF)