Illustrative Math - Algebra 2 - Unit 6 -Lesson 16 - Formative Library | Library

A wheel rotates three times per second in a counterclockwise direction. The center of the wheel does not move.
What angle does the point P rotate through in one second?

\frac{2\pi}{3} radians

6\pi radians

2\pi radians

3\pi radians

F.IF.7.e

F.BF.3

F.TF.5

Each expression describes the vertical position, in feet off the ground, of a carriage on a Ferris wheel after t minutes. Which function describes the largest Ferris wheel?

100sin(\frac{2\pi t}{20}) + 110

200sin(\frac{2\pi t}{30}) + 210

100sin(\frac{2\pi t}{30}) + 110

250sin(\frac{2\pi t}{20}) + 110

F.IF.7.e

F.BF.3

F.TF.5

Which trigonometric function has period 5?

f(x)=sin(\frac{2\pi}{5}x)

f(x)=sin(\frac{5}{2\pi}x)

f(x)=sin(5x)

f(x)=sin(\frac{1}{5}x)

F.IF.7.e

F.BF.3

F.TF.5

10.

11.

12.

This lesson is from Illustrative Mathematics. Algebra 1, Unit 6, Lesson 16. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/6/16/index.html ; accessed 29/July/2021.

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