Illustrative Math - Algebra 2 - Unit 6 - Lesson 19 - Formative Library | Library

The amount of the Moon visible d days after November 30 is modeled by the equation f(d)=0.5cos(\frac{2\pi *(d-6)}{30}). Select all the statements that are true for this model.

The model predicts that there is a full moon every 30 days.

The model predicts that there will be two full moons in December.

The model predicts a full moon on December 6.

The model predicts that more than half of the Moon will be visible on December 13.

The model predicts that none of the Moon will be visible on December 21.

F.IF.7.e

F.TF.5

The center of a clock is (0,0) in a coordinate system, and the hour hand is 8 inches long. It is 10:30 p.m. Which of the following are true of the end of the hour hand? Select all that apply.

its coordinates are about (-5.7,-5.7)

its coordinates are about (8sin(\frac{3\pi}{4}),8cos(\frac{3\pi}{4}))

its coordinates are about (5.7,-5.7)

its coordinates are about (-5.7,5.7)

its coordinates are about (8cos(\frac{3\pi}{4}),8sin(\frac{3\pi}{4}))

F.IF.7.e

F.TF.5

10.

11.

12.

13.

14.

15.

Here is the initial position of a bike wheel before it starts to move.

The vertical position, in inches, of P  is given by y=10*sin(\frac{\pi}{2}+10, where s is the number of seconds since the wheel began to move. Select all the true statements.

After \frac{1}{4} of a second, the point P will be in the position marked Q.

After \frac{3}{4} of a second, the point P  will be in the position marked Q.

The radius of the wheel is 10 inches.

The wheel makes one revolution every 3 seconds.

The wheel makes 3 revolutions per second.

F.IF.7.e

F.TF.5

This lesson is from Illustrative Mathematics. Algebra 1, Unit 6, Lesson 19. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/6/19/index.html ; accessed 29/July/2021.

IM Algebra 1, Geometry, Algebra 2 is © 2019 Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written consent of Illustrative Mathematics.

These materials include public domain images or openly licensed images that are copyrighted by their respective owners. Openly licensed images remain under the terms of their respective licenses. See the image attribution section for more information.