Illustrative Math - Algebra 2 - Unit 7 - Lesson 3

By Formative Library

Last updated about 1 year ago

7 Questions

Andre is in the band and he is conducting an experiment to determine if high school students find listening to classical music or listening to the sounds of the ocean more calming. He selects five students at random from the band to listen to classical music. He then selects five people at random from the swim team to listen to the sounds of the ocean. What is problematic about the way that Andre selected his groups?

S.IC.3

S.IC.1

You want to survey twenty of the 150 ninth graders to get their opinion on the school’s new schedule. Which of the following methods is most likely to lead to a sample that is the most representative of the 150 ninth graders?

Choose 20 ninth graders from your first period class.

Select 20 students at random from the ninth grade.

Choose the first 20 ninth graders from an alphabetical list.

Select 5 students at random from each of ninth, tenth, eleventh and twelfth grade.

S.IC.3

S.IC.1

The United States Senate has 2 senators from each of the 50 states. Select all methods that would select a sample of 10 senators at random from the entire Senate.

Take the 10 senators from the 5 largest states.

Number the senators from 1 to 100. Use a random number generator to make a list of 10 random integers between 1 and 100 inclusive.

Take the 10 senators who have served in the Senate the longest.

Place the names of all 100 senators on individual slips of paper placed into a bowl. Thoroughly mix up the slips and then select 10 of them.

Send letters to all 100 senators. Select the 10 that reply back the quickest.

S.IC.3

S.IC.1

What type of study would you conduct if you wanted to know how many miles a week on average students on the school's cross country team run during the summer? 

Explain your reasoning.

S.IC.3

S.IC.1

Describe the design of an experimental study that could determine whether you send text messages faster before or after exercise.

S.IC.3

S.IC.1

This lesson is from Illustrative Mathematics. Algebra 1, Unit 7, Lesson 3. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/7/3/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.