Page 73 - IM_Algebra1_FL Print Sample.pdf

Lesson 1: Two-way Tables
• Understand how data in two-way tables are organized. Lesson Narrative
The mathematical purpose of this lesson is to create and interpret two-way tables. Two-way tables are used to organize data on two categorical variables. Students encounter the term categorical variable, which is a variable that represents data which can be divided into groups or categories. In statistics, a variable is a characteristic that can take on di erent values. In eighth grade, students had the opportunity to use two-way tables. The rst few tasks incorporate some embedded review. In the future, students will create and interpret two-way tables showing relative frequencies. When students answer questions about some data, they are making use of the structure of the tables (MP7) to organize and understand the information from descriptions of data.
Student Learning Goals
• Let’s look at categorical data.
1.1 Utensils and Paper Preferences
Warm Up: 10 minutes
The purpose of this activity is not to construct a perfect two-way table, but to motivate the need for an e cient representation. Monitor for students who:
1. Go back to the original statements to answer each question from scratch.
2. Draw shapes to represent the students and group them into utensil and paper preferences.
3. Create a table to keep track of the information, complete the table, and then answer the questions.
Launch
Allow students 3 to 5 minutes to work the questions then have a whole group discussion.
Student Task Statement
Several students are surveyed about whether they prefer writing with a pen or a pencil and they are also asked whether they prefer lined paper or unlined paper. Some of the results are:
• The survey included 100 di erent students.
• 40 students said they prefer using pen more than pencil.
• 45 students said they prefer using unlined paper more than lined paper. • 10 students said they prefer lined paper and pen.
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Teacher Guide
Algebra