Eureka Math Algebra I Study Guide

68 | eUreka Math algebra I StUdy gUIde

Lesson 8: Comparing Distributions

● (^) Students compare two or more distributions in terms of center, variability, and shape.
● (^) Students interpret a measure of center as a typical value.
● (^) Students interpret the IQR as a description of the variability of the data.
● (^) Students answer questions that address differences and similarities for two or more
distributions.

Topic C: Categorical Data on Two Variables

In Topic C, students reconnect with previous work in Grade 8 involving categorical
data. Students use a two-way frequency table to organize data on two categorical variables.
Students calculate the conditional relative frequencies from the frequency table. They explore
a possible association between two categorical variables using differences in conditional
relative frequencies. Students also come to understand the distinction between association of
two categorical variables and a causal relationship between two variables. This provides a
foundation for work on sampling and inference in later grades.

Focus Standards: S-ID.B.5 Summarize categorical data for two categories in two-way frequency tables.

Interpret relative frequencies in the context of the data (including joint, marginal, and

conditional relative frequencies). Recognize possible associations and trends in the data.★

S-ID.C.9 Distinguish between correlation and causation.★

Instructional Days: 3

Student Outcomes

Lesson 9: Summarizing Bivariate Categorical Data

● (^) Students distinguish between categorical data and numerical data.
● (^) Students summarize data on two categorical variables collected from a sample using a
two-way frequency table.
Lesson 10: Summarizing Bivariate Categorical Data with Relative Frequencies
● (^) Students summarize data on two categorical variables collected from a sample using a
two-way frequency table.
● (^) Given a two-way frequency table, students construct a relative frequency table and
interpret relative frequencies.
Lesson 11: Conditional Relative Frequencies and Association
● (^) Students calculate and interpret conditional relative frequencies from two-way
frequency tables.
● (^) Students evaluate conditional relative frequencies as an indication of possible
association between two variables.
● (^) Students explain why association does not imply causation.

Topic D: Numerical Data on Two Variables

In Topic D, students analyze relationships between two quantitative variables by using
scatter plots and by summarizing linear relationships using the least squares regression line.
Models are proposed based on an understanding of the equations representing the models