###### Secondary Mathematics I [2011]
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Summarize, represent, and interpret data on two categorical and quantitative variables.
Students take a more sophisticated look at using a linear function to model the relationship between two numerical variables. In addition to fitting a line to data, students assess how well the model fits by analyzing residuals.

S.ID.6b should be focused on situations for which linear models are appropriate.

S.ID.6
Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.

• Barbie Bungee
this Illuminations lesson, students model a bungee jump using a Barbie doll and rubber bands. The distance to which the doll will fall is directly proportional to the number of rubber bands, so this context is used to examine linear functions.
• DASL
DASL (pronounced "dazzle") is an online library of datafiles and stories that illustrate the use of basic statistics methods.
• Interpreting Categorical and Quantitative Data Curriculum Guide
The Utah State Office of Education (USOE) and educators around the state of Utah developed these guides for the Secondary Mathematics 1 Cluster "Summarize, represent, and interpret data on a single count or measurement variable" / Standards S.ID.1, S.ID.2 and S.ID.3 and Cluster "Summarize, represent, and interpret data on two categorical and quantitative variables" / Standards S.ID.5 and S.ID.6 and Cluster "Interpret linear models" / Standards S.ID.7, S.ID.8 and S.ID.9.
• Modeling Linear Relationships
Students compare arm span and height in people to learn about proportion. They also use a scatter plot graph to analyze their data.
• Shedding Light on the Subject
In this lesson, one of a multi-part unit from Illuminations, students explore the development of a mathematical model for the decay of light passing through water, in a rich exploration of exponential models in context. They use an interactive Java applet to explore related algebraic functions.

These materials have been produced by and for the teachers of the State of Utah. Copies of these materials may be freely reproduced for teacher and classroom use. When distributing these materials, credit should be given to Utah State Office of Education. These materials may not be published, in whole or part, or in any other format, without the written permission of the Utah State Office of Education, 250 East 500 South, PO Box 144200, Salt Lake City, Utah 84114-4200.