 Secondary Mathematics I

Strand: STATISTICS AND PROBABILITY - Interpreting Categorical and Quantitative Data (S.ID)

Summarize, represent, and interpret data on a single count or measurement variable (Standards S.ID.1-3). Summarize, represent, and interpret data on two categorical and quantitative variables (Standard S.ID.6). Interpret linear models building on students' work with linear relationships, and introduce the correlation coefficient (Standards S.ID.7-9).
• Box Plotter
This student interactive, from Illuminations, allows students to create a customized box plot as well as display pre-set box plots.
• Coffee and Crime
This task addresses many standards regarding the description and analysis of bivariate quantitative data, including regression and correlation.
• DASL
DASL (pronounced "dazzle") is an online library of datafiles and stories that illustrate the use of basic statistics methods.
• Describing Data Sets with Outliers
The goal of this task is to look at the impact of outliers on two important statistical measures of center: the mean and the median.
• Devising a Measure for Correlation
This lesson unit is intended to help educators assess how well students understand the notion of correlation.
• Golf and Divorce
This is a simple task addressing the distinction between correlation and causation. Students are given information indicating a correlation between two variables, and are asked to reason out whether or not a causation can be inferred.
• Haircut Costs
This problem could be used as an introductory lesson to introduce group comparisons and to engage students in a question they may find amusing and interesting. More generally, the idea of the lesson could be used as a template for a project where students develop a questionnaire, sample students at their school and report on their findings.
• High blood pressure
The purpose of this task is to assess understanding of how study design dictates whether a conclusion of causation is warranted.
• Histogram Tool
This tool can be used to create a histogram for analyzing the distribution of a data set using data that you enter or using pre-loaded data that you select.
• Interpreting Statistics: A Case of Muddying the Waters
This lesson unit is intended to help educators assess how well students are able to interpret data and evaluate statistical summaries and critique someone else's interpretations of data and evaluations of statistical summaries.
• Introduction to the Materials (Math 1)
Introduction to the Materials in the Mathematics One of the The MVP classroom experience begins by confronting students with an engaging task and then invites them to grapple with solving it. As students ideas emerge, take form, and are shared, the teacher orchestrates the student discussions and explorations towards a focused mathematical goal. As conjectures are made and explored, they evolve into mathematical concepts that the community of learners begins to embrace as effective strategies for analyzing and solving problems.
• Linear Regression and Correlation
In this lesson students will plot data onto a scatter plot and then determine the line of best fit for the data sets.
• Mean and Median
In this applet from Illuminations, students investigate the mean, median, and box-and-whisker plot for a set of data that they create. The data set may contain up to 15 integers, each with a value from 0 to 100.
• Measuring Variability Through Tracking Wildfires
Data about wildfires in the U.S. is the basis of this lesson. Students examine the data about active fires as well as historical data and use that data to find changes across decades. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Module 9: Modeling Data - Student Edition (Math 1)
The Mathematics Vision Project, Secondary Math One Module 9, Modeling Data, addresses representing data in dot plots, histograms, and box plots, and analyzing the data with appropriate summary statistics for center, shape, and spread and identifying the existence of extreme data points. They compare data sets to draw conclusions and justify arguments based upon story context. This work extends the experience that students had in grades 6-8 where they informally described both center and spread.
• Module 9: Modeling Data - Teacher Notes (Math 1)
The Mathematics Vision Project, Secondary Math One Module 9 Teacher Notes, Modeling Data, addresses representing data in dot plots, histograms, and box plots, and analyzing the data with appropriate summary statistics for center, shape, and spread and identifying the existence of extreme data points. They compare data sets to draw conclusions and justify arguments based upon story context. This work extends the experience that students had in grades 6-8 where they informally described both center and spread.
• Normal Distribution
Students will better understand normal distribution by changing the standard deviation in the applet of this lesson plan.
• Olympic Men's 100-meter dash
The task asks students to identify when two quantitative variables show evidence of a linear association, and to describe the strength and direction of that association.
• Representing Data 1: Using Frequency Graphs
This lesson unit is intended to help educators assess how well students are able to use frequency graphs to identify a range of measures and make sense of this data in a real-world context.
• Representing Data 2: Using Box Plots
This lesson unit is intended to help educators assess how well students are able to interpret data using frequency graphs and box plots.
• Restaurant Bill and Party Size
The purpose of this task is to assess student understanding of residuals and residual plots.
• Speed Trap
The purpose of this task is to allow students to demonstrate an ability to construct boxplots and to use boxplots as the basis for comparing distributions.
• STATISTICS - Interpreting Categorical and Quantitative Data (S.ID) - Sec Math I Core Guide
The Utah State Board of Education (USBE) and educators around the state of Utah developed these guides for the Secondary Mathematics I - Interpreting Categorical and Quantitative Data (S.ID). http://www.uen.org - in partnership with Utah State Board of Education (USBE) and Utah System of Higher Education (USHE).  Send questions or comments to USBE Specialist - Lindsey  Henderson and see the Mathematics - Secondary website. For general questions about Utah's Core Standards contact the Director - Jennifer  Throndsen.