Essential/Focus Questions
- How is positive association shown in a scatter plot? Negative association? No association?
- What effect will an outlier have on an association?
- How can you decide where to place a line of best fit on a scatter plot?
- What information about the data can you learn from the values of the slope and the y-intercept?
- How can a two-way table be used to compare variables?
- How might perceptions of categorical data in a two table change when using frequency versus relative frequency?
two_way_tables.pdf | |
File Size: | 802 kb |
File Type: |
line_of_best_fit_notes-teacher.docx | |
File Size: | 23 kb |
File Type: | docx |
review_with_writing_equations.docx | |
File Size: | 43 kb |
File Type: | docx |
unit_2_review.docx | |
File Size: | 48 kb |
File Type: | docx |
using_a_graphing_calculator_notes.docx | |
File Size: | 63 kb |
File Type: | docx |
graphing_calculator_assignment.docx | |
File Size: | 50 kb |
File Type: | docx |
Bivariate Data:
The first of many links on learnzillion.
http://learnzillion.com/courses/45?collection_id=655
The first of many links on khan academy.
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data
The first of many links on learnzillion.
http://learnzillion.com/courses/45?collection_id=655
The first of many links on khan academy.
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data
You will be learning the following standards in this unit:
Investigate patterns of association in bivariate data.
Investigate patterns of association in bivariate data.
- CCSS.Math.Content.8.SP.A.1 Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.
- CCSS.Math.Content.8.SP.A.2 Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.
- CCSS.Math.Content.8.SP.A.3 Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height.
- CCSS.Math.Content.8.SP.A.4 Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables. For example, collect data from students in your class on whether or not they have a curfew on school nights and whether or not they have assigned chores at home. Is there evidence that those who have a curfew also tend to have chores?
Links to other resources:
Navigating Data Analysis in Grades 6-8: An understanding of data analysis is essential to the mathematics education of informed citizens. This book illustrates the general notion of statistics as a process while prompting discussions of increasingly complex mathematical issues. It extends and deepens students' knowledge of data analysis, introduces the comparison of data sets with equal and unequal numbers of elements, and presents the analysis of data involving two variables. Using technology with the book's activities can assist students in becoming proficient at "interrogating" data. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers.
http://www.nctm.org/catalog/product.aspx?id=12325
Data: Collection of Middle School Data Resources from NCTM
http://www.nctm.org/profdev/content.aspx?id=11688
Consensus at School: A large database of activities and real data for student use in the study of statistics.
http://www.censusatschool.org.nz/classroom-activities/
Scatter It!: An introductory activity where students make a scatterplot, draw a line of best fit, and make a prediction.
http://www.censusatschool.org.nz/classroom-activities/scatter-it/
The Case of the Missing Cake: The cake is missing and our only clue is a muddy footprint. Can we use foot length to predict the height of a suspect?
http://www.censusatschool.org.nz/classroom-activities/the-case-of-the-missing-cake/
Exploring Univariate and Bivariate Data: Students explore univariate and bivariate data in this five day lesson.
http://math.buffalostate.edu/~it/projects/hgallivan.pdf
Exploring Linear Data: Students model linear data in a variety of settings, working to construct scatterplots, interpret data points and trends, and investigate the notion of line of best fit.
http://illuminations.nctm.org/LessonDetail.aspx?id=L298
Impact of a Superstar: Students use the Illuminations Line of Best Fit Activity to plot the data from two teams during the 2004‑05 NBA season. In particular, students will look at the data for total points and minutes. Students then explore the effect of outliers on the data.
http://illuminations.nctm.org/LessonDetail.aspx?id=L673
Conducting a Survey – Two-way Tables: Students create a survey and gather data for a two-way table.
http://education.monash.edu.au/research/projects/ttml/docs/units-of-work/conducting-a-survey-two-way-tables.pdf
Navigating Data Analysis in Grades 6-8: An understanding of data analysis is essential to the mathematics education of informed citizens. This book illustrates the general notion of statistics as a process while prompting discussions of increasingly complex mathematical issues. It extends and deepens students' knowledge of data analysis, introduces the comparison of data sets with equal and unequal numbers of elements, and presents the analysis of data involving two variables. Using technology with the book's activities can assist students in becoming proficient at "interrogating" data. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers.
http://www.nctm.org/catalog/product.aspx?id=12325
Data: Collection of Middle School Data Resources from NCTM
http://www.nctm.org/profdev/content.aspx?id=11688
Consensus at School: A large database of activities and real data for student use in the study of statistics.
http://www.censusatschool.org.nz/classroom-activities/
Scatter It!: An introductory activity where students make a scatterplot, draw a line of best fit, and make a prediction.
http://www.censusatschool.org.nz/classroom-activities/scatter-it/
The Case of the Missing Cake: The cake is missing and our only clue is a muddy footprint. Can we use foot length to predict the height of a suspect?
http://www.censusatschool.org.nz/classroom-activities/the-case-of-the-missing-cake/
Exploring Univariate and Bivariate Data: Students explore univariate and bivariate data in this five day lesson.
http://math.buffalostate.edu/~it/projects/hgallivan.pdf
Exploring Linear Data: Students model linear data in a variety of settings, working to construct scatterplots, interpret data points and trends, and investigate the notion of line of best fit.
http://illuminations.nctm.org/LessonDetail.aspx?id=L298
Impact of a Superstar: Students use the Illuminations Line of Best Fit Activity to plot the data from two teams during the 2004‑05 NBA season. In particular, students will look at the data for total points and minutes. Students then explore the effect of outliers on the data.
http://illuminations.nctm.org/LessonDetail.aspx?id=L673
Conducting a Survey – Two-way Tables: Students create a survey and gather data for a two-way table.
http://education.monash.edu.au/research/projects/ttml/docs/units-of-work/conducting-a-survey-two-way-tables.pdf