Curriculum / Math / 8th Grade / Unit 8: Bivariate Data / Lesson 2
Math
Unit 8
8th Grade
Lesson 2 of 9
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Lesson Notes
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Create scatter plots for data sets and make observations about the data.
The core standards covered in this lesson
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.
The foundational standards covered in this lesson
6.SP.B.4 — Display numerical data in plots on a number line, including dot plots, histograms, and box plots.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
A common misconception is to confuse causality with association. For example, students may misunderstand a relationship between two variables to imply that one variable causes another to change, when there is only evidence to show an association between the two variables. As students describe relationships between variables, ensure they use language to imply an association rather than a casual relationship (MP.6).
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
25-30 minutes
Do taller people tend to have bigger hands?
Option 1: Collect data measurements.
Option 2: Use predetermined data measurements.
a. Create a clearly labeled graph that displays the relationship between height and hand span.
b. Based on the graph, how would you answer the question about whether taller people tend to have bigger hands? Explain your reasoning.
d. Can you conclude that having a bigger hand span causes people to be taller?
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Hand Span and Height, accessed on March 14, 2017, 5:57 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Is there a relationship between price and the quality of athletic shoes?
The data in the table below is from the Consumer Reports website. The variable $$x$$ represents the price in dollars, and the variable $$y$$ represents the Consumer Reports quality rating. The quality rating is on a scale of 0 to 100, with 100 being the highest quality.
a. Construct a scatter plot of the data.
b. Does there appear to be a statistical relationship between price and quality rating?
c. According to your graph, is it true that if shoes have a high price then they must be of high quality?
Grade 8 Mathematics > Module 6 > Topic B > Lesson 6 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
A set of suggested resources or problem types that teachers can turn into a problem set
15-20 minutes
Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
Here is a table that shows measurements of right hand length and right foot length for five people.
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a. Draw a scatter plot for the data.
b. Circle the point in the scatter plot that represents Person D’s measurements.
Grade 8 Unit 6 Lesson 2 is made available by Open Up Resources under the CC BY 4.0 license. Copyright © 2017 Open Up Resources. Download for free at openupresources.org. Accessed April 23, 2018, 9:56 a.m..
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
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Identify and describe associations in scatter plots including linear/nonlinear associations, positive/negative associations, clusters, and outliers.
Topic A: Associations in Bivariate Numerical Data
Define bivariate data. Analyze data in scatter plots.
Standards
8.SP.A.1
Informally fit a line to data. Judge the fit of the line and make predictions about the data based on the line.
8.SP.A.2
Write equations to represent lines fit to data and make predictions based on the line.
8.SP.A.3
Interpret the slope and $$y$$-intercept of a fitted line in context.
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Topic B: Associations in Bivariate Categorical Data
Create and analyze two-way tables representing bivariate categorical data.
8.SP.A.4
Calculate relative frequencies in two-way tables to investigate associations in data.
Complete two-way tables and identify associations in the data.
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