Curriculum / Math / 8th Grade / Unit 8: Bivariate Data / Lesson 1
Math
Unit 8
8th Grade
Lesson 1 of 9
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Define bivariate data. Analyze data in scatter plots.
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
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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
Each point on this graph represents a bag of sugar.
a. Which point shows the heaviest bag?
b. Which point shows the cheapest bag?
c. Which points show bags with the same weight?
d. Which points show bags with the same price?
e. Which of F or C gives the best value for the money? How can you tell?
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Sugar Prices from the Summative Tasks is made available through the Mathematics Assessment Project under the CC BY-NC-ND 3.0 license. Copyright © 2007-2015 Mathematics Assessment Resource Service, University of Nottingham. Accessed June 21, 2017, 10:59 a.m..
The scatter plot shows weights and fuel efficiencies for 18 cars.
a. What does the point $${(x, y)}$$ represent in this context?
b. Name 3 observations about this graph.
Grade 8 Unit 6 Lesson 3 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 9, 2018, 1:06 p.m..
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15-20 minutes
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A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
In the game of Monopoly, as you move around the board, the rental costs of properties with one hotel change. The scatter plot below shows some information about these rental costs compared to the number of spaces you are from the starting place, “GO.”
a. What are the two variables in the scatter plot?
b. What is the cheapest rent for a Monopoly property with one hotel? What is the most expensive?
c. Are there any hotels that have the same rental price but are a different number of spaces from “GO”? If so, name the rent cost and number of spaces from “GO.”
d. Do you notice a relationship between the data? Explain.
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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Create scatter plots for data sets and make observations about the data.
Topic A: Associations in Bivariate Numerical Data
Standards
8.SP.A.1
Identify and describe associations in scatter plots including linear/nonlinear associations, positive/negative associations, clusters, and outliers.
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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