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#### Description:

In this lesson, students use data collected comparing height and arm span and create a scatter plot from the bivariate data. In the first section, How Square Can You Be?, students look at measurement comparisons between the height and arm span of 24 people. The second section, Analyzing the Differences, asks students to look at the data again to answer questions about proportion of height to arm span, such as who is square and who is rectangular. The third section, Using a Scatter Plot, has students analyze the same data on a scatter plot with the line representing Height = Arm Span. There are questions for student to answer independently, but hints are provided.

#### Subjects:

• Mathematics > General

English

#### Access Privileges:

Public - Available to anyone

Creative Commons Attribution Non-Commercial Share Alike

#### Collections:

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Update Standards?

#### CCSS.Math.Content.6.RP.A.3a: Common Core State Standards for Mathematics

Make tables of equivalent ratios relating quantities with whole number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.

#### CCSS.Math.Content.7.RP.A.2c: Common Core State Standards for Mathematics

Represent proportional relationships by equations.

#### CCSS.Math.Content.6.SP.A.1: Common Core State Standards for Mathematics

Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.

#### CCSS.Math.Content.6.SP.A.2: Common Core State Standards for Mathematics

Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.

#### CCSS.Math.Content.8.SP.A.1: Common Core State Standards for Mathematics

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: Common Core State Standards for Mathematics

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.HSS-ID.B.6c: Common Core State Standards for Mathematics

Fit a linear function for a scatter plot that suggests a linear association.
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