Lesson 14: Variables, Variables, Variables
Lesson 14: Variables, Variables, Variables
Objective:
Students will learn how to read and interpret multiple variable plots: bivariate scatterplots, multiple variable scatterplots, stacked bar plots, and sidebyside bar plots. They will summarize their learning about multiple variable plots using a fourfold graphic organizer.
Materials:

Scatterplot of Heights & Weights (LMR_1.13)

Scatterplot of Heights & Weights, Split by Gender (LMR_1.14)

SidebySide Bar Chart (LMR_1.15)

Faceted Histogram of Height by Gender (LMR_1.16)

Summarizing MultiVariable Plots graphic organizer (LMR_1.17)
Vocabulary:
scatterplot grouping sidebyside bar plot
Essential Concepts:
Essential Concepts:
To examine whether two (or more) variables are related, we can plot their distributions on the same graph.
Lesson:

Begin by informing students that they will learn how to make visual displays using more than one variable, and by asking them to ponder the following questions:

What do you think is the relation between people’s heights and weights?

Are taller people heavier? Always? Or is this just a tendency?
What do you think is the relation between people's heights and weights? Are taller people heavier? Always? Or is this just a tendency? Let's look at some data.


Display the following plot to the class (LMR_1.13) so they can see some actual data:

Ask students to individually answer the following questions about the plot on the handout (LMR_1.13):

What kind of plot is this and how will you remember its features? Scatterplot.

How many variables are displayed in this plot? Name the variable(s) and identify the type of variable(s). Two variables. Weight in kilograms and height in meters. Numerical variables.

What do the axes show? The xaxis shows the height of teens in meters, and the yaxis shows the weight of teens in kilograms.

Do taller people weigh more? Not necessarily, but there is a tendency for this to be true.


Discuss this plot with the class by eliciting students’ responses to the questions. Students actively listen to the discussion by confirming, correcting, or adding to their own responses.

Close the discussion by asking students: What questions might you have about this plot? What additional information would be helpful?

Now, suppose we could see which of these dots represented girls and which represented boys. Where do you think most of the girls' dots would be relative to the boys?

Display the following plot to the class (LMR_1.14):

Ask students to individually answer the following questions about the plot on the handout (LMR_1.14):

What kind of plot is this and how will you remember its features? Scatterplot.

How many variables are displayed in this plot? Name the variable(s) and identify the type of variable(s). Three variables. Weight in kilograms and height in meters are numerical variables. Gender is categorical.

What do the axes show? The xaxis shows the height of teens in meters, and the yaxis shows the weight of teens in kilograms.

What questions can we ask that this graph might answer? Who is taller, boys or girls? Who weighs more? Is the association between height and weight the same for boys as it is for girls?


Discuss this plot with the class by eliciting students’ responses to the questions. Students actively listen to the discussion by confirming, correcting, or adding to their own responses. Followup discussion: when the data are split into categories, it is called grouping.

Close the discussion by asking students: What questions might you have about this plot? What additional information would be helpful?

Display the following plot to the class (LMR_1.15):

Ask students to individually answer the following questions on the handout (LMR_1.15):

What kind of plot is this and how will you remember its features? Sidebyside bar chart.

How many variables are displayed in this plot? Name the variable(s). Two variables: whether or not someone is Hispanic, and how often they wear sunscreen.

What are the xaxis and yaxis telling us? The xaxis shows how often a student wears sunscreen, and the yaxis shows the percentage of the total that fall into that category (broken into two bars, one for Hispanic and one for nonHispanic).

What statistical questions can you answer with this graph? Do Hispanics and non Hispanics have different approaches to sunscreen? What percent of Hispanics always/never wear sunscreen? How does that compare to nonHispanics?


Discuss this plot with the class by eliciting students’ responses to the questions. Students actively listen to the discussion by confirming, correcting, or adding to their own responses.

Close the discussion by asking students: What questions might you have about this plot? What additional information would be helpful?

Display the following plot to the class (LMR_1.16)

Ask students to individually answer the following questions on the handout (LMR_1.16):

What kind of plot is this and how will you remember its features? Split or faceted histogram.

How many variables are displayed in this plot? Name the variable(s). Two variables: height and gender.

What are the xaxis and yaxis telling us? The xaxis shows height in feet, and the yaxis shows the total that fall into a certain range of heights (broken into two histograms, one for males and one for females).

What statistical questions can you answer with this graph? Do males and females differ in height? What is the typical female height? What is the typical male height?


Discuss this plot with the class by eliciting students’ responses to the questions. Students actively listen to the discussion by confirming, correcting, or adding to their own responses.

Using the notes and sketches in their DS journals, students will summarize their learning of how to read and interpret basic multiple variable plots by completing the Multiple Variable Plots fourfold graphic organizer (LMR_1.17):
Class Scribes:
One team of students will give a brief talk to discuss what they think the 3 most important topics of the day were.
Next 2 Days