# Wind Speed Scatter Plot

### Overall Rating

Subject:
Math
Lesson Duration:
90 Minutes
State Standards:
NC.8.SP.1 Construct & interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Investigate & describe patterns such as clustering, outliers, positive or negative association, linear association
NC.8.SP.1 Investigate & describe patterns such as clustering, outliers, positive or negative association, linear association and nonlinear association.

### Essential Question

How does plotting data on a scatter plot help to determine if a relationship exists between bivariate data?

### Objective

The student will be able to:

a) construct a scatter plot,
b) interpret the constructed scatter plot to determine if a relationship exists,
c) if a relationship exists, construct a line of correlation and determine if the relationship is positive or negative.

### Background

The Wright brothers chose the Kitty Hawk location for many reasons. Based upon their journal entries they had three requirements for choosing a location for their test flights: seclusion, sand, and wind. When they wrote to the Weather Bureau they wanted to gain data about wind speeds around the United States. Kitty Hawk, North Carolina provided the wind speed, isolation, and geographic terrain to give the Wright brothers the necessities to conduct their test flights.

### Preparation

Prior to the Wright Brothers National Memorial visit, the teacher should lead a discussion about the features that the Wright brothers needed when choosing a location. The following website can be used to help guide this discussion. Prior to the visit, also discuss the differences between an altimeter (measuring altitude) vs. an anemometer (measuring wind speed).

https://www.loc.gov/collections/wilbur-and-orville-wright-papers/articles-and-essays/collection-highlights/kitty-hawk/

### Materials

Anemometer, altimeter app or device, graph paper, and a pencil. To download materials list and full lesson plan click the lesson materials link below.

### Lesson Hook/Preview

Students will construct an anemometer and take wind speed measurements at various heights at Wright Brothers National Memorial. They will then plot these coordinates on a coordinate plane in order to construct a scatter plot. Finally, they will look to see if a positive or negative relationship exists between the data points.

### Procedure

Students will be placed in groups of 3-4. Each group will utilize the tools to build an anemometer in order to conduct their tests at various sites around the park.

Station #1 (20-30 minutes): Each group will be given the following tools: a stopwatch, 5 small cups, 3 wooden dowels, scissors, duct tape, a single hole punch, and a water bottle (more than one group can share the scissors, duct tape, and hole punch). Each group will construct an anemometer using the following steps. If a technological device is available, a video tutorial is also linked below:

Steps for Anemometer Construction:
Step 1: In 4 cups punch a single hole at the top of the cup. On the 5th cup punch 4 evenly spaced holes around the rim of the cup. Then using the scissors cut a small opening in the bottom of this cup.

Step 2: Take two of the dowels and put them through the holes of the 5th (center) cup so that they cross through the middle. Using the holes punched earlier place the remaining four cups on the ends of the wooden dowels.

Step 3: Secure each of the cups with duct tape to the dowels. Place the third wooden dowel through the bottom hole of the center cup and secure the three dowels with duct tape in the center. Also, secure the bottom dowel with duct tape to the bottom of the center cup.

Step 4: Place the center dowel into the water bottle and take to the desired location in order to gauge wind speed. Using a marker draw an “X” on one of the outer cups.
How to Calculate Wind Speed using an Anemometer:
Using a stop watch count how many rotations the anemometer makes by counting how many times the “X” passes in 30 seconds. Every spin is one mile-per-hour.

Station #2 (20 minutes): Each group will visit various sites around the Wright Brothers National Memorial and record the altitude of their location (using the altimeter) and the wind speed using their self-constructed anemometer. They will organize their data in a t-chart and determine whether the altitude or wind speed will represent the independent (x) and dependent (y) variable.

Station #3: (10-20 minutes): Each group will use the graph paper to create a graph and plot the points collected from their data. Students should then determine if a relationship exists between the bivariate data. If so, they will then determine if a positive or negative relationship exists.

### Vocabulary

Anemometer - An anemometer is a device used for measuring the speed of wind, and is also a common weather station instrument. The term is derived from the Greek word anemos, which means wind, and is used to describe any wind speed instrument used in meteorology.

Scatter plot - A graph in which the values of two variables are plotted along two axes, the pattern of the resulting points revealing any correlation present.

Line of correlation - When two sets of data are strongly linked together we say they have a High Correlation. The word Correlation is made of Co- (meaning "together"), and Relation. Correlation is Positive when the values increase together, and. Correlation is Negative when one value decreases as the other increases.

Bivariate data -  Bivariate data deals with two variables that can change and are compared to find relationships. If one variable is influencing another variable, then you will have bivariate data that has an independent and a dependent variable.

### Assessment Materials

Post-Visit:

After the visit, students should compare their data in order to determine the validity of their findings. As a group, the teacher should lead a discussion about if their findings substantiate the Weather Bureau’s records for wind speed at Kitty Hawk, North Carolina in 1903.

-  Why do you think that the Wright brothers chose to start their flight from ground level and not on top of Kill Devil Hill?

-  What advantages did the wind speed give the Wright brothers in terms of lift?

-  Why was it necessary to extend the wing length in order to gain adequate lift?

-  Before their successful flight, Wilbur and Orville had numerous failed attempts to achieve flight. What factors, do you feel attributed to these failed attempts?

### Enrichment Activities

After data has been collected and graphed, students should plot a line of best fit on the graph and then determine the equation of the line. Using the equation of the line they should predict the wind speed at various heights.

Websites:

https://www.loc.gov/collections/wilbur-and-orville-wright-papers/articles-and-essays/collection-highlights/kitty-hawk/