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Unit 2 WebQuest - Internet Project

The Spirit of the Games

Introduction | Task | Process | Guidance | Conclusion | Questions

Introduction
     The first Olympic Games featured only one event - a foot race. The 2004 Games will include thousands of competitors in about 300 events. In this project, you will explore how linear functions can be illustrated by the Olympics.

The Task
In your new job as a sports writer for a local newspaper, you have been assigned to write an article comparing men's and women's times in a timed Olympic event. Your article needs to contain the following information:

  • a brief history of the event including the names of participants that were well-known or in some way unique, and anything unusual that may have happened over the years;
  • the winning times for men and women in the same timed event, such as a swimming or a running event;
  • graphs of the times over the years for the event;
  • a prediction for whether the men's and women's time will ever be approximately the same.

The Process
To successfully complete this project, you will need to complete the following items.

Guidance
Here are some additional questions and ideas you may want to consider for your project.

  1. How have the winning times for the event you chose changed over the years?
  2. When do you think the times will be at the lowest? Is there a limit to the length of time needed to complete the event?
  3. How do timed events differ from other Olympic events?
  4. Have the Olympics always been held every four years? Why or why not?

Conclusion
Here are some ideas for concluding your project.

  • Present your article to your school newspaper for publication, if possible.
  • Present the information on a Web page. Have other students critique your project and help you to make improvements to your project.
  • Compile all of the articles from your class into a newspaper. Publish it using desktop publishing software.

Questions

Lesson 4–6
The table shows the winning times, in seconds, for the women's Olympic 400–meter freestyle swimming event.

data table

  1. To make graphing easier, change the year to Years Since 1924. So, 1924 will be 0, 1928 will be 4, and so on. Write the ordered pairs (years since 1924, winning time).
  2. Graph the ordered pairs.
  3. Is the relation you graphed in part b a function? Explain why or why not.
Lesson 5–7
Refer to the Exercise in Lesson 4–6 that shows the table of winning times for the women's Olympic 400–meter freestyle swimming event.
  1. Draw a line of fit for the scatter plot of the data, where x represents the years since 1924 and y represents the winning times in seconds.
  2. Write an equation for a line of fit.
Lesson 6–6

Chart

The graph shows the winning times for the women's Olympic 200–meter butterfly. An equation for the best–fit line is y = -0.4x + 138.

  1. Write an inequality for all points that lie below the best–fit line. What does this inequality represent?
  2. Write an inequality for all points that lie above the best–fit line. What does this inequality represent?
Lesson 7–1
The table shows the winning times, in seconds for the men's Olympic 400–meter freestyle swimming event.

data table

  1. To make graphing easier, change the year to Years Since 1924. So, 1924 will be 0, 1928 will be 4, and so on. Make a scatter plot of the ordered pairs (years since 1924, winning time). Draw a line of best–fit for the data.
  2. On the same coordinate plane draw the line of best–fit for the women's winning times you graphed in the Exercise in Lesson 5–7.
  3. Will the winning times for the men's and women's events ever be approximately the same? Why or why not?
  4. If the times will be about the same, in what year would that be?

 


 
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