Unit 2 WebQuest - Internet Project
| The Spirit of the Games |
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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.
- How have the winning times for
the event you chose changed over the years?
- 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?
- How do timed events differ from
other Olympic events?
- 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.
- 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).
- Graph the ordered pairs.
- 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.
- 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.
- Write an equation for a line of
fit.
Lesson 6–6
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.
- Write an inequality for all points
that lie below the best–fit line. What does this inequality
represent?
- 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.
- 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.
- 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.
- Will the winning times for the
men's and women's events ever be approximately the same?
Why or why not?
- If the times will be about the
same, in what year would that be?
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