#### A Math Forum Project

 ESCOT Problem of the Week: Archive of Problems, Submissions, & Commentary

### January 2000 - May 2000

1. Rock, Paper, Scissors I - posted January 4, 2000
In this activity you will observe a simulation of the Rock, Paper, Scissors game and tell us what you think about its fairness.

2. Rock, Paper, Scissors II - posted January 11, 2000
In this activity you will observe a simulation of the Rock, Paper, Scissors game and tell us what you think about its fairness.

3. Rock, Paper, Scissors III - posted January 19, 2000
In this activity you will observe a simulation of the Rock, Paper, Scissors game and tell us what you think about its fairness.

4. Rock, Paper, Scissors IV - posted January 26, 2000
This week we will again be playing a three-person game of Rock, Paper, Scissors.

5. Earthquake 1 - posted February 1, 2000
In this series of four problems, you play the role of a scientist trying to determine the location of the epicenter of an earthquake. In the first week's problem, you read time, distance, and rate from a graph.

6. Earthquake 2 - posted February 8, 2000
In this series of four problems, you play the role of a scientist trying to determine the location of the epicenter of an earthquake. In the second week's problem, you find and use distance-rate-time functions.

7. Earthquake 3 - posted February 15, 2000
In this series of four problems, you play the role of a scientist trying to determine the location of the epicenter of an earthquake. In this week's problem, we find the difference in arrival times of the two waves at the scientist's seismograph.

8. Earthquake 4 - posted February 21, 2000
In this series of four problems, you play the role of a scientist trying to determine the location of the epicenter of an earthquake. In the this final week's problem, you find the location of the epicenter of an earthquake.

9. Shoelaces 1 - posted March 1, 2000
In this simulation, you are an analyst for a local shoe store. Use your graphing skills to make predictions and help customers choose the best shoelace length.

10. Shoelaces 2 - posted March 15, 2000
In this simulation, you will apply your graphing skills to help workers choose ribbon lengths when they gift-wrap packages.

11. Shoelaces 3 - posted March 27, 2000
In this simulation, you will learn about y-intercept and what it represents.

12. Pi Machine 1 - posted April 6, 2000
Approximate pi by estimating the ratio of darts, thrown randomly at a dart board, that land inside the circle, to those that land outside.

13. Pi Machine 2 - posted April 14, 2000
This week we will investigate the relation between the radius and area of circles using a simulation with two concentric circles.

14. Pi Machine 3 - posted April 29, 2000
Experiment with the length of the radius of the inner circle so that half of the points fall inside the inner circle, and the other half fall in the outer circle.

15. Pi Machine 4 - posted May 10, 2000
Experiment with a fish in a spherical bowl to get a feeling for pi.

16. Search and Rescue - posted May 16, 2000
Based on a helicopter flight school theme, this four-page activity addresses the mathematical concepts of degrees and angles. Students are asked to find appropriate headings and distances in order to reach specific destinations.