#### A Math Forum Project

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

Student Version

### Shoelaces 2 - posted March 15, 2000

Try Shoelaces 1 before you do this problem.
In this simulation, you will apply your graphing skills to help workers choose ribbon lengths when they gift wrap packages.

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In Shoelaces 2, we wanted students to think about the qualities of a good window for graphing.

When graphing with a graphing calculator, it is always beneficial to students to think about what a good window would be for viewing their data. Similarly on paper, we want them to think before they graph, having their scale be determined by characteristics of the data they're graphing, rather than by the characteristics of the paper.

### Highlighted solutions:

 From: Scott F., age 13Josh H., age 12 School: Issaquah Middle School, Issaquah, WA

```Page Line Fit

1. What length of ribbon do you need for a box with a dimensional sum of 3cm?

2. What length ribbon do you need for a box with a dimensional sum of 70cm?

3. Polly is willing to wrap packages with dimensional sums ranging from 3cm to
70cm. What maximum X and maximum Y values  would you use on a graph to help
her employees choose ribbon lengths for packages? Explain how you chose this
scale. 70 and 170  I put the max values she could wrap on the x axis then i
put the line of best fit on.  then i made it big enough to see.

------------------------------------
```

### 4 students received credit this week.

Karen F., age 14 - Issaquah Middle School, Issaquah, WA
Scott F., age 13 - Issaquah Middle School, Issaquah, WA
Josh H., age 12 - Issaquah Middle School, Issaquah, WA
Kelly M., age 13 - Issaquah Middle School, Issaquah, WA