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

Student Version

### Shoelaces 1 - posted March 1, 2000

You will need to run the updater on your ESCOT runner. Please be advised that the graph in this activity may not work under specific conditions.

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.

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If you are using the Escot Runner, you may use the link below to download and try this problem.
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Most students were successful in their answers to the question about what shoelace length would be best for a shoe with 18 eyelets. Students ran into difficulty, however, in describing how to use the graph. We were fairly picky (my students said VERY picky) about how students were to explain this, but as a result, got some really good descriptions of how to use the graph to look up shoelace length given the number of eyelets.

We are sorry that some classes had technical difficulties with Shoelaces 1. It provided some good immediate feedback for those who did not have technical difficulties.

### Highlighted solutions:

 From: Jeni B., age 12 School: Issaquah Middle School, Issaquah, WA

```Page Plot and Fit
Plotted Points:
Plotted Points:
correct: (4, 46)
correct: (6, 69)
correct: (8, 91)
correct: (10, 102)
correct: (12, 114)
correct: (14, 137)
correct: (16, 160)
correct: (20, 183)

------------------------------------
Use your graph to answer these questions.

A) What length shoelace will best fit a shoe with 18 eyelets?
170cm

B)  You are going to display this graph in the shoelace department of As the
Shoe Fits. Write clear directions for customers which describe how to use the
graph to determine which length of shoelace to purchase.
When choosing your shoelace length, you can look at this graph to help you
find the perfect length. Take a look at your shoes. Count how many eyelets you
have on 1 of your shoes. Then, look at the graph, and find your amount under
the "eyelets" axis. Then, continue to go up the line of where your eyelets is
plotted, until you reach the line shown on the graph. Once you stop at the
line shown, look at the horizontal line that intersects with it. The number
written next to it under the "lengh" axis is the perfect length for your
shoelaces!
I found this works because it shows how many eylets you are going to have to
shoelace, and how much lace you will need. It also gives you shoelace left
over to tie a decent knot.

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

 From: Octavius J., age 13 School: Frisbie Middle School, Rialto, CA

```Page Plot and Fit
Plotted Points:
(12, 43)
correct: (4, 46)
Plotted Points:
Plotted Points:
Plotted Points:
Plotted Points:
Plotted Points:
Plotted Points:
Plotted Points:
Plotted Points:
Plotted Points:
Plotted Points:
Plotted Points:
Plotted Points:
Plotted Points:
Plotted Points:
Plotted Points:
Plotted Points:
Plotted Points:
(1, -4)
(13, 86)
(1, 5)
correct: (4, 46)
correct: (6, 69)
correct: (8, 91)
correct: (10, 102)
correct: (12, 114)
correct: (14, 137)
correct: (16, 160)
correct: (20, 183)
(4, 4)
Plotted Points:

------------------------------------
Use your graph to answer these questions.

A) What length shoelace will best fit a shoe with 18 eyelets?
I think that the length of a shoelace that will best fit a shoe with 18
eyelets is about 171 cenemeters.

B)  You are going to display this graph in the shoelace department of As the
Shoe Fits. Write clear directions for customers which describe how to use the
graph to determine which length of shoelace to purchase.
Look at the horizontal axis and find the eyelet number that best gos with your
shoe.Then you will go up vertically to the red line.Then go across to the left
to the vertical axis and read the numer of cm. that comes up.Make sure that
when you go to the vertical axis that you are going in a straight line.
------------------------------------
```

 From: Kris S., age 12Nick D., age 12 School: Issaquah Middle School, Issaquah, WA

```Page Plot and Fit
Plotted Points:
(12, 43)
correct: (4, 46)
Plotted Points:
Plotted Points:
Plotted Points:
Plotted Points:
correct: (4, 46)
correct: (6, 69)
correct: (8, 91)
correct: (10, 102)
correct: (12, 114)
correct: (14, 137)
correct: (16, 160)
correct: (20, 183)

------------------------------------
Use your graph to answer these questions.

A) What length shoelace will best fit a shoe with 18 eyelets?
170 cm.

B)  You are going to display this graph in the shoelace department of As the
Shoe Fits. Write clear directions for customers which describe how to use the
graph to determine which length of shoelace to purchase.
1.  find how many eyelets there are in you shoe.
2.  Look at the graph.
3.  The number of eyelets are shown on the x axis.
4.  find the number.
5.  Find where the red line intersects with your number of eyelets.
6.  Then follow it over to where the numbers on the Y axis are.
7.  That is the lenght that your shoelace should be.

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

### 53 students received credit this week.

Jenni A., age 14 - Issaquah Middle School, Issaquah, WA
Julie A., age 13 - Issaquah Middle School, Issaquah, WA
Nelson A., age 12 - Issaquah Middle School, Issaquah, WA
Danielle B., age 13 - Issaquah Middle School, Issaquah, WA
Jeni B., age 12 - Issaquah Middle School, Issaquah, WA
Keturah B., age 13 - Frisbie Middle School, Rialto, CA
Nicole B., age 13 - Issaquah Middle School, Issaquah, WA
Allen C., age 12 - Issaquah Middle School, Issaquah, WA
Douglas C., age 12 - Issaquah Middle School, Issaquah, WA
Nick C., age 14 - Issaquah Middle School, Issaquah, WA
Shannon C., age 12 - Issaquah Middle School, Issaquah, WA
Cameron D., age 13 - Issaquah Middle School, Issaquah, WA
Chanelle D., age 13 - Frisbie Middle School, Rialto, CA
Katie D., age 13 - Issaquah Middle School, Issaquah, WA
Lauren D., age 13 - Issaquah Middle School, Issaquah, WA
Nick D., age 12 - Issaquah Middle School, Issaquah, WA
Richard M. F., age 13 - Issaquah Middle School, Issaquah, WA
Adam G., age 12 - Issaquah Middle School, Issaquah, WA
Brianna G., age 12 - Issaquah Middle School, Issaquah, WA
Christian G., age 13 - Issaquah Middle School, Issaquah, WA
Claudia G., age 12 - Frisbie Middle School, Rialto, CA
Greg H., age 12 - Issaquah Middle School, Issaquah, WA
Jennifer H., age 12 - Issaquah Middle School, Issaquah, WA
Jacque J., age 13 - Issaquah Middle School, Issaquah, WA
Octavius J., age 13 - Frisbie Middle School, Rialto, CA
Christopher L., age 13 - Issaquah Middle School, Issaquah, WA
Kevin L., age 14 - Issaquah Middle School, Issaquah, WA
Larry L., age 13 - Issaquah Middle School, Issaquah, WA
Melissa L., age 14 - Issaquah Middle School, Issaquah, WA
Michelle L., age 13 - Issaquah Middle School, Issaquah, WA
Aaron M., age 12 - Issaquah Middle School, Issaquah, WA
I M., age 4 - Issaquah Middle School, Issaquah, WA
Jill M., age 13 - Issaquah Middle School, Issaquah, WA
Megan M., age 12 - Issaquah Middle School, Issaquah, WA
Megan N., age 13 - Issaquah Middle School, Issaquah, WA
Tanja N., age 13 - Issaquah Middle School, Issaquah, WA
Nathan O., age 12 - Issaquah Middle School, Issaquah, WA
Joslyn R., age 12 - Issaquah Middle School, Issaquah, WA
Rebecca R., age 14 - Issaquah Middle School, Issaquah, WA
Sam R., age 13 - Issaquah Middle School, Issaquah, WA
Tyler R., age 12 - Issaquah Middle School, Issaquah, WA
Courtney S., age 14 - Issaquah Middle School, Issaquah, WA
Darbi S., age 13 - Issaquah Middle School, Issaquah, WA
Kris S., age 12 - Issaquah Middle School, Issaquah, WA
Sarah S., age 12 - Issaquah Middle School, Issaquah, WA
Shambria S., age 13 - Frisbie Middle School, Rialto, CA
Jose T., age 13 - Issaquah Middle School, Issaquah, WA
Robert V., age 13 - Frisbie Middle School, Rialto, CA
Brooke W., age 14 - Issaquah Middle School, Issaquah, WA
Eric W., age 13 - Issaquah Middle School, Issaquah, WA
Jenna W., age 13 - Issaquah Middle School, Issaquah, WA
Shelby Y., age 12 - Issaquah Middle School, Issaquah, WA

#### View most of the solutions submitted by the students above

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