Gold Seal Lesson:
If The Shoe Fits...

Copernicus Education Gateway

 

Subject:

 

Mathematics

Grade:

 

 

9-12

 

 

 

ICLE Standards:

 

 

Reading - locate, understand, and interpret written information

Mathematics - perform basic computations and approach practical problems by choosing appropriately from a variety of mathematical techniques

Interpersonal - participate as a member of a team and contribute to group effort

 

 

 

Performance Task:

 

 

Amos works in the men's department of a local department store. He asked his supervisor how she knows how many garments of each size to buy. His supervisor explained that the decision to order certain numbers of a particular size was based on the normal distribution of sizes for the population.

The purpose of this activity is to have students collect and graph information according to the frequency of a single factor and draw conclusions based on the results.

Procedure:

  1. Form teams with four members in each team. Each team member will be responsible for surveying 25 adolescent and adult males for their shoe size.

  2. Each team member will organize the data of the entire team by the frequency of shoe size in a table like the one below.

  3. Combine your team's data with the rest of the teams into one table like the one above.

  4. Using a computer and a spreadsheet program, transpose the class data to the spreadsheet.

  5. Using the graphing function of the spreadsheet, prepare a bar graph of the collected data. Use the x-axis for the shoe size and the y-axis for the frequency.

  6. Print the graph and analyze the results.

  7. Draw conclusion concerning the frequency of a single factor in a given population.

  8. Based on the data in the graph, what assumptions can you make concerning using this process to buying shoes to sell in a department store?

Materials needed: 
Computer
Spreadsheet program

 

 

 

Knowledge / Skills:

 

 

Understand the best procedures for statistical data collection, organization, and display.  (m5)

Understand the characteristics of measures of dispersion (i.e., range, mean deviation, variance, and standard deviation).  (m36)

 

 

 

Rubric:

 

 

4 Points  =  The student contributed to the group effort by asking 25 adult and adolescent males their shoe size. He or she could organize the group's data in a table and the class data into a table. The student could transpose the class data into a computer spreadsheet and accurately bar graph the data. He/she could compare the curve of the graph to a normal distribution curve and note the resemblance. The student analyzed the graph and could conclude the number of each shoe size to order for the department store to sell.

 

 

3 Points  =  The student contributed to the group effort by collecting the shoe size from at least 20 adult and adolescent males. He or she could organize the group's data in a table and the class data in a table with some help from the teacher and/or peers. The student could transpose the data into a computer spreadsheet but needed help in preparing the bar graph. He or she could see the resemblance between his/her graph to a normal distribution curve. The student, with some coaching, analyzed the graph and could conclude the number of each shoe size to order for the department store to sell.

 

 

2 Points  =  The student did not fully contribute to the group effort as demonstrated by not surveying more than 10 individuals. He or she relied on others to organize the data into tables. He/she could transpose the data to a computer spreadsheet but required considerable extra help in preparing a bar graph. The student could not see the resemblance between the bar graph and a normal distribution curve. He or she was not able to accurately determine the number of shoes to order for the department store to sell.

 

 

1 Point  =  The student did not complete the project and demonstrated very little understanding of this process.

 

 

 

Keywords:

 

 

STATISTICS
DATA ANALYSIS
DATA COLLECTION
GRAPHS
INFERENCE
NORMAL DISTRIBUTION
SURVEYS
TABLES
TECHNOLOGY INTEGRATION

 

 

 

Grades:

 

 

Kg [] - 1 [] - 2 [] - 3 [] - 4 [] - 5 [] - 6 [] - 7 [] - 8 [] - 9 [X] - 10 [X] - 11 [X] - 12 [X]

 

 

 

ICLE Application:

 

 

D

 

 

 

 

 

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