Tutorial Main Menu > SRA > Standard 4.4

NJPEP Small Logo

Classroom A  c  

Classroom B  c

 Media Center  c
Classroom C  c

The technology teacher would like to network 3 different classrooms (A, B, and C) and the media center, so that each classroom is connected to the media center and to each other. One connection runs both ways between classrooms, so once classroom A is connected to classroom B, B is also connected to A.

A) Altogether, how many connections will need to be made for the computer network to be completed between the 3 classrooms and the media center? List all the possible connections and draw a diagram showing all the connections.

B) After starting with 3 classrooms, more connections are added and by the end of the month there are 15 connections in all. All connections are made for each classroom before adding another. What is the total number of classrooms that are connected to each other and to the media center? List all the possible connections, or draw a diagram showing all the connections.

C) Study the table below and complete the duplicate table provided for your use on the following page. Write a formula or rule, in terms of n, that represents the pattern used to determine the number of connections needed for n classrooms to be connected to the media center and each other. Be sure to write your answers on the duplicate chart provided.

# of classrooms
# of connections
1
?
2
?
3
?
4
?
5
?
6
?
7
?
•
•
•
•
•
•
n
?

D) Use your formula from Part C to show the number of connections if 10 classrooms are to be networked.

 

Materials/Resources:

  • Calculator
  • HSPA Mathematics Reference Sheet

Techniques for PAT Scoring:
See item-specific sample response and scoring rubric D1606-006R for this PAT.

NJPEP: Virtual Academy
Designed by the faculty at FDU's School of Education in partnership with the consultants of IDE Corp.