The document describes a science fair that will be held in an auditorium for three middle schools - Hart, Malcolm, and Kennedy. The space allocated to each school in the auditorium should be proportional to the number of students enrolled in each school, with Hart having about 1,000 students, Malcolm having about 600 students, and Kennedy having about 400 students. Students are asked to divide a rectangle representing the auditorium to show the space each school should receive based on enrollment, and to calculate the fraction and percentage of total space and costs each school should be allocated.

1. Name _____________________________________ Date ___________________
Teacher ______________________ Period _______ Common Task Unit #8
SCIENCE FAIR
Three middle schools are going to have a science fair. The science fair will be in an auditorium.
The amount of space given to each school is proportional to the approximate number of
students enrolled in each school. Hart Middle School has about 1,000 students; Malcolm
Middle School has about 600 students, and Kennedy Middle School has about 400 students.
A. The rectangle below represents the auditorium. Divide the rectangle to show the amount of
space each school should get based on the number of students they have enrolled. Clearly label
each section. Show all your computation and explain your reasoning.

2. B. What fraction of the total space available should each
school get based upon their enrollments? Show all work
and explain your reasoning.
C. If the schools share the costs of the science fair, based on the number of students enrolled,
what percent of the cost should each school pay? Show all of your work and explain your
reasoning.
D. If the cost of the science fair is $300.00, how much should each school pay? Show all of
your work; explain and justify your answer.

3. SCIENCE FAIR
(answer key)
http://www.isbe.net/ils/math/stage_G/6DG.pdf
A. The rectangle below represents the auditorium. Divide the rectangle to show the amount of
space each school should get based on the number of students they have enrolled. Clearly label
each section. Show all your computation and explain your reasoning.
B. What fraction of the total space available should each school get based upon their
enrollments? Show all work and explain your reasoning.
Hart Middle School ½
Malcolm Middle School 3/10
Kennedy Middle School 2/10 = 1/5
C. If the schools share the costs of the science fair, based on the number of students enrolled,
what percent of the cost should each school pay? Show all of your work and explain your
reasoning.
Hart Middle School 50%
Malcolm Middle School 30%
Kennedy Middle School 20%
D. If the cost of the science fair is $300.00, how much should each school pay? Show all of
your work; explain and justify your answer.
Hart Middle School $150
Malcolm Middle School $90
Kennedy Middle School $60
Hart Middle School Malcolm Middle School
50% 30%
Kennedy Middle School
20%