Saving the Sports Complex Algebra Project
Posted by David Wetzel
An algebra project focusing on a theme which interests students is more likely to engage them in the project, so lets take a look at sports. Many students participate in sports at some level, whether as part of a school team or a community team.
For the most part these same students do not understand the costs involved to host the sport. Also, they do not understand how much money is needed to ensure a profitable season so the sport can continue from year to year.
Sports Complex Project
This project is designed for using algebra as a basis for comparing expenses and income at a youth athletic complex to determine profitability.
Math students need to decide which fund raising activities will help their sports complex remain profitable.
The sports complex is not making enough money this year from concession stand sales to keep the complex open the last two months of this year’s sports season. The committee overseeing the sports complex project a $1,000.00 shortfall in funds to pay for lights, grass cutting, and maintenance.
Some members of the committee want to start a charging a $1.00 admission fee to everyone who enters the complex, this includes all fans and participants.
After much debate, the sports complex committee have decided to hold a carnival to avoid charging an admission fee. They also decided on the following two options for charging admission and ticket prices for the carnival.
- Option 1: $1.00 admission and $.25 per ticket.
- Option 2: no admission and $.50 per ticket.
Problem
Which of these two options will help raise enough money to avoid charging admission to everyone who uses the sports complex?
Facts needed to solve the problem:
- The sports complex committee has limited expenses to $600.00.
- An inflatable bungee run costs $250.00 to rent for rent for one day.
- A dunk tank costs $100.00 to rent for one day.
- A cotton candy machine costs $50.00 to rent for one day.
- An inflatable slide costs $100.00 to rent for one day.
Solving the Problem Complete the following to solve the problem. List at least 10 activities, including food booths, games, and rides. Other possibilities include food donations and activities which can be easily made such as a softball toss, soccer kick contest, baseball toss, basketball toss, or football toss.
Use Bubbl.us mapping software to create a organizational map to help solve the problem. Use the following as a guideline for solving the problem:
- For each option listed above, write equations to find the profit “y” of selling “x” tickets.
- What is the profit or loss for ticket sales based on attendance of 200 people, 300 people, and 400 people?
- Graph the equations.
- At what point, if any, will Option 1 and Option 2 be equal?
- Which option is the best for solving the problem and ensuring at least a $1,000.00 profit?
Alternative Solution
If Option 1 or Option 2 will not raise enough money to cover expenses and ensure enough profit to avoid an admission fee to the sports complex for everyone, what option to recommend to the sports complex committee to ensure the carnival raises enough money?
Survey
Create a survey using Google Docs Survey which which will be used to obtain a rough estimate of the number of people who will attend the carnival.
Presentation
Present your findings and recommendations to your classmates using one of the two following methods:
- Present your findings to you class using Google Docs Presentation.
- post your findings on the class Wiki for your class to view and parents can see. Ask for feedback and recommendations from all those who few your project findings on the class Wiki.
Project based learning in algebra allows students to transfer math knowledge to situations outside the classroom. Also the use of projects is often a motivational factor for students to learn algebra, as opposed to considering algebra as something they will never use in their lives.
Additional Readings on Project Based Learning in Math
Teaching Algebra: making Real World Connections
