The National Math Trail

North Brookfield Elementary School


Names: Corey Lavallee and Paul Ahearn
Grades: 3rd and 4th grade students, advanced learners program
Description: Quaboag employs a lot of people in our town and helps the town's income so we decided to do our project on it.
Concepts: Whole number operations.
Grade level 4th-5th
Curriculum Framework Learning Standards 1) Construct number meaning by using manipulatives and other physical materials to represent concepts of numbers in the real world.
2) Interpret the multiple uses of numbers by taking real-world situations and translating them into numerical statements.
3) Know when to use the operations of addition, subtraction, multiplication and division; and describe their relationships.
4) Determine when an estimate is appropriate.
5) Apply estimation when working with quantities, measurement, and computation.
6) Use calculators in appropriate computational situations.

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Quaboag Corporation is located on School St. in North Brookfield, Massachusetts. This is the largest business in our town and many citizens work there. This company supplies manufacturers of shoes and boots with outer rubber soles. The making of soles begins with raw materials (rubber) which are mixed and developed into Quaboag’s own compounds. About 140,000 pairs of soles are made each week! Roughly 230 employees work at Quaboag. These employees work a 3-shift operation. Sometimes there is a need to work more than the 8-hour shift to meet customer needs and deadlines.


This company also has a production cycle. This cycle starts by the lab making the compound. Then that is mixed in the mixing department in a huge machine. Next it is taken to the preform department where it is made into small pieces ready to press. Then the Molding Department presses the pieces into molds using 53 presses. Last the Trimming area trims the excess rubber from the soles. Finally, this gets inspected and packed. The product is ready for shipping. The kinds of companies Quaboag Corporation sell soles to include: Neos, Winebrenner, Red Wing, Wolverine, Timberline, Bass, and Colorado. The company used to mix compounds for other companies (like Gerber) to make their own products (baby bottle nipples). Quaboag Corporation was once called Quaboag Rubber Company. We chose this place because Corey’s father works there. We also thought it would be interesting to pick this topic.


Math Problem:

 

Quaboag Rubber Company produced 871,293 pounds of rubber and sold it to three companies. Company A bought 33,098 pounds, Company B bought 225,152 pounds and Company C bought 393,192 pounds. How many pounds of rubber were left over?

Answer: 219,851 pounds of rubber


Math Problem

Quaboag made 20,000 extra deliveries to other companies and made a profit of $5,000,000. How would they divide the money among 242 workers when the company kept half of the profit? About how much money would each worker receive?

Answer: $10,330.57 each

 

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