Professor Peabody solves the problem this way.


I start with enough paint in the can to cover 370 square feet. I paint 20 feet down the hallway, which covers an area of 160 square feet. That leaves 210 square feet worth of paint in the can.

That means I can paint at least another 20 feet down the hall. That covers another 160 square feet. Now I only have 50 square feet worth of paint left.

I can paint 6 more feet down the hall, since 6 8 = 48. That leaves just 2 square feet of paint in the can. Since there's not enough paint to cover another whole foot down the hall, I'll stop there. That means the remainder is 2 square feet worth of paint.
  1. How does Professor Peabody's solution compare to yours?
  2. Why did Professor Peabody subtract 370 – 160? What did he do with the answer to that subtraction?
  3. When did Professor Peabody decide he was done solving the problem? Do you agree that he finished the problem?
  4. Why is there a remainder? What does the remainder mean in the problem?

Use Professor Peabody's Rectangle Model to solve the problems on the How Far Down the Hall? pages in the Student Activity Book.