Homework 11 (due 2/28)

• Read the following article: Understanding Subtraction (part of section 3.1 from "Mathematics for Elementary School Teachers" by T. Bassarear, a link is available on the course schedule page).
• Answer the following question: Do you agree that "trading" (or "renaming" or "regrouping") is a better term than "carrying" or "borrowing"? Why or why not? If so, which term do you like most and why?
• Problem 1. Place the digits 1, 2, 3, 6, 7, 8 in the boxes shown below to obtain

  

  
  

  (a) the greatest possible difference;
  (b) the smallest possible positive difference.
  Explain your strategy!

• Problem 2. A mule and a horse were carrying some bales of cloth. The mule said to the horse, "If you give me one of your bales, I shall carry as many as you." "If you give me one of yours," replied the horse, "I will be carrying twice as many as you." How many bales was each animal carrying?
  Find as many different solutions as you can.