Which 3 go together?

Clare, Elena, and Andre make macramé (MAA-kruh-may) friendship bracelets. They’d like their bracelets to be inches long. For each question, explain or show your reasoning.

1. Clare starts her bracelet first and has only inch left until she finishes it. How long is her bracelet so far?

2. So far, Elena’s bracelet is inches long and Andre’s is inches long. How many more inches do they each need to reach inches?
3. How much longer is Elena’s bracelet than Andre’s bracelet?

Here are 4 expressions that you may have written about the friendship bracelets.

1. Here is one way to find the value of the first expression. Look closely at the calculation. Talk to your partner about why is written as different sums.

   

   Subtract. 9 and 4 eighths minus 7 eighths. Under first number. Line 1, 9 and 4 eighths. Line 2, 8 plus 1 plus 4 eighths. Line 3, 8 plus 8 eighths plus 4 eighths. Line 4, 8 plus 12 eighths. Under second number, 7 eighths. Bottom section. Line 1, 8 plus 12 eighths minus 7 eighths. Line 2, 8 plus 5 eighths. Line 3, 8 and 5 eighths.

2. Here are some unfinished calculations. Complete them to find the value of each difference.

   

   Subtract. 9 and 4 eighths minus 5 and 1 eighth. Under first number. Line 1, 9 and 4 eighths.  Line 2, 9 plus 4 eighths. Under second number. Line 1, 5 and 1 eighth. Line 2, 5 plus 1 eighth.

   

   Subtract. 9 and 4 eighths minus 3 and 5 eighths. Under first number. Line 1, 9 and 4 eighths. Line 2, 8 plus 1 plus 4 eighths. Line 3, 8 plus 8 eighths plus 4 eighths. Line 4, 8 plus 12 eighths. Under second number. Line 1, 3 and 5 eighths. Line 2, 3 plus 5 eighths. 

   

   Subtract. 5 and 1 eighth minus 3 and 5 eighths. Under first number. Line 1, 5 and 1 eighth. Line 2, 5 plus 1 eighth. Under second number. Line 1, 3 and 5 eighths. Line 2, 3 plus 5 eighths.