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Challenge Word Problems
jOb ective Test students understanding through word problems.

1. Textbook Instructions Challenge Word Problems

Like all previous word problems, approach 1. Ricky has 50 pieces of paper. He gives 1 of his pieces of paper to
these first by reading them and highlighting the 5
important parts of the problem. Have students
focus on English that makes up the word Ann and 40% of the remaining pieces of paper to Kate.
problem and make sure they understand what is
going on. How many pieces of paper does Ricky have now?

1. Have students solve these problems with a 4 1
partner. Remind them that the total changes 5 5
after each step, so they need to look at the
whole problem as a series of smaller ones. 40 pieces

Point out that these longer problems can 60% 40%
be solved individually as long as you 24 pieces
account for things like the changing total of
paper. How many pieces of paper does Ricky have after giving 1 of his pieces of
5
paper to Ann?

pieces of paper Ricky has = 50 (1 1 )
5

= 50 4
5

= 40 (pieces)

How many pieces of paper does Ricky have after giving 40% of the
remaining pieces of paper to Kate?

pieces of paper Ricky has = 40 (100% 40%)

= 40 60%

= 40 60
100

= 24 (pieces)

128

2. Build Understanding

When dealing with fractions, it is important to remember that all numbers can be viewed in the following way:

8 8 . So, if you wanted to know what 1 of 8 was, you would have a problem that says 8 1
1 4 1 4
8 1 8
which is the same as 1 4 . Since 1 x x, you can shorten the equation to 4 , which is 2.

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