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Taking the Words Out of Word Problems
How to turn word problems into math problemsPart 3: Multiplication & Division
The Steps
Read the entire problem first.
Identify the people in the problem.
Identify their stuff
Draw unit bars
Read the problem again, one bit at a time, and label the unit bars.
Determine the question and illustrate it on the unit bar
Compute the problem
Write the answer as a complete sentence
First, a multiplication problem.
Tyrone had 5 letters to mail. He put 2 stamps on each letter. How many stamps did he use?
Tyrone had 5 letters to mail. He put 2 stamps on each letter. How many stamps did he use?
Read the entire problem first.Identify the people in the problem.Identify their stuff
Tyrone’s Stamps
Tyrone had 5 letters to mail. He put 2 stamps on each letter. How many stamps did he use?
Draw unit bars
Tyrone’s Stamps
Tyrone had 5 letters to mail. He put 2 stamps on each letter. How many stamps did he use?
Label the unit bars.
Tyrone’s Stamps 2 2 2 2 2
Tyrone had 5 letters to mail. He put 2 stamps on each letter. How many stamps did he use?
Illustrate the question
Tyrone’s Stamps 2 2 2 2 2 ?
Tyrone had 5 letters to mail. He put 2 stamps on each letter. How many stamps did he use?
Compute the problem
Tyrone’s Stamps 2 2 2 2 2 ?
5 • 2 = 10
Tyrone had 5 letters to mail. He put 2 stamps on each letter. How many stamps did he use?
5 • 2 = 10
Tyrone used 10 stamps
Tyrone’s Stamps 2 2 2 2 2 ?
Write the answer as a complete sentence
Now, a division problem. This should look really similar.
Ms Jefferson divided a batch of 24 cookies evenly for her 4 grandchildren. How many cookies did each of them get?
Ms Jefferson’s cookies
Read the entire problem first.Identify the people in the problem.Identify their stuff
Ms Jefferson divided a batch of 24 cookies evenly for her 4 grandchildren. How many cookies did each of them get?
Ms Jefferson’s cookies
Draw unit bars
Ms Jefferson divided a batch of 24 cookies evenly for her 4 grandchildren. How many cookies did each of them get?
Ms Jefferson’s cookies 24
Label the unit bars.
Ms Jefferson divided a batch of 24 cookies evenly for her 4 grandchildren. How many cookies did each of them get?
Ms Jefferson’s cookies 24
Illustrate the question
?
Ms Jefferson divided a batch of 24 cookies evenly for her 4 grandchildren. How many cookies did each of them get?
24 ÷ 4 = 6
Ms Jefferson’s cookies 24?
Compute the problem
Ms Jefferson divided a batch of 24 cookies evenly for her 4 grandchildren. How many cookies did each of them get?
24 ÷ 4 = 6
Each grandchild got 6 cookies.
Ms Jefferson’s cookies 24?
Write the answer as a complete sentence
Now try the rest on your own.
The Steps
Read the entire problem first.
Identify the people in the problem.
Identify their stuff
Draw unit bars
Read the problem again, one bit at a time, and label the unit bars.
Determine the question and illustrate it on the unit bar
Compute the problem
Write the answer as a complete sentence
Last month David and Mary saved some money in a ratio of 3:5. This month they saved an additional $154 together, and David now has three times as much money as he had last month while Mary has two times as much money as she had last month. How much money did they save last month?
