Problem Solving
How do you use what you have learned to problem solve?
Goal:
Goal:
Practice!
Goal: Apply what you have learned about multiplying with input and output tables to solve a word problem.
Can you use an input and output table to solve a word problem? You will need a piece of lined paper. Follow the problem-solving steps to find the answer. Then click the tabs to see how!
Logan wants to buy 6 Adventure Land hats for his family. Each hat costs 5 dollars. How much will the hats cost in all?
Word Problem Solving Steps
- Read the problem.
- Look for important information.
- Write a math sentence.
- Choose a way to solve.
- Solve and label your answer.
Read the Problem
Logan wants to buy 6 Adventure Land hats for his family. Each hat costs 5 dollars. How much will the hats cost in all?
The first step is to read. Write down the problem. Then read the problem again! It is helpful to read the problem as many times as you need to in order to see all of the important information!
Find the Important Information
Logan wants to buy 6 Adventure Land hats for his family. Each hat costs 5 dollars. How much will the hats cost in all?
Now look for the important information. Highlight any important numbers, and circle helpful key words. It also helps to underline the question. Click the Show Me button to see!
Logan wants to buy 6 Adventure Land hats for his family. Each hat costs 5 dollars. How much will the hats cost in all? The 6 is highlighted in red, the word each is circled. the number 5 is highlighted in yellow. How much will the hats cost in all is underlined. In all is also circled.
6 and 5 are the important numbers. The key words “each” and “in all” tell you to multiply. The question is the last sentence in the problem. It asks how much the hats will cost in all.
Write an Equation
Logan wants to buy 6 Adventure Land hats for his family. Each hat costs 5 dollars. How much will the hats cost in all? The 6 is highlighted in red, the word each is circled. the number 5 is highlighted in yellow. How much will the hats cost in all is underlined. In all is also circled.
6 and 5 are the important numbers. The word problem wants you to multiply. The number of hats is the number of groups. The cost of each hat is the number in each group. Write a multiplication equation underneath the word problem on your paper. Click the Show Me button to see how you did!
Choose a Way to Solve
Logan wants to buy 6 Adventure Land hats for his family. Each hat costs 5 dollars. How much will the hats cost in all? The 6 is highlighted in red, the word each is circled. the number 5 is highlighted in yellow. How much will the hats cost in all is underlined. In all is also circled.
6 times 5 is the correct equation! There are 6 hats, and each hat costs 5 dollars. Create a horizontal input and output table like this one on your paper:
Column 1 Table Row Header, Row 1 Number of Hats, Row 2 Cost
Column 2, Row 1 and Row 2 are blank
Column 3, Row 1 and Row 2 are blank
Column 4, Row 1 and Row 2 are blank
Column 5, Row 1 and Row 2 are blank
Column 6, Row 1 and Row 2 are blank
Column 7, Row 1 and Row 2 are blank
Column 8, Row 1 and Row 2 are blank
Column 9, Row 1 and Row 2 are blank
Rule: \({\times}\)blank
Did you notice that instead of "Input," the table says "# of Hats"? # means number. The number of hats is the input value. It is the number of groups, or the first factor. The table has "Cost" instead of "Output." That is because the total cost is the answer you want to find, or the product. You can replace "Input" and "Output" with labels from the word problem. It will help you find the answer to the question quicker and easier!
To use the input and output table, find the rule and fill out the input row. Write the rule after the \({\times}\), and fill out the input row, starting with 1 on the left. Click the Show Me button to check your work!
Column 1 Table Row Header, Row 1 Number of Hats, Row 2 Cost
Column 2, Row 1 and Row 2 are blank
Column 3, Row 1 and Row 2 are blank
Column 4, Row 1 and Row 2 are blank
Column 5, Row 1 and Row 2 are blank
Column 6, Row 1 and Row 2 are blank
Column 7, Row 1 and Row 2 are blank
Column 8, Row 1 and Row 2 are blank
Column 9, Row 1 and Row 2 are blank
Rule: \({\times 5}\)blank
5 is the second factor, and the rule is to multiply by 5. The input row starts at 1 and ends at 8.
Solve and Label Your Answer
Logan wants to buy 6 Adventure Land hats for his family. Each hat costs 5 dollars. How much will the hats cost in all? The 6 is highlighted in red, the word each is circled. the number 5 is highlighted in yellow. How much will the hats cost in all is underlined. In all is also circled.
\({6 \times 5 = ?}\)
Column 1 Table Row Header, Row 1 Number of Hats, Row 2 Cost
Column 2, Row 1 and Row 2 are blank
Column 3, Row 1 and Row 2 are blank
Column 4, Row 1 and Row 2 are blank
Column 5, Row 1 and Row 2 are blank
Column 6, Row 1 and Row 2 are blank
Column 7, Row 1 and Row 2 are blank
Column 8, Row 1 and Row 2 are blank
Column 9, Row 1 and Row 2 are blank
Rule: \({\times 5}\)blank
The table has a \({\times 5}\) rule. The input row starts at 1 and ends at 8. To find the outputs, the costs, multiply each input by 5. You can write a multiplication sentence above each column. You can also skip count by 5s to find the outputs. Fill out the output row. Click the Show Me button to see how you did!
Column 1 Table Row Header, Row 1 Number of Hats, Row 2 Cost
Column 2, Row 1:1 Row: 5
Column 3, Row 1:2 Row 2:10
Column 4, Row 1:3 Row 2:15
Column 5, Row 1:4 Row 2:20
Column 6, Row 1:5 Row 2:25
Column 7, Row 1:6 Row 2:30
Column 8, Row 1:7 Row 2:35
Column 9, Row 1:8 Row 2:40
Rule: \({\times 5}\)blank
Daniel wants to buy 6 hats. Use the table to find out how much they will cost. Then, write the correct missing factor with the label word that answers the question. Write them below your multiplication sentence.
Question
How much will the hats cost in all?
The hats will cost 30 dollars in all.
Now use the steps to try this out on your own!
Read and Solve
Read the word problem below. Use the input and output table to find the product of the multiplication sentence. Choose the correct answer with the correct label word.
Daniel wants to buy his friends 8 key chains. Each key chain costs 3 dollars. How much will the key chains cost in total?
\({8 \times 3 = ?}\)
Row 1, Column 1: Number of Chains, Column 2: Cost
Row 2, Column 1: Blank, Column 2: Blank
Row 3, Column 1: Blank, Column 2: Blank
Row 4, Column 1: Blank, Column 2: Blank
Row 5, Column 1: Blank, Column 2: Blank
Row 6, Column 1: Blank, Column 2: Blank
Row 7, Column 1: Blank, Column 2: Blank
Row 8, Column 1: Blank, Column 2: Blank
Row 9, Column 1: Blank, Column 2: Blank
Table Rule \({\times 3}\)
Dollars
Dollars
Keychains
Put 1 through 8 in the input column. Multiply each row by 3 to get the outputs. Find out how much 8 key chains cost, and use the correct label word.
Correct! You used the input and output table to solve \({8 \times 3 = 24}\)
Put 1 through 8 in the input column. Multiply each row by 3 to get the outputs. Find out how much 8 key chains cost, and use the correct label word.
You got # out of # correct. Click the Retry button for another attempt.
You got a perfect score. Great job!