Problem Solving
How do you use what you have learned to problem solve?
Goal:
Goal:
Practice!
Goal: Apply what you have learned about factors to solve a word problem.
It is time to problem solve! Zoe is so excited about her amusement-park trip. Follow the problem-solving steps to help Zoe and Ava figure out how many game tokens they can take on their trip to the amusement park.
Word Problem Solving Steps
- Read the problem.
- Look for important information.
- Write the list of multiples.
- Choose a way to solve.
- Solve and label your answer.
Click through the slides to work through the word problem!
Read the problem.
Zoe has 14 game tokens, and Ava has 24 game tokens.
They want to take the same number of game tokens to the
amusement park. What is the greatest number of tokens
they can take?
The first step is to read. Then, read the problem again! It is helpful to read the problem as many times as you need to see all the important information!
Look for important information.
Zoe has 14 game tokens, and Ava has 24 game tokens.
They want to take the same number of game tokens to the
amusement park. What is the greatest number of tokens
they can take?
The problem has all the information you need. There are numbers, a key word, and a question. Identify the important information in the problem.
Click the Show Me button to see how you did!
Zoe has 14 game tokens, and Ava has 24 game
tokens. They want to take the same number of
game tokens to the amusement park. What is the
greatest number of tokens they can take? The
multiples is circled. The numbers 14 and 24 are
highlighted. The words same number and the words
greatest number is circled. The sentence What is
the greatest number of tokens they can take? is
underlined.
14 and 24 are the important numbers. “Same number” and “greatest number” are key words, and the last sentence, the question, is important information.
Write the list of multiples.
Zoe has 14 game tokens, and Ava has 24 game tokens.
They want to take the same number of game tokens to the
amusement park. What is the greatest number of tokens
they can take? The multiples is circled. The numbers 14
and 24 are highlighted. The words same number and the
words greatest number is circled. The sentence What is
the greatest number of tokens they can take? is
underlined.
Normally, we would write a math sentence, but this time we will make factor rainbows. Make factor rainbows to list all the factors for 14 and 24.
Click the Show Me button to see how you did!
A factor rainbow for the number 14. 1st arc 1
and 14, 2nd arc 2 and 7. Factor rainbow for the
number 24. 1st arc 1 and 24, 2nd arc 2 and 12,
3rd arc 3 and 8, 4th arc 4 and 6.
Choose a way to solve.
Zoe has 14 game tokens, and Ava has 24 game tokens.
They want to take the same number of game tokens to the
amusement park. What is the greatest number of tokens
they can take? The multiples is circled. The numbers 14
and 24 are highlighted. The words same number and the
words greatest number is circled. The sentence What is
the greatest number of tokens they can take? is
underlined.
Since we are using factor rainbows, we don’t have to choose our way to solve. We can circle the common factors between each number.
A factor rainbow for the number 14. 1st arc 1 and 14
(the 1 is circled.), 2nd arc 2 and 7 (the 2 is
circled.). Factor rainbow for the number 24. 1st arc 1
and 24 (the 1 is circled.), 2nd arc 2 and 12 (the 2 is
circled.), 3rd arc 3 and 8, 4th arc 4 and 6.
Solve and label your answer.
Zoe has 14 game tokens, and Ava has 24 game tokens.
They want to take the same number of game tokens to the
amusement park. What is the greatest number of tokens
they can take? The multiples is circled. The numbers 14
and 24 are highlighted. The words same number and the
words greatest number is circled. The sentence What is
the greatest number of tokens they can take? is
underlined.
Now, we need to solve and label our answer.
A factor rainbow for the number 14. 1st arc 1 and 14
(the 1 is circled.), 2nd arc 2 and 7 (the 2 is
circled.). Factor rainbow for the number 24. 1st arc 1
and 24 (the 1 is circled.), 2nd arc 2 and 12 (the 2 is
circled.), 3rd arc 3 and 8, 4th arc 4 and 6.
Now, find the common factors between both numbers.
Look at the common factors. Which is the greater number? We can label our answer by answering the following question:
The greatest common factor is:blank
Click the Show Me button to see how you did!
The greatest common factor is 2.
Question
How many game tokens can each girl take?
They can each take 2 game tokens.
Try to solve the next problems on your own. See if you can answer these problems from what you learned about the factors of 1 through 25 to identify the greatest common factor.
Mismatch Game
What is the greatest common factor of 7 and 21?
A factor rainbow for the number 7. 1st arc 1 and 7. A
factor rainbow for the number 21. 1st arc 1 and 21. 2nd
arc 3 and 7.
Remember to identify the common factors first, then find the greatest common factor that both numbers have in common.
Correct! 7 is the greatest common factor of 7 and 21.
Remember to identify the common factors first, then find the greatest common factor that both numbers have in common.
What is the greatest common factor of 5 and 25?
A factor rainbow for the number 5. 1st arc 1 and 5. A
factor rainbow for the number 25. 1st arc 1 and 25 . 2nd
arc 5 and 5.
Correct! 5 is the greatest common factor of 5 and 25.
Remember to identify the common factors first, then find the greatest common factor that both numbers have in common.
Remember to identify the common factors first, then find the greatest common factor that both numbers have in common.
You got # out of # correct. Click the Retry button for another attempt.
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