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Juice containers


Part 1.
Pretend not to know any algorithms for computing with fractions and explain how to use a model to answer the following questions.

  1. If 7 containers hold 4 gallons of juice, how many gallons does 1 container hold?
  2. I have 4 gallons of juice. If a container holds 7 gallons, how many containers can I fill?
  3. If 7 containers hold  gallons of juice, how many gallons does 1 container hold?
  4. I have gallon of juice. If a container holds 7 gallons, how many containers can I fill?
  5. If 7 containers hold  gallons of juice, how many gallons does 1 container hold?
  6. I have gallon of juice. If a container holds 7 gallons, how many containers can I fill?

What are the similarities and differences between the problems?

Part 2.
Using a different context, write word problems for the following division expressions and then use a model to demonstrate the process of finding the correct answer.





Extension:
Notice that the numbers used above were relatively prime. What happens to the process when the numbers are no longer relatively prime? Create a sequence of 3 word problems and use a model to explore the process of finding correct answers.

   

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