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.
- If 7 containers hold 4 gallons of juice, how many gallons does 1 container hold?
- I have 4 gallons of juice. If a container holds 7 gallons, how many containers can I fill?
- If 7 containers hold gallons of juice, how many gallons does 1 container hold?
- I have gallon of juice. If a container holds 7 gallons, how many containers can I fill?
- If 7 containers hold gallons of juice, how many gallons does 1 container hold?
- 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.
Submit your idea for an investigation to InterMath. |