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Prime Time Investigation 3.3 “Bagging Snacks”

Prime Time Investigation 3.3 “Bagging Snacks”. Seven students are going to a game. Sara is in charge of buying the snacks for the trip. Each person wants two health bars and a juice drink. How many should she buy for each?. Now, in the next problem the situation is a little bit different. .

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Prime Time Investigation 3.3 “Bagging Snacks”

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  1. Prime TimeInvestigation 3.3“Bagging Snacks”

  2. Seven students are going to a game. Sara is in charge of buying the snacks for the trip. Each person wants two health bars and a juice drink. How many should she buy for each? Now, in the next problem the situation is a little bit different.

  3. Jane and her friends are going on a hiking trip. Jane wants to make snack packs of apples and trail mix to take on the trip. She has 24 apples and 36 small bags of trail mix. What is the greatest number of snack packs Jane can make if each pack must have exactly the same number of apples and exactly the same number of trail mix? She doesn’t want any apples or trail mix left over. Explain. Could Jane make a different number of snack packs so that the treats are shared equally? If so, describe each possibility. Which possibility seems most reasonable to you? Why?

  4. What is different in this problem from the problem we talked about before? Talk to a partner for a few minutes about how you might go about solving this problem. Let’s have a discussion about where to start on solving the problem. What strategies seem appropriate? Now that you’ve heard some ideas, I’ll give you some time to work with one other person to solve the problem.

  5. Let’s share and see what others were thinking. Discussion Points: Which part of the problem called for the greatest common factor? Which part just called for common factors? How did you know that finding factors would help? What is the problem signals that you need to analyze what numbers divide the amounts given? That you need to find common factors? Can a common factor ever be one of the numbers?

  6. Reflective Writing:Write about a real life situation you might encounter in which you must find the greatest common factor of two numbers.ORIf the problem you solved today had three different treats, how would you solve it differently?

  7. Prime Time Investigation 3.4 “Planning a Picnic”

  8. Miriam’s uncle runs a small convenience store. He often donates treats for Miriam’s school parties. Today, he donated 120 cans of juice and 90 packs of cheese crackers for the school field trip. Each student is to receive the same number of cans of juice and the same number of packs of crackers.

  9. Today, he donated 120 cans of juice and 90 packs of cheese crackers for the school field trip. Each student is to receive the same number of cans of juice and the same number of packs of crackers. A. What is the greatest number of students that can go on the field trip and share the food equally with no food left over? How many cans of juice and how many packs of crackers will each student receive? Explain.How might you solve this problem?Work with a partner to solve the problem. Be sure to label what all of your numbers mean.

  10. Today, he donated 120 cans of juice and 90 packs of cheese crackers for the school field trip. Each student is to receive the same number of cans of juice and the same number of packs of crackers. If you have time: Suppose Miriam’s uncle eats two packs of crackers before he sends the supplies to school. What is the greatest number of students that can go on the field trip and share the food equally now? How many cans of juice and how many packs of crackers will each student receive? Explain.

  11. Discussion Questions:* When is the greatest common factor of two numbers one of the numbers? What is special about these two numbers? Give another example. * When is the greatest common factors of two numbers 1? What is special about these two numbers? Give another example that fits this pattern. • * When is the greatest common factor of two numbers less than both numbers but greater than 1? What is special about these two numbers? Give another example that fits this pattern.

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