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Dividing: Grouping vs. Sharing CCSS.6.NS.1: Apply and extend previous understandings multiplication and division to divide fractions by fractions. You need your Journal, a pencil, and a ruler. You will get a new assigned seat today. Be prepared to move.

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Set up your Journal as shown: Grouping ProblemsSharing Problems 12 ÷ 3 = 4 10 ÷ 5 = 2

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Grouping Problem: Act it Out If there are 3 people on each team, how many teams can you make with 12 people?

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Grouping Problem: Act it Out If there are 3 people on each team, how many teams can you make with 12 people? So, 12 people ÷ 3 people = 4 teams Draw a picture model on the worksheet in your Journal of this situation.

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Grouping Problem: Act it Out If there are 3 people on each team, how many teams can you make with 12 people?

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Grouping Problem: Use the colored disks to model this problem. If there are 5 sandwiches on each platter, how many platters do you need to feed 10 people? Draw a picture model in your journal of this situation.

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Grouping Problem: Use the colored disks to model this problem. If there are 5 sandwiches on each tray, how many trays do you need to feed 10 people? Draw a picture model in your journal of this situation. 10 sandwiches ÷ 5 sandwiches = 2 trays

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Sharing Problem: Act it Out If there are 12 people on 3 teams, how many people are on each team?

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Sharing Problem: Act it Out If there are 12 people on 3 teams, how many people are on each team?

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Sharing Problem: Act it Out If there are 12 people on 3 teams, how many people are on each team? So, 12 people ÷ 3 teams = 4 people/team How does this compare/differ from the grouping problem, 12 ÷ 3 = 4?

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Sharing Problem: Use the colored disks to model this problem. If there are 10 sandwiches on 5 trays how many sandwiches on each tray? Draw a picture model in your journal of this situation. How does this model compare/differ from the grouping model?

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Sharing Problem: Use the colored disks to model this problem.

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If there are 10 sandwiches on 5 trays how many sandwiches on each tray? Draw a picture model in your journal of this situation. So, 10 sandwiches ÷ 5 trays = 2 sandwiches/tray How does this model compare/differ from the grouping model?

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Review Review models using the manipulatives (color discs). Which is Grouping? Sharing? If there are 28 marbles in 4 bags, how many marbles in each bag? (28 marbles ÷ 4 bags = 7 marbles per bag) If there are 4 marbles in each bag, how many bags can you use with a total of 28 marbles? (28 marbles ÷ 4 marbles per bag = 7 bags) Discuss the differences in what the question is asking as to how students will divide the discs.

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Practice Use the same ideas of grouping and sharing to create bar models and number lines for the same 2 problems.

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Fraction Division: A Whole Number Divided by a Fraction 1 = ? 1515 To get the answer, ask: 1 ? = 1515 How many groups of can be made from 1? 1515.

Fraction Division: A Whole Number Divided by a Fraction 1 = ? 1515 To get the answer, ask: 1 ? = 1515 How many groups of can be made from 1? 1515.

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