TEACHER NOTES

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TEACHER NOTES

• Please attend to the notes at the bottom of each
  slide.
• Make accommodations and modifications as
  necessary.
• This is a good resource to be used in your PLCs.
  Try it as a group.
• Enjoy!

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Exploration of Division

• Amanda Geist Centennial Middle School

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(No Transcript)
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• 20 5

If you equally divide 20 into 5 groups, how many
will be in one group?
How many groups of 5 fit inside of 20?
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If you equally divide 4 among ¾ of a group, how
much will be in one group?
How many groups of ¾ fit inside of 4?
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If you equally divide 20 into 5 groups, how many
will be in one group?
How many groups of 5 fit inside of 20?
How many groups of ¾ fit inside of 4?
If you equally divide 4 among ¾ of a group, how
much will be in one group?
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You have three bars of cheese. If it takes 2/3
bar of cheese to make one pizza, how many pizzas
can you make?
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You have three bars of cheese. If it takes 4/3
bar of cheese to make one pizza, how many pizzas
can you make?
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• Drawing a picture.
• I have 3 bars of cheese. It takes 2/3 bar to make
  one pizza. How many pizzas can I make?

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• Drawing a picture.
• I have 3 bars of cheese. It takes 4/3 bar to make
  one pizza. How many pizzas can I make?

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Underlying Question

• How many groups of ____ bars of cheese can be
  made from ____ bars of cheese?
• How many times does ____ fit inside of ____?

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Number Line

• How many times does 2/3 fit inside of 3?

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Number Line

• How many times does 4/3 fit inside of 3?

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Ratio Table

• How many times does 2/3 fit inside of 3?

Groups of 2/3
Total
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Ratio Table

• How many times does 4/3 fit inside of 3?

Groups of 4/3
Total
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These are Examples of Division

• You have 5 bars of cheese. It takes 2/3 bar of
  cheese to make a pizza. How many pizzas can you
  make?
• How many groups of 2/3 fit inside of 5?

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• Bows require ¾ yard of ribbon. How many bows can
  you make from 2 yards of ribbon?
• How many groups of 3/4 fit inside of 2?
• Division number sentence_______________
• (Use unifix cubes)

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• A serving size is 2/3 cookies. How many servings
  can be made from 4 cookies?
• How many groups of 2/3 fit inside of 4?
• Division number sentence_______________
• (Draw a Picture)

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• How many groups of ____ fit inside of ____?
  (Number Line)

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• How many groups of ____ fit inside of ____?
  (Ratio Table)

Groups of 3/4
Total
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• A serving size of rice is 1/6 cup. How many
  servings can be made from 1/2 of a cup?
• In other words, how many times does 1/6 fit
  inside of 1/2?

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• A serving size of rice is 1/2 cup. How many
  servings can be made from 1/6 of a cup?
• In other words, how many times does 1/2 fit
  inside of 1/6?

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• A serving size of cereal is 3/8 cup. How many
  servings can be made from 1/2 of a cup?
• In other words, how many times does 3/8 fit
  inside of 1/2?

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• A serving size of cereal is 1/2 cup. How many
  servings can be made from 3/8 of a cup?
• In other words, how many times does 1/2 fit
  inside of 3/8?

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• A serving size of cereal is 1/3 cup. How many
  servings can be made from 3/4 of a cup?
• In other words, how many times does 1/3 fit
  inside of 3/4?

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• If we split the bars into the same size pieces,
  were asking how many times does 4/12 fit inside
  of 9/12?

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• If we split the bars into the same size pieces,
  were asking how many times does 4/12 fit inside
  of 9/12?

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Tip of the Iceberg Common Denominator Algorithm

• A serving size of rice is 2/3 cup. How many
  servings can you make from 5/6 cup?
• How many times does 2/3 fit inside of 5/6?

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Tip of the Iceberg Common Denominator Algorithm

• A serving size of rice is 2/7 cup. How many
  servings can you make from 4/5 cup?
• How many times does 2/7 fit inside of 4/5?

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• PART 2
• Fair Sharing
• 20 5 If you equally divide 20 into 5 groups,
  how many will be in one group?
• If you equally divide 6 among ¾ of a
  group, how much will be in one group?

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• 6 strawberries (equally sized) fill ¾ of a cup.
  How many strawberries will fill one cup?
• If you equally share 6 among ¾ of a group, how
  much will be in one group?

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• 4 cookies fill 2/3 of a cookie jar (a very small
  cookie jar!) How many cookies will fill one jar?
• If you equally share 4 among 2/3 of a group, how
  much will be in one group?

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• 5 kiwis weigh 4/5 of a pound. How many kiwis will
  weigh one pound?
• If you equally share 5 among 4/5 of a group, how
  much will be in one group?

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• If you equally share 1/3 cake among 3 people, how
  much cake does each person get?
• If you equally share 1/3 among 3 groups, how much
  is in one group?

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• If you equally share 2/3 cake among 5 people, how
  much cake does each person get?
• If you equally share 2/3 among 5 groups, how much
  is in one group?

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• 1/2 of a cake fills 2/3 of a container. How much
  cake will fill one container?
• If you equally share 1/2 among 2/3 of a group,
  how much is in one group?

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• 1/2 of a cake fills 2/3 of a container. How much
  cake will fill one container?

Cake
Container
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• 1/2 of a cake and fills 2/3 of a container. How
  much cake will fill one container?

Cake 1/2 1/4 3/4
Container 2/3 1/3 1
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Tip of the Iceberg Multiply by the Reciprocal

• 3/4 of a pizza fills 2/3 of a container. How much
  pizzas will fill one container?

Pizza
Container
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• If it takes 5/8 hours to pain 2/3 of a room, how
  many hours will it take to paint 1 room?

Hours
Painted Room
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• If you equally divide 6 among ¾ of a group, how
  much will be in one group?

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• If you equally share 4 among 2/3 of a group, how
  much will be in one group?

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• If you equally share 5 among 4/5 of a group, how
  much will be in one group?

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Exit Ticket (Post Test)

• 1)
• 2) Draw a picture to represent this problem
• 3) Give a real life situation that could be
  represented by this problem