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 PLC’s. Try it as a group.

• Enjoy!

Exploration of Division

Amanda Geist Centennial Middle School

20 ÷ 5

“How many groups of 5 fit inside of 20?”

“If you equally divide 20 into 5 groups, how many will be in one group?”

“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?”

“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?”

“How many groups of 5 fit inside of 20?”

“If you equally divide 20 into 5 groups, how many will be in one group?”

You have three bars of cheese. If it takes 2/3 bar of cheese to make one pizza, how many pizzas can you make?

You have three bars of cheese. If it takes 4/3 bar of cheese to make one pizza, how many pizzas can you make?

Drawing a picture.

I have 3 bars of cheese. It takes 2/3 bar to make one pizza. How many pizzas can I make?

Drawing a picture.

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

Underlying Question

“How many groups of ____ bars of cheese can be made from ____ bars of cheese?”

“How many times does ____ fit inside of ____?”

Number Line

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

Number Line

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

Ratio Table

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

Groups of 2/3

Total

Ratio Table

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

Groups of 4/3

Total

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?

• 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)

• 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)

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

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

Groups of 3/4

Total

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?

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?

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?

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?

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?

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

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

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?

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?

PART 2Fair 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?”

• 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?

• 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?

• 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?

• 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?

• 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?

• 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?

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

Cake

Container

• 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

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

• 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

“If you equally divide 6 among ¾ of a group, how much will be in one group?”

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

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

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