teacher notes please attend to the notes at the bottom of each slide. make accommodations and...
TRANSCRIPT
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