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Division A way to introduce and practice division number stories.

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Presentation on theme: "Division A way to introduce and practice division number stories."— Presentation transcript:

1 Division A way to introduce and practice division number stories

2 Lets review some key vocabulary to warm up. 5124 24 R 4 REMAINDER The number left over after a quotient is found DIVIDEND The number being divided DIVISOR The number you are dividing by QUOTIENT The answer to a division problem

3 4 ways to represent division problems 12 246 246 12 246 / 12 246 12

4 Let’s try some problems together!

5 Division Problems & Fact Families Division Story: “I have 56 cookies and 8 friends, how many whole cookies can each friend have?” FriendsCookies per friendCookies in all

6 Division Problems & Fact Families Think Aloud: “I have 56 cookies and 8 friends, how many whole cookies can each friend have?” Whoa! That looks like a fact family! FriendsCookies per friendCookies in all 856

7 Division Problems & Fact Families If you know your fact families, small division problems like this one can be easy. Think Aloud: “8 times ? equals 56.” 8 x ? = 56 FriendsCookies per friendCookies in all 856

8 Division Problems & Fact Families Think Aloud: 8 x 7 = 56 7 8 56 FriendsCookies per friendCookies in all 8756 ? x 8 = 56 8x ? = 56 56 8 = ? 56 ? = 8

9 Let’s try another problem together!

10 Division Problems & Fact Families Division Story: “There are 33 students. Each table can seat 6 students. How many tables are needed?” TablesStudents per tablestudents in all

11 Division Problems & Fact Families Think Aloud: “There are 33 students. Each table can seat 6 students. How many tables are needed?” TablesStudents per tablestudents in all 633 6 33 This is similar to a fact family, but not exact.

12 Division Problems & Fact Families Think Aloud: “I need to squish 6 into 3 (no fractions allowed). That won’t work so I’ll put a place holder on top.” TablesStudents per tablestudents in all 633 6 33

13 Division Problems & Fact Families Think Aloud: “6 x 5 = 30. That’s close to 33!” I put the 5 next to the place holder. The 30 goes below the 33. TablesStudents per tablestudents in all 633 5 6 33 30

14 Division Problems & Fact Families Think Aloud: “Now I subtract” 33 – 30 = 3 TablesStudents per tablestudents in all 633 5 6 33 - 30 3

15 Division Problems & Fact Families REMEMBER, THE QUESTION ASKED: “How many tables are needed?” I need 6 tables to fit all 33 students! TablesStudents per tablestudents in all 6633 5 tables with 3 students left over! 5 R 3This is not my final answer.

16 Ready for a challenge!

17 How to Solve a Division Problem 5 124 Whoa! Those are really large numbers, lets take it one step at a time. Think Aloud: “I have one hundred twenty four cookies and five friends, how many whole cookies can each friend have?”

18 How to Solve a Division Problem 5 124 Think Aloud: “I have one cookie and five friends, how many whole cookies can each friend have?” Sadly, I don’t have enough cookies.

19 How to Solve a Division Problem 5 124 Because I don’t have enough cookies to share I have to put the cookie on the shelf. The cookie becomes my place holder.

20 How to Solve a Division Problem 5 124 Think Aloud: “I have twelve cookie and five friends, how many whole cookies can each friend have?” Each friend can have 2 cookies ( 5 x 2 = 10)

21 How to Solve a Division Problem 2 5 124 10 2 x 5 = 10 The 2 is placed above the 2 in the dividend. 10 is written below the 12. Neatness is important!

22 How to Solve a Division Problem 2 5 124 - 10 2 Now subtract 12 – 10. 12 – 10 = 2

23 How to Solve a Division Problem 2 5 124 - 10 24 Bring down the 4 next to the 2.

24 How to Solve a Division Problem 2 5 124 - 10 24 Now I have another cookie story to ask myself. “I have twenty four cookies and five friends, how many whole cookies can each friend have?” Each friend can have 4 cookies. ( 5 x 4 = 20)

25 How to Solve a Division Problem 2 4 5 124 - 10 24 20 5 x 4 = 20 The 4 is placed above the 4 in the dividend. 20 is written below the 24. Neatness is important!

26 How to Solve a Division Problem 2 4 5 124 - 10 24 - 20 4 Now subtract 24 – 20. 24 – 20 = 4

27 How to Solve a Division Problem 2 4 R 4 5 124 - 10 24 - 20 4 Think Aloud: “I have no more friends to share my five cookies with.” “I have 4 cookies left over.”

28 How to Solve a Division Problem 2 4 R 4 5 124 - 10 24 - 20 4 My final answer is: 24R 4 When I share my 124 cookies with my five friends, each friend will get 24 cookies. I will have 4 cookies left over.

29 Try some of these on your own!

30 Practice Problems 1. 2 18 2. 3 29 3. 5 430 4. 7 50 5. 4 612 6. 6 200

31 Practice Problem Answers 1. 9 2 18 2. 9 R 2 3 29 3. 86 5 430 4. 7 R 1 7 50 5. 153 4 612 6. 33 R 2 6 200


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