Division 101 Kristi Walker 4 th Grade. Today you will need: Pencil Paper White Board Dry Erase...

Division 101Kristi Walker 4th Grade

Today you will need:

• Pencil• Paper• White Board• Dry Erase Marker• Multiplication Table

What are we going to learn today?

The state of Tennessee says:

SPI 406.2.1: Solve problems using whole number division with one- or two-digit divisors.


HUH?


The state of TN is using fancy words to say this…

We are going to learn how many times a one-digit number will fit into another number. This process is known as division.

When would I ever need to know that?

Tonight for dinner your Mom and Dad are goingto order a pizza for you, your little brother, and them to eat. The pizza has 8 pieces. How many pieceswould each of you get if everyone gets the same number of pieces?

Lets look at another example:I have a basket of 20 apples that I picked from my apple tree in the back yard. I would like to give 5 of my closest friends some of my apples. I want to give them all the same number of apples because I do not want to hurt any of their feelings. How many apples will each friend get?

Ella:

Brock:

Lexie:

Dillon:

Knox:

http://www.brainpop.com/math/numbersandoperations/division/

Words To Know:

• Dividend• Divisor• Quotient• Remainder


Dividend:The number that is being divided.

Examples:3 18

18 3


Divisor:The number by which the dividend is being divided.

Examples: 3 18

18 3


Quotient:The answer to a division problem.

Examples:

18 3 6

3 186


Remainder:The number that is left over after one whole

number is divided by another.

Example: 3 206 R 2


Label this diagram:

6 549

Division Rules:

1. When you divide zero by any number other than zero the quotient will be zero.

Example: 0 ÷ 5 = 0How many cookies can 5 people have if there are zero cookies? 0 cookies divided among 5 people = 0 cookies each


Division Rules:

2. It is not possible to divide a number by zero.

Example: 5 ÷ 0 = ImpossibleHow many cookies can 0 people have if there are 5 cookies?

That is impossible to do!


Division Rules:

3. When you divide any number by 1 the quotient will always be the dividend.

Example: 8 ÷ 1 = 8I have a pie that has 8 slices. I am the only one there to eat it. How many slices could I eat? 8 slices divided among 1 person = 8 slices for me!


Division Rules:

4. When you divide any number by itself the quotient will always be 1. (Except zero!)

Example: 9 ÷ 9 = 1There are 9 people at the party. There are 9 party favors. How many party favors will each guest get?

9 favors divided among 9 people = 1 favor each


Lets Practice:

Answer these division problems on your white boards using what we have just learned about

the rules of division.1. 42 ÷ 0 = _____2. 56 ÷ 56 = _____3. 0 ÷ 31 = _____4. 15 ÷ 1 = _____


How are Division and Multiplication connected?

Think back to our original basket of apples….We decided that 5 people would each have 4 apples.

Ella:

Brock:

Lexie:

Dillon:

Knox:

20 5 = 4and

4 5 = 20


Inverse Operations

Multiplication and Division are Inverse Operations!

This means that they “un-do” each other


Quick Check…

• When you hear the Magic Word, take 30 seconds to tell your neighbor what it is that we are learning today….


Using Multiplication to Solve Division: 9 72

1. Look across the top row of your multiplication chart until you find the divisor.

2. Follow that column down until you find the dividend.

3. Follow that row to the far left to find the quotient.

What is the answer?

8


Lets do another:

7 497

Lets do another:

4 4812

You Practice On Your Notes:

5 35 4 12

2 18 7 56

7 3

9 8

Game Time!!!!!

http://www.ixl.com/math/grade-4/divide-by-1-digit-numbers-complete-the-table

Word Problem Practice:The local baseball team has 54 baseballs

available to play 9 games. How many balls are available for each game?

9 546What information in

the problem do I need to know to solve it? What information is

“fluff?”


Word Problem Practice:

Which operation do we use?

Medina Middle School students recently sold candy bars to raise money for the school. Each box of candy was worth $50. Mrs. Chelsea had 18 students sell a box of candy, Mrs. Carter had 14, and Mrs. Walker had 22. How much money did Mrs. Carter’s class raise?

Multiplication!

What information in the problem do I need to know to solve it? What information is

“fluff?”

Word Problem Practice:

Which operation do we use?

I have one dozen candy bars and half a dozen cookies. There are 4 students that have earned a reward for displaying good citizenship at school and 6 students who earned a reward for making an A on their math test. If I want to give all my candy bars to the students who made and “A,” how many candy bars will each one get?

Division!

What information in the problem do I need to know to solve it? What information is

“fluff?”

Word Problem Practice

Write your own word problem that requires the use of division to solve.

Swap papers with a neighbor and solve their problem.

Swap back and check their work.


http://www.timeme.com/count-down-timer.htm

Put Your Thinking Caps On…

• Can we have division without multiplication? Why or Why not?


What did we learn today?

Write it down….

We learned how to divide whole numbers that have one-digit divisors.


Let’s Share…

You tell me some real-life situations that you might need to know how to divide.


Independent Practice:

Complete Division Worksheet


Show me what you learned:

8 48

Part One:

Part Two:What would happen if you swapped the dividend and the divisor? Why?

Homework:

Complete Division Facts Worksheet


Long DivisionLong division is as simple as memorizing the members of

the “Division Family.”

Dad Mom Sister Brother

Rover

Each person represents a step in the long division process.

Dad Mom Sister

Brother Rover

1. Divide 2. Multiply 3. Subtract

4. Bring down5. Repeat or Remainder

Step 1 in Long Division

• Divide 2 into first number in the dividend.

2 ) 9 4

• Think how many 2’s will fit into 9.

4

How many 2’s will go into 9?

• Write that number directly above the number you divided into.

Dad

1. Divide


• Multiply the divisor times the first number in the quotient.

2 ) 9 4

• Write your answer directly under the 9 or the number you just divided into.

4

2 x 4 = 8

2. Multiply

Mom

8


• Draw a line under the 8.2 ) 9 4

• Write a subtraction sign next to the 8.

43. Subtract

8Sister

• Subtract 8 from 9.

• Write your answer directly below the 8.

1


• Go to the next number in the dividend to the right of the 9.

2 ) 9 4

• Write an arrow under the 4.

44. Bring down

8

• Bring the 4 down next to the 1.

1

Brother

4


• This is where you decide whether you repeat the 5 steps of division.

2 ) 9 4

• If your divisor can divide into your new number, 14, or if you have numbers in the dividend that have not been brought down, you repeat the 5 steps of division.

45. Repeat or Remainder

81 4

Rover


• Divide 2 into your new number, 14.

2 ) 9 4

• Place your answer directly above the 4 in your quotient.

41. Divide

81 4

Dad

7


• Multiply your divisor, 2, with your new number in the quotient, 7.

2 ) 9 4

• Place your answer directly under the 14.

42. Multiply

81 4

7Mom

1 4


• Draw a line under the bottom 14.

2 ) 9 4

• Draw a subtraction sign.

43. Subtract

81 4

7

1 4

Sister

• Subtract & place answer under the line. 0


• We do not have any more numbers to bring down from the dividend so we can go to the next step.

2 ) 9 444. Bring

down

81 4

7

1 40

Brother


• Don’t need to repeat because the new number is less than the divisor.

2 ) 9 4


81 4

7

1 40

Rover

Lets try another…


5 ) 65


1



Dad

1. Divide



5 ) 65


1

5 x 1 = 5

2. Multiply

Mom

5


• Draw a line under the 5.5 ) 65


13. Subtract

5Sister



1



5 ) 6 5


14. Bring down

5


1

Brother

5



5 ) 6 5



51 5

Rover



5 ) 6 5


11. Divide

51 5

Dad

3



5 ) 6 5


12. Multiply

51 5

3Mom

1 5



5 ) 6 5


13. Subtract

11 5

3

1 5

Sister




5 ) 6 514. Bring

down

51 5

3

1 50

Brother



5 ) 6 5


51 5

3

1 50

Rover

Another Example…


3 ) 9 3


3



Dad

1. Divide



3 ) 9 3


3

3 x 3 = 9

2. Multiply

Mom

9


• Draw a line under the 9.3 ) 9 3


33. Subtract

9Sister



0



3 ) 9 3


34. Bring down

9


0

Brother

3



3 ) 9 3



90 3

Rover



3 ) 9 3


31. Divide

90 3

Dad

1



3 ) 9 3


32. Multiply

90 3

1Mom

3



3 ) 9 3


33. Subtract

90 3

1

3

Sister




3 ) 9 334. Bring

down

90 3

1

30

Brother



3 ) 9 3


90 3

1

30

Rover

Now You Try….

3 7 5

Now You Try….

2 8 4

Now You Try….

6 9 6

Independent Practice

Complete Assignment on Your Own

Dividing 3 Digit Dividends….


4 ) 6 8 4


1



Dad

1. Divide


• Multiply the new number at the top by the divisor

4 ) 6 8 4


1

4 x 1 = 4

2. Multiply

Mom

4


• Draw a line under the 4.4 ) 6 8 4


13. Subtract

4Sister



2


• Go to the next number in the dividend.

4 ) 6 8 4


14. Bring down

4


2

Brother

8



4 ) 6 8 4

• If your divisor can divide into your new number, 28, or if you have numbers in the dividend that have not been brought down, you repeat.


42 8

Rover


• Divide your new number at the bottom by your divisor.

4 ) 6 8 4

• Place your answer at the top directly above the 8.

11. Divide

42 8

Dad

7


• Multiply your new number at the top by your divisor.

4 ) 6 8 4


12. Multiply

42 8

7Mom

2 8



4 ) 6 8 4


13. Subtract

42 8

7

2 8

Sister



• Put an arrow under the next number in the

dividend, 4.

4 ) 6 8 4


14. Bring down

42 8

7

2 80

Brother

4


• If we have more numbers to bring down or if the new number at the bottom is equal to or greater than the divisor we should repeat.

4 ) 6 8 4


42 8

7

2 80 4

Rover

4 ) 6 8 4

1

42 8

7

2 80 4

1Step 1 in Long Division


• Place your answer at the top directly above the 4.

1. Divide

Dad


• Multiply the new number at the top by the divisor.

4 ) 6 8 4

12. Multiply

42 8

7

2 80 4• Place your answer under the

number you brought down, 4.

1

Mom

4


• Draw a line under the number 4.

4 ) 6 8 4

13. Subtract

42 8

7

2 80 4• Place your subtraction sign.

1

4

Sister

• Subtract & put your answer directly under the 4. 0


• Look at your dividend to see if there are any more numbers to bring down.

4 ) 6 8 4

14. Bring down

42 8

7

2 80 4

1

4• If not, move to the next step.

0

Brother


• Since there are no more numbers to bring down & 0 is smaller than 4, you do not repeat the steps of division.

4 ) 6 8 4


42 8

7

2 80 4

1

40

Rover

4 ) 6 8 41

42 8

7

2 80 4

1

40

You did it!

You’re so smart!

You’re awesome!

CoolDude!

Wolf!

Let try another one…


7 ) 9 2 4


1



Dad

1. Divide



7 ) 9 2 4


1

7 x 1 = 7

2. Multiply

Mom

7




13. Subtract

7Sister



2



7 ) 9 2 4


14. Bring down

7


2

Brother

2



7 ) 9 2 4

• If you still have numbers in the dividend to bring down or if your divisor can divide into your new number, 22, you repeat.


72 2

Rover


• Divide the new number at the bottom by the divisor

7 ) 9 2 4

• Place your answer directly above the 2.

11. Divide

72 2

Dad

3


• Multiply the new number at the top by your divisor

7 ) 9 2 4


12. Multiply

72 2

3Mom

2 1



7 ) 9 2 4


13. Subtract

72 2

3

2 1

Sister



• Put an arrow under the next number in the dividend, 4.

7 ) 9 2 4


14. Bring down

72 2

3

2 11

Brother

4


• If the 7 will divide into your new number, 14, then repeat the steps of division.

7 ) 9 2 4


72 2

3

2 11 4

Rover


• Divide the new number at the bottom by the divisor.

7 ) 9 2 4


11. Divide

72 2

Dad

3

2 11 4

2



7 ) 9 2 4

12. Multiply

72 2

3


number at the bottom, 14.

2

Mom

1 4



7 ) 9 2 4

13. Subtract

72 2

3


2

1 4

Sister




7 ) 9 2 4

14. Bring down

72 2

3

2 11 4

2

1 4• If not, move to step 5.

0

Brother


• Since there are no more numbers to bring down & 0 is smaller than the divisor, you do not repeat the steps of division.

7 ) 9 2 4


72 2

3

2 11 4

2

1 40

Rover

7 ) 9 2 41

72 2

3

2 11 4

2

1 40

You did it!

You’re so smart!

You’re awesome!

CoolDude!

Wolf!

Now You Try….

5 9 2 5

Now You Try….

7 7 9 8

Now You Try….

6 8 5 2



RemaindersI am going to the movie with five of my friends. My car only has 4 seats. How many friends will “remain” after all the seats are full?



2 ) 9 4 7


4



Dad

1. Divide



2 ) 9 4 7


4

2 x 4 = 8

2. Multiply

Mom

8




43. Subtract

8Sister



1


• Bring down the next number in the dividend.

2 ) 9 4 7


44. Bring down

8


1

Brother

4



2 ) 9 4 7

• If you have more numbers in the dividend to be brought down or if the new number at the bottom is bigger than the divisor, then you repeat.


81 4

Rover


• Divide 2 into your new number at the bottom,14.

2 ) 9 4 7


41. Divide

81 4

Dad

7



2 ) 9 4 7


42. Multiply

81 4

7Mom

1 4



2 ) 9 4 7


43. Subtract

81 4

7

1 4

Sister



• Draw an arrow under the next number, 7

2 ) 9 4 7


44. Bring down

81 4

7

1 40

Brother

7


• If the 2 will divide into your new number, 7, then repeat the steps of division.

2 ) 9 4 7


81 4

7

1 40 7

Rover



2 ) 9 4 7

41. Divide

81 4

7

1 40 7

Dad

• Place your answer in the quotient next to the 7.

3


• Multiply the new number at the top by your divisor.

2 ) 9 4 7

42. Multiply

81 4

7



3

Mom

6



2 ) 9 4 7

43. Subtract

81 4

7


3

6

Sister




2 ) 9 4 7

44. Bring down

81 4

7

1 40 7

3

6• If not, move to step 5.

1

Brother


• Since there are no more numbers to bring down & 2 will not divide into 1, you do not repeat the steps of division.

2 ) 9 4 7


81 4

7

1 40 7

3

6• The number left over, 1, becomes the remainder. 1

Rover

R1

2 ) 9 4 74

81 4

7

1 40 7

3

61

R1You did it!

You’re so smart!

You’re awesome!

CoolDude!

Wolf!



2 ) 8 0 7


4



Dad

1. Divide



2 ) 8 0 7


4

2 x 4 = 8

2. Multiply

Mom

8




43. Subtract

8Sister



0



2 ) 8 0 7


44. Bring down

8


0

Brother

0



2 ) 8 0 7

• If there are more numbers in the dividend to be brought down or if the new number at the bottom is bigger than the divisor then we will repeat.


80 0

Rover



2 ) 8 0 7


41. Divide

80 0

Dad

0



2 ) 8 0 7


42. Multiply

80 0

0Mom

0 0



2 ) 8 0 7


43. Subtract

80 0

0

0 0

Sister



• Draw an arrow under the next number in the dividend.

2 ) 8 0 7


44. Bring down

80 0

0

0 00

Brother

7


• If the new number at the bottom is bigger than the divisor then we need to repeat.

2 ) 8 0 7


80 0

0

0 00 7

Rover



2 ) 8 0 7

41. Divide

80 0

0

0 00 7

Dad


3



2 ) 8 0 7

42. Multiply

80 0

0



3

Mom

6



2 ) 8 0 7

43. Subtract

80 0

0


3

6

Sister




2 ) 8 0 7

44. Bring down

80 0

0

0 00 7

3


1

Brother


• Since there are no more numbers to bring down & 1 is less than 2, you do not repeat the steps of division.

2 ) 8 0 7


80 0

0

0 00 7

3

6• The number left over, 1, becomes the remainder. 1

Rover

R1

2 ) 8 0 74

80 0

0

0 00 7

3

61

R1You did it!

You’re so smart!

You’re awesome!

CoolDude!

Wolf!

Now You Try….

4 6 9

Now You Try….

7 8 7 2

Now You Try….

6 8 7 3



Long Division of Money



3 ) 7.3 8


2



Dad

1. Divide


• Multiply the new number at the top by the divisor

3 ) 7.3 8


2

3 x 2 = 6

2. Multiply

Mom

6


• Draw a line under the 6.3 ) 7.3 8


23. Subtract

6Sister



1


• Bring down the next number in the dividend.

3 ) 7.3 8


24. Bring down

6


1

Brother

3


• This is where you decide if you repeat the 5 steps of division.

3 ) 7.3 8

• If there are still numbers in the dividend to be brought down or if the new number at the bottom is bigger than the divisor, then you repeat.


61 3

Rover


• Divide the new number at the bottom by your divisor.

3 ) 7.3 8


21. Divide

61 3

Dad

4


• Multiply your new number at the top by your divisor.

3 ) 7.3 8


22. Multiply

61 3

4Mom

1 2



3 ) 7.3 8


23. Subtract

61 3

4

1 2

Sister



• Put an arrow under the next number in the

dividend.

3 ) 7.3 8


24. Bring down

61 3

4

1 21

Brother

8


• If there are more numbers in the dividend to be brought down or If the new number at the bottom is bigger than the divisor, then you repeat.

3 ) 7.3 8


61 3

4

1 21 8

Rover

.



3 ) 7.3 8

21. Divide

61 3

4

1 21 8

Dad

• Place your answer in the quotient next to the 4.

6


• Multiply the new number at the top by your divisor.

3 ) 7.3 8

22. Multiply

61 3

4

1 21 8• Place your answer under

your new number at the bottom, 18.

6

Mom

81



3 ) 7.3 8

23. Subtract

61 3

4


6

8

Sister

• Subtract & put your answer directly under the 18.

10



3 ) 7.3 8

24. Bring down

61 3

4

1 21 8

6


0

Brother

1


• Since there are no more numbers to bring down & 3 will not divide into 0, you do not repeat the steps of division.

3 ) 7.3 8


61 3

4

1 21 8

6

8• There is no remainder left. 0

Rover

1

Money Step

• Place the decimal point in your quotient.

3 ) 7.3 8

2

• Notice that the decimal is directly above the decimal in the dividend.

.

63

11 8

80

1

12

4 6

Money Step

• Place the dollar sign in front of your answer.

3 ) 7.3 8

2

61 3

4

1 21 8

6

80

.

1

$

3 ) 7.3 82

61 3

4

1 21 8

6

80

You did it!

You’re so smart!

You’re awesome!

CoolDude!

Wolf!

.

1

$

Now You Try….

2 6 . 7 4

Now You Try….

4 10 . 9 2

Now You Try….

3 59 . 91



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Division 101 Kristi Walker 4 th Grade. Today you will need: Pencil Paper White Board Dry Erase...

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