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Sticks & Stones. 142. 6e852. _. 6 12 18 24 30 36 42 48 54. . i. i i i. 25. __. __. __. __. Now You Can BEAT Long Division!. . 12. __. __. But then I discovered…. Long division getting you down? Yeah, it used to bother me too. Sticks & Stones.

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now you can beat long division

Sticks & Stones

142

6e852

_

6

12

18

24

30

36

42

48

54

..

i

i

i

i

25

__

__

__

__

Now You Can BEAT Long Division!

.

12

__

__

long division getting you down yeah it used to bother me too

But then I discovered…

Long division getting you down?

Yeah, it used to bother me too.

Sticks

&

Stones

to use sticks stones start with a long division problem
To use “Sticks & Stones”,start with a long division problem.

5e595

Honestly,

“Sticks & Stones” is GREAT!

next list the first 9 multiples of the divisor

5

10

15

20

25

30

35

40

45

Next, list the first 9 multiples of the divisor.

5e595

5

The DIVISORis the number that does the dividing.

now look at the first digit of the dividend

5

10

15

20

25

30

35

40

45

Now look at the first digit of the dividend.

5e595

5

The DIVIDEND is the number that is being divided.

since you can take 1 multiple out of this digit draw 1 stick under it

_

5

10

15

20

25

30

35

40

45

Since you can take 1 multiple out of this digit, draw 1 “stick” under it.

_

5e595

5

since you drew 1 stick place a 1 on top to represent it

1

5

10

15

20

25

30

35

40

45

Since you drew 1 “stick”, place a 1 on top to represent it.

_

5e595

5

I cannot tell a lie.

“Sticks & Stones” is the BEST !

bring down the next number

1

5

10

15

20

25

30

35

40

45

Bring down the next number.

_

5e595

9

i

you can take 1 multiple out of this number so draw 1 stick

_

1

5

10

15

20

25

30

35

40

45

You can take 1 multiple out of this number, so draw 1 “stick” .

_

5e595

i

_

Wait, that only takes out “5”. What about the rest of the “9”?

9

count up from the last stick 5 and draw a stone for each remaining number until you reach 9

1

5

10

15

20

25

30

35

40

45

Count up from the last “stick” (5) and draw a “stone” for each remaining number until you reach 9.

This “stick” equals 5!

_

5e595

i

_

9

.

.

.

.

6

7

8

9

place a 1 on top to represent the 1 stick that you drew then put a 4 underneath the stones

1

1

5

10

15

20

25

30

35

40

45

Place a 1 on top to represent the 1 “stick” that you drew, then put a 4 underneath the “stones”.

_

5e595

Where did the “4” come from?

i

_

9

.

.

.

.

4

the 4 comes from the 4 stones that were drawn

1

1

5

10

15

20

25

30

35

40

45

The 4 comes from the 4 “stones that were drawn.

_

5e595

Where did the “4” come from?

i

_

9

.

.

.

.

4

now bring down the last digit

1

1

5

10

15

20

25

30

35

40

45

Now bring down the last digit.

_

5e595

5

i

i

_

i

9

.

.

.

.

i

4

“Sticks & Stones”

is better than pizza!

draw 1 stick for every multiple you can take out of the number

_

1

1

5

10

15

20

25

30

35

40

45

Draw 1 “stick” for every multiple you can take out of the number.

_

_

_

5e595

_

i

i

_

_

i

9

_

.

.

.

.

i

_

__

4

5

__

_

__

__

_

__

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__

place a 9 on top to represent the number of sticks drawn

1

1

9

5

10

15

20

25

30

35

40

45

Place a “9” on top to represent the number of “sticks” drawn.

_

5e595

i

i

_

i

9

.

.

.

.

i

__

4

5

__

__

__

“Sticks

& Stones” is a real gift!

__

__

__

__

__

since there are no more numbers to bring down you are finished

1

1

9

5

10

15

20

25

30

35

40

45

Since there are no more numbers to bring down, you are finished!

_

5e595

i

i

_

i

9

.

.

.

.

i

__

4

5

__

__

__

__

__

__

__

__

now look at the first digit in the dividend the number being divided

4

8

12

16

20

24

28

32

36

Now look at the first digit in the dividend (the number being divided).

4e219

2

Hey! That number is too small to be divided by 4!

that s right so now you will have to look at the first 2 digits together

4

8

12

16

20

24

28

32

36

That’s right! So now you will have to look at the first 2digits together!

4e219

2

1

Hey! That number is too small to be divided by 4!

now draw 1 stick for each multiple that you can remove from the number 21

4

8

12

16

20

24

28

32

36

Now draw 1 “stick” for each multiple that you can remove from the number 21.

4e219

2

1

Hmmm…I can go all the way up to 20, so I can draw 5 sticks!

now draw 1 stick for each multiple that you can remove from the number 2123

4

8

12

16

20

24

28

32

36

4

Now draw 1 “stick” for each multiple that you can remove from the number 21.

8

__

4e219

2

1

__

12

__

__

16

__

20

Hmmm…I can go all the way up to 20, so I can draw 5 sticks!

hmmm those 5 sticks only took us up to 20 how do we get to 21

4

8

12

16

20

24

28

32

36

Hmmm… those 5 “sticks” only took us up to 20…How do we get to 21?

__

4e219

2

1

__

__

__

__

that s right count on from 20 until we reach 21 and draw a stone for each number

4

8

12

16

20

24

28

32

36

That’s right, count on from 20 until we reach 21, and draw a “stone” for each number.

__

4e219

2

1

__

__

__

__

.

These 5 “sticks” represent 20.

This “stone” makes 21.

now place a 5 on top to represent the 5 sticks

5

4

8

12

16

20

24

28

32

36

Now, place a “5” on top to represent the 5 “sticks”.

__

4e219

__

__

__

__

.

Place a “1” below to represent the “stone”.

1

hmmmm what should we do next

5

4

8

12

16

20

24

28

32

36

Hmmmm…What should we do next?

__

4e219

9

__

__

__

__

i

.

Oh yes, bring down the next number!

i

1

ok now what

5

4

8

12

16

20

24

28

32

36

4

Ok…now what?

8

__

4e219

__

12

__

__

16

That’s it, draw a “stick” for each multiple you can take out of 19.

__

i

.

i

__

1

9

__

__

__

that took us to 16 now what

5

4

8

12

16

20

24

28

32

36

That took us to 16… now what?

__

4e219

__

__

__

__

i

Oh yes, count on from 16 while drawing “stones”

.

i

__

1

9

__

__

__

.

.

.

17

18

19

now count the sticks and put the number on top

5

4

4

8

12

16

20

24

28

32

36

Now, count the “sticks” and put the number on top.

__

4e219

__

__

__

__

i

.

Then count the “stones” and place the number below.

i

__

1

9

__

__

__

.

.

.

3

there are no more numbers to bring down so you are finished dividing

5

4

4

8

12

16

20

24

28

32

36

There are no more numbers to bring down, so you are finished dividing.

__

4e219

__

__

__

__

i

.

i

__

1

9

__

__

__

.

.

.

3

because there are no numbers left to bring down the 3 is the remainder

5

4

Because there are no numbers left to bring down, the “3” is the remainder.

r

__

4e219

__

__

__

__

i

.

i

__

1

9

__

__

__

What about that “3” left at the bottom?

.

.

.

3

3