Transcript Division - Saucon Valley High School

Division
A way to introduce and practice
division number stories
Lets review some key vocabulary
to warm up.
QUOTIENT
The answer to a
division problem
REMAINDER
24 R 4
5 124
The number
left over after
a quotient is
found
DIVIDEND
DIVISOR
The number you
are dividing by
The number
being divided
4 ways to represent division
problems
12 246
246
12
246 / 12
246
12
Let’s try some
problems together!
Division Problems & Fact Families
Friends
Cookies per friend
Cookies in all
Division Story:
“I have 56 cookies and 8 friends, how many
whole cookies can each friend have?”
Division Problems & Fact Families
Friends
Cookies per friend
8
Think Aloud:
“I have 56 cookies
and 8 friends, how
many whole
cookies can each
friend have?”
Cookies in all
56
Whoa!
That looks like a fact
family!
Division Problems & Fact Families
Friends
Cookies per friend
8
If you know your fact
families, small
division problems like
this one can be easy.
Cookies in all
56
Think Aloud:
“8 times ? equals 56.”
8 x ? = 56
Division Problems & Fact Families
Friends
Cookies per friend
Cookies in all
8
7
56
? x 8 = 56
Think Aloud:
8 x 7 = 56
8 x ? = 56
56
8 = ?
56
? = 8
8
7
56
Let’s try another
problem together!
Division Problems & Fact Families
Tables
Students per table
students in all
Division Story:
“There are 33 students. Each table can seat
6 students. How many tables are needed?”
Division Problems & Fact Families
Tables
Think Aloud:
“There are 33
students. Each
table can seat 6
students. How
many tables are
needed?”
Students per table
students in all
6
33
6 33
This is similar to a
fact family, but
not exact.
Division Problems & Fact Families
Tables
Students per table
students in all
6
33
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.”
6 33
Division Problems & Fact Families
Tables
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.
Students per table
students in all
6
33
5
6 33
30
Division Problems & Fact Families
Tables
Students per table
students in all
6
33
Think Aloud:
“Now I subtract”
33 – 30 = 3
5
6 33
- 30
3
Division Problems & Fact Families
Tables
Students per table
students in all
6
6
33
This is not my final answer.
5 R3
REMEMBER, THE QUESTION ASKED:
“How many tables are needed?”
I need 6 tables to fit all 33 students!
5 tables with 3
students left
over!
Ready for a
challenge!
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?”
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.
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.
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)
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!
How to Solve a Division Problem
2
5 124
- 10
2
Now subtract 12 – 10.
12 – 10 = 2
How to Solve a Division Problem
2
5 124
- 10
24
Bring down the 4 next to
the 2.
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)
How to Solve a Division Problem
24
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!
How to Solve a Division Problem
24
5 124
- 10
24
- 20
4
Now subtract 24 – 20.
24 – 20 = 4
How to Solve a Division Problem
24
5 124
- 10
24
- 20
4
R4
Think Aloud:
“I have no more
friends to share my
five cookies with.”
“I have 4 cookies left
over.”
How to Solve a Division Problem
24
5 124
- 10
24
- 20
4
R4
My final answer is:
24 R 4
When I share my 124
cookies with my five
friends, each friend
will get 24 cookies. I
will have 4 cookies
left over.
Try some of these
on your own!
Practice Problems
1.
4.
2 18
2.
7 50
5.
3 29
3.
4 612
6.
5 430
6
200
Practice Problem Answers
1.
9
2 18
4.
7 R1
7 50
2.
9 R2
3 29
5.
153
4 612
3.
86
5 430
6.
6
33 R 2
200