Make a Funny Partial
Quotient Division Story
Using an Area Model of Division and a
Partial Quotient Model
Illustrating and Explaining Partial quotient.
• You and 4 of your friends went to the
_________________ and earned 695
tickets in the ______________ game. How
are you going to divide the tickets up?
• Do you think that each of the friends will receive the
same amount of tickets? Why? Why not?
• How can we make sure that each friend gets equal
amounts of tickets?
Subtract from the Dividend or theTickets Until Everyone has the
Same Number of Tickets
X
100 +
20+10
30 +
Can you give 20 tickets to each friend? ---
5
9=
195
- 100
95
139
Do you have
enough tickets left
over to give each
friend another ten
tickets?
695
195
45
-500
-150
- 45
95
- 50
45
195
45
0
How many tickets are left over? Did I distribute all the tickets?
What does it mean if I have tickets left, and I can’t make
another group of 5?
695 ÷ 5 =
139
How many hundreds, tens, and ones did you give each
friend?
Area Model vs. Partial Quotient Model
Area Model
X
100 +
Partial Quotient Model
9 = 139
30 +
9
30
100
5
695
195
45
-500
-150
- 45
-500
195
45
0
-150
5
695
195
45
-45
0
695 ÷ 5 =
139
139
Area Model vs. Partial Quotient Model
Area Model
X
100 +
Partial Quotient Model
9 = 139
30 +
9
30
100
5
695
195
45
-500
-150
- 45
-500
195
45
0
-150
5
695
195
45
-45
0
695 ÷ 5 =
139
139
Area Model vs. Partial Quotient Model
Area Model
X
100 +
Partial Quotient Model
9 = 139
30 +
9
30
100
5
695
195
45
-500
-150
- 45
-500
195
45
0
-150
5
695
195
45
-45
0
695 ÷ 5 =
139
139
Area Model vs. Partial Quotient Model
Area Model
X
100 +
Partial Quotient Model
9 = 139
30 +
9
30
100
5
695
195
45
-500
-150
- 45
-500
195
45
0
-150
5
695
195
45
-45
0
695 ÷ 5 =
139
139
Area Model vs. Partial Quotient Model
Area Model
X
100 +
Partial Quotient Model
9 = 139
30 +
9
30
100
5
695
195
45
-500
-150
- 45
-500
195
45
0
-150
45
5
695
195
-45
0
695 ÷ 5 =
139
139
Area Model vs. Partial Quotient Model
Area Model
X
100 +
Partial Quotient Model
9 = 139
30 +
9
30
100
5
695
195
45
-500
-150
- 45
-500
195
45
0
-150
5
695
195
45
-45
0
695 ÷ 5 =
139
139
7854 tickets÷ 33 friends=
• Area Model
X
• Partial Quotient Model
100 +100 10 +10 +10 +7 +1 =238
7854
33
1
7
10
10
10
100
100
1254
264
33
-3300
- 330
-231
4554
924
33
-3300
1254
-
330
-33
594
0
7854
-3300
4554
- 3300
1254
- 330
924
- 330
594
-330
264
-231
7854÷ 33= 238
-330
33
-33
264
0
238
WARNING: THE GAME YOU ARE ABOUT TO PLAY MAY BE VERY FUNNY AND
FUN, BUT YOU MUST FOLLOW THE FOLLOWING RULES TO CONTINUE HAVING
FUN:
1. When inserting names of people, food objects, or items, make sure the division
story you make is a story your school principal and your grandmother will also find
funny? Keep it clean and appropriate. Persons may be fictional characters,
famous people, or people in your group.
2. Focus on solving the problem. Do not spend too much time laughing or trying to
figure out a name or food. The blanks of the word problem must be filled out in a
maximum 20 seconds.
3. Be respectful to your team members. The team that solves all problems correctly
in a timely manner gets a prize.
Your Turn: Copy these problems first, and then solve these
problems. Fill in the blanks. Be precise and have fun!
Use the Area Model to solve two of these problems and use the Partial
Quotient Model to solve the other two problems:
1) Each year _______________eats about 19 pounds of ___________.
(person)
(funny food)
How many years would it take for ______________ to eat 855 pounds
(same person)
of ___________?
(same food)
2) Each year _______________eats about 14 pounds of ___________.
(person)
(funny food)
How many years would it take for ______________ to eat 1,120 pounds
(same person)
of ___________?
(same food)
3)My class ate a total of 1,566 pounds of _____________ in 2
(funny food)
years. If each person ate the same amount each year, how many pounds of
____________ did each person eat in 1 year?
(same funny food)
4) _________________’s bathroom has 448 _________________
(person)
(clean bathroom object)
arranged in 32 equal rows. How many _____________ are in each row?
(same clean bathroom object)
5) _________________ is helping ______________ with the supply
(person)
(another person)
order for his/her ______________ shop. For next week, the shop
(funny food)
will need 1,450 ounces of ___________________. Each package
(same funny food)
of ______________ weighs 32 ounces. Complete ___________’s
(same funny food)
(first person)
work to find out how many packages of ________________ he
(same funny food)
needs to order.
He needs to order ?
packages of _____________.
Solve the following division problems using the area model and the partial
quotient model. Then write a funny division story for each problem.
1. 648 ÷ 18 = 36
2. 584 ÷ 73 = 8
3. 3186 ÷ 62 = 51 remainder 24
4. 1831 ÷ 51 = 35 remainder 46
Ticket Out
• Solve the following problem using
either the area model or the partial
quotient model:
• 2964 ÷ 82 =
• Write to explain how you solved this
problem?
• Write to explain why you chose the
method you chose?