1. Make a Funny Partial Quotient Division Story
Using an Area Model of Division and a Partial Quotient Model

2. 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?

3. How many hundreds, tens, and ones did you give each friend?
Subtract from the Dividend or theTickets Until Everyone has the Same Number of Tickets
20+10 X
100 +
30 +
9 =
139
195
100 95
Can you give 20 tickets to each friend? ---
Do you have enough tickets left over to give each friend another ten tickets?
695
195 45 5
-500 95 50 45
-150
- 45
195 45
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?

4. Area Model vs. Partial Quotient Model X
100 +
30 +
9 =
139 9 30
139
100 5
695
195 45
-500
-500
-150
- 45
195
195 45
-150 45
-45
695 ÷ 5 =
139

5. Area Model vs. Partial Quotient Model X
100 +
30 +
9 =
139 9 30
139
100 5
695
195 45
-500
-500
-150
- 45
195
195 45
-150 45
-45
695 ÷ 5 =
139

6. Area Model vs. Partial Quotient Model X
100 +
30 +
9 =
139 9 30
139
100 5
695
195 45
-500
-500
-150
- 45
195
195 45
-150 45
-45
695 ÷ 5 =
139

7. Area Model vs. Partial Quotient Model X
100 +
30 +
9 =
139 9 30
139
100 5
695
195 45
-500
-500
-150
- 45
195
195 45
-150 45
-45
695 ÷ 5 =
139

8. Area Model vs. Partial Quotient Model X
100 +
30 +
9 =
139 9 30
139
100 5
695
195 45
-500
-500
-150
- 45
195
195 45
-150 45
-45
695 ÷ 5 =
139

9. Area Model vs. Partial Quotient Model X
100 +
30 +
9 =
139 9 30
139
100 5
695
195 45
-500
-500
-150
- 45
195
195 45
-150 45
-45
695 ÷ 5 =
139

10. 7854 tickets÷ 33 friends= Area Model Partial Quotient Model 7 X 100
+100 10
+10
+10 +7 +1
=238 10 10
238 10
7854
1254
264
100
100 33
7854 33
-3300
-231
-3300
4554
- 3300
4554
924 33
1254
- 330
-3300
924
-33
594
1254
594
-330
264
-231
-330 33
-33
7854÷ 33=
238
264

11. 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:
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.
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.
Be respectful to your team members. The team that solves all problems correctly in a timely manner gets a prize.

12. Your Turn: Copy these problems first, and then solve these problems
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:
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 ___________.
How many years would it take for ______________ to eat 1,120 pounds

13. 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
of ______________ weighs 32 ounces. Complete ___________’s
(same funny food) (first person)
work to find out how many packages of ________________ he
needs to order.
He needs to order ? packages of _____________.

14. Solve the following division problems using the area model and the partial quotient model. Then write a funny division story for each problem.
648 ÷ 18 =
÷ 73 =
÷ 62 =
÷ 51 = 36 8
51 remainder 24
35 remainder 46

15. Ticket Out
Solve the following problem using either the area model or the partial quotient model:
2964 ÷ =
Write to explain how you solved this problem?
Write to explain why you chose the method you chose?