Make a Funny Partial Quotient Division Story Using an Area Model of Division and a Partial Quotient...
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Make a Funny Partial Quotient Division Story Using an Area Model of Division and a Partial Quotient Model
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Transcript of Make a Funny Partial Quotient Division Story Using an Area Model of Division and a Partial Quotient...
Make a Funny Partial Quotient Division StoryUsing 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
5
100 + 30 + 9 = 139
695 195
-500
45
- 45-150
0 45195
695 ÷ 5 = 139
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?
How many hundreds, tens, and ones did you give each friend?
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?
95 - 50
45
20+10
Area Model vs. Partial Quotient ModelArea Model
Partial Quotient Model
5 695
X
5
100 + 30 + 9 = 139
695 195
-500
45
- 45-150
0 45195
695 ÷ 5 = 139
100
-500
195
-150 45
-45
0
30
9 139
Area Model vs. Partial Quotient ModelArea Model
Partial Quotient Model
5 695
X
5
100 + 30 + 9 = 139
695 195
-500
45
- 45-150
0 45195
695 ÷ 5 = 139
100
-500
195
-150 45
-45
0
30
9 139
Area Model vs. Partial Quotient ModelArea Model
Partial Quotient Model
5 695
X
5
100 + 30 + 9 = 139
695 195
-500
45
- 45-150
0 45195
695 ÷ 5 = 139
100
-500
195
-150 45
-45
0
30
9 139
Area Model vs. Partial Quotient ModelArea Model
Partial Quotient Model
5 695
X
5
100 + 30 + 9 = 139
695 195
-500
45
- 45-150
0 45195
695 ÷ 5 = 139
100
-500
195
-150 45
-45
0
30
9 139
Area Model vs. Partial Quotient ModelArea Model
Partial Quotient Model
5 695
X
5
100 + 30 + 9 = 139
695 195
-500
45
- 45-150
0 45195
695 ÷ 5 = 139
100
-500
195
-150 45
-45
0
30
9 139
Area Model vs. Partial Quotient ModelArea Model
Partial Quotient Model
5 695
X
5
100 + 30 + 9 = 139
695 195
-500
45
- 45-150
0 45195
695 ÷ 5 = 139
100
-500
195
-150 45
-45
0
30
9 139
7854 tickets÷ 33 friends=
• Area Model • Partial Quotient Model
X 10
7854÷ 33= 238
7854
33 -3300
100 +100
4554
-3300
1254
1254
- 330
924
- 330
594
+10 +10 +7 +1
264
-330
264
=238
-231
33
-33
0
1 7
1010
100100
785433
-33004554
- 3300
1254
- 330 924- 330
594-330
264-231
33-33
0
10
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 =
2. 584 ÷ 73 =
3. 3186 ÷ 62 =
4. 1831 ÷ 51 =
36
8
51 remainder 24
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?
