Transcript Module 3: Lesson 11

Module 3: Lesson 14
Division Word Problems
with and without Remainders
Lesson Objective
 After this lesson, you will be able to:
 Solve word problems with and without
remainders using arrays
Application Problem
Can you solve this problem using an array?
Veruca has 27 people coming to her house
for Thanksgiving dinner. There are big
tables set up for groups of 8 and a small
table set up for the left over people who
couldn’t fit at one of the bigger tables. How
many people will sit at the small table?
3 people
There are 12 students in PE class
separated into 4 equal teams. How
many students are on each team?
12 ÷ 4 =
Let’s draw an array to represent the division.
1
2
3
4
How many
students are
on each
team?
3
What is a division expression that
matches this problem?
1
2
3
4
How many
students are
on each
team?
3
12 ÷ 4 = 3
What is the quotient?
How can we check this problem using
multiplication?
12 ÷ 4 = 3
Multiply the quotient by the
divisor 3 x 4
If the product you get is the same as
the dividend, then you solved it
correctly.
Solve 13 ÷ 4 using an array
1
2
3
4
4 groups are equal and there is 1 left
over.
The left over is called the remainder.
Solve 13 ÷ 4 using an array
1
2
3
4
How many are in each group?
How many are left over?
What is the quotient?
1
3r1
3
How can we check this problem
using multiplication?
13 ÷ 4 = 3 r 1
Multiply 3 x 4, then add the remainder.
3 x 4 = 12
12 + 1 = 13
If the number you end
up with is the dividend
you started with, then
you solved the problem
correctly.
Interpreting the remainder
3 Options
 The remainder is the answer
 Drop the remainder
 Add 1 to the answer/quotient to
include the remainder
Allison has 22 meters of fabric to sew
dresses. She uses 3 meters of fabric
for each dress. After how many
dresses will Allison need to buy more
fabric?
How many dresses can she complete?
What’s the remainder?
1
7
Allison has 22 meters of fabric to sew
dresses. She uses 3 meters of fabric
for each dress. After how many
dresses will Allison need to buy more
fabric?
The quotient is 7 r 1
7
Application Problem
Can you solve this problem using an array?
Veruca has 27 people coming to her house
for Thanksgiving dinner. There are big
tables set up for groups of 8 and a small
table set up for the left over people who
couldn’t fit at one of the bigger tables. How
many people will sit at the small table?
Veruca has 27 people coming to her house
for Thanksgiving dinner. There are big
tables set up for groups of 8 and a small
table set up for the left over people who
couldn’t fit at one of the bigger tables. How
many people will sit at the small table?
3 people
Your Turn
 Complete the Exit Ticket on your
own.
 You may work on the Problem
Set pages with a partner.