The document provides information about a mathematics module for 4th grade students covering creating word problems involving multiplication, addition, subtraction, and division of whole numbers and money. The module aims to have students solve multi-step problems and create their own word problems with reasonable answers. It includes lessons that familiarize students with the key terms and concepts used in word problems, provide examples of created word problems and their solutions, and assess students' ability to create and solve new word problems using given data.

1. Mathematics
Quarter 1 – Module 12
Creating Problems (with
reasonable answers) involving
multiplication or with
addition or subtraction of
whole numbers including
money
4

2. Mathematics – Grade 4
Alternative Delivery Mode
Quarter 1 – Module 12: Creates problem (with reasonable answers) involving
multiplication or with addition or subtraction of whole numbers including money
First Edition, 2019
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Published by the Department of Education
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Undersecretary: Diosdado M. San Antonio
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3. 4
Mathematics
Quarter 1 – Module 12:
Creating Problems (with
reasonable answers) involving
multiplication or with
addition or subtraction of
whole numbers including
money

4. 2
Introductory Message
For the facilitator:
 Orient the learners and support the parents, elder sibling etc. of the
learners on how to use the module.
 Remind the learners to use separate sheets in answering the pre-test,
self-check exercises, and post-test.
For the learner:
 Examine carefully the module objectives.
 Read the module exercises and try to answer them to the best of your
ability
 Study and work on every part of the module at your own.
 Answer the quiz in the module. Evaluate your score by comparing your
answer to the key to corrections found at the back of this module.
 Answer honestly by not looking the answers at the back of the module.
 Keep this module clean. Do not write anything on any page.
 If there are unclear areas, do not hesitate to seek help from your
teacher.
 This module focuses on dividing 3 – to 4 digit numbers by 1- to 2 digit
numbers without or with remainder.
What I Need to Know
This module was designed and written with you in mind. It is here to help you
master skill in creating math word problems using money. These problems will
include all four operations (addition, subtraction, multiplication, and division). Students
will solve problems involving multiple steps (for example, students may be asked to
first add, then subtract). Lastly, students will solve money problems using simple way
to answer. The scope of this module permits it to be used in many different
learning situations. The language used recognizes the diverse vocabulary level
of students. The lessons are arranged to follow the standard sequence of the
course. But the order in which you read them can be changed to correspond
with the textbook you are now using.
After going through this module, you are expected to:

5. 3
 Solve money problems using all four operations (addition, subtraction,
multiplication, and division)
 Solve multi-step problems (e.g. first multiply, then subtract)
 Creating problems with reasonable answers
What I Know
Warm Up
Operations and Key Words in Word Problems
The chart below shows common terms for the 4 operations found in many word
problems.
Add Subtract Multiply Divide
Total Difference Each Each
In all Less than Row Split
Together/ All together
How many
more
Group Row
And Minus Total Half
Sum Left over Double Fourth
Below are some examples of key words in word problems.
 Jackson has 250 baseball cards and 175 football cards. How many baseball
and football cards does he have in all? (Add 250 + 175 = 425 cards).
A. Let’s explore and discover. Analyze and solve the problem.
Can you arrange the sentences to form a word problem:
How many of her cousin can she invite?
Each ticket costs Php 85?
She has Php 500?

6. 4
Lesson
24
Creating Problems Involving
Division without or with any
other operations of whole
numbers
What’s In
A. Read and analyze the data to be used in creating a problem. Can you
create and have a solution to answer it.
B. Can you complete the word problem below and solve for the correct
answer.
Mother and Ben went to the . She bought
What was the ?
Cindy wants to invite her cousins to see a volleyball
game with her?
 240 chairs in the gymnasium
 Number of rows can be made
 20 chairs in a row
 An occasion to be held in gymnasium

7. 5
What’s New
Do you agree that this is the correct arrangement? Why?
Is there any other arrangement? Can you show other arrangements?
Does you work make sense?
Now let us solve the problem
Solution 5 r.75
85 √ 500
-425
75
This the things to be followed in creating word problems
A. We familiarized ourselves with the concepts of the four operations
B. We thought of the type of problem we want to create
C. We read some sample problems and studied their solutions.
Let us have another examples
Study the story problems given below. Complete each problem by
creating a question for what is asked. Then solve the problem.
Camille sells flowers. She buys 300 flowers and arranges 12 flowers
per bouquet.
Question:_______________________________________________________________?
Solution and Answer:
Cindy wants to invite her cousins to see a volleyball game with
her. She has Php 500. Each ticket costs Php 85. How many of her
cousins can she invite?

8. 6
What is It
We create a word problem to be familiar with the concepts in math
and think of the type of problem to be created then read some samples of
word problems and study their solutions. Also check if the answer to the
problem you have created and solved is correct and all of the given data
needed to solve the problem should be there.
What’s More
A. Create a problem using the given data. Then solve the problem
.
1. * Richmond joined a fund raising project
 500 tickets he needs to sell
 275 tickets he already sold
 He can sell 25 tickets per day
 Number of days he can sell all the remaining tickets
2. * Kristine bought 75 beads
 9 beads to make a necklace
 Number of necklace made
B. Create a problem using the given data. Then solve the problem
1. Given: Php 1,250- total sales in selling newspaper
Php 25 – cost of a newspaper
Asked: number of newspaper sold
Problem:____________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________

9. 7
2. Given: 4180 marbles collected
24 marbles in a set
Asked: number of excess marbles
Problem:_________________________________________________________________________
__________________________________________________________________________________
__________________________________________________________________________________
What I Have Learned
How to create a word problem?
Remember this:
 Be familiar with the concepts in Math
 Think of the type of problem to be created
 Read some samples of the word problems and study their solutions.
To check if the answer to the problem you have created and solve is
correct.
 All the given fata needed to solve the problem should be there.
 The answer must be the answer to what is asked for and must be
reasonable.
What I Can Do
Study the story problem given below. Complete the problem by
creating a question for what is asked. Then solve the problem
1. Leo has 178 nails to put in packages. Each pull package will have 24
nails.
Questions:
_______________________________________________________________
_______________________________________________________________
Solution and answer

10. 8
2. A grocery owner ordered 276 large sized eggs and 144 medium sized
eggs. The eggs were delivered in cartons of 30 eggs each
Question:
_____________________________________________________________________
_____________________________________________________________________
Solution and answer:
3. Ben has 42 seashells, He places an equal number of seashells in
different boxes?
Question:
_____________________________________________________________________
_____________________________________________________________________
Solution and answer:
Assessment
A. Create a problem using the given data. Then solve the problem
1. Given: Php 1250 – total sales in selling newspaper
Php 25 – cost of a newspaper
Asked: number of newspaper sold
Problem:____________________________________________________________
_____________________________________________________________________
Solution and Answer
2. Given: 1945 total number of guavas gathered
43 guavas in a basket
Asked: number of guavas not placed in the basket
Problem:____________________________________________________________
_____________________________________________________________________
Solution and answer
3. Given: Php 2 400 – gross sales in selling sweet corn
Php 12 – cost of a sweet corn
Asked: number of sweet corns sold
Problem:____________________________________________________________
_____________________________________________________________________
Solution and answer

11. 9
4. Given: 192 collected stamps
24 stamps in an album
Asked: total number of album used
Problem:____________________________________________________________
_____________________________________________________________________
Solution and answer
5. Given: 12 048 – strawberries harvested
24 – strawberries in a basket
Asked: total number of basket used
Problem:____________________________________________________________
_____________________________________________________________________
Solution and answer
B. Use the data inside the box to complete the problem below and solve
the problem.
1. Bacoor Elementary School has in Grade Four with
How many pupils are there in one section
2. Mr. Gutierrez borrowed for his class. If
of different titleswere given to each of her pupils, How many pupils are there
in class?
3. A Kapuso Foundation donated for the indigent pupils. If
there were , How many canned goods did each child
received?
4. There were delivered to a library. How many books will be
placed in a bookshelf if there were
5. Mrs. Boldios bought a television by instalment. How much will she pay
monthly if in time, she will have to pay ?
Additional Activities
Make your own problem.
Problem:_________________________________________________________________________
__________________________________________________________________________________
Solution and Answer
360 pupils 384 cannedgoods
405 books 1000 Mathematicsbooks
Php13, 560 8 sections twoyears
9 books 12 indigents 8 bookshelves

12. 10
Answer Key
What
can
I
do
1.
How
many
package
make
in
178
nails?
Answer
7
package
2.
How
many
cartons
of
eggs
delivered?
Answer:
14
carton
3.
How
many
boxes
of
shell
he
have?
Answer;
7
or
6
boxes
What's
In
A-B.
The
answer
must
be
based
on
the
ideas
of
the
pupils
The
solution
on
letter
A
12
rows
with
20
chairs
What’s
more
In
creating
Problem
it
based
upon
how
the
pupils
arrange
it.
1.
Solution
500
+275=775
/
25=
31
days
2.
75
/
9
=
8
neclace
B.
based
on
how
the
pupils
create
a
problem
Assessment
3.
384
canned
goods
12
indigent
Answer:
32
4.
1000
Mathematics
books
8
bookshelves
Answer:
125
5.
Php
13560
2
years
Answer
P
Assessment
A.
Problem
based
on
how
the
pupil
create
it
1.)
50
2.)
10
3.)
200
4.)
8
5.)
502
B.
1.
8
sections
360
pupuls
Answer
45
2.
405
books
9
books
Answer:
45
Additional
Activities

13. 11
References
1) K-12 Curriculum Guide in Mathematics, p.49-52 , 53-
55
2) Learner’s Materials in Mathematics Grade 4

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