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Mathematics
Quarter 2 – Module 33:
Visualizes addition and
subtraction of similar
fractions
4
Mathematics – Grade 4
Alternative Delivery Mode
Quarter 1 – Module 33: Visualizes addition and subtraction of similar fractions.
First Edition, 2019
Republic Act 8293, section 176 states that: No copyright shall subsist in any work of
the Government of the Philippines. However, prior approval of the government agency or office
wherein the work is created shall be necessary for exploitation of such work for profit. Such
agency or office may, among other things, impose as a condition the payment of royalties.
Borrowed materials (i.e., songs, stories, poems, pictures, photos, brand names,
trademarks, etc.) included in this book are owned by their respective copyright holders. Every
effort has been exerted to locate and seek permission to use these materials from their
respective copyright owners. The publisher and authors do not represent nor claim ownership
over them.
Published by the Department of Education
Secretary: Leonor Magtolis Briones
Undersecretary: Diosdado M. San Antonio
Printed in the Philippines by ________________________
Department of Education – Bureau of Learning Resources (DepEd-BLR) (Sample)
Office Address: ____________________________________________
____________________________________________
Telefax: ____________________________________________
E-mail Address: ____________________________________________
Development Team of the Module
Authors: Name
Editors: Name
Reviewers:Name
Illustrator: Name
Layout Artist: Name
Proofreader: Name
Management Team: Name of Regional Director
Name of CLMD Chief
Name of Regional EPS In Charge of LRMS
Name of Regional ADM Coordinator
4
Mathematics
Quarter 2 – Module 33:
Visualizing addition and
subtraction of similar
fractions
M4NS-IIf-82.1
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 giving the place value and value of the
digit up to 100 000.
What I Need to Know
This module was designed and written with you in mind. It is here
to help you master skill in visualizing addition and subtraction of
similar fractions. 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
3
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:
 Visualize addition and subtraction of similar fractions.
What I Know
Name the shaded parts of the following.
3.
4.
5.
B. tell whether it is similar fractions or dissimilar fractions
______1. ½, 2/2, 3/2
1.
2.
4
_______2. 3/4, 3/7, 4/6
_______3. 4/5, 6/5, 8/5
_______4. 1/8, 2/8, 4/8
_______5. 1/3, 3/6, 5/8
What’s In
Lesson
34
Visualizing addition and
subtraction of similar
fractions
Reduce its fractions to its lowest term
1.) 6/12
2.) 10/35
3.) 8/48
4.) 13/39
5.) 9/27
Put a check (/) before each item if the given fractions is in its
lowest term and cross (x) if it is not
1.)_____3/7
2.)_____2/28
3.)_____8/134
4.)_____3/5
5.) _____4/25
5
What’s New
Read the problem.
What part of a kilometres did John jog one morning? What
about Raul?
What does the problem ask you find?
How will you solve for the answers to the problem?
Using the fraction bar solve for 5/8 + 3/8 = n
1/8 1/8 1/8 1/8 1/8 1/8 1/8 1/8
5/8 + 3/8
1/8 1/8 1/8 1/8 1/8 1/8 1/8 1/8
5/8 + 3/8 = 8/8 or 1
Anwer: John and Raul jogged a distance of 8/8 or 1 kilometres
How much farther did John jog than Raul?
Using number line we can show the answer
John and Raul jog regularly. One morning , John
jogged 5/8 km while Raul jogged 3/8 km. How many
kilometres did John and Raul jog altogether? How much
farther did John jog than Raul?
6
/ / / / / / / / /
0 1/8 2/8 3/8 4/8 5/8 6/8 7/8 8/8
5/8 - 3/8 = 2/8 or ¼ km farther than Raul
What is It
It is easy to visualized addition and subtraction of
similar fraction by using fraction chart, regions or number
line.
For example:
2/10 +8/10 = 10/10 or 1
3/5 – 2/5 = 1/5
2/6 + 3/6 = 5/6
7
What’s More
A. Draw a model for each number sentence
1. 7/11 – 3/11
2. 9/13-7/13
3. 2/8 + 1/8
4. 1/8 + 4/8
5. 4/9 – 3/9
B. Find the sum or difference and express your answer in
lowest term if possible.
1. ¾ -2/4 =
2. 5/7 – 3/7 =
3. 8/9 + 5/9 =
4. 10/12 + 6/12
5. 2/6 +2/6 =
C. Find the sum or difference and express your answer in lowest
term if possible
1. 3/7 + 1/7=
2. 5/12 + 3/12 =
3. 4/15 – 1/15 =
4. 3/8 – 2/8 =
5. 6/9 – 3/9 =
8
What I Have Learned
How do visualized addition and subtraction of
similar fractions?
 In visualizing the sum or difference of similar fractions, we
may use a fraction chart, regions or a number line.
What I Can Do
Read the problem then, answer the question that follow
Liza bought bibingka. She sliced it into 8 equal
pieces, She ate 1/8 and Danny ate 3/8. What part of
the bibingka they eat?
How will you draw a picture to represent the problem?
How is the solution done? Show your solution
What is the complete answer?
Assessment
A. Draw each number sentence by writing the missing fraction.
Then used or make the shaded regions to show the number
sentence.
1.) 2/8 + ____ = 6/8
2.) 9/10 - ____ = 5/10
3.) 6/10 - ____ = 1/10
4.) _____ + 5/12 = 11/12
5.) 18/18 – 11/18 = _____
B. Find the sum or difference. Shade using crayons to show the
answer.
9
6.)
2/8 + 4/8 =
7.)
4/10 + 4/10 =
8.)
2/4 - ¼ =
9.)
4/6 - 2/6 =
10.)
6/9 - 3/9 =
10
Additional Activities
Draw units or regions to show the addition and subtraction
sentences.
1. 1/8 + 4/8 =
2. 5/11 – 2/11 =
3. 9/13 – 2/13 =
4. 5/12 + 3/12 =
5. 7/15 + 4/15 =
11
Answer Key
What
I
Know
1.
)
3/4
2.
)
9/9
3.
)
10/12
4.
)
2/2
5.
)
10/12
B.
1.
similar
2.
dissimilar
3.
similar
4.
similar
5.
dissimilar
What's
In
1.)
1/2
2.)
2/7
3.)
1/6
4.)
1/3
5.)
1/3
B
1.)
/
2.)
X
3.)
X
4.)
/
5.)
/
Assessment
A
1.)
4/8
2.)
4/10
3.)
5/10
4.)
7/12
5.)
9/18
or
1/2
B.
6.)
6/8
or
3/4
7.)
8/10
or
4/5
8.)
1/4
9.
)
2/6
or
1/3
10.
)
3/9
or
1/3
What
I
Can
Do
3/8
1/8
3/8
+
1/8
=
4/8
or
1/2
W
hat’s
M
ore
1.
4/11
2.
2/13
3.
1/8
4.
5/8
5.
1/9
B.
1.
¼
2.
2/7
3.
13/9
4.
16/12
or
4/3
5.
4/6
or
2/3
C.
1.
4/7
2.
8/12
or
2/3
3.
3/15
or
1/3
4.
1/8
5.
3/9
or
1/3
Additional
Activities
1.)
5/8
2.)
3/11
3.)
7/13
4.)
8/12
or
4/3
5.)
11/15
12
References
1) K-12 Curriculum Guide in Mathematics, pp.14
2) Learner’s Materials in Mathematics Grade 4
For inquiries or feedback, please write or call:
Department of Education – (Bureau/Office)
(Office Address)
Telefax:
Email Address:

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Mathematics module 33 visualizing addition or subtraction of similar fractions

  • 1. Mathematics Quarter 2 – Module 33: Visualizes addition and subtraction of similar fractions 4
  • 2. Mathematics – Grade 4 Alternative Delivery Mode Quarter 1 – Module 33: Visualizes addition and subtraction of similar fractions. First Edition, 2019 Republic Act 8293, section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. However, prior approval of the government agency or office wherein the work is created shall be necessary for exploitation of such work for profit. Such agency or office may, among other things, impose as a condition the payment of royalties. Borrowed materials (i.e., songs, stories, poems, pictures, photos, brand names, trademarks, etc.) included in this book are owned by their respective copyright holders. Every effort has been exerted to locate and seek permission to use these materials from their respective copyright owners. The publisher and authors do not represent nor claim ownership over them. Published by the Department of Education Secretary: Leonor Magtolis Briones Undersecretary: Diosdado M. San Antonio Printed in the Philippines by ________________________ Department of Education – Bureau of Learning Resources (DepEd-BLR) (Sample) Office Address: ____________________________________________ ____________________________________________ Telefax: ____________________________________________ E-mail Address: ____________________________________________ Development Team of the Module Authors: Name Editors: Name Reviewers:Name Illustrator: Name Layout Artist: Name Proofreader: Name Management Team: Name of Regional Director Name of CLMD Chief Name of Regional EPS In Charge of LRMS Name of Regional ADM Coordinator
  • 3. 4 Mathematics Quarter 2 – Module 33: Visualizing addition and subtraction of similar fractions M4NS-IIf-82.1
  • 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 giving the place value and value of the digit up to 100 000. What I Need to Know This module was designed and written with you in mind. It is here to help you master skill in visualizing addition and subtraction of similar fractions. 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
  • 5. 3 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:  Visualize addition and subtraction of similar fractions. What I Know Name the shaded parts of the following. 3. 4. 5. B. tell whether it is similar fractions or dissimilar fractions ______1. ½, 2/2, 3/2 1. 2.
  • 6. 4 _______2. 3/4, 3/7, 4/6 _______3. 4/5, 6/5, 8/5 _______4. 1/8, 2/8, 4/8 _______5. 1/3, 3/6, 5/8 What’s In Lesson 34 Visualizing addition and subtraction of similar fractions Reduce its fractions to its lowest term 1.) 6/12 2.) 10/35 3.) 8/48 4.) 13/39 5.) 9/27 Put a check (/) before each item if the given fractions is in its lowest term and cross (x) if it is not 1.)_____3/7 2.)_____2/28 3.)_____8/134 4.)_____3/5 5.) _____4/25
  • 7. 5 What’s New Read the problem. What part of a kilometres did John jog one morning? What about Raul? What does the problem ask you find? How will you solve for the answers to the problem? Using the fraction bar solve for 5/8 + 3/8 = n 1/8 1/8 1/8 1/8 1/8 1/8 1/8 1/8 5/8 + 3/8 1/8 1/8 1/8 1/8 1/8 1/8 1/8 1/8 5/8 + 3/8 = 8/8 or 1 Anwer: John and Raul jogged a distance of 8/8 or 1 kilometres How much farther did John jog than Raul? Using number line we can show the answer John and Raul jog regularly. One morning , John jogged 5/8 km while Raul jogged 3/8 km. How many kilometres did John and Raul jog altogether? How much farther did John jog than Raul?
  • 8. 6 / / / / / / / / / 0 1/8 2/8 3/8 4/8 5/8 6/8 7/8 8/8 5/8 - 3/8 = 2/8 or ¼ km farther than Raul What is It It is easy to visualized addition and subtraction of similar fraction by using fraction chart, regions or number line. For example: 2/10 +8/10 = 10/10 or 1 3/5 – 2/5 = 1/5 2/6 + 3/6 = 5/6
  • 9. 7 What’s More A. Draw a model for each number sentence 1. 7/11 – 3/11 2. 9/13-7/13 3. 2/8 + 1/8 4. 1/8 + 4/8 5. 4/9 – 3/9 B. Find the sum or difference and express your answer in lowest term if possible. 1. ¾ -2/4 = 2. 5/7 – 3/7 = 3. 8/9 + 5/9 = 4. 10/12 + 6/12 5. 2/6 +2/6 = C. Find the sum or difference and express your answer in lowest term if possible 1. 3/7 + 1/7= 2. 5/12 + 3/12 = 3. 4/15 – 1/15 = 4. 3/8 – 2/8 = 5. 6/9 – 3/9 =
  • 10. 8 What I Have Learned How do visualized addition and subtraction of similar fractions?  In visualizing the sum or difference of similar fractions, we may use a fraction chart, regions or a number line. What I Can Do Read the problem then, answer the question that follow Liza bought bibingka. She sliced it into 8 equal pieces, She ate 1/8 and Danny ate 3/8. What part of the bibingka they eat? How will you draw a picture to represent the problem? How is the solution done? Show your solution What is the complete answer? Assessment A. Draw each number sentence by writing the missing fraction. Then used or make the shaded regions to show the number sentence. 1.) 2/8 + ____ = 6/8 2.) 9/10 - ____ = 5/10 3.) 6/10 - ____ = 1/10 4.) _____ + 5/12 = 11/12 5.) 18/18 – 11/18 = _____ B. Find the sum or difference. Shade using crayons to show the answer.
  • 11. 9 6.) 2/8 + 4/8 = 7.) 4/10 + 4/10 = 8.) 2/4 - ¼ = 9.) 4/6 - 2/6 = 10.) 6/9 - 3/9 =
  • 12. 10 Additional Activities Draw units or regions to show the addition and subtraction sentences. 1. 1/8 + 4/8 = 2. 5/11 – 2/11 = 3. 9/13 – 2/13 = 4. 5/12 + 3/12 = 5. 7/15 + 4/15 =
  • 14. 12 References 1) K-12 Curriculum Guide in Mathematics, pp.14 2) Learner’s Materials in Mathematics Grade 4
  • 15. For inquiries or feedback, please write or call: Department of Education – (Bureau/Office) (Office Address) Telefax: Email Address: