Learner’s Activity Sheet

Assessment Checklist

MATHEMATICS
Quarter 1 – Week 2

Multiplication of Fractions

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Learner

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Section

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Teacher

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Parent or Guardian

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School

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Date of Retrieval
6
 TEACHER’S REFERENCE GUIDE

Grade Level 6 Quarter 1st

Subject Mathematics Week 2

Teacher Duration 5 days
I. OBJECTIVES
1. Multiplies simple fractions and mixed numbers.
2. Solves routine and non-routine problems involving multiplication of
fractions using appropriate problem-solving strategies and tools.

A. Content Standard
The learner demonstrates understanding of the four fundamental
operations involving fractions and decimals.

B. Performance Standard
The learner is able to apply four fundamental operations involving
fractions and in decimals in mathematical problems and real – life
situation.

C. MELC
Multiplies simple fractions and mixed numbers.
Solves routine and non-routine problems involving multiplication of
fractions using appropriate problem-solving strategies and tools.

II. SUBJECT MATTER MULTIPLICATION of FRACTIONS

a. References Division Module Math 6/ MELC MATH 6/CG6, 21st
Century MATHletes Textbook G6 page 16

b. Materials Modules, Textbook

c. Integration Health, Saving Money

III. PROCEDURES
A. ACTIVITY Activity 1: This activity will measure the previous
(DO) knowledge on operations of fractions.

B. ANALYSIS Activity 2: Help students to conceptualize the

(THINK) lesson by solving simple mathematical
problems in real-life situations involving
fractions.

C. ABSTRACTION Activity 3: An Overview of Multiplication of

(LEARN) Fractions includes;
 Mixed Fractions
 Generating general rule in
multiplying fractions.
 D. APPLICATION Let us put students’ understanding to the test by
(APPLY) answering the following exercises (Activity 4).

A. Shade the fractional parts

B. Multiply: Find the product of the given
fractions
C. Problem Solving

IV. EVALUATION Activity 5

A. Multiplication of fractions.
Previous knowledge on dealing with fractions
has been discussed. The learners able to recall
steps on how to multiply simple fractions and
mixed numbers.

B. Fill in the blanks

The learners conceptualize the process of
operations after knowing the key ideas of
dealing it and performing series of examples on
how to multiply simple fractions and mixed
numbers.

C. Worded Problem
Here is another activity that lets students apply
what they learned about Multiplication of
Fractions by relating it to real-life situation.

V. SELF-ASSESSMENT Instruct the learner to answer the and Self-

Assessment.
 LEARNERS ACTIVITY SHEET (LAS)

Dear Learner,
Good Day!
Welcome to our Mathematics subject. Below are your learning activities for the
whole week. Please carefully understand and follow the instructions
provided. If you encounter any difficulty in answering the task in this activity
sheet, do not hesitate to ask for support from your parents or anyone whom
you think can help you do the activities. You can ask via SMS or call
_________________________, messenger________________ or email at
________________________. Always bear in mind that YOU ARE NOT ALONE.
Most importantly, be free and creative in doing the activities. I hope you will
experience meaningful learning and gain deep understanding of the relevant
competencies amidst the COVID-19 pandemic. You can do it! Stay safe! Stay
learning! Have fun! God Bless.
Sincerely,
Your Teacher

Multiplication of Fractions
This activity will help measure the previous
knowledge on operations of fractions.

A. Evaluate the following expressions. If possible express your answer to

lowest term. Choose the number inside the box that corresponds to your
answer.
a.
5 3 1 6
2. 35 𝑥 5 = 1. 2 𝑥 8 = 2 2
3. 5 𝑥 3 =
5 3
4. 𝑥 = 2 1
6 4 5. 𝑥 =
3 2

1 1
b. 1.
3
14 𝑥 16 =
5
3. 13 𝑥 15 = 5. 1 3
35 𝑥 56 =

1 1
2. 13 𝑥 25 = 4.
1
25 𝑥 36 =
5
 A. Finding the sum of the shaded part as illustrated below .

a.

=______
( 3 one-fourths is what number?)

b.

+ + + = ______

( 4 two-thirds is what number ? )

c.

+ = ______

( 2 three-fifths is what number ? )

3 3
d. + = ____
4 5

5 1
e. + = ____
8 2

Must think!

This activity will help you understand how to deal with problem involving
simple fractions at home.

A. Problems on Multiplication of Simple Fractions

Engage: Problem:
3
During pandemic, a farmer plowed of his field to sustain food
4
2
for his family. Then he planted vegetables on of the plowed
3
part. What fractional part of his field was planted with
vegetables?
 2 3
Explore: To solve the problem alone, we need to multiply and .
3 4
2 3
The Mathematical Sentence is: x = _______________
3 4

2 3
To find the product of and , consider the following models below.
3 4

3 2 3
𝑜𝑓
4 3 4

Overlapping the models for

3 2
and , the combination of
4 3
the color part (yellow-green)
6
1 represents 12 of the whole.
6 1
2 is also equal to
12 2
𝟏
Answer: of the whole field is planted
𝟐

We can also solve the problem this way:

Multiply the numerators

2 3 2𝑥3
𝑥 = Multiply the denominators
3 4 3𝑥4
6 1
= 𝑜𝑟 The resulting product, if possible
12 2 simplify or reduce to its lowest term.

Questions:
1. What fraction of the field is plowed?
2. What fraction of the plowed part is planted with vegetables?
3. What fraction of the field is the part planted?
4. What equation translate?
 Example 1 Problem:
6 1
Mary has kg of sugar. She used of it for champorado. How
7 2
much sugar did Mary use for champorado?
Write your answer here:

B. Problems on Multiplication of Mixed Numbers

Engage: Problem:
1
Jamir harvested 5
2 kilograms of pechay from his vegetable
3
garden. He sold of it in the market and the rest in the
5
neighborhood. How many kilograms were sold in the market?
3 1
Explore: To solve the problem alone, we need to multiply and 5 2 .
5
3 1
The Mathematical Sentence is: x 5 2 = _______________
5
3 1 3 1
5
of 5 2 5
x5 2
=N
3 1
x 52 = write the equation
5
3 11 change the mixed form to improper fraction
x =N
5 2 (5
1
2
to
11
2
)
How: denominator (2) x whole number (5) +
numerator (1), copy the common
denominator (2)
(2 𝑥 5) +1 11
=
2 2

3 𝑥 11 Multiply the numerator

5𝑥2 Multiply the denominator

33 3
= 3 10 Express the product in simplest form.
10
3
Answer: 3 10 kg of pechay were sold in the market
 What’s New

In Lesson 1, addition and subtraction of fraction were taught after being

given the general rule or step on how to add and subtraction fractions. In this
lesson, the multiplication of fraction is done. That is, given some examples of
multiplying fractions, try to find the product of each.Here are some examples.
Mutiplication of Simple Fraction

Example 1 1 3
Multiply: x
2 4
1 3 1𝑥3 Multiply the numerators
x = Multiply the denominators
2 4 2𝑥4
3
Answer:
8
Example 2 3 1
Multiply: x
5 4
3 1 3𝑥1 Multiply the numerators
x = Multiply the denominators
5 4 5𝑥4
3
Answer:
20
Example 3 2 3
Multiply x4
3
2 3 2𝑥3 Multiply the numerators
x = 3𝑥4 Multiply the denominators
3 4
6 1 6 1
Answer: or The simplest form of is
12 2 12 2
Example 4
2 3
Multiply x
6 4
2 3 2𝑥3 Multiply both numerators
x
6 4
= 6𝑥4 and the denominators

2𝑥3 Get the common factors of

= both numerators and
2𝑥3𝑥4 denominators
2 3 1
= 𝑥 𝑥 Group them according to their
2 3 4
common factor
1
=1 x 1 x
4
1
Answer:
4
 Hence, the general rule to multiply simple fractions:

Multiplication of Mixed Numbers

Example 1

2 1
Multiply: x 72 = N the equation
5
2 15
x change the mixed form to improper fraction
5 2
1 15
( 72 2
)

1 3
2 𝑥 15 Get the GCF or Greatest Common
5𝑥2 Factor of any of the numerator and
1 1 denominator. Simply by cancellation.
2÷2=1 15 ÷5=3
2 𝑥 15
5𝑥2
5÷5=1 2 ÷2=1

1𝑥3 3
= Multiply both numerators and
1𝑥 1 1
𝟑 denominators
or 3 Answer
𝟏

Example 2 1 2𝑥3 6
2 x1
2 = = =3
1𝑥2 2

Example 3 1 6𝑥9 27 1
6 x2
4 = = = 13
1𝑥4 2 2
You may apply cross cancellation

Example 4 1 1 1 16 1 𝑥 16 16 7
3
x5
3 = 3
𝑥 3
= 3𝑥3
=
9
=1 9
Hence, the general rule to multiply mixed numbers:

Let us put your understanding to the test by answering the following

activities below.

A. Shade My Part
Use the given models to show your answer to the following mathematical
sentences.
1
1.
2
𝑥 3 =

1 2
2. 𝑥 =
3 3

1
3. 𝑥 6 =
6

3 1
4. 𝑥 =
8 2

B. Multiply
Find the product for the following equation. Simplify your answer to
its lowest term.

1.
1
3
x 24 =
1
________________________________

2. 4
1
2
x
1
5
= ________________________________

3. 3 x 2
3
4
= ________________________________
 4. 1
1
3
x 4 =
1
5
________________________________
5. 1
4
5
x 4 = ________________________________
C. Problem Solving:
1 1
Sarah picked 4 bags of mangoes at the farm and 1 2 bags of guavas.
2
1
Each bag weighs 2 2 kilograms. How many kilograms of mangoes and guavas
did Sarah pick

After all the activities you have done so far, it’s now time to check how
much you have learned from the lesson.
A. Multiply the following fractions.
2 2
1. x =N
3 7

3 8
2. x =N
5 10

2 6
3. x =N
18 10

5 2
4. 2 10 x =N
2

3 5
5. 5 x2 =N
4 6

B. Fill in the Blanks

Directions: Fill in the blanks with the correct answer.

To multiply simple ____________: Multiply the _______________ and then

the ________________. Write the __________________in ______________terms if
possible.
To multiply _____________numbers: Convert mixed numbers into
__________________fractions. Multiply the ___________________ and then the
_______________________. Write the ________________ in __________________
terms if possible.
C. Worded Problem
Here is another activity that lets you apply what you learned about the
multiplying simple fractions and mixed number by relating it to real-life
situation.

Directions: Read the problem carefully and make sure to write a complete
solution.
1 2
Problem 1: Find the area of a room 5 𝑚 by 4 m.
2 4

1 1
Problem 2: Zeny had 1 dozens of eggs in the refrigerator. She used of
2 3
the eggs. What part of the eggs was used?

Self-Assessment
1. Which among the activities is easy for you to understand and perform?
Why?
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2. What did you learn when performing the different activities?

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3. Was I able to perform the different activities?

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Rate yourself using the scale below. Encircle the number of our choice.
(Needs Improvement (1) Satisfactory (3) Excellent (5)

I can’t do it myself because I can do it myself I can do it without

I don’t understand yet. but sometimes I mistakes
need help.
 ASSESSMENT CHECKLIST
(To be accomplished by a parent or guardian)

Multiplication of Fractions

Check the appropriate observation that corresponds to the accomplishment

of your child while doing the activities.

OBSERVATION

Accomplished

Accomplished

Accomplished
Partially
Bases for Evaluation Parent’s/Guardian’s

Fully
Not
Remarks

Activity 1
The learner is able to recall the
lessons of operations on simple
fractions

Activity 2
The learner is able to
conceptualize the new lesson,
observe and follow step in finding
the product of an expression
Activity 3
The learner is able to learn the
concept of a multiplying simple
fractions and mixed numbers.
Activity 4
The learner is able to perform and
evaluate the concept of
multiplying simple fractions and
mixed numbers
Activity 5
The learner is able to understand
and comprehend the concept of
multiplying fractions relating it to
their real-life situation which is
also based on their Self-
Assessment.

______________________________________________
Name and Signature of Parent or Guardian