School: Grade Level: IV
DAILY LESSON LOG Teacher: Learning Area: MATH
Teaching Dates & Time: September 11-15, 2023 (Week 3) Quarter: FIRST
MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
I. OBJECTIVES
A. Content Standards The learners ….. The learners ….. The learners ….. The learners ….. The learners …..
1. demonstrates understanding 1. demonstrates understanding 1. demonstrates understanding 1. demonstrates understanding 1. demonstrates understanding
of whole numbers up to of whole numbers up to of whole numbers up to 100,000. of whole numbers up to of whole numbers up to 100,000.
100,000. 100,000. 2. demonstrates understanding 100,000. 2. demonstrates understanding
2. demonstrates understanding 2. demonstrates understanding of multiplication and division of 2. demonstrates understanding of multiplication and division of
of multiplication and division of of multiplication and division of whole numbers including of multiplication and division of whole numbers including
whole numbers including whole numbers including money. whole numbers including money.
money. money. money.
B. Performance Standards The learner ….. The learner ….. The learner ….. The learner ….. The learner …..
1. is able to recognize and 1. is able to recognize and 1. is able to recognize and 1. is able to recognize and 1. is able to recognize and
represent whole numbers up to represent whole numbers up to represent whole numbers up to represent whole numbers up represent whole numbers up to
100,000 in various forms and 100,000 in various forms and 100,000 in various forms and to 100,000 in various forms 100,000 in various forms and
contexts. contexts. contexts. and contexts. contexts.
2. is able to apply multiplication 2. is able to apply multiplication 2. is able to apply multiplication 2. is able to apply 2. is able to apply multiplication
and division of whole numbers and division of whole numbers and division of whole numbers multiplication and division of and division of whole numbers
including money in including money in including money in mathematical whole numbers including including money in mathematical
mathematical problems and mathematical problems and problems and real-life situations. money in mathematical problems and real-life situations.
real-life situations. real-life situations. problems and real-life
situations.
C. Learning Competencies/ Multiplies numbers up to 3-digit Multiplies numbers up to 3-digit Estimates the products of 3- to 4- Estimates the products of 3- to Multiplies numbers up to 3-digit
Objectives numbers by up to 2-digit numbers by up to 2-digit digit numbers by 2- to 3- digit 4-digit numbers by 2- to 3- digit numbers by up to 2-digit
( Write the Lode for numbers without or with numbers without or with numbers with reasonable results numbers with reasonable numbers without or with
each) regrouping. regrouping. M4NS-Ic-44.2 results M4NS-Ic-44.2 regrouping.
M4NS-Ic-43.7 M4NS-Ic-43.7 M4NS-Ic-43.7
Estimates the products of 3- to 4-
digit numbers by 2- to 3- digit
numbers with reasonable results
M4NS-Ic-44.2
II. CONTENT Multiplying Numbers without Multiplying Numbers with Estimating Products Estimating Products
(Subject Matter) Regrouping Regrouping
III. LEARNING RESOURCES
A. References
1. Teacher’s Guide pages
2. Learner’s Material pages
3.Textbook pages
4.Additional Materials Modules Modules Modules Modules Modules
from Learning Resource
LR portal
B. Other Learning Audio-visual presentations, Audio-visual presentations, Audio-visual presentations, Audio-visual presentations, Audio-visual presentations,
Resources pictures pictures pictures pictures pictures
IV. PROCEDURE
A. Reviewing previous Lesson Perform the indicated operation Match the multiplication Find the estimated product by Direction: Estimate the product Weekly Summative Test/Weekly
or presenting new lesson to determine which fruit is the expression in column A with its rounding each factor to its Progress Check
product of each tree. corresponding product in highest place value.
column B. Write the letter of the
correct answer.
B. Establishing a purpose for In this lesson, you will deal with In this lesson, you are going to To estimate products, round off In this lesson, you are going to
the lesson multiplying numbers up to 3 – multiply 3 – digit numbers by up both factors to the greatest/ deal with estimating products
digit numbers by 2 – digit to 2 – digit numbers with highest place value, then multiply of 3 – to 4- digit number by 2-
numbers with and without regrouping. the rounded factors. to 3 – digit number. Estimating
regrouping. Always the answer is a little less or
remember that in multiplication, more than the exact answer.
the position of the factors does You will use your prior
not affect the answer. knowledge on rounding
You will be using the lattice numbers and multiplying up to
method, place value chart, long 3 – digit number by up to 2 –
and short method of multiplying digit number. You will also
numbers. recall multiplying numbers that
ends with Zero.
C. Presenting examples/ The seller opened 21 boxes of Roberto harvested 105 kilos of Please read and analyze the
instances of the new apples. Each box had 122 Palay. He sold them at 16 pesos problem carefully.
lesson. apples. a kilo. How much did Roberto
How many apples were there in earn?
all? About how many Santol do you
How did you come up with the How many mangoes was he able think are contained in the
correct answer? to harvest from one tree? basket?
What is your answer? How many mango trees does he If there are 272 Santol fruit in
The answer is: Roberto earned 1 have? each basket, what is the
680 pesos. What is asked in the problem? estimated total number of
What phrase in the problem santol?
indicates that an estimated
product is being asked for?
How can we find the estimated
number of mangoes harvested?
D. Discussing new concepts The seller opened 21 boxes of Let us try again but this time Let us study how to estimate the In estimating products, we
and practicing new skills. apple. Each box had 122 apples. with regrouping. product. round off the factors to its
#1 How many apples were there in Wyndham receives a daily The phrase “about how many” nearest highest place value,
all? allowance of Php185. How much does not ask for an actual then multiply the rounded
There are several ways to come does he receive in 25 days? answer but an estimate. The numbers.
up with the correct answer. Let Lattice Method: required answer can be solved by Look at the illustration below:
us use first the lattice method. a. Draw a 3 by 2 rectangle and estimating the product. Note: In rounding off numbers
Lattice Method: position the factors as shown Study the solution below. to its nearest highest/greatest
a. Draw a 3 by 2 rectangle and below. The given numbers are 571 place value, only one whole
position the factors as shown mangoes and 32 mango trees. number is retained and the rest
below. will be 0. Then multiply the
estimated factors. Since it ends
b. Multiply each digit above by in zero/s multiply the non zero
each digit on the side. If the digits, and count the number of
product is 1-digit number write zeros as the estimated product.
the result in the lower portion of
b. Multiply each digit above by the diagram. On the other hand,
each digit on the side. Write the if the product is a 2-digit
digit’s product as shown: number write the tens digit in Read the problem:
Hence, there are about 18 000
the upper portion of the mangoes that can be harvested If there are 335 apples in one
diagram and the ones digit in this season. box, about how many apples
the lower portion. • Take note that the number of are there in 26 boxes?
zeroes in the rounded factors How will you solve the
c. Add down the numbers along problem?
should be attached to the
the diagonals. The phrase “about how
product of the non-zero digits.
The factors are the numbers many” does not ask for an
c. Add down the numbers along being multiplied to get the actual answer but an estimate.
the diagonals. If you need to product. You need to estimate the
carry a number, add it to the product.
next group of diagonals. How will you do it?
d. The answer, read counter
clockwise, is 2 562.
d. The answer, read counter
clockwise, is 4 625
E. Discussing new concepts Using the place value chart : Using the place value chart as To check if the estimated product Study the solution below:
and practicing new skills Step 1. Multiply 1 Hundreds, 2 shown below: is reasonable, we have to find the Round off each of the factor
#2. Tens and 2 Ones by One. Step1. Multiply 1 Hundreds, 2 actual product and compare it to its highest place value; then
Tens and 2 Ones by 4 Ones. with the estimated product. multiply the rounded number.
Step 2. Multiply 1 Hundreds, 2
Tens and 2 Ones by 2 Tens. Step 2. Multiply 1 Hundreds, 2 Answer: There are about 9,000
Tens and 2 Ones by 2 Tens. apples in 26 boxes.
Notice that the estimated
product is close to the actual You can find the actual
Step 3. Add the partial products product. product to see if the estimated
to get the final product Step 3. Add the partial products
product is reasonable.
to get the final product
Other examples:
Let us estimate the product of
the following multiplication
expressions.
F. Developing Mastery Find the product of 211 x 33 by Find the correct answer of 368 x Look at the table below. Write Direction: Read carefully and
(Lead to Formative using: 53 by using: the estimated amount of each estimate the product.
Assessment 3) fruit and answer the questions 1. Layla can read at the rate of
below on your notebook. 56 pages of a book in one day.
About how many pages can she
read in 27 days?
1. How much does 565
pineapples cost?
2. How much does 89 papayas
cost?
3. How much does 639 dragon
fruits cost? 5. A store sold 715 cans of soda
4. How much does 789 avocados for Php35. About how much is
cost? the
5. How much does 390 jackfruits total sales of soda in the said
cost? store?
G. Finding practical Direction: Match the product in Direction: Use the tally below to Estimate each product. Then, Direction: Read each paragraph
application of concepts Column A with the compute the sales of the day. compare the two estimated carefully and answer the
and skills in daily living multiplication sentence in products. Write the correct questions.
1. The Girl Scouts of Valencia City
Column B. Write your answer on symbol ˃, ˂ or = in the box.
is engaged in rose gardening. They
the space provided before
gather 5 125 roses a day and sell
each number. them. About how many roses can
they gather in 24 days?
2. A barangay has a population of
3 741 families. Each family
received 28 canned goods. About
how many canned goods were
distributed to the barangay?
3. How many zeros will be in the
product of 500 and 700?
What is the product?
H. Making Generalizations How do you multiply –digit How do you multiply –digit How do we estimate the product The phrase “about how many”
and Abstraction about the number by –digit number? number by –digit number with of 3- to 4- digit numbers by does not ask for an actual
Lesson. To multiply 3 – digit number by regrouping? 2- to 3- digit numbers? answer but an estimate.
2 – digit number, multiply the To multiply 3 – digit number by To estimate the product, you
ones place of the multiplier to up to 2 – digit number, multiply • To estimate the product, round round off the factors to the
each of the multiplicand to get the ones place of the multiplier each factor to its greatest place nearest highest/greatest place
the partial product. Then to each of the multiplicand to value, and then multiply the value then multiply the
multiply the tens digit of the get the partial product. Then rounded factors. rounded numbers.
multiplier to each of the multiply the tens digit of the Multiply the non-zero digits
multiplicand to get the second multiplier to each of the and count the number of zeros.
partial product. Finally, add the multiplicand to get the second The product is obtained by
partial products to determine partial product. Finally, add the multiplying the rounded
the final result. partial products to determine numbers and affixing the
the final result. number of zeros from the
factors.
I. Evaluating Learning Solve the following using any of Direction: Solve the following Which is the most reasonable Direction: Estimate the product
the methods you’ve learned a using any method you’ve estimated product in the options
while ago. learned. given? Choose the letter of the
correct answer.
1. 105 x 46
a. 500 b. 5 000
c. 6 000 d. 6 500
2. 218 x 62
a. 13 000 b. 12 500
c. 12 000 d. 11 000
3. 327 x 192
a. 60 500 b. 60 000
c. 50 500 d. 50 000
4. 268 x 432
a. 120 000 b. 120 500
c. 130 000 d. 130 500
5. 2 627 x 154
a. 500 500 b. 600 000
c. 605 000 d. 700 000
J. Additional Activities for
Application or
Remediation
V. REMARKS
VI. REFLECTION
A. No. of learners earned
80%in the evaluation.
B. No. of learners who
required additional activities
for remediation who scored
below 80%
C. Did the remedial lesson
work? No. of learners who
have caught up with the
lesson.
D. No. of learner who
continue to require
remediation
E. Which of my teaching
strategies worked well? Why
did these work?
F. What difficulties did I
encounter which my
principal or supervisor can
help me solve?
G. What innovation or
localized materials did I
used/discover which I wish
to share with other
teachers?
Prepared by: Checked by:
Teacher III
School Principal I