This document is a daily lesson log for a 7th grade mathematics class. The lesson focuses on solving problems involving real numbers, including whole numbers, signed numbers, fractions, and decimals. The objectives are for students to identify the appropriate operations needed to solve problems involving these types of numbers and perform the operations. Example problems are provided for each type of number. Students will work individually and in groups to practice solving problems. The lesson aims to help students appreciate problem solving in daily living.
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grade 7 dll 1st quarter WEEK 10 (1).doc
1. GRADE 7
DAILY
LESSON LOG
School Grade Level 7
Teacher Learning Area MATHEMATICS
Teaching Dates and Time Quarter FIRST
Session 1 Session 2 Session 3 Session 4
I. OBJECTIVES
1. Content Standards The learner demonstrates understanding of key concepts of sets and the real number system.
2. Performance Standards The learner is able to intellectually formulate challenging situations involving sets and real numbers, and solve
these in a variety of strategies.
3. Learning
Competencies/
Objectives
The learner solves
problems involving real
numbers
(M7NS-Ij-1)
a. Identify the operations
applicable to
problems involving
whole numbers.
b. Perform indicated
operations on solving
problems related to
whole numbers.
c. Appreciate the
concept of problem
solving in daily living.
The learner solves
problems involving real
numbers
(M7NS-Ij-1)
a. Identify the operations
applicable to
problems involving
signed numbers.
b. Perform indicated
operations on solving
problems related to
signed numbers.
c. Appreciate the
concept of problem
solving in daily living.
The learner solves
problems involving real
numbers
(M7NS-Ij-1)
a. Identify the operations
applicable to
problems involving
fractions.
b. Perform indicated
operations on solving
problems related to
fractions.
c. Appreciate the
concept of problem
solving in daily living.
The learner solves
problems involving real
numbers
(M7NS-Ij-1)
a. Identify the operations
applicable to
problems involving
decimals.
b. Perform indicated
operations on solving
problems related to
decimals.
c. Appreciate the
concept of problem
solving in daily living.
II. CONTENT Problems involving
whole numbers
Problems involving
signed numbers
Problems involving
fractions
Problems involving
decimals
2. III. LEARNING
RESOURCES
A. References
1. Teacher’s Guide
pages
2. Learner’s Materials
pages
pp 87-90 pp 87-90 pp 87-90 pp 87-90
3. Textbook pages Elementary Algebra by
Julieta G. Bernabe pages
28-29
Elementary Algebra by
Julieta G. Bernabe pages
30-32
e-Math K to 12 Edition for
Grade 7 by Orlando A.
Oronce pages 23-28
Elementary Algebra by
Julieta G. Bernabe pages
32-37
e-Math K to 12 Edition for
Grade 7 by Orlando A.
Oronce pages 53-59
e-Math K to 12 Edition for
Grade 7 by Orlando A.
Oronce pages 59-63
Elementary Algebra by
Virgilio Lopez pages 22-24
4. Additional Materials
from Learning
Resource (LR) portal
http://Education%20World
%20Connecting20to%20
Math%20in%20Real%20L
ife.html
http://Education%20World
%20Connecting20to%20
Math%20in%20Real%20L
ife.html
www.google.com/integer%
20problems.pdf
http://Education%20World
%20Connecting20to%20
Math%20in%20Real%20
Life.html
www.google.com/Unit720
%_FractionsDecimals.pdf
http://Education%20World
%20Connecting20to%
20Math%20in%20Real%2
0Life.html
www.google.com/Unit720
%_FractionsDecimals.pdf
B. Other Learning
Resources / Materials
LCTG by DepEd Cavite
Mathematics 2016
Laptop/ LCD Projector
Timer/Flash Cards
LCTG by DepEd Cavite
Mathematics 2016
Laptop/ LCD Projector
Timer
LCTG by DepEd Cavite
Mathematics 2016
Laptop/ LCD Projector
Timer/Flash Cards
LCTG by DepEd Cavite
Mathematics 2016
Laptop/ LCD Projector
Timer
IV. PROCEDURES
3. A. Reviewing previous
lesson or presenting
the new lesson
HULA-BIRA
Students will guess the
word based
on the
action/s
given by the
volunteer student/s. Time
limit is 20 seconds.
Altogether
Increase
Split
Withdraw
YOU’RE SO HOT, I’M
COLD…
Arrange the jumbled
letters to form word/s.
1. C O F T N A R I
2. E M D I X
3. R L A S I M I
4. N E T U V L A E Q I
5. L R D S M I S I I A
THE SEARCH IS OVER…
(Word-Finding Game)
Find the word/s related to
the concepts of decimal.
B. Establishing a
purpose for the
lesson
Flash Cards
(Recall on operations
involving whole numbers)
Perform the indicated
operations.
1. 384 + 176 + 210 =
2. 56 • 12 • 0 =
3. 1000 ÷ 10 =
4. 3339 – 993 – 300 =
5. 50 709 • 408 =
MENTAL MATH
Perform the indicated
operations.
1. 9 + (-3) =
2. -85 - (-80) =
3. (24) (17) (-2) =
4. (-7) (-9) (-10) =
5. -40 ÷(-8) =
Flash Cards
Perform the indicated
operations.
1.
4
3
2
1
2.
5
2
3
1
3.
2
1
1
4
1
3
4.
15
11
10
7
5.
27
13
7
9
Drill:
Perform the indicated
operations.
1. 1.2 + 3.9 =
2. 11.18 – 8.75 =
3. 2.19 • 8.123 • 0.1 =
4. 989.49 ÷ 25.25 =
5. 128.345 ÷ 1.37 =
A thermometer
shows
temperature
between 0˚C and
100˚C. What
happens if you
put the
thermometer in
salted ice?
4. C. Presenting examples/
instances of the
lesson
Based on the priming
activity, the terms/words
related to the four-
fundamental operation are;
Altogether -
ADDITION
Withdraw -
SUBTRACTION
Reproduce -
MULTIPLICATION
Split – DIVISION
Illustrative example # 1
Mr. Cardo Dalisay donated
1118
chairs to
Carmona
National
High
School
How much did each chair
cost if he paid PhP 544,
466 for all?
The problem is asking how
much did each chair cost, if
there are 1118 donated
chairs, we are using
division to solve the
problem.
Solution:
PhP 544, 466 ÷ 1118 = ?
Therefore, each chair cost
PhP 487
The change in the price of
stock in Liwayway
Corporation for
Wednesday was reported
as -PhP150 per share. If
you own 5 shares in the
corporation, what integer
represents the total
change in value of your
shares of stock?
Solution:
To solve, you need to find
the product of
5 • -150. Hence, the total
change in value of your
stock is -PhP750 (5 • -150
= -750)
YUM YUM YUM…
Mrs. Santos is making
one-half of the recipe .
What amount of tinapa
flakes is needed?
Solution:
Find ½ of ¼.
Multiply.
½ • ¼ = ?
The answer is 1/8 cup of
tinapa flakes is needed.
The recipe calls for
onion. Howmuch
onion is needed to
If the annual rainfall for a
town near Santa Fe was
12.3 inches in 1960, 13.2
inches in 1961, and 11.5
in 1962, what was the total
rainfall for the three
years?
“Total” means to add, so
12.3 + 13.2+ 11.5 = 37.0.
Therefore, 37 inches is the
answer.
Tinapa and Kangkong
Frittata
½ onion, chopped finely
2 cloves garlic, chopped
finely
¼ cup tinapa flakes
500 grams kangkong leaves
4 eggs
4 tablespoons fresh milk
Salt and pepper
Serves: 4 persons
5. Illustrative example # 2
Mr.Gonzales deposited
PhP 108, 656 in his
account in
PhP 98, 042 in
and PhP 231, 335 in
How much
did he deposit in all?
Solution: Use addition
because ALL means
TOGETHER.
PhP 108, 656 + PhP 98,
042 + PhP 231, 335
Therefore, the total money
of Mr. Gonzales in the said
banks is PhP 438, 033
make a serving for 6
persons?
2
1
4
6
?
4
3
8
6
or
Thus,
4
3
onion is needed.
D. Discussing new
concepts and
practicing new skills
#1
GROUP ACTIVITY
Answer the following
problems: Each question
worth 10 points each if
CORRECT, but if your
answer is WRONG, -10 will
be deducted to your score.
1. Regine has a balance of
Php1500 from her credit
card. If she has Php5000
to pay off the loan, how
much money will she have
PAIR ACTIVITY
Solve the following
problems carefully.
Tom played
golf at
Manila
Southwoods
Golf &
Country
Club. His scores on the
first five holes were, -1, 1,
-2, -1and -2. What was his
ANSWER MO SHOW
MO….
Solve the following
problems carefully.
1. Sarah had pieces of
rope. Rope 1 was 5 ½
feet long. Rope 2 was
3 1/3 feet long. Rope 3
was 1 ½ feet long.
What is the total length
of rope?
Solve the following
problems carefully.
1. Your brother traveled
17 miles in 2.25 hours to
come home for school
break. What is the
average speed that he
was traveling?
2. If you ran 5.3 miles on
Monday, 3.9 miles on
Wednesday, and 4.7
6. left?
2. A piece of ribbon 25 m
long is cut into pieces of
equal length. What is the
measure of each ribbon in
meters?
3. A deep-freeze
compartment is maintained
at a temperature of 12°C
below zero. If the room
temperature is 31°C, how
much warmer is the room
temperature than the
temperature in the deep-
freeze compartment?
average score for these
holes?
2.Anna owes Php 1000
at her
favorite
clothing
boutique,
so the
balance
in her account is -
PhP1000. If she goes
shopping and triples the
amount she owes, what
will be the present
balance in her account?
2. Jeff has ½ pizza left in
the fridge. At breakfast,
he ate 1/3 of it. What
fraction of the original
pizza does he have left
for lunch?
3. Darren spent 2 1/2
hours on his homework
on Monday. On
Tuesday, he spent 1 3/5
hours on his
homework. Find the
total amount of time, in
hours, that Darren
spent doing his
homework on Monday
and Tuesday.
miles on Friday, how
many miles did you run,
total, for the three days?
E. Discussing new
concepts and
practicing new skills
#2
Think, Pair, Share
1. What are the
terms/words used to
describe addition?
Subtraction?
Multiplication? And
division?
2. How did you find the
previous activity?
3. Is it easy for you to
analyze the
operation to be used
in a certain
problem?
4. How about if the
term used is
“diminished” what is
the operation to be
Answer the following.
1. Is it easy for you to
solve integers
using the four
operations?
2. The quotient of two
integers is positive.
What do you know
about the signs of
integers?
3. What are the steps
in solving problems
involving integers?
Answer the following.
1. Is it easy for you to
solve fractions
using the four
operations?
2. Consider the
fraction ¾ and 7/9,
which number is
larger?
3. What are the steps
in solving problems
involving fractions?
Answer the following.
1. Is it easy for you to
solve decimals
using the four
operations?
2. What are the steps
in solving problems
involving decimals?
7. use?
F. Developing mastery
(Leads to Formative
Assessment 3)
READY, SET, GO…
Solve the problem. The
one who will answer first
and
correct
will
have 50
points
on the
activity.
In high-rise buildings, floors
are numbered in increasing
sequence from the ground-
level floor to second, third,
etc, going up. The
basement immediately
below the ground floor is
usually labeled B1, the
floor above it is B2, and so
on. How many floors does
an elevator travel from the
39th floor of a hotel to the
basement parking at level
B6?
LET’S TAKE A
GROUPIE…
Each
group will
be
assigned
to
answer one problem, then
take a group picture
(groupie) if you’re done.
The first group to submit
correct answer using the
android application “Share
it” will have 50 points.
GROUP 1: An elevator is
on the twentieth floor. It
goes down 11 floors and
then up 5 floors. What
floor is the elevator on
now?
GROUP 2: If it is 5º
outside and the
temperature will drop 17º
in the next six hours, how
cold will it get?
GROUP 3: The UniMall
theater reported losses of
PhP47,500 each day for
three days. What was
the loss for the three
days?
Answer the following
problems carefully.
1. Brian has a
bamboo pole that was 6
¾ m long. He cut off 1 1/4
m and another 2 1/3 m.
What is the length of the
remaining bamboo pole in
m?
2. Last week, Rowena
spent 1/3 of her weekly
allowance on snacks, 2/5
on school materials, and
¼ of the remainder on
transportation. If she
saved the rest of her
allowance, what fraction
of her allowance did she
save?
3. Human bones are 3/10
living tissues, 9/20
minerals, and the rest
water. What fraction of
the human bone is
water?
Answer the following
problems carefully.
1. The mass of a jar of
sugar is 1.9 kg. What is
the total mass of 13 jars of
sugar?
2. If a 10-foot piece of
electrical tape has five
pieces that are each 1.25
feet cut from it, what is the
new length of the tape?
3.While at the grocery
store, Mrs. Martin
noticed that there were
two different sized
bottles of hot sauce, one
was 16.9 ounces and
the other 32.55 ounces.
What is the difference in
weight of the two bottles
of hot sauce?
G. Finding practical
applications of
Create one problem that
you experienced that
Create one problem that
you experienced that
Create one problem that
you experienced that
Create one problem that
you experienced that
8. concepts and skills in
daily living
involves WHOLE
NUMBERS, include your
solution/s. (any
operations).
RUBRICS
involves SIGNED
NUMBERS, include your
solution/s. (any
operations).
RUBRICS
involves FRACTIONS,
include your solution/s.
(any operations).
RUBRICS
involves DECIMAL,
include your solution/s.
(any operations).
RUBRICS
H. Making
generalizations and
abstractions about
the lesson
Steps in problem solving
involving whole numbers.
1. Understand the
problem.
2. Identify the given.
3. Translate the
problem to
mathematical
language.
4. Perform the
indicated
operations.
Steps in problem solving
involving signed numbers.
1. Understand the
problem.
2. Identify the given.
3. Translate the
problem to
mathematical
language.
4. Recall the rules on
operations of
integers.
5. Perform the
indicated
operations.
Steps in problem solving
involving fractions.
1. Understand the
problem.
2. Identify the given.
3. Translate the
problem to
mathematical
language.
4. Recall the rules on
operations of
fractions.
5. Perform the
indicated
operations.
Steps in problem solving
involving decimals.
1. Understand the
problem.
2. Identify the given.
3. Translate the
problem to
mathematical
language.
4. Recall the rules on
operations of
decimals.
5. Perform the
indicated
operations.
I. Evaluating learning Paper and Pen
1. You have 15 yards
of ribbon for your gift
boxes. Each box
gets the same
amount of ribbon.
Solve the following
problems carefully.
1. The city’s budget is
PhP8,000,000.
The city spends
PhP12,000,000.
Solve the following
problems carefully.
1. Juan paints 1/6 of
the fence surrounding his
farm each day. How
Use the table below to
9. How much ribbon
will each of your 20
boxes get?
2. It takes 6 cubes to
build a staircase
with 3 steps. How
many cubes will be
needed for 11
steps?
3. Barangay Mabuhay
plans to construct a
reading center. The
center will cost PhP
5, 113, 745. Thirthy-
five residents pledge
to shoulder the
expenses equally.
How much will each
of them give?
What is the city’s
deficit?
2. When Joaquin
woke up. His
temperature was
102º F. Two hours
later it was 3º
lower. What was
his temperature
then?
3. If it is 5º outside
and the
temperature will
drop 17º in the next
six hours, how cold
will it get?
many days will it take him
to paint 3/4 of the fence?
2. Six people share
3/5 pound of peanuts
equally. What fraction of
a pound of peanuts does
each person receive?
answer the following
questions.
Item Cost
Movie Ticket PhP 200.50
Popcorn
(medium)
PhP 78.75
Buko Juice
(medium)
PhP 44.25
Bag of Candy Php 1.25
1. Find the total cost
of two Medium
Buko Juice, two
Medium Popcorns,
and two Movie
tickets.
2. If Jose spent Php
3007. 50 on Movie
tickets, how many
tickets did he buy?
3. Find the total cost
of four bags of
candy and two
movie tickets.
J. Additional activities
for application or
remediation
Follow – up
Think of a counting number
less than 20. Add six.
Multiply by two. Subtract
eight. Divide by two.
Follow – up
It will be – 12º tonight.
The weatherman predicts
it will be 25º warmer by
noon tomorrow. What will
Follow – up
If one
honeybee
makes 1/12
teaspoon of
Follow – up
Subtract four and three-
tenths from eleven and
eighty-one hundredths.
10. Subtract your number. The
answer us 2. Explain why
this trick works.
Study
How to solve problems
involving signed numbers?
the temperature be by
noon tomorrow?
Study
How to solve problems
involving fractions?
honey during its lifetime,
how many honeybees are
needed to make 1/2
teaspoon of honey?
Study
How to solve problems
involving decimals?
Study
Define and describe
measurement.
V. REMARKS
VI. REFLECTION
1. No. of learners who
earned 80% on the
formative
assessment
2. No. of learners who
require additional
activities for
remediation.
3. Did the remedial
lessons work? No. of
learners who have
caught up with the
lesson.
4. No. of learners who
continue to require
remediation
11. 5. Which of my
teaching strategies
worked well? Why
did these work?
6. What difficulties did I
encounter which my
principal or
supervisor can help
me solve?
7. What innovation or
localized materials
did I use/discover
which I wish to share
with other teachers?