math

1. Department of Education
Division of Leyte
BURAUEN NATIONAL HIGH SCHOOL
Burauen, Leyte
SIMPLIFIED MELC-BASED BUDGET OF LESSONS IN MATHEMATICS 7
AUGUST 24 – AUGUST 28, 2020
Performance Standard(PS): The learner is able to formulate challenging situations involving sets and real numbers and solve these in a
variety of strategies.
MELC. Illustrates well-defined sets, subsets, universal sets, null set, cardinality of sets, union and intersection of sets and the difference of
two
sets.
WEEK 1
24
What is a set?
What do you call the
objects in a set?
What is the symbol for
set?
How do you group objects
into a set?
How can you determine
the cardinality of a set?
ACTIVITY:
1.Group objects according
to their common
characteristics.
2.Determine the
cardinality of the sets.
25
What is a universal set?
How do we determine the
subsets of a set?
Is a null set considered a
subset of any set?
ACTIVITY:
1.Given a universal set,
a. Make some subsets.
(Be sure to include
empty set on each
subset).
b. How do we
determine the
number of subsets,
given the number of
elements in a set?
26
What is a union set?
Illustrate union of sets.
What operation is used in
the union of sets?
Give the symbol of union
of sets.
ACTIVITY:
1.Given some sets;
a. Determine the union
set between two sets.
b. Determine the union
set between 3 or
more sets.
c. Give the cardinality
of the union sets.
27
What is an intersection of
sets?
Find the intersection,
given two sets.
What is the symbol of
intersection set?
What operation is used in
determining the
intersection set?
ACTIVITY:
1.Given some sets;
a. Determine the
intersection between
two sets?
b. Determine the
cardinality of the
intersection set.
28
Describe and define the
complement of a set.
Find the complement of a
given set.
ACTIVITY:
1.Given a universal set and
another set;
a. find the complement of
set A.
2.Determine the cardinality
of the universal set,
complement set
The union or intersection
of the sets.

2. Department of Education
Division of Leyte
BURAUEN NATIONAL HIGH SCHOOL
Burauen, Leyte
SIMPLIFIED MELC-BASED BUDGET OF LESSONS IN MATHEMATICS 7
AUGUST 31 – SEPTEMBER 4, 2020
Performance Standard(PS): The learner is able to formulate challenging situations involving sets and real numbers and solve these in a
Variety of strategies.
MELC . Solves problems involving sets with the use of Venn diagrams.
WEEK 2
31
What is a Venn Diagram?
How will you show the
union of two sets or more
sets in a Venn diagram?
ACTIVITY:
Given some sets;
a. Show the union of sets
in a Venn Diagram.
b.Determine the
cardinality of each set.
1
Using a Venn diagram,
what do you call the set
formed where some
elements of set A is also
found in Set B?
Where on the Venn
diagram, can you locate
them?
ACTIVITY:
Given some sets;
a. Show/identify the
intersection of sets in
a Venn diagram.
b. Determine the
cardinality of each
set.
2
What are the steps in
solving a word problems?
Can you use Venn
Diagrams to solve word
problems involving union
and intersection of sets?
ACTIVITY:
a. Given some word
problems;
b. Use the Venn diagram
to solve them.
3
What are the steps in
solving word problems?
Can you use Venn
Diagrams to solve word
problems involving union
and intersection of sets?
ACTIVITY:
a. Solve more word
problems
and use the Venn
diagrams to solve
them.
4
To solve more exercises and
represent the sets and draw
a Venn Diagram.
ACTIVITY:
a. Solve more word
problems like union of
sets, intersection of
sets and complement
of sets, using a Venn
Diagram.

3. Department of Education
Division of Leyte
BURAUEN NATIONAL HIGH SCHOOL
Burauen, Leyte
SIMPLIFIED MELC-BASED BUDGET OF LESSONS IN MATHEMATICS 7
SEPTEMBER 7 – SEPTEMBER 11, 2020
Performance Standard (PS): The learners is able to formulate challenging situations involving sets and real numbers and solve these in a
variety of strategies.
MELC: The learner demonstrated represent the absolute value of a number on a number line as the distance of a number from 0.
The learners perform fundamental operations on integers.
WEEK 3
7
What is integers? What is
number line? How
negative numbers differ to
positive numbers? What
is the arrangement of
integers in a number line?
What is absolute value?
Why the absolute value of
an integers always results
to positive integers? How
to determine the distance
of the absolute value of a
number in a number line?
ACTIVITY:
a. Plot the following
integers in a number
line.
b. Illustrate the distance
of the absolute value
in a number line.
c. Determine the distance
of the absolute value of
the integers in a
number line.
8
What are the 4
fundamental operation in
mathematics?
How do we add whole
numbers?
How to we add integers?
What are the rules in
adding integers?
What is the sign of the
sum of the integers?
ACTIVITY:
a. Add the following
objects.
b. Find the sum of the
following integers.
c. Solve the following
word problems on a
addition of integers.
9
How do we subtract whole
numbers?
How do we subtract
integers? What is the rule
in subtracting integers?
ACTIVITY:
a. Find the difference of
the following integers.
b. Solve the following
word problems on
subtracting integers.
10
How do we multiply the
whole numbers?
How do we multiply
integers? What are the
rules in multiplying
integers?
ACTIVITY:
a. Find the product of
the integers.
b. Solve the following
word problems on
multiplying integers.
11
How do we divide
integers?
What is the rules in
dividing integers?
ACTIVITY:
a. Find the quotient of
the integers.
b. Solve the following
word problems on
dividing integers.

4. Department of Education
Division of Leyte
BURAUEN NATIONAL HIGH SCHOOL
Burauen, Leyte
SIMPLIFIED MELC-BASED BUDGET OF LESSONS IN MATHEMATICS 7
SEPTEMBER 14 – SEPTEMBER 18, 2020
Performance Standard (PS): The learners is able to formulate challenging situations involving sets and real numbers and solve these in a
variety of strategies.
MELC: The learner illustrates the different properties of operations on the sets of integers
Expresses rational numbers from fraction form to decimal form and vice-versa.
WEEK 4
14
What are the 4
fundamental operation of
integers?
What are the rules of each
operation?
How to solve
mathematical equation
with four operation
including parenthesis and
exponent?
What is PEMDAS?
ACTIVITY:
a. Try to solve the
following equation.
b. Solve the following
mathematical
equation using
PEMDAS.
15
Are there some properties
used or followed, in
solving integers?
What are the properties of
operation of integers?
Give examples of each
property.
ACTIVITY:
a. Given the a
mathematical
sentence determine
the property of
equality.
b. Complete the given
equation using the
properties of integers
and identify what
property are used.
.
16
What are the properties of
operation of integers?
How do we identify the
properties of operation of
integers used in solving
mathematical equation?
ACTIVITY:
a. Solve the following
mathematical
equation.
b. Solve the following
mathematical
expression and
identify the property
used.
17
What is rational
numbers?
What is fraction form and
decimal form? What are
the examples of fraction
form and decimal form?
How do we express
fraction form into decimal
form?
ACTIVITY:
a. Classify the following
rational numbers.
b. Express the following
fraction form to
decimal form.
18
What is decimal form?
How do we differentiate
decimal numbers to
integers, and fraction
form?
How to express decimal
numbers into fraction
form?
ACTIVITY:
a. Try to express the
following fraction
form to decimal form.
b. Express the following
decimal form into
fraction form.

5. Department of Education
Division of Leyte
BURAUEN NATIONAL HIGH SCHOOL
Burauen, Leyte
SIMPLIFIED MELC-BASED BUDGET OF LESSONS IN MATHEMATICS 7
SEPTEMBER 21 – SEPTEMBER 25, 2020
Performance Standard(PS):The learner is able to formulate challenging situations involving sets and real numbers and solve these in a
variety of strategies.
MELC. The learner performs fundamental operations on rational numbers.
WEEK 5
21
What are similar
fractions?
What are dissimilar
fractions?
How do we add similar
fractions?
How do we add dissimilar
fractions?
How do we reduce
fractions to simplest form?
ACTIVITY:
Given some fractions;
a. Determine if they are
similar or dissimilar
fractions.
b. Add similar fractions.
c. Add dissimilar
fractions and reduce
answers to
lowest/simplest form.
22
How do we change
improper fractions to
proper fractions?
How do we subtract
similar fractions?
How do we subtract
dissimilar fractions?
How do we reduce
fractions to
lowest/simplest form?
ACTIVITY:
Given some fractions;
a. Change improper
fractions to proper
fractions.
b. Subtract similar
fractions.
c. Subtract dissimilar
fractions.
23
How do we multiply
fractions?
How do we multiply mixed
numbers?
ACTIVITY:
Given some fractions;
a. Solve for the product of
fractions and mixed
numbers.
b. Solve problems
involving multiplication
of fractions and mixed
numbers.
24
How do we divide
fractions?
How do we divide mixed
numbers?.
ACTIVITY:
Given some fractions;
a. Solve for the
quotient of fractions
and mixed numbers.
b. Solve problems
involving fractions
and mixed numbers.
25
How do we express
fractions in
Decimal form?
How do you read
decimals?
How do we add and
subtract decimals?
ACTIVITY:
Given decimals;
a. Solve for the sum of
decimals.
b. Solve for the
difference of
decimals.
c. Solve problems
involving sum &
difference of
decimals.

6. Department of Education
Division of Leyte
BURAUEN NATIONAL HIGH SCHOOL
Burauen, Leyte
SIMPLIFIED MELC-BASED BUDGET OF LESSONS IN MATHEMATICS 7
SEPTEMBER 28, 2020 – OCTOBER 2, 2020
Performance Standard(PS): The learner is able to formulate challenging situations involving sets and real numbers and solve these in a
variety of strategies.
MELC . The learner describes between what two integers the square root of a number is.
WEEK 6
28
How do you multiply
decimals?
Do we always need to
count the number of
decimal places in the
factors to determine the
place of the decimal point
on the product?
ACTIVITY:
a. Given some decimals,
solve for the product.
b. Solve word problems
involving multiplication
of decimals.
29
How do we determine the
quotient of decimals?
How important is
knowing the placement
of the decimal point in
the divisor and dividend,
so that you can
determine its place in the
quotient?
ACTIVITY:
a. Given some decimals,
solve for the quotient.
b. Solve word problems
involving division of
decimals.
30
What do we mean by
square root of a number?
How many square roots
does every positive real
number have?
How do we find the square
root of number?
ACTIVITY:
a. Find the square root of
numbers.
b. Identify whether the
square root is rational
or irrational.
1
How do we determine the
two consecutive integers
in which a square root of
a number lies?
ACTIVITY:
a. Name/Determine the
two consecutive
integers between
which a given square
root lies.
2
How do we solve
problems involving
square root of numbers?
ACTIVITY:
a. Solve word
problems involving
square root of
numbers.

7. Department of Education
Division of Leyte
BURAUEN NATIONAL HIGH SCHOOL
Burauen, Leyte
SIMPLIFIED MELC-BASED BUDGET OF LESSONS IN MATHEMATICS 7
OCTOBER 5 – OCTOBER 9, 2020
Performance Standard (PS): The learners is able to formulate challenging situations involving sets and real numbers and solve these in a
variety of strategies.
MELC: The learner estimates the square roots of a whole number to the nearest hundredth.
Plots irrational numbers, (up to square roots) on a number line.
WEEK 7
5
What is a principal root?
When do we say that the
given principal root is a
perfect square?
How do we estimate each
principal root to the
nearest tenth/hundredth?
ACTIVITY:
a. Determine the square
roots of the perfect
square to the
nearest
tenth/hundredth.
b. Estimate the square
root of a whole
number to the nearest
tenth/hundredth.
6
What is number line?
How do we plot integers
in a number line?
How do we estimate
irrational numbers?
How do we plot irrational
numbers?
ACTIVITY:
a. Plot the rational
numbers on a
number line.
b. Plot the irrational
number in a number
line.
7
What are real numbers?
What are the different
subsets of real numbers?
How do we present real
numbers in a Venn
Diagram?
ACTIVITY:
a. Given the real
numbers group them
into the different
subsets of real
numbers
b. Illustrate the subsets of
real numbers using a
Venn diagram.
8
How do we arrange
fractions on a number
line?
How do we arrange
decimal numbers in a
number line?
How do we arrange
integers on a number
line?
ACTIVITY:
a. Arrange the given
fraction on a number
line.
b. Arrange the given
decimal numbers on
a number line.
c. Given integers
arrange
it on a number line.
9
How do we solve word
problems?
ACTIVITY:
a. Illustrate a number
line
b. Arrange real numbers
in increasing and
decreasing order.
c. Plotting real number
on a number line.
d. solving word
problems involving
real numbers.

8. Department of Education
Division of Leyte
BURAUEN NATIONAL HIGH SCHOOL
Burauen, Leyte
SIMPLIFIED MELC-BASED BUDGET OF LESSONS IN MATHEMATICS 7
OCTOBER 12 – OCTOBER 16, 2020
Performance Standard (PS): The learners is able to formulate challenging situations involving sets and real numbers and solve these in a
variety of strategies.
MELC: Illustrate the different subsets of real numbers.
Arrange real numbers in increasing or decreasing order and on a number line.
WEEK 8
12
How do we determine the
significant digits in a real
number?
Determine the significant
digits given a real
number.
What is scientific
notation?
How to express large
number/ whole number
into a scientific notation?
How to express large
number / decimal
number into scientific
notation?
ACTIVITY:
a. Identify the significant
and insignificant
digits in the following
items.
b. Express whole
number / large
number into
scientific notation
and vice versa.
13
What is real numbers?
Does real numbers exist
in real life situation? How
do we handle problems of
real numbers in real life?
What are the steps in
solving word problems?
ACTIVITY:
a. Cite some real life
problems involving
real numbers and
write down how you
solve the problem
b. Solve the real life
problem involving real
numbers?
14
Are there, real life
problems involving
rational and irrational
numbers?
Does the step in solving
word problems applicable
in solving problems
involving rational and
irrational numbers?
How do we solve problems
involving rational and
irrational numbers?
ACTIVITY:
a. Given the word
problems estimating
the value of the
square root of the
radicands.
b. Solve the word
problems involving
real numbers.
15
1st QUARTER
EXAMINATION
16
1ST QUARTER
EXAMINATION

9. Prepared by:
MELANIE A. TUSCANO
Teacher I
Checked and Reviewed by:
ELMER S. ANDRADE
HT-VI
CHARMIE T. RAYO
MT-II
Noted by:
ROSITA P. ABIO, Ph.D.
PRINCIPAL I
REYNALDO P. RENOMERON
DISTRICT HEAD