MATHEMATICS MELC WITH CODE.pdf

197
Grade Level: Grade 1
Subject: Mathematics
Quarter Content Standards
The learner…
Performance
Standards
The learner…
Most Essential Learning competencies
The learner…
Duration K to 12 CG Code
Q1 demonstrates
understanding of
whole numbers up
to 100, ordinal
numbers up to
10th, money up to
PhP100.
1. is able to
recognize, represent,
and order whole
numbers up to 100
and money up to
PhP100 in various
forms and contexts.
2. is able to
recognize, and
represent ordinal
numbers up to 10th,
in various forms and
contexts.
Visualizes,represents and counts numbers from 0
to 100 using a variety of materials and methods.
Week 1 M1NS-Ia-1.1
identifies the number that is one more or one less
from a given number.
Week 2 M1NS-Ib-3
regroups sets of ones into sets of tens and sets of
tens into hundreds using objects.
Week 3 M1NS- Id-5
compares two sets using the expressions “less than,”
“more than,” and “as many as” and orders sets from
least to greatest and vice versa.
Week 4
reads and writes numbers up to 100 in symbols and
in words.
Week 5 M1NS-If-9.1
visualizes and gives the place value and value of a
digit in one- and two-digit numbers.
Week 6 M1NS-Ig-10.1
renames numbers into tens and ones. M1NS-Ig-11
compares numbers up to 100 using relation symbol
and orders them in increasing or decresing order.
Week 7
Identifies, reads and writes ordinal numbers: 1st ,
2nd, 3rd, up to 10th object in a given set from a
given point of reference.
Week 8
recognizes and compares coins and bills up to
PhP100 and their notations.
Week 9 M1NS-Ij-19.1
Q2 demonstrates
understanding of
addition and
subtraction of
whole numbers up
is able to apply
addition and
subtraction of whole
numbers up to 100
including money in
mathematical
illustrates addition as “putting together or
combining or joining sets”
Week 1 to 2
M1NS-IIa-23
visualizes and adds the following numbers using
appropriate techniques:
a. two one-digit numbers with sums up to 18
b. three one-digit numbers
c. numbers with sums through 99 without and with
regrouping

198
The learner…
Performance
Standards
The learner…
The learner…
to 100 including
money
problems and real-
life situations.
visualizes and solves one-step routine and non-
routine problems involving addition of whole
numbers including money with sums up to 99 using
appropriate problem solving strategies.
Week 3
M1NS-IIe-29.1
illustrates subtraction as “taking away” or
“comparing” elements of sets.
Week 4
M1NS-IIf-24
illustrates that addition and subtraction are inverse
operations.
M1NS-IIf-25
visualizes, represents, and subtracts the following
numbers:
a. one-digit numbers with minuends through 18
(basic facts)
b. one- to two-digit numbers with minuends up to 99
without regrouping
c. one- to two-digit numbers with minuends up to 99
with regrouping
Week 5 to 6
subtracts mentally one-digit numbers from two-digit
minuends without regrouping using appropriate
strategies.
Week 7
M1NS-IIi-33.1
visualizes, represents, and solves routine and non-
routine problems involving subtraction of whole
numbers including money with minuends up to 99
with and without regrouping using appropriate
problem solving strategies and tools.
Week 8
M1NS-IIi-34.1
Q3 demonstrates
understanding of
fractions ½ and
1/4.
is able to recognize,
represent, and
compare fractions ½
and 1/4 in various
forms and contexts.
counts groups of equal quantity using concrete
objects up to 50 and writes an equivalent
expression. e.g. 2 groups of 5
Week 1
M1NS-IIIa-37
visualizes, represents, and separates objects into
groups of equal quantity using concrete objects up
to 50. e.g. 10 grouped by 5s
M1NS-IIIa-48

199
The learner…
Performance
Standards
The learner…
The learner…
visualizes, represents, divides a whole into halves
and fourths and identifies ½ and ¼ of a whole
object.
Week 2
visualizes, represents and divides the elements of
sets into two groups of equal quantities to show
halves and four groups of equal quantities to show
fourths
Week 3
visualizes and draws the whole region or set given
its ½ and/or ¼
Week 4
M1NS-IIId-75
demonstrates
understanding of
2-dimensional and
3-dimensional
figures.
is able to describe,
compare, and
construct 2-
dimensional and 3-
dimensional objects
identifies, names, and describes the four basic
shapes (square, rectangle, triangle and circle) in 2-
dimensional (flat/plane) and 3- dimensional (solid)
objects.
Week 5
M1GE-IIIe-1
draws the four basic shapes. Week 6 M1GE-IIIf-3
constructs three dimensional objects (solid) using
manipulative materials.
M1GE-IIIf-4
demonstrates
understanding of
continuous and
repeating patterns
and mathematical
sentences.
is able to apply
knowledge of
continuous and
repeating patterns
and number
sentences in various
situations.
determines the missing term/s using one attribute
in a given continuous pattern (letters/
numbers/events) and in a given repeating pattern
(letters, numbers, colors, figures, sizes, etc.).
Week 7
constructs equivalent number expression using
addition and subtraction.
e.g. 6 + 5 = 12 - 1
Week 8
M1AL-IIIh-8
identifies and creates patterns to compose and
decompose using addition.
e.g. 7 = 0 + 7, 1 + 6, 2 + 5, 3 + 4, 4 + 3, 5 + 2, 6 + 1,
7 + 0
M1AL-IIIi-9
visualizes and finds the missing number in an
addition or subtraction sentence using a variety of
ways
e.g. n + 2 = 5 5 – n = 3
Week 9
M1AL-IIIj-10

200
The learner…
Performance
Standards
The learner…
The learner…
Q4 demonstrates
understanding of
time and non-
standard units of
length, mass and
capacity.
is able to apply
knowledge of time
and non-standard
measures of length,
mass, and capacity in
mathematical
problems and real-
life situations
tells the days in a week; months in a year in the right
order.
Week 1
M1ME-IVa-1
determines the day or the month using a calendar. Week 2 M1ME-IVa-2
tells and writes time by hour, half-hour and quarter-
hour using analog clock.
Week 3
M1ME-IVb-3
solves problems involving time (days in a week,
months in a year, hour, half-hour, and quarter-hour)
Week 4
M1ME-IVb-4
compares objects using comparative words: short,
shorter, shortest; long, longer, longest; heavy,
heavier, heaviest; light, lighter, lightest.
Week 5 to 6
M1ME-IVc-19
estimates and measures length, mass and capacity
using non- standard units of measures.
Week 7
demonstrates
understanding of
pictographs
without scales and
outcomes of an
event.
is able to interpret
simple
representations of
data (tables and
pictographs without
scales).
infers and interprets data presented in a
pictograph without scales.
e.g. finding out from the title what the pictograph
is all about, comparing which has the least or
greatest …
Week 8
M1SP-IVh-3.1
solves routine and non-routine problems using
data presented in pictograph without scales.
Week 9 M1SP-IVh-4.1
The learner…
Performance
Standards
The learner…
The learner…
Q1
1. demonstrates
understanding of
whole numbers up
to 1000, ordinal
1. is able to
recognize,
represent,
compare, and order
visualizes and represents numbers from 0-1000 with
emphasis on numbers 101 – 1 000 using a variety of
materials.
Week 1
M2NS-Ia-1.2
gives the place value and finds the value of a digit in
three-digit numbers.
M2NS-Ib-10.2
visualizes and counts numbers by 10s, 50s, and 100s. Week 2 M2NS-Ib-8.2

201
The learner…
Performance
Standards
The learner…
The learner…
numbers up to
20th, and money up
to PhP100.
2. demonstrates
understanding of
addition of whole
numbers up to 1000
including money.
whole numbers up
to 1000, ordinal
numbers up to
20th, and money up
to PhP100 in
various forms and
contexts.
2. is able to
recognize and
represent ordinal
numbers up to 20th
in various forms
and contexts.
3. is able to apply
addition of whole
numbers up to 1000
including money in
mathematical
problems and real-
life situations.
reads and writes numbers up to 1 000 in symbols and
in words.
M2NS-Ic-9.2
visualizes and writes three-digit numbers in expanded
form.
Week 3
M2NS-Ic-14
compares numbers up using relation symbols and
orders numbers up to 1 000 in increasing or decreasing
order.
Identifies, reads and writes ordinal numbers from 1st
through the 20th object in a given set from a given
point of reference.
Week 4
reads and writes money in symbols and in words
through PhP100.
M2NS-If-20.1
counts the value of a set of bills or a set of coins
through PhP100 (peso-coins only; centavo-coins only;
peso-bills only and combined peso-coins and peso-
bills).
Week 5
M2NS-If-21
compares values of different denominations of coins
and paper bills through PhP100 using relation symbols.
M2NS-If-22.1
illustrates the properties of addition (commutative,
associative, identity) and applies each in appropriate
and relevant situations.
Week 6
M2NS-Ig-26.3
visualizes, represents, and adds the following numbers
with sums up to 1000 without and with regrouping:
a. 2-digit by 3-digit numbers
b. 3-digit by 3-digit numbers
adds mentally the folllowing numbers using
appropriate strategies:
a. 1- to 2-digit numbers with sums up to 50
b. 3-digit numbers and 1-digit numbers
c. three -digit numbers and tens (multiples of 10 up to
90)
Week 7 to 8

202
The learner…
Performance
Standards
The learner…
The learner…
d. 3-digit numbers and hundreds (multiples of 100 up
to 900)
solves routine and non-routine problems involving
addition of whole numbers including money with sums
up to 1000 using appropriate problem solving
strategies and tools.
Week 9
M2NS-Ij-29.2
Q2 demonstrates
understanding of
subtraction and
multiplication of
whole numbers up
to 1000 including
money.
is able to apply
subtraction and
multiplication of
whole numbers up
to 1000 including
money in
mathematical
problems and real-
life situations.
visualizes, represents, and subtracts 2- to 3-digit
numbers with minuends up to 999 without and with
regrouping.
Week 1
M2NS-IIa-32.5
subtracts mentally the following numbers without
regrouping using appropriate strategies:
a. 1-digit numbers from 1- to 3-digit numbers
b. 3-digit numbers by tens and by hundreds
Week 2
subtraction of whole numbers including money with
minuends up to 1000 using appropriate problem
solving strategies and tools.
Week 3
M2NS-IIc-34.2
performs orders of operations involving addition and
subtractions of small numbers.
Week 4
M2NS-IId-34.3
solves multi-step routine and non-routine problems
involving addition and subtraction of 2- to 3-digit
numbers including money using appropriate problem
Week 5
M2NS-IIe-34.4
illustrates and writes a related equation for each type
of multiplication: repeated addition, array, counting by
multiples, and equal jumps on the number line.
Week 6
illustrates the following properties of multiplication and
applyc each in relevant situation: (a) identity, (b) zero,
and, (c) commutative.
Week 7
visualizes multiplication of numbers 1 to 10 by 2,3,4,5
and10.
Week 8
M2NS-IIh-41.1

203
The learner…
Performance
Standards
The learner…
The learner…
multiplies mentally 2,3,4,5 and 10 using appropriate
strategies.
M2NS-IIi-42.1
appropriate problem solving strategies and tools:
a. multiplication of whole numbers including money
b. multiplication and addition or subtraction of whole
numbers including money
Week 9
Q3
1. demonstrates
understanding of
division of whole
numbers up to 1000
including money.
2. demonstrates
understanding of
unit fractions.
1. is able to apply
division of whole
numbers up to 1000
including money in
mathematical
problems and real-
life situations.
2. is able to
recognize and
represent unit
fractions in various
forms and contexts.
visualizes and represents division, and writes a related
equation for each type of situation: equal sharing,
repeated subtraction, equal jumps on the number line,
and formation of equal groups of objects.
Week 1
visualizes division of numbers up to 100 by 2,3,4,5, and
10 (multiplication table of 2, 3, 4, 5 and 10).
Week 2
M2NS-IIIb-51.1
divides mentally numbers by 2,3,4,5 and 10 using
appropriate strategies (multiplication table of 2, 3, 4, 5
and 10).
Week 3
M2NS-IIIb-52.1
illustrates that multiplication and division are inverse
operations.
M2NS-IIIc-53
division of numbers by 2,3,4,5 and 10 and with any of
the other operations of whole numbers including
money using appropriate problem solving strategies
and tools.
Week 4
M2NS-IIIc-56.1
visualizes,representsandidentifiesunitfractionswith
denominatorsof10andbelow.
Week 5 to 6
M2NS-IIId-72.2
reads and writes unit fractions. M2NS-IIId-76.1
compares using relation symbol and arranges in
increasing or decreasing order the unit fractions.
identifies other fractions less than one with
denominators 10 and below.
M2NS-IIIe-79.1
visualizes(usinggroupofobjectsandnumberline),readsand
writessimilarfractions

204
The learner…
Performance
Standards
The learner…
The learner…
compares similar fractions using relation symbols. Week 7 M2NS-IIIf-77.2
arranges similar fractions in increasing or decreasing
order.
M2NS-IIIf-78.2
demonstrates
understanding of
straight and curved
lines, flat and
curved surfaces and
basic shapes.
is able to recognize
and construct
straight and curved
lines, flat and
curved surfaces and
basic shapes
constructs squares, rectangles, triangles, circles, half-
circles, and quarter circles using cut-outs and square
grids.
Week 8
M2GE-IIIg-6
identifies straight lines and curves, flat and curved
surfaces in a 3-dimensional object.
M2GE-IIIi-9
demonstrates
understanding of
continuous patterns
using two attributes
is able to apply
knowledge of
continuous patterns
using two attributes
determines the missing term/s in a given
continuous pattern using two attributes (any two
of the following: figures, numbers, colors, sizes,
and orientations, etc.) e.g. 1, A, 2,B,3,C,__,__
Week 9
M2AL-IIIj-3
Q4 demonstrates
understanding
of time,
standard
measures of
length, mass
and capacity
and area
using square-
tile units.
is able to apply
knowledge of time,
standard measures
of length, weight,
and capacity, and
area using square-
tile units in
mathematical
problems and real-
life situations.
tells and writes time in minutes including a.m.
and p.m. using analog and digital clocks.
Week 1
M2ME-IVa-5
visualizes, represents, and solves problems
involving time (minutes including a.m. and p.m.
and elapsed time in days).
compares the following unit of measures:
a. length in meters or centimeters
b. mass in grams or kilograms
c. capacity in mL or L
Week 2
measures objects using appropriate measuring
tools and unit of leangth in m or cm.
Week 3
estimates and measures length using meter or
centimeter.
M2ME-IVc-26
solves routine and non-routine problems
involving length.
Week 4
M2ME-IVc-27
tools and measuring units in g or kg.
Week 5

205
The learner…
Performance
Standards
The learner…
The learner…
estimates and measures mass using gram or
kilogram.
M2ME-IVe-31
involving mass.
Week 6
M2ME-IVe-32
tools in mL or L.
M2ME-IVf-33
finds the area of a given figure using square-tile
units i.e. number of square-tiles needed.
Week 7
M2ME-IVg-36
estimates the area of a given figure using any
shape.
M2ME-IVh-37
involving any figure using square tiles.
Week 8
M2ME-IVh-38
deepens
understanding of
pictographs without
and with scales
is able to interpret
simple
representations of
data (pictographs
without and with
scales)
infers and interprets data presented in a
pictograph without and with scales.
Week 9
M2SP-IVi-3.2
data presented in a pictograph without and with
scales.
M2SP-IVi-4.2
The learner…
Performance
Standards
The learner…
The learner…
Q1
1. demonstrates
understanding of
whole numbers up
to 10 000, ordinal
1. is able to
recognize,
represent,
compare, and
visualizes numbers up to 10 000 with emphasis on
numbers 1001 - 10000.
Week 1
M3NS-Ia-1.3
gives the place value and value of a digit in 4- to 5-digit
numbers.
M3NS-Ia-10.3
reads and writes numbers up to 10 000 in symbols and
in words.
M3NS-Ia-9.3

206
The learner…
Performance
Standards
The learner…
The learner…
numbers up to
100th, and money
up to PhP1000.
2. demonstrates
understanding of
addition and
subtraction of whole
numbers including
money
order whole
numbers up to 10
000, and money up
to PhP1000 in
various forms and
contexts.
2. is able to
recognize and
represent, ordinal
numbers up to
100th in various
forms and
contexts.
3. is able to apply
addition and
subtraction of
whole numbers
including money in
mathematical
problems and real-
life situations.
rounds numbers to the nearest ten, hundred and
thousand..
Week 2
M3NS-Ib-15.1
compares using relation symbols and orders in
increasing or decreasing order 4- to 5-digit numbers up
to 10 000.
identifies ordinal numbers from 1st to 100th
with
emphasis on the 21st
to 100th
object in a given set from
a given point of reference.
Week 3
M3NS-Ic-16.3
recognizes, reads and writes money in symbols and in
words through PhP1 000 in pesos and centavos
compares values of the different denominations of coins
and bills through PhP1 000 using relation symbols.
Week 4
M3NS-Id-22.2
adds 3- to 4-digit numbers up to three addends with
sums up to 10 000 without and with regrouping.
M3NS-Id-27.6
estimates the sum of 3- to 4-digit addends with
reasonable results.
Week 5
M3NS-Ie-31
adds mentally the following numbers using appropriate
strategies:
a. 2-digit and 1-digit numbers without or with
regrouping
b. 2- to 3-digit numbers with multiples of
hundreds
addition of whole numbers with sums up to 10 000
including money using appropriate problem solving
Week 6
M3NS-If-29.3
subtracts 3-to 4-digit numbers from 3- to 4-digit
numbers without and with regrouping.
Week 7
M3NS-Ig-32.6
estimates the difference of two numbers with three to
four digits with reasonable results.
M3NS-Ih-36
subtracts mentally the following numbers using
appropriate strategies:
Week 8

207
The learner…
Performance
Standards
The learner…
The learner…
a. 1- to 2-digit numbers without and with regrouping
b. 2-to3-digitnumberswithmultiplesofhundredswithout
andwithregrouping
subtraction without or with addition of whole numbers
including money using appropriate problem solving
Week 9
M3NS-Ii-34.5
Q2 demonstrates
understanding of
multiplication and
division of whole
numbers including
money.
is able to apply
multiplication and
division of whole
numbers including
money in
mathematical
problems and real-
life situations
visualizes multiplication of numbers 1 to 10 by 6,7,8 and
9.
Week 1
M3NS-IIa-41.2
visualizes and states basic multiplication facts for
numbers up to 10.
M3NS-IIa-41.3
Illustrates the properties of multiplication in relevant
situations (commutative property, distributive property
or associative property)
Week 2 to 3
multiplies numbers:
a. 2- to 3-digit numbers by 1-digit numbers
without or with regrouping
b. 2-digit numbers by 2-digit numbers without
regrouping
c. 2-digit number by 2-digit numbers with
regrouping
d. 2- to 3-digit numbers by multiples of 10 and 100
e. 1- to 2-digit numbers by 1 000
estimates the product of 2- to 3-digit numbers and 1- to
2-digit numbers with reasonable results .
Week 4
M3NS-IId-44.1
multiplies mentally 2-digit by 1-digit numbers without
regrouping with products of up to 100.
M3NS-IIe-42.2
multiplication without or with addition and subtraction
of whole numbers including money using appropriate
Week 5
M3NS-IIe-45.3

208
The learner…
Performance
Standards
The learner…
The learner…
visualizes and states the multiples of 1- to 2-digit
numbers.
Week 6
M3NS-IIf-47
visualizes division of numbers up to 100 by 6,7,8,and 9
(multiplication table of 6, 7, 8, and 9).
M3NS-IIg-51.2
visualizes and states basic division facts of numbers up
to 10.
Week 7
M3NS-IIg-51.3
divides numbers without or with remainder:
a. 2- to 3-digit numbers by 1- to 2- digit numbers
b. 2-3 digit numbers by 10 and 100
estimates the quotient of 2- to 3- digit numbers by 1- to
2- digit numbers.
Week 8
M3NS-IIi-55.1
divides mentally 2-digit numbers by 1-digit numbers
without remainder using appropriate strategies.
M3NS-IIi-52.2
division of 2- to 4-digit numbers by 1- to 2-digit numbers
without or with any of the other operations of whole
numbers including money using appropriate problem
Week 9
M3NS-IIj-56.2
Q3 demonstrates
understanding of
proper and
improper, similar
and dissimilar and
equivalent fractions.
and represent
proper and
improper, similar
and dissimilar and
equivalent
fractions in various
forms and
contexts.
identifies odd and even numbers. Week 1 M3NS-IIIa-63
visualizes and represents fractions that are equal to one
and greater than one using regions, sets and number
line.
reads and writes fractions that are equal to one and
greater than one in symbols and in words.
Week 2
M3NS-IIIb-76.3
Represents, compares and arranges dissimilar fractions
in increasing or decreasing order.
Week 3
visualizes and generates equivalent fractions.
Week 4
M3NS-IIIe-72.7
demonstrates
understanding of
lines and
symmetrical designs
and represent lines
in real objects and
designs or
recognizes and draws a point, line, line segment and ray. Week 5 M3GE-IIIe-11
recognizes and draws parallel, intersecting and
perpendicular lines.
M3GE-IIIf-12.1
visualizes, identifies and draws congruent line segments. Week 6 M3GE-IIIf-13

209
The learner…
Performance
Standards
The learner…
The learner…
drawings and
complete
symmetrical
designs
identifies and visualizes symmetry in the environment
and in design.
M3GE-IIIg-7.3
identifies and draws the line of symmetry in a given
symmetrical figure.
Week 7
M3GE-IIIg-7.4
completes a symmetric figure with respect to a given
line of symmetry.
M3GE-IIIh-7.5
demonstrates
understanding of
continuous and
repeating patterns
and mathematical
sentences involving
multiplication and
division of whole
numbers.
is able to apply
knowledge of
continuous and
repeating patterns
and number
sentences
involving
multiplication or
division of whole
numbers in various
situations.
determines the missing term/s in a given combination
of continuous and repeating pattern.
e.g. 4A,5B, 6A,7B,__
1 2 3 4 ___
Week 8
M3AL-IIIi-4
finds the missing value in a number sentence involving
multiplication or division of whole numbers.
e.g. n x 7 = 56 56 ÷ n = 8
Week 9
M3AL-IIIj-12
Q4 demonstrates
understanding of
conversion of time,
linear, mass and
capacity measures
and area of square
and rectangle.
is able to apply
knowledge of
conversion of time,
linear, mass and
capacity measures
and area of
rectangle and
square in
mathematical
problems and real-
life situations.
visualizes, represents, and converts time measure:
a. from seconds to minutes, minutes to hours, and
hours to a day and vice versa
b. days to week, month and year and vice versa
c. weeks to months and year and vice versa
d. months to year and vice versa.
Week 1
solves problems involving conversion of time
measure.
Week 2
visualizes, and represents, and converts common units
of measure from larger to smaller unit and vice versa:
meter and centimeter, kilogram and gram, liter and
milliliter.
Week 3
M3ME-IVb-39
visualizes, and represents, and solves routine and non-
routine problems involving conversions of common
units of measure.
M3ME-IVc-40

210
The learner…
Performance
Standards
The learner…
The learner…
capacity measure.
Week 4
visualizes, and represents, and measures area using
appropriate unit.
Week 5
M3ME-IVd-43
areas of squares and rectangles.
M3ME-IVf-46
demonstrates
understanding of
bar graphs and
outcomes of an
event using the
terms sure, likely,
equally likely,
unlikely, and
impossible to
happen.
is able to create
and interpret
simple
representations of
data (tables and
single bar graphs)
and describe
outcomes of
familiar events
using the terms
sure, likely, equally
likely, unlikely, and
impossible to
happen.
collects data on one variable using existing records. Week 6 M3SP-IVg-1.3
sorts, classifies, and organizes data in tabular form
and presents this into a vertical or horizontal bar
graph.
M3SP-IVg-2.3
infers and interprets data presented in different kinds
of bar graphs (vertical/ horizontal).
Week 7
M3SP-IVh-3.3
solves routine and non-routine problems using data
presented in a single-bar graph.
Week 8
M3SP-IVh-4.3
tells whether an event is sure, likely, equally likely,
unlikely, and impossible to happen.
Week 9
M3SP-IVi-7.3
describes events in real-life situations using the
phrases “sure to happen,“ likely to happen”, “equally
likely to happen”, “unlikely to happen”, and
“impossible to happen”.
M3SP-IVj-8.3

211
The learner…
Performance Standards
The learner…
The learner…
Q1
1. demonstrates
understanding of
whole numbers up
to 100,000.
2. demonstrates
understanding of
multiplication and
division of whole
numbers including
money.
1. is able to recognize
and represent whole
numbers up to 100,000
contexts.
2. is able to apply
multiplication and
division of whole
numbers including
money in mathematical
problems and real-life
situations.
visualizes numbers up to 100 000 with
emphasis on numbers 10 001–100 000.
Week 1
M4NS-Ia-1.4
gives the place value and value of a digit in
numbers up to 100 000.
M4NS-Ia-10.4
reads and writes numbers, in symbols and in
words, up to hundred thousand and compare
them using relation symbols
rounds numbers to the nearest thousand and
ten thousand.
Week 2
M4NS-Ib-5.2
orders numbers up to 100 000 in increasing or
decreasing order.
M4NS-Ib-13.4
multiplies numbers up to 3-digit numbers by up
to 2-digit numbers without or with regrouping.
Week 3 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
multiplies mentally 2-digit by 1-to 2-digit
numbers with products up to 200 and explains
the strategies used.
Week 4
M4NS-Id-42.3
involving multiplication of whole numbers
including money using appropriate problem
M4NS-Id-45.4
solves multi-step routine and non-routine
problems involving multiplication and addition
or subtraction using appropriate problem
Week 5
M4NS-Ie-45.5
divides 3- to 4-digit numbers by 1-to 2-digit
numbers without and with remainder.
Week 6
M4NS-If-54.3

212
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The learner…
divides mentally 2- to 4-digit numbers by tens
or hundreds or by 1 000 without and with
remainder.
estimates the quotient of 3- to 4-digit dividends
by 1- to 2-digit divisors with reasonable results.
Week 7
M4NS-Ig-55.2
involving division of 3- to 4-digit numbers by 1-
to 2-digit numbers including money using
appropriate problem solving strategies and
tools.
Week 8
M4NS-Ih-56.3
problems involving division and any of the other
operations of whole numbers including money
using appropriate problem solving strategies
and tools.
M4NS-Ih-56.4
performs a series of two or more operations
applying Multiplication, Division, Addition,
Subtraction (MDAS) correctly.
Week 9
Q2
1. demonstrates
understanding of
factors and multiples
and addition and
subtraction of
fractions.
2. demonstrates
understanding of
improper fractions,
1. is able to apply
knowledge of factors
and multiples, and
addition and subtraction
of fractions in
mathematical problems
and real-life situations.
and represent improper
identifies factors of a given number up to 100. Week 1 M4NS-IIa-64
identifies the multiples of a given number up to
100.
M4NS-IIa-65
differentiates prime from composite numbers. M4NS-IIb-66
writes a given number as a product of its prime
factors.
Week 2 M4NS-IIb-67
finds the common factors, greatest common
factor (GCF), common multiples and least
common multiple (LCM) of two numbers using
the following methods: listing, prime
factorization, and continuous division.
solves real-life problems involving GCF and LCM
of 2 given numbers.
Week 3 M4NS-IId-70.1
changes improper fraction to mixed numbers
and vice versa.
Week 4
M4NS-IIe-80

213
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mixed numbers and
decimals
fractions, mixed
numbers and decimals
changes fractions to lowest forms. M4NS-IIe-81
visualizes addition and subtraction of similar
and dissimilar fractions.
Week 5
visualizes subtraction of a fraction from a
whole number.
M4NS-IIf-82.2
performs addition and subtraction of similar
and dissimilar fractions.
Week 6
M4NS-IIg-83
involving addition and/or subtraction of fractions
using appropriate problem solving strategies and
tools.
M4NS-IIh-87.1
visualizes decimal numbers using models like
blocks, grids, number lines and money to
show the relationship to fractions.
Week 7
M4NS-IIi-99
renames decimal numbers to fractions, and
fractions whose denominators are factors of
10 and 100 to decimals.
M4NS-IIi-100
gives the place value and the value of a digit of
a given decimal number through hundredths.
Week 8
M4NS-IIi-101.1
reads and writes decimal numbers through
hundredths.
M4NS-IIj-102.1
rounds decimal numbers to the nearest whole
number and tenth.
Week 9
M4NS-IIj-103.1
compares and arranges decimal numbers. M4NS-IIj-104.1
Q3 demonstrates
understanding of the
concepts of parallel
and perpendicular
lines, angles,
triangles, and
quadrilaterals.
is able to describe
parallel and
perpendicular lines,
angles, triangles, and
quadrilaterals
describes and draws parallel, intersecting, and
perpendicular lines using ruler and set square.
Week 1
describes and illustrates different angles (right,
acute, and obtuse) using models.
Week 2
M4GE-IIIb-14
describes the attributes/properties of triangles
and quadrilaterals using concrete objects or
models.
M4GE-IIIb-15
identifies and describes triangles according to
sides and angles.
Week 3
M4GE-IIIc-16

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The learner…
identifies and describes the different kinds of
quadrilaterals: square, rectangle, parallelogram,
trapezoid, and rhombus.
M4GE-IIIc-17
relates triangles to quadrilaterals
Week 4 M4GE-IIId-18.1
relates one quadrilateral to another
quadrilateral (e.g. square to rhombus).
M4GE-IIId-18.2
demonstrates
understanding of
concepts of
continuous and
repeating patterns
and number
sentences.
is able to identify the
missing element in a
pattern and number
sentence.
determines the missing term/s in a sequence
of numbers (e.g. odd numbers, even numbers,
multiples of a number, factors of a number,
etc.)
e.g. 3,6,9,__ 4,8,12,16,__ (e.g. odd
numbers, even numbers, multiples of a
number, factors of a number, etc.)
1 2 3 4 5 6 7 ____
Week 5
M4AL-IIIe-5
finds the missing number in an equation
involving properties of operations. (e.g. (4+__
) + 8 = 4 + ( 5 + __)
M4AL-IIIe-13
demonstrates
concept of time,
perimeter, area, and
volume.
is able to apply the
concepts of time,
perimeter, area, and
volume to mathematical
situations.
finds the elapsed time in minutes and seconds. Week 6 M4ME-IIIf-11
estimates the duration of time in minutes. M4ME-IIIf-12
solves problems involving elapsed time. M4ME-IIIg-13
visualizes the perimeter of any given plane
figure in different situations.
Week 7
M4ME-IIIg-48
measures the perimeter of any given figure
using appropriate tools.
M4ME-IIIh-49
finds the perimeter of triangles, squares,
rectangles, parallelograms, and trapezoids.
M4ME-IIIi-51
solves routine and non-routine problems in
real-life situations involving perimeter of
squares and rectangles, triangles,
parallelograms, and trapezoids.
Week 8
M4ME-IIIi-52
differentiates perimeter from area. Week 9 M4ME-IIIj-53
converts sq. cm to sq. m and vice versa. M4ME-IIIj-54

215
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Q4 finds the area of irregular figures made up of
squares and rectangles using sq. cm and sq. m.
Week 1
M4ME-IVa-55
finds the area of triangles, parallelograms and
trapezoids using sq. cm and sq. m.
M4ME-IVb-58
involving squares, rectangles, triangles,
parallelograms, and trapezoids.
Week 2
M4ME-IVc-60
visualizes the volume of solid figures in different
situations using non-standard (e.g. marbles,
etc.) and standard units.
Week 3
M4ME-IVd-62
finds the volume of a rectangular prism using
cu. cm and cu. m.
M4ME-IVe-64
involving the volume of a rectangular prism.
Week 4
M4ME-IVf-65
demonstrates
concepts of bar
graphs and simple
experiments.
is able to create and
interpret simple
representations of data
(tables and bar graphs)
and describe outcomes
in simple experiments.
collects data on two variables using any source. Week 5 M4SP-IVg-1.4
organizes data in tabular form and presents
them in a single/double horizontal or vertical
bar graph.
M4SP-IVg-2.4
interprets data presented in different kinds of
bar graphs (vertical/horizontal, single/double
bars).
Week 6
M4SP-IVg-3.4
data presented in a single or double-bar graph.
M4SP-IVh-4.4
draws inferences based on data presented in a
double-bar graph.
Week 7
M4SP-IVh-5.4
records favorable outcomes in a simple
experiment (e.g. tossing a coin, spinning a
wheel, etc.)
M4SP-IVi-9
expresses the outcome in a simple experiment
in words, symbols, tables, or graphs.
Week 8
M4SP-IVi-10
explains the outcomes in an experiment. M4SP-IVi-11
involving a simple experiment.
Week 9
M4SP-IVj-12

216
The learner…
The learner…
The learner…
Duration
K to 12 CG Code
Q1
demonstrates
understanding of
divisibility, order of
operations, factors
and multiples, and
the four
fundamental
operations involving
fractions
is able to apply
divisibility, order of
operations, factors and
multiples, and the four
fundamental operations
involving fractions in
uses divisibility rules for 2, 5, and 10 to find
the common factors of numbers.
Week 1
M5NS-Ib-58.1
uses divisibility rules for 3, 6, and 9 to find
common factors.
M5NS-Ib-58.2
uses divisibility rules for 4, 8, 12, and 11 to
find common factors.
Week 2
M5NS-Ib-58.3
involving factors, multiples, and divisibility
rules for 2,3,4,5,6,8,9,10,11, and 12.
M5NS-Ic-59
Performs a series of more than two operations
on whole numbers applying Parenthesis,
Multiplication, Division, Addition, Subtraction
(PMDAS) or Grouping, Multiplication, Division,
Addition, Subtraction (GMDAS) correctly.
Week 3
finds the common factors, GCF, common
multiples and LCM of 2–4 numbers using
continuous division.
Week 4
solves real-life problems involving GCF and
LCM of 2-3 given numbers.
M5NS-Ie-70.2
adds and subtracts fractions and mixed
fractions without and with regrouping.
Week 5
M5NS-Ie-84
involving addition and/or subtraction of
fractions using appropriate problem solving
M5NS-If-87.2
visualizes multiplication of fractions using
models.
Week 6
M5NS-Ig-89
multiplies a fraction and a whole number and
another fraction.
M5NS-Ig-90.1

217
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Duration
K to 12 CG Code
multiplies mentally proper fractions with
denominators up to 10.
M5NS-Ig-91
solves routine or non-routine problems
involving multiplication without or with
addition or subtraction of fractions and whole
numbers using appropriate problem solving
Week 7
M5NS-Ih-92.1
shows that multiplying a fraction by its
reciprocal is equal to 1.
M5NS-Ih-94
visualizes division of fractions. Week 8 M5NS-Ii-95
divides simple fractions and whole numbers
by a fraction and vice versa
M5NS-Ii-96.1
involving division without or with any of the
other operations of fractions and whole
numbers using appropriate problem solving
strategies and tools .
Week 9
M5NS-Ij-97.1
Q2
1. demonstrates
understanding of
decimals.
2. demonstrates
four fundamental
decimals and ratio
and proportion.
and represent decimals
contexts.
2. is able to apply the
four fundamental
decimals and ratio and
proportion in
gives the place value and the value of a digit
of a given decimal number through ten
thousandths.
Week 1
M5NS-IIa-101.2
reads and writes decimal numbers through
ten thousandths.
M5NS-IIa-102.2
rounds decimal numbers to the nearest
hundredth and thousandth.
M5NS-IIa-103.2
compares and arranges decimal numbers. Week 2 M5NS-IIb-104.2
adds and subtracts decimal numbers through
thousandths without and with regrouping.
M5NS-IIb-106.1
involving addition and subtraction of decimal
numbers including money using appropriate
Week 3
M5NS-IIc-108.1
multiplies decimals up to 2 decimal places by
1- to 2-digit whole numbers.
Week 4
M5NS-IId-111.1

218
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Duration
K to 12 CG Code
multiplies decimals with factors up to 2
decimal places.
M5NS-IId-111.2
estimates the products of decimal numbers
with reasonable results.
Week 5
M5NS-IIe-112
addition or subtraction of decimals and whole
M5NS-IIe-113.1
divides decimals with up to 2 decimal places. Week 6 M5NS-IIf-116.1
divides whole numbers with quotients in
decimal form.
M5NS-IIf-116.2
other operations of decimals and whole
Week 7
M5NS-IIg-120.1
visualizes the ratio of 2 given numbers. M5NS-IIh-122
identifies and writes equivalent ratios. Week 8 M5NS-IIi-124
expresses ratios in their simplest forms. M5NS-IIi-125
finds the missing term in a pair of equivalent
ratios.
Week 9
M5NS-IIi-126
defines and describes a proportion. M5NS-IIj-127
recognizes when two quantities are in direct
proportion.
M5NS-IIj-128
Q3 demonstrates
understanding of
percent.
is able to apply percent
in mathematical
situations
visualizes percent and its relationship to
fractions, ratios, and decimal numbers using
models.
Week 1
M5NS-IIIa-136
defines percentage, rate or percent, and base. M5NS-IIIa-137
identifies the base, percentage, and rate in a
problem.
M5NS-IIIa-138
finds the percentage in a given problem. Week 2 M5NS-IIIb-139

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Duration
K to 12 CG Code
involving percentage using appropriate
M5NS-IIIb-140
demonstrates
understanding of
polygons, circles,
and solid figures.
is able to construct and
describe polygons,
circles, and solid figures.
visualizes, names, describes and draws
polygons with 5 or more sides.
Week 3
M5GE-IIIc-19
describes and compares properties of
polygons (regular and irregular polygons).
M5GE-IIIc-20
visualizes congruent polygons. M5GE-IIId-22
identifies the terms related to a circle. Week 4 M5GE-IIId-23.2
draws circles with different radii using a
compass.
M5GE-IIIe-24
visualizes and describes solid figures. Week 5 M5GE-IIIe-25
makes models of different solid figures: cube,
prism, pyramid, cylinder, cone, and sphere
using plane figures.
M5GE-IIIe-26
demonstrates
concept of sequence
and solving simple
equations.
1. is able to apply the
knowledge of sequence
in various situations.
2. is able to use different
problem solving
strategies
formulates the rule in finding the next term in
a sequence.
e.g. 1, 3, 7,15, (15 x 2+1) Possible answers: (x
2 + 1) (+2, +4, +8, +16)
Week 6
M5AL-IIIf-6
uses different strategies (looking for a pattern,
working backwards, etc.) to solve for the
unknown in simple equations involving one or
more operations on whole numbers and
fractions.
e.g. 3 x _ + 1 = 10 (the unknown is solved by
working backwards)
M5AL-IIIf-14
demonstrates
understanding of
time and
circumference.
is able to apply
knowledge of time and
circumference in
measures time using a 12-hour and a 24-hour
clock.
Week 7
M5ME-IIIg-14
calculates time in the different world time
zones in relation to the Philippines.
M5ME-IIIg-15
solves problems involving time. M5ME-IIIg-16
visualizes circumference of a circle. Week 8 M5ME-IIIh-67

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Duration
K to 12 CG Code
measures circumference of a circle using
appropriate tools.
M5ME-IIIh-68
finds the circumference of a circle. M5ME-IIIi-70
involving circumference of a circle.
Week 9
M5ME-IIIj-71
Q4 demonstrates
understanding of
area, volume and
temperature.
is able to apply
knowledge of area,
volume and
temperature in
finds the area of a given circle. Week 1 M5ME-IVa-74
involving the area of a circle.
M5ME-IVb-75
visualizes the volume of a cube and
rectangular prism.
Week 2
M5ME-IVc-77
names the appropriate unit of measure used
for measuring the volume of a cube and a
rectangle prism.
M5ME-IVc-78
converts cu. cm to cu. m and vice versa; cu.cm
to L and vice versa.
M5ME-IVd-80
finds the volume of a given cube and
rectangular prism using cu. cm and cu. m.
Week 3
M5ME-IVd-81
estimates and uses appropriate units of
measure for volume.
M5ME-IVd-82
involving volume of a cube and rectangular
prism in real-life situations using appropriate
Week 4
M5ME-IVe-83
reads and measures temperature using
thermometer (alcohol and/or digital) in
degree Celsius.
Week 5
M5ME-IVf-85
involving temperature in real-life situations.
M5ME-IVf-87
demonstrates
understanding of
line graphs and
interpret
organizes data in tabular form and presents
them in a line graph.
Week 6
M5SP-IVg-2.5
interprets data presented in different kinds of
line graphs (single to double-line graph).
M5SP-IVh-3.5

221
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Duration
K to 12 CG Code
experimental
probability.
(tables and line graphs)
and apply experimental
probability in
data presented in a line graph.
Week 7
M5SP-IVh-4.5
draws inferences based on data presented in a
line graph.
M5SP-IVh-5.5
describes experimental probability. Week 8 M5SP-IVi-14
performs an experimental probability and
records result by listing.
M5SP-IVi-15
analyzes data obtained from chance using
experiments involving letter cards (A to Z) and
number cards (0 to 20).
Week 9
M5SP-IVi-16
involving experimental probability.
M5SP-IVj-17
The learner…
The learner…
The learner…
Q1 demonstrates
four fundamental
fractions and
decimals.
is able to apply the four
fundamental operations
involving fractions and
decimals in
adds and subtracts simple fractions and mixed
numbers without or with regrouping.
Week 1
M6NS-Ia-86
involving addition and/or subtraction of
M6NS-Ia-87.3
multiplies simple fractions and mixed fractions. Week 2 M6NS-Ib-90.2
addition or subtraction of fractions and mixed
M6NS-Ib-92.2
divides simple fractions and mixed fractions. Week 3 M6NS-Ic-96.2
M6NS-Ic-97.2

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other operations of fractions and mixed
adds and subtracts decimals and mixed
decimals through ten thousandths without or
with regrouping.
Week 4
M6NS-Id-106.2
solves 1 or more steps routine and non-routine
problems involving addition and/or subtraction
of decimals and mixed decimals using
tools.
M6NS-Id-108.2
multiplies decimals and mixed decimals with
factors up to 2 decimal places.
Week 5
M6NS-Ie-111.3
multiplies mentally decimals up to 2 decimals
places by 0.1, 0.01,10, and 100.
M6NS-Ie-111.4
involving multiplication of decimals and mixed
decimals including money using appropriate
problem solving strategies.
M6NS-Ie-113.2
solves multi-step problems involving
multiplication and addition or subtraction of
decimals, mixed decimals and whole numbers
including money using appropriate problem
Week 6
M6NS-If-113.3
divides:
a. whole numbers by decimals up to 2 decimal
places and vice versa
b. decimals/mixed decimals up to 2 decimal
places
Week 7
divides decimals:
a. up to 4 decimal places by 0.1, 0.01, and
0.001
Week 8

223
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b. up to 2 decimal places by 10, 100, and
1 000 mentally
differentiates terminating from repeating, non-
terminating decimal quotients.
Week 9
M6NS-Ii-119
involving division of decimals, mixed decimals,
and whole numbers including money using
tools.
M6NS-Ii-120.2
problems involving division and any of the
other operations of decimals, mixed decimals,
and whole numbers including money using
tools.
Week 10
M6NS-Ij-120.3
Q2 demonstrates
understanding of
order of operations,
ratio and proportion,
percent, exponents,
and integers.
is able to apply
knowledge of order of
operations, ratio and
proportion, percent,
exponents, and integers
in mathematical
situations.
expresses one value as a fraction of another
given their ratio and vice versa.
Week 1
M6NS-IIa-129
defines and illustrates the meaning of ratio and
proportion using concrete or pictorial models.
M6NS-IIb-131
finds a missing term in a proportion (direct,
inverse, and partitive).
Week 2
M6NS-IIb-133
solves problems involving direct proportion,
partitive proportion, and inverse proportion in
different contexts such as distance, rate, and
time using appropriate strategies and tools.
M6NS-IIc-134
finds the percentage or rate or percent in a
given problem.
Week 3
M6NS-IId-142
involving finding the percentage, rate and base
using appropriate strategies and tools.
M6NS-IId-143
solves percent problems such as percent of
increase/decrease (discounts, original price,
Week 4
M6NS-IIe-144

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rate of discount, sale price, marked-up price),
commission, sales tax, and simple interest.
describes the exponent and the base in a
number expressed in exponential notation.
Week 5
M6NS-IIf-146
gives the value of numbers expressed in
exponential notation.
M6NS-IIf-147
interprets and explains the Grouping,
Exponent, Multiplication, Division, Addition,
Subtraction (GEMDAS) rule.
Week 6
M6NS-IIf-148
performs two or more different operations on
whole numbers with or without exponents and
grouping symbols.
M6NS-IIf-149
describe the set of integers and identify real-life
situations that make use of it.
Week 7
compares integers with other numbers such as
whole numbers, fractions, and decimals.
M6NS-IIg-152
compares and arranges integers on the number
line.
Week 8
describes and interprets the basic operations
on integers using materials such as algebra
tiles, counters, chips, and cards.
M6NS-IIh-155
performs the basic operations on integers. Week 9 M6NS-IIi-156
involving basic operations of integers using
appropriate strategies and tools.
Week 10
M6NS-IIj-157
Q3 demonstrates
understanding of
solid figures.
is able to construct and
describe the different
solid figures: cube,
prism, pyramid, cylinder,
cone, and sphere.
visualizes and describes the different solid
figures: cube, prism, pyramid, cylinder, cone,
and sphere using various concrete and pictorial
models.
Week 1
differentiates solid figures from plane figures. M6GE-IIIa-28
identifies the faces of a solid figure. M6GE-IIIb-30
demonstrates
understanding of
is able to apply
knowledge of sequence,
formulates the rule in finding the nth term
using different strategies (looking for a
Week 2
M6AL-IIId-7

225
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sequence in forming
rules, expressions
and equations.
expressions, and
equations in
pattern, guessing and checking, working
backwards)
e.g. 4,7,13,16,…n (the nth term is 3n+1)
differentiates expression from equation. M6AL-IIId-15
gives the translation of real-life verbal
expressions and equations into letters or
symbols and vice versa.
Week 3
M6AL-IIIe-16
defines a variable in an algebraic expression
and equation.
M6AL-IIIe-17
represents quantities in real-life situations
using algebraic expressions and equations.
Week 4
M6AL-IIIe-18
involving different types of numerical
expressions and equations such as 7+ 9 =___
+ 6.
M6AL-IIIf-19
demonstrates
understanding of
rate and speed, and
of area and surface
area of plane and
solid/space figures.
is able to apply
knowledge of speed,
area, and surface area of
plane and solid/space
figures in mathematical
situations
calculates speed, distance, and time. Week 5 M6ME-IIIg-17
solves problems involving average rate and
speed.
M6ME-IIIg-18
finds the area of composite figures formed by
any two or more of the following: triangle,
square, rectangle, circle, and semi-circle.
Week 6
M6ME-IIIh-89
involving area of composite figures formed by
any two or more of the following: triangle,
square, rectangle, circle, and semi-circle.
M6ME-IIIh-90
visualizes and describes surface area and
names the unit of measure used for
measuring the surface area of solid/space
figures.
Week 7
M6ME-IIIi-91
finds the surface area of cubes, prisms,
pyramids, cylinders, cones, and spheres.
Week 8
M6ME-IIIi-93
solves word problems involving measurement
of surface area.
Week 9
M6ME-IIIj-94

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Q4 demonstrates
understanding of
volume of solid
figures and meter
reading.
is able to apply
knowledge of volume of
solid figures and meter
reading in mathematical
situations.
determines the relationship of the volume
between a rectangular prism and a pyramid; a
cylinder and a cone; and a cylinder and
sphere.
Week 1 M6ME-IVa-95
finds the volume of cylinders, pyramids,
cones, and spheres.
Week 2
M6ME-IVb-97
involving volumes of solids.
M6ME-IVc-98
reads and interprets electric and water meter
readings.
Week 3
M6ME-IVd-100
involving electric and water consumption.
M6ME-IVd-101
demonstrates
understanding of pie
graphs and
experimental
probability.
interpret
(tables and pie graphs)
and apply experimental
probability in
constructs a pie graph based on a given set of
data and interpret it.
Week 4
using data presented in a pie graph.
Week 5
M6SP-IVf-4.6
describes the meaning of probability such as
50% chance of rain and one in a million
chance of winning.
Week 6 M6SP-IVg-19
performs experiments and records outcomes. M6SP-IVh-21
makes listings and diagrams of outcomes and
tells the number of favorable outcomes and
chances using these listings and diagrams.
Week 7
M6SP-IVi-22
makes simple predictions of events based on
the results of experiments.
Week 8
M6SP-IVi-23
involving experimental and theoretical
probability.
Week 9
M6SP-IVj-24

227
The learner…
Performance
Standards
The learner…
The learner…
Q1 demonstrates
understanding of key
concepts of sets and
the real number
system.
is able to
formulate
challenging
situations
involving sets
and real
numbers and
solve these in a
variety of
strategies.
illustrates well-defined sets, subsets, universal sets, null set,
cardinality of sets, union and intersection of sets and the
different of two sets
Week 1
solves problems involving sets with the use of Venn
Diagram.
Week 2
represents the absolute value of a number on a number
line as the distance of a number from 0.
Week 3 M7NS-Ic-1
performs fundamental operations on integers. M7NS-Ic-d-1
illustrates the different properties of operations on the
set of integers.
Week 4 M7NS-Id-2
expresses rational numbers from fraction form to
decimal form and vice versa.
M7NS-Ie-1
performs operations on rational numbers Week 5 M7NS-If-1
describes principal roots and tells whether they are
rational or irrational.
Week 6 M7NS-Ig-1
determines between what two integers the square root
of a number is.
M7NS-Ig-2
estimates the square root of a whole number to the
nearest hundredth.
Week 7 M7NS-Ig-3
plots irrational numbers (up to square roots) on a
number line.***
M7NS-Ig-4
illustrates the different subsets of real numbers. Week 8 M7NS-Ih-1
arranges real numbers in increasing or decreasing order
and on a number line.
writes numbers in scientific notation and vice versa. Week 9 M7NS-Ii-1
represents real-life situations and solves problems
involving real numbers.

228
The learner…
Performance
Standards
The learner…
The learner…
Q2 demonstrates
key concepts of
measurement.
is able to
formulate real-
life problems
involving
measurements
and solve these
using a variety
of strategies.
approximates the measures of quantities particularly
length , weight/mass, volume, time, angle and
temperature and rate.
Week 1 M7ME-IIa-3
converts measurements from one unit to another in both
Metric and English systems.
Week 2 M7ME-IIb-1
solves problems involving conversion of units of
measurement.
M7ME-IIb-2
demonstrates
concepts of algebraic
expressions, the
properties of real
numbers as applied
in linear equations,
and inequalities in
one variable.
is able to model
situations using
oral, written,
graphical, and
algebraic
methods in
solving
problems
involving
algebraic
expressions,
linear
equations, and
inequalities in
one variable.
translates English phrases to mathematical phrases and
English sentences to mathematics sentences, and vice
versa.
Week 3
Illustrates and differentiates related terms in algebra:
a. where is a positive integer
b. constants and variables
c. literal coefficients and numerical coefficients
d. algebraic expressions, terms and polynomials
e. number of terms, degree of the term and degree of the
polynomial.
evaluates algebraic expressions for given values of the
variables.
Week 4 M7AL-IIc-4
adds and subtracts polynomials. M7AL-IId-2
derives the laws of exponent. Week 5 M7AL-IId-e-1
multiplies and divides polynomials. M7AL-IIe-2
uses models and algebraic methods to find the: (a) product
of two binomials; (b) product of the sum and difference of
two terms; (c) square of a binomial; (d) cube of a binomial;
(e) product of a binomial and a trinomial.
Week 6 M7AL-IIe-g-1
solves problems involving algebraic expressions. Week 7 to 8 M7AL-IIg-2
differentiates algebraic expressions, equations and
inequalities.
illustrates linear equation and inequality in one variable. M7AL-IIh-4
n
a n

229
The learner…
Performance
Standards
The learner…
The learner…
finds the solution of linear equation or inequality in one
variable.
Week 9 M7AL-IIi-1
solves linear equation or inequality in one variable
involving absolute value by: (a) graphing; and (b) algebraic
methods.
M7AL-IIi-j-1
solves problems involving equations and inequalities in one
variable.
M7AL-IIj-2
Q3 demonstrates
concepts of
geometry of shapes
and sizes, and
geometric
relationships.
is able to create
models of
plane figures
and formulate
and solve
accurately
authentic
problems
involving sides
and angles of a
polygon
represents point, line and plane using concrete and
pictorial models.
Week 1 M7GE-IIIa-1
illustrates subsets of a line. M7GE-IIIa-2
classifies the different kinds of angles. M7GE-IIIa-3
derives relationships of geometric figures using
measurements and by inductive reasoning; supplementary
angles, complementary angles, congruent angles, vertical
angles, adjacent angles, linear pairs, perpendicular lines,
and parallel lines.
Week 2 M7GE-IIIb-1
derives relationships among angles formed by parallel lines
cut by a transversal using measurement and by inductive
reasoning.
Week 3 M7GE-IIIc-1
uses a compass and straightedge to bisect line segments
and angles and construct perpendiculars and parallels.
Week 4 M7GE-IIId-e-1
illustrates polygons: (a) convexity; (b) angles; and (c) sides. Week 5 M7GE-IIIe-2
derives inductively the relationship of exterior and interior
angles of a convex polygon.
Week 6 M7GE-IIIf-1
illustrates a circle and the terms related to it: radius,
diameter chord, center, arc, chord, central angle, and
inscribed angle.
Week 7 M7GE-IIIg-1
constructs triangles, squares, rectangles, regular
pentagons, and regular hexagons.
Week 8 M7GE-IIIh-i-1
solves problems involving sides and angles of a polygon. Week 9 M7GE-IIIj-1
Q4 poses real-life problems that can be solved by Statistics. Week 1 M7SP-IVa-2
formulates simple statistical instruments. M7SP-IVa-3

230
The learner…
Performance
Standards
The learner…
The learner…
demonstrates
concepts, uses and
importance of
Statistics, data
collection/gathering
and the different
forms of data
representation,
measures of central
tendency, measures
of variability, and
probability.
is able to
collect and
organize data
systematically
and compute
accurately
measures of
central
tendency and
variability and
apply these
appropriately in
data analysis
and
interpretation
in different
fields.
gathers statistical data. Week 2 M7SP-IVb-1
organizes data in a frequency distribution table. Week 3 M7SP-IVc-1
uses appropriate graphs to represent organized data: pie
chart, bar graph, line graph, histogram, and ogive.
Week 4 to 5
M7SP-IVd-e-1
illustrates the measures of central tendency (mean,
median, and mode) of a statistical data.
Week 6 M7SP-IVf-1
calculates the measures of central tendency of ungrouped
and grouped data.
M7SP-IVf-g-1
illustrates the measures of variability (range, average
deviation, variance, standard deviation) of a statistical
data.
Week 7 M7SP-IVh-1
calculates the measures of variability of grouped and
ungrouped data.
M7SP-IVh-i-1
uses appropriate statistical measures in analyzing and
interpreting statistical data.
Week 8 to 9 M7SP-IVj-1
draws conclusions from graphic and tabular data and
measures of central tendency and variability.
M7SP-IVj-2
The learner…
Performance
Standards
The learner…
The learner…
Q1 demonstrates
concepts of factors
of polynomials,
is able to
formulate real-
life problems
involving factors
factors completely different types of polynomials
(polynomials with common monomial factor, difference of
two squares, sum and difference of two cubes, perfect
square trinomials, and general trinomials).
Week 1 to 2 M8AL-Ia-b-1
solves problems involving factors of polynomials. M8AL-Ib-2

231
The learner…
Performance
Standards
The learner…
The learner…
rational algebraic
expressions, linear
equations and
inequalities in two
variables, systems of
linear equations and
inequalities in two
variables and linear
functions.
of polynomials,
rational
algebraic
expressions,
linear equations
and inequalities
in two variables,
systems of
linear equations
and inequalities
in two variables
and linear
functions, and
solve these
problems
accurately using
a variety of
strategies.
illustrates rational algebraic expressions.
Week 3 M8AL-Ic-1
simplifies rational algebraic expressions. M8AL-Ic-2
performs operations on rational algebraic expressions. Week 4 M8AL-Ic-d-1
solves problems involving rational algebraic expressions. M8AL-Id-2
illustrates the rectangular coordinate system and its uses. Week 5 M8AL-Ie-1
illustrates linear equations in two variables. M8AL-Ie-3
Illustrates and finds the slope of a line given two points,
equation, and graph.
writes the linear equation in the form
and vice versa.
Week 6 M8AL-If-1
graphs a linear equation given (a) any two points; (b) the
– and – intercepts; (c) the slope and a point on the line.
M8AL-If-2
describes the graph of a linear equation in terms of its
intercepts and slope.
M8AL-If-3
finds the equation of a line given (a) two points; (b) the
slope and a point; (c) the slope and its intercepts.
Week 7 M8AL-Ig-1
solves problems involving linear equations in two variables. M8AL-Ig-2
illustrates a system of linear equations in two variables. Week 8 M8AL-Ih-1
graphs a system of linear equations in two variables. M8AL-Ih-2
categorizes when a given system of linear equations in two
variables has graphs that are parallel, intersecting, and
coinciding.
M8AL-Ih-3
solves problems involving systems of linear equations in
two variables by (a) graphing; (b) substitution; (c)
elimination.
Week 9
c
by
ax =
+
b
mx
y +
=
x
y

232
The learner…
Performance
Standards
The learner…
The learner…
Q2 demonstrates key
concepts of linear
inequalities in two
variables, systems of
linear inequalities in
two variables and
linear functions.
is able to
formulate and
solve accurately
real-life
problems
involving linear
inequalities in
two variables,
systems of
linear
inequalities in
two variables,
and linear
functions.
differentiates linear inequalities in two variables from linear
equations in two variables.
Week 1 M8AL-IIa-2
Illustrates and graphs linear inequalities in two variables.
solves problems involving linear inequalities in two
variables.
M8AL-IIa-4
solves problems involving systems of linear inequalities in
two variables.
Week 2 M8AL-IIb-2
illustrates a relation and a function. Week 3 M8AL-IIc-1
verifies if a given relation is a function. M8AL-IIc-2
determines dependent and independent variables. M8AL-IIc-3
finds the domain and range of a function. Week 4 M8AL-IId-1
graphs and illustrates a linear function and its (a) domain;
(b) range; (c) table of values; (d) intercepts; and (e) slope.
solves problems involving linear functions.
Week 5 M8AL-IIe-2
demonstrates
concepts of logic and
reasoning.
is able to
communicate
mathematical
thinking with
coherence and
clarity in
formulating and
analyzing
arguments.
determines the relationship between the hypothesis and
the conclusion of an if-then statement.
Week 6 M8GE-IIf-1
transforms a statement into an equivalent if-then
statement.
M8GE-IIf-2
determines the inverse, converse, and contrapositive of an
if-then statement.
Week 7 M8GE-IIg-1
illustrates the equivalences of: (a) the statement and its
contrapositive; and (b) the converse and inverse of a
statement.
Week 8 M8GE-IIg-2
uses inductive or deductive reasoning in an argument. Week 9 M8GE-IIh-1
writes a proof (both direct and indirect). M8GE-IIi-j-1
Q3 demonstrates
concepts of
axiomatic structure
1. is able to
formulate an
organized plan
to handle a real-
life situation.
describes a mathematical system. Week 1 to 2 M8GE-IIIa-1
illustrates the need for an axiomatic structure of a
mathematical system in general, and in Geometry in
particular: (a) defined terms; (b) undefined terms; (c)
postulates; and (d) theorems.
M8GE-IIIa-c-1

233
The learner…
Performance
Standards
The learner…
The learner…
of geometry and
triangle congruence.
2. is able to
communicate
mathematical
thinking with
coherence and
clarity in
formulating,
investigating,
analyzing, and
solving real-life
problems
involving
congruent
triangles using
appropriate and
accurate
representations.
illustrates triangle congruence. Week 3 to 4 M8GE-IIId-1
illustrates the SAS, ASA and SSS congruence postulates. M8GE-IIId-e-1
solves corresponding parts of congruent triangles Week 5 M8GE-IIIf-1
proves two triangles are congruent. Week 6 M8GE-IIIg-1
proves statements on triangle congruence. Week 7 M8GE-IIIh-1
applies triangle congruence to construct perpendicular lines
and angle bisectors.
Week 8 to 9 M8GE-IIIi-j-1
Q4 demonstrates
concepts of
inequalities in a
triangle, and parallel
and perpendicular
lines.
is able to
communicate
mathematical
thinking with
coherence and
clarity in
formulating,
investigating,
analyzing, and
solving real-life
problems
involving
triangle
inequalities, and
parallelism and
perpendicularity
illustrates theorems on triangle inequalities (Exterior Angle
Inequality Theorem, Triangle Inequality Theorem, Hinge
Theorem).
Week 1 M8GE-IVa-1
applies theorems on triangle inequalities. Week 2 M8GE-IVb-1
proves inequalities in a triangle. Week 3 M8GE-IVc-1
proves properties of parallel lines cut by a transversal.
Week 4
M8GE-IVd-1
determines the conditions under which lines and segments
are parallel or perpendicular.
Week 5 M8GE-IVe-1

234
The learner…
Performance
Standards
The learner…
The learner…
of lines using
appropriate and
accurate
representations.
demonstrates
concepts of
probability.
is able to
formulate and
solve practical
problems
involving
probability of
simple events.
illustrates an experiment, outcome, sample space and
event.
Week 6 M8GE-IVf-1
counts the number of occurrences of an outcome in an
experiment: (a) table; (b) tree diagram; (c) systematic
listing; and (d) fundamental counting principle.
Week 7 M8GE-IVf-g-1
finds the probability of a simple event. Week 8 M8GE-IVh-1
illustrates an experimental probability and a theoretical
probability.
Week 9 M8GE-IVi-1
solves problems involving probabilities of simple events. M8GE-IVi-j-1
Quarter Content
Standards
The learner…
Performance
Standards
The learner…
The learner…
Q1 demonstrates
understanding
of key concepts
of quadratic
equations,
inequalities
and functions,
and rational
is able to
investigate
thoroughly
mathematical
relationships in
various situations,
formulate real-life
problems involving
quadratic
illustrates quadratic equations. Week 1 M9AL-Ia-1
solves quadratic equations by: (a) extracting square roots;
(b) factoring; (c) completing the square; and (d) using the
quadratic formula.
M9AL-Ia-b-1
characterizes the roots of a quadratic equation using the
discriminant.
Week 2 to 3 M9AL-Ic-1
describes the relationship between the coefficients and the
roots of a quadratic equation.
M9AL-Ic-2
solves equations transformable to quadratic equations
(including rational algebraic equations).
M9AL-Ic-d-1

235
Quarter Content
Standards
The learner…
Performance
Standards
The learner…
The learner…
algebraic
equations.
equations,
inequalities and
functions, and
rational algebraic
equations and solve
them using a
variety of
strategies.
solves problems involving quadratic equations and rational
algebraic equations.
Week 4
M9AL-Ie-1
illustrates quadratic inequalities Week 5 M9AL-If-1
solves quadratic inequalities. M9AL-If-2
solves problems involving quadratic inequalities. M9AL-If-g-1
models real-life situations using quadratic functions. Week 6 M9AL-Ig-2
represents a quadratic function using: (a) table of values; (b)
graph; and (c) equation.
M9AL-Ig-3
transforms the quadratic function definedbyy=ax2
+bx+cinto
theformy=a(x–h)2
+k.
Week 7 to 8 M9AL-Ih-1
graphs a quadratic function: (a) domain; (b) range; (c)
intercepts; (d) axis of symmetry; (e) vertex; (f) direction of
the opening of the parabola. M9AL-Ig-h-i-1
analyzes the effects of changing the values of a, h and k in
the equation y = a(x – h)2
+ k of a quadratic function on its
graph.
M9AL-Ii-2
determines the equation of a quadratic function given: (a) a
table of values; (b) graph; (c) zeros.
Week 9 M9AL-Ij-1
solves problems involving quadratic functions. M9AL-Ii-j-2
Q2 demonstrates
understanding
of key concepts
of variation
and radicals.
is able to formulate
and solve
accurately
problems involving
radicals.
illustrates situations that involve the following variations: (a)
direct; (b) inverse; (c) joint; (d) combined.
Week 1 to 2 M9AL-IIa-1
translates into variation statement a relationship between
two quantities given by: (a) a table of values; (b) a
mathematical equation; (c) a graph, and vice versa.
M9AL-IIa-b-1
solves problems involving variation. M9AL-IIb-c-1
applies the laws involving positive integral exponents to zero
and negative integral exponents.
Week 3 M9AL-IId-1
simplifies expressions with rational exponents. Week 4 M9AL-IIe-1

236
Quarter Content
Standards
The learner…
Performance
Standards
The learner…
The learner…
writes expressions with rational exponents as radicals and
vice versa.
M9AL-IIf-1
derives the laws of radicals. Week 5 M9AL-IIf-2
simplifies radical expressions using the laws of radicals. Week 6 M9AL-IIg-1
performs operations on radical expressions. Week 7 M9AL-IIh-1
solves equations involving radical expressions. Week 8 M9AL-IIi-1
solves problems involving radicals. Week 9 M9AL-IIj-1
Q3 demonstrates
understanding
of key concepts
of
parallelograms
and triangle
similarity.
is able to
investigate, analyze,
and solve problems
involving
parallelograms and
triangle similarity
through
appropriate and
accurate
representation.
determines the conditions that make a quadrilateral a
parallelogram.
Week 1
M9GE-IIIa-2
uses properties to find measures of angles, sides and other
quantities involving parallelograms. M9GE-IIIb-1
provestheoremsonthedifferentkindsofparallelogram
(rectangle,rhombus,square).
Week 2 M9GE-IIIc-1
proves the Midline Theorem. Week 3 M9GE-IIId-1
proves theorems on trapezoids and kites. M9GE-IIId-2
solves problems involving parallelograms, trapezoids and
kites.
Week 4 M9GE-IIIe-1
describes a proportion. Week 5 M9GE-IIIf-1
appliesthefundamentaltheoremsofproportionalitytosolve
problemsinvolvingproportions.
M9GE-IIIf-2
illustrates similarity of figures. Week 6 to 7 M9GE-IIIg-1
proves the conditions for similarity of triangles.
1.1 SAS similarity theorem
1.2 SSS similarity theorem
1.3 AA similarity theorem
1.4 right triangle similarity theorem
1.5 special right triangle theorems
M9GE-IIIg-h-1
applies the theorems to show that given triangles are similar. Week 8 M9GE-IIIi-1
proves the Pythagorean Theorem. M9GE-IIIi-2

237
Quarter Content
Standards
The learner…
Performance
Standards
The learner…
The learner…
solves problems that involve triangle similarity and right
triangles.
Week 9
M9GE-IIIj-1
Q4 demonstrates
understanding
of the basic
concepts of
trigonometry.
is able to apply the
concepts of
trigonometric ratios
to formulate and
solve real-life
problems with
precision and
accuracy.
illustrates the six trigonometric ratios: sine, cosine, tangent,
secant, cosecant, and cotangent.
Week 1 to 2
M9GE-IVa-1
finds the trigonometric ratios of special angles. M9GE -IVb-c-1
illustrates angles of elevation and angles of depression.
Week 3 to 5
M9GE-IVd-1
uses trigonometric ratios to solve real-life problems
involving right triangles.
M9GE-IVe-1
illustrates laws of sines and cosines.
Week 6 to 9
M9GE-IVf-g-1
solves problems involving oblique triangles.
M9GE-IVh-j-1

238
Quarter Content
Standards
The learner…
Performance
Standards
The learner…
The learner…
Q1 demonstrates
understanding
of key concepts
of sequences,
polynomials and
polynomial
equations.
is able to formulate
and solve problems
involving
sequences,
polynomials and
polynomial
equations in
different disciplines
through
appropriate and
accurate
representations.
generates patterns. Week 1 to 2 M10AL-Ia-1
illustrates an arithmetic sequence M10AL-Ib-1
determines arithmetic means, nth term of an arithmetic
sequence and sum of the terms of a given arithmetics
sequence.
illustrates a geometric sequence. Week 3 M10AL-Id-1
differentiates a geometric sequence from an arithmetic
sequence.
M10AL-Id-2
determines geometric means, nth term of a geometric
sequence and sum of the terms of a given finite or infinite
geometric sequence
Week 4
solves problems involving sequences. Week 5 M10AL-If-2
performs division of polynomials using long division and
synthetic division.
Week 6
M10AL-Ig-1
proves the Remainder Theorem, Factor Theorem and the
Rational Root Theorem.
factors polynomials. Week 7 M10AL-Ih-1
illustrates polynomial equations. Week 8 M10AL-Ii-1
solves problems involving polynomials and polynomial
equations.
Week 9 M10AL-Ij-2
Q2 demonstrates
understanding
of key concepts
of polynomial
function.
is able to conduct
systematically a
mathematical
investigation
involving
polynomial
functions in
different fields.
illustrates polynomial functions. Week 1 to 2 M10AL-IIa-1
understand, describe and interpret the graphs polynomial
functions.
solves problems involving polynomial functions.
M10AL-IIb-2

239
Quarter Content
Standards
The learner…
Performance
Standards
The learner…
The learner…
demonstrates
understanding
of key concepts
of circles and
coordinate
geometry.
1. is able to
formulate and find
solutions to
challenging
situations involving
circles and other
related terms in
different disciplines
through
appropriate and
accurate
representations.
2. is able to
formulate and
solve problems
involving geometric
figures on the
rectangular
coordinate plane
with perseverance
and accuracy.
derives inductively the relations among chords, arcs, central
angles, and inscribed angles.
Week 3 to 4
M10GE-IIc-1
proves theorems related to chords, arcs, central angles, and
inscribed angles.
M10GE-IIc-d-1
illustrates secants, tangents, segments, and sectors of a
circle.
Week 5 to 6
M10GE-IIe-1
proves theorems on secants, tangents, and segments. M10GE-IIe-f-1
solves problems on circles. M10GE-IIf-2
applies the distance formula to prove some geometric
properties.
Week 7 M10GE-IIg-2
illustrates the center-radius form of the equation of a circle. Week 8 M10GE-IIh-1
determines the center and radius of a circle given its
equation and vice versa.
M10GE-IIh-2
graphs and solves problems involving circles and other
geometric figures on the coordinate plane.
Week 9
Q3 demonstrates
understanding
of key concepts
of combinatorics
and probability.
is able to use
precise counting
technique and
probability in
formulating
conclusions and
making decisions.
illustrates the permutation of objects. Week 1 to 2 M10SP-IIIa-1
solves problems involving permutations M10SP-IIIb-1
illustrates the combination of objects. Week 3 to 4 M10SP-IIIc-1
differentiates permutation from combination of objects
taken at a time.
M10SP-IIIc-2
solves problems involving permutations and combinations Week 5 M10SP-IIId-e-1
illustrates events, and union and intersection of events. Week 6 M10SP-IIIf-1
illustrates the probability of a union of two events. Week 7 M10SP-IIIg-1
findsthe probability of . Week 8 M10SP-IIIg-h-1
n
r
( )
B
A

240
Quarter Content
Standards
The learner…
Performance
Standards
The learner…
The learner…
illustrates mutuallyexclusive events. Week 9 M10SP-IIIi-1
solves problems involving probability. M10SP-IIIi-j-1
Q4 demonstrates
understanding
of key concepts
of measures of
position.
is able to conduct
systematically a
mini-research
applying the
different statistical
methods.
illustrates the following measures of position: quartiles,
deciles and percentiles.
Week 1 M10SP-IVa-1
calculates a specified measure of position (e.g. 90th
percentile) of a set of data.
Week 2 M10SP-IVb-1
interprets measures of position. Week 3 M10SP-IVc-1
solves problems involving measures of position. Week 4 to 5 M10SP-IVd-e-1
formulates statistical mini-research.
Week 6 to 7
M10SP-IVf-g-1
uses appropriate measures of position and other statistical
methods in analyzing and interpreting research data.
Week 8 to 9
M10SP-IVh-j-1

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MATHEMATICS MELC WITH CODE.pdf