LS-3-Mathematical-and-Problem-Solving-Skills.pdf

Republic of the Philippine
Department of Education
DepEd Complex, Meralco Avenue
Pasig City

K TO 12 BASIC EDUCATION CURRICULUM FOR THE ALTERNATIVE LEARNING SYSTEM (ALS-K TO 12)
Learning Strand 3: Mathematical and Problem-Solving Skills Page 2 of 60
June 2017
Learning Strand 3: MATHEMATICAL AND PROBLEM SOLVING SKILLS
Mathematical and Problem Solving Skills focus on Scientific Literacy and Numeracy Skills, which are basic to meaningful participation in community
life and improving the quality of life of the people, the community, and the country as a whole.
Learning Strand 3 is intended to develop in 17-year-olds and older out-of-school youth and adults skills that include the core competencies of
scientific literacy and numeracy. Integrated across scientific and numeracy literacy skills are the critical functional competencies of openness to change,
awareness of options, ability to make critical and informed decisions, curiosity, inventivenessand creativity, scientific thinking, logical reasoning, spatial
intelligence, and future orientation. These competencies specifically seek to extend and refine learners’ critical and creative thinking processes, including the
abilities to:
 organize new knowledge
 gather and analyze information
 categorize things and ideas
 make comparisons
 infer principles from evidence
 critique one’s own thinking
 evaluate options as a basis of decision making
 apply the scientific process
 seek explanations for applying the scientific process
 support assertions with evidence
 overcome obstacles and find a better way of doing things
 apply principles to draw conclusions
 learn independently
The ultimate goal of Learning Strand 3 is to develop individuals who are aware of their own thinking, able to make critical and informed decisions,
defend their ideas and evaluate the ideas of others, and are persistent in striving for new ways to solve problems. Through the development of such critical
thinking and problem-solving skills, ALS learners will enhance their own personal and social effectiveness by way of improvingthe quality of life.
The framework of Learning Strand 3 is schematically presented inthe following page.

June 2017

June 2017
The numeracy component of Learning Strand 3 focuses on competencies needed for effective mathematical learning and problem solving. Its emphasis
is on how these mathematical competencies would be applied to daily life situations. To this end, real-life examples are given for many of the competencies.
During curriculum implementation, further emphasis will be necessary on contextualization of the mathematical competencies to align with different learning
contexts, needs, and situational realities of different ALS learners.
The competencies are logically sequenced from simple to complex based on the level of cognitive demand and nature of the Mathematics subject area.
For example, before being able to do division of fractions, its prerequisite is that one must first understand multiplication of fractions. The ALS Mathematics
curriculum contains the following performance standards:
 PERFORMANCE STANDARD A includes the desirable attitudes and values reflected on the learner's behavior within or beyond Mathematics classes.
 PERFORMANCE STANDARD B includes K to 12 curriculum competencies on Number and Number Sense. It comprises topics on whole number, fraction,
decimal, ratio and proportion, percent, and sets and integers.
 PERFORMANCE STANDARD C includes K to 12 curriculum competencies on Geometry. It comprises topics like undefined terms in Geometry, the study of
plane and surface figures, the different shapes and their properties, and their applications in real life objects and situations.
 PERFORMANCE STANDARD D includes K to 12 curriculum competencies on Measurement. The topics are perimeter, area, circumference, and volume in
different units, standard and contextualized, and their applications in real life situations.
 PERFORMANCE STANDARD E includes K to 12 curriculum competencies on Patterns and Algebra. It contains topics on Exponent, Algebraic Expressions,
Polynomial, Rational Algebraic Expressions, Equations and Inequalities, Sequences and Series, and Functions and Graphs.
 PERFORMANCE STANDARD F includes K to 12 curriculum competencies on Statistics and Probability. The topics cover descriptive statistics like measures
of central tendency, measures of variation, measures of position including different statistical activities like to gather and record data, present data on
table and graph, and interpret data on graph and chart. The learners will also perform simple experiments, and study fundamental principles of counting,
permutation, and combination, and their applications in real life situations. In compliance to Grade 12 Statistics and Probability, competencies on
correlational value and measures were also added.
It is envisioned that the attainment of these performance standards will equip ALS learners with the necessary minimum foundational mathematics
competencies to prepare them for the world of work and further study under the Senior High School Program.
SENIOR HIGH SCHOOL
To complete SHS and meet the competencies for the middle skills development, entrepreneurship, and employment exits of the basic education
curriculum, ALS learners must complete the competencies that are specified in Statistics and Probability. They should also complete the specialization
subjects of any of the following Senior High School tracks: Sports, Arts and Design or Technical-Vocational-Livelihood.
College-bound ALS learners in SHS must also complete the core subjects General Mathematics and Statistics and Probability (or their equivalents). They
must also complete all the specialization subjects in any of the Academic Strands (Accountancy, Business and Management [ABM], Humanities and Social
Sciences [HUMSS], Science, Technology, Engineering and Mathematics [STEM], or General Academic).
If an ALS learner who has completed the K to 12 curriculum wishes to proceed to higher education, this learner may return to the ALS program and take
the core curriculum at any time.

June 2017
No. Learning Competency
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
1
Demonstrates the importance and value of mathematics as a
means of communicating and solving problems in daily life,
e.g., computing and comparing costs of goods to make a
decision on which to buy.
LS2CP/NS-NS-PSA-
LE/AE/LS/AS-1
√ √ √ √
2
Demonstrates creativity, interest, and curiosity in asking
questions, defining problems, considering different strategies,
and finding appropriate solutions to problems through
mathematics, e.g., analyzing the given data in a problem and
identifying what mathematical operation will be applied to
solve the problem.
LS2CP/NS-NS-PSA-
BL/LE/AE/LS/AS-2
√ √ √ √ √
3
Expresses satisfaction in mastery of new ways of thinking
through application of mathematics, e.g., deciding the
shortest and most accurate way of solving problems in daily
life that require mathematical solutions.
LS2CP/NS-NS-PSA-
LE/AE/LS/AS-3
√ √ √ √
4
Integrates mathematics with disciplines such as economics,
agricultural studies, communication arts, science and
technology, geography, cooking, architecture, music, e.g.,
use of comprehension skills in analyzing problems that would
lead to the most accurate way of solving the problem,
interpret the number of beats musical notes/rests in a
musical composition, etc.
LS2CP/NS-NS-PSA-
LE/AE/LS/AS-4
√ √ √ √
Learning Strand 3: Mathematical and Problem Solving Skills
Content Standard: Numeracy Skills
Performance Standard: Acquire mathematical skills for personal and social effectiveness.
Performance Standard A: Show desirable attitudes and values in the application of mathematics in daily life.

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
5
States the advantages of accuracy and precision in
mathematics, e.g., in measurement.
LS2CP/NS-NS-PSA-
LE/AE/LS/AS-5
√ √ √ √
6
Exhibits honesty and accuracy in collecting and reporting
mathematical data, e.g., use of untampered measuring
instruments such as measuring tapes, weighing scales,
volume measurers, and electric and water meters.
LS2CP/NS-NS-PSA-
LE/AE/LS/AS-6
√ √ √ √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
1 Read whole numbers
MKC-00-2
MKC-00-3
M1NS-Ia-1.1
LS2CP/NS-NS-PSB-
BL-1
√
1.1
Read one-digit whole numbers
MKC-00-2
MKC-00-3
LS2CP/NS-NS-PSB-
BL-1.1
√
* number of ALS classes per week
*number of harvest season per year
√
1.2
Read two- and three-digit whole numbers M1NS-If-9.1
LS2CP/NS-NS-PSB-
BL-1.2
√
*dates in calendars (birthdays, anniversaries, holidays,
historical events)
√
*house numbers, clothes and shoe sizes, bus numbers, car
plate numbers
√
*height and weight of learners √
*road signs on speed limit of cars and other vehicles √
*pressure gauge readings √
*product labels (ingredients, composition, weights,
content, and expiration date)
√
1.3
Read symbols/numbers of 4- to 6- digit whole numbers
M2NS-Ia-1.2
M2NS-Ic-9.2
LS2CP/NS-NS-PSB-
BL/LE-1.3
√ √
*population of province, country, region, world √ √
* sweepstakes, and lotto prizes √ √
* income/expenditure of individuals, households,
municipalities, and provinces
√ √
Performance Standard B: Communicate ideas using mathematical symbols and expressions.

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
1.4 Read numbers/symbols of 7- to 10- digit whole numbers
LS2CP/NS-NS-PSB-
LE/AE-1.4
√ √
2 Write whole numbers M1NS-If-9.1
LS2CP/NS-NS-PSB-
BL/LE-2
√ √
2.1 Write numbers of one-digit whole numbers M1NS-If-9.1
LS2CP/NS-NS-PSB-
BL-2.1
√
2.2 Write two- and three-digit whole numbers M1NS-If-9.1
LS2CP/NS-NS-PSB-
BL-2.2
√
2.3 Write numbers/symbols of 4- to 6- digit whole numbers
LS2CP/NS-NS-PSB-
BL/LE-2.3
√ √
2.4 Write numbers/symbols of 7- to 10- digit whole numbers
LS2CP/NS-NS-PSB-
LE/AE-2.4
√ √
3 Identify numbers
LS2CP/NS-NS-PSB-
BL/LE-3
√ √
3.1 Identify numbers 0–20 ( Kindergarten level) MKC-00-2
LS2CP/NS-NS-PSB-
BL-3.1
√
3.2
Identify numbers up to 100 with emphasis on numbers 21–
100 (Grade 1)
M1NS-Ia-1.1
LS2CP/NS-NS-PSB-
BL-3.2
√
3.3 Identify numbers from 0–1000 with emphasis on 101–1000 M2NS-Ia-1.2
LS2CP/NS-NS-PSB-
BL/LE-3.3
√ √
3.4
Identify numbers up to 10,000 with emphasis on 1001–
10,000
M3NS-Ia-1.3
LS2CP/NS-NS-PSB-
LE/AE-3.4
√ √
3.5
Identify numbers up to 100,000 with emphasis on numbers
10,001–100,000
M4NS-Ia-1.4
LS2CP/NS-NS-PSB-
AE-3.5
√
3.6
Identify numbers up to 10,000,000 with emphasis on
100,001–10,000,000
M5NS-Ia-1.5
LS2CP/NS-NS-PSB-
AE-3.6
√
4 Translate numbers/symbols into words or viceversa M1NS-If-9.1
LS2CP/NS-NS-PSB-
BL/LE-4
√ √
4.1
Translates symbols/numbers into words of one-digit whole
numbers or vice-versa
M1NS-If-9.1
LS2CP/NS-NS-PSB-
BL-4.1
√

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
4.2
Translates two- and three-digit whole numbers into words
or symbols, or vice-versa
M1NS-If-9.1
LS2CP/NS-NS-PSB-
BL/LE-4.2
√ √
4.3
Translates numbers/symbols of 4- to 6- digit whole
numbers into words and viceversa
M2NS-Ic-9.2
M3NS-Ia-9.3
M4NS-Ia-9.4
LS2CP/NS-NS-PSB-
LE/AE-4.3
√ √
5 Represents numbers using variety of materials
LS2CP/NS-NS-PSB-
BL/LE/AE/LS/AS-5
√ √ √ √ √
5.1
Represents numbers from 0–20 (Kindergarten level)
MKC-00-4 LS2CP/NS-NS-PSB-
BL-5.1
√
*number of children in the family √
*number of students in the ALS class √
*number of chicks hatched by a mother hen √
5.2
Represents numbers from 0–100 M1NS-Ia-1.1
LS2CP/NS-NS-PSB-
BL-5.2
√
*number of trees in the field/farm √
*number of days in one month √
5.3
Represents numbers from 101–1000 using variety of
materials
LS2CP/NS-NS-PSB-
BL/LE-5.3
√ √
*number of days per year √
*number of population in the community √
6
Counts and groups objects: M1NS- Id-5
LS2CP/NS-NS-PSB-
BL/LE/AE-6
√ √ √
*by piece or by dozen as in eggs, by kind or size as in fish
and fruits
√
*by kaing as in fruits √
*by sacks as in rice, cement √
*by the number of male and female in a learning group √
*by votes cast per candidate in a barangay election √
7
Identifies the parts/elements of a group (e.g., fruits and
vegetables sold by a stall owner)
LS2CP/NS-NS-PSB-
LE/AE-7
√ √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
8
Determines the common parts/components found between
two groups (e.g., the similar kinds of plants sold in two
different stalls in a garden show)
LS2CP/NS-NS-PSB-
LE/AE-8
√ √
9
Determines the parts/components of two groups (e.g.,
assorted canned goods in one basket and assorted fruits in
another basket)
LS2CP/NS-NS-PSB-
LE/AE-9
√ √
10
Determine the total number of subgroups in a group (e.g.,
the number of males and females in a barangay assembly
meeting)
LS2CP/NS-NS-PSB-
LE/AE-10
√ √
11
Gets the difference between two groups (e.g., in poultry
raising, by how many more are the hens than the roosters)
LS2CP/NS-NS-PSB-
LE/AE-11
√ √
12 Reads and writes money values (pesos and centavos)
MKAT-00-2
M1NS-Ij-19.1
LS2CP/NS-NS-PSB-
BL/LE/AE-12
√ √ √
13
Compares values of different denominations of Philippine
coins and paper bills using the relation symbols: >, < or =
M2NS-If-22.1
LS2CP/NS-NS-PSB-
BL/LE/AE-13
√ √ √
* Value of coins to paper bills and vice versa M2NS-If-21 √ √ √
* Amount of paper bills equivalent to the total number of
coins with similar/different denomination
M2NS-If-21 √ √ √
14 Counts money to pay specific items
LS2CP/NS-NS-PSB-
LE/AE-14
√ √
14.1
Counts and records the amount of money earned for the
day, e.g., jeepney/tricycle driver/employees/ laborers
LS2CP/NS-NS-PSB-
LE-14.1
√
14.2 Records daily sales in a sari-sari store
LS2CP/NS-NS-PSB-
LE-14.2
√
15
Prepare an inventory of stocks and supplies in a sari-sari
store or mini grocery
LS2CP/NS-NS-PSB-
LE-15
√

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
16
Gives the relationship between numbers using money
values
LS2CP/NS-NS-PSB-
LE/AE-16
√ √
17 Ordinal numbers
LS2CP/NS-NS-PSB-
LE-17
√
17.1
Compares whole numbers using >, < and = symbols. M1NS-Id- 6
LS2CP/NS-NS-PSB-
LE-17.1
√
*compares prices using greater than/less than/equal to (>,
<, =)
√
*compares the volume of harvested commodities using
specific unit of measure
√
*compares numbers up to 100000 using relation symbols √
17.2
Reads and writes ordinal numbers (1st, 2nd, 3rd up to
10th) in a given set and use them to rank sets of objects,
e.g.:
M1NS-Ii-17.1
LS2CP/NS-NS-PSB-
BL-17.2
√
* results of contests in the community √
* results of sports events √
* results of elections (barangay, municipal, provincial and
national)
√
17.3
Uses ordinal numbers to rank sets of objects in everyday
life, e.g.:
LS2CP/NS-NS-PSB-
LE-17.3
√
*rank of person according to height/weight √
* position of people lined up waiting to be served like in
buying a ticket at a bus terminal, in a health center, etc.)
√
* relative position of candidates in a barangay election
according to the number of votes cast
√
* rank of learners according to number of attendance √
17.4
Use of correct mathematical symbols (+, -, x, ¸,<, >, =) in
solving simple mathematical problems
LS2CP/NS-NS-PSB-
LE-17.4
√
18 Reads and writes Roman numbers
LS2CP/NS-NS-PSB-
LE-18
√

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
numbers on clocks √
dates in Roman numbers √
18.1
Changes Roman numbers to equivalent Hindu-Arabic
numbers or viceversa
LS2CP/NS-NS-PSB-
LE-18.1
√
19
Composes and decomposes a given number .e.g., 5 is 5
and 0; 4 is 1 and 3, and 2 and 2; and 3, 1, and 4, 0, and 5
M1NS-Ic-4
LS2CP/NS-NS-PSB-
LE-19
√
20
Adds and subtracts 1- and 2-digit whole numbers without
regrouping, e.g.:
LS2CP/NS-NS-PSB-
BL-20
√
* find the total number of vegetables of different kinds
harvested from a backyard garden
√
*compute the number of vegetables sold from the total
number harvested and unsold
√
20.1
Adds and subtracts 2- to 4-digit whole numbers with
regrouping, e.g.:
LS2CP/NS-NS-PSB-
LE-20.1
√
*compute the total amount of expenses in harvesting
specific commodity
√
* add the total cost of items bought in the market, sari-sari
store or grocery
√
*compute the change for items bought √
20.2
Adds and subtracts 4- to 6-digit whole numbers or more
with regrouping, e.g.:
LS2CP/NS-NS-PSB-
LE-20.2
√
* compute the daily gross sales of a sari-sari store √
*calculating daily profit/loss after deducting expenses from
the gross sales on sari-sari store
√
20.3
Represents and solves routine and nonroutine problems
involving subtraction of whole numbers including money
with minuends up to 99 with and without regrouping using
appropriate problem-solving strategies and tools
M1NS-IIi-34.1
LS2CP/NS-NS-PSB-
BL-20.3
√
*find the daily expenses of the family √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
20.4
Creates situations involving addition of whole number
including money
M1NS-Iie-30.2
M2NS-Ij-30.2
LS2CP/NS-NS-PSB-
LE-20.4
√
*determine the sources of expenses of a common farmer
and its production expenses in one harvest season
√
20.5
20.5. Solves one-step problems related to daily life
involving addition or subtraction without
regrouping, e.g.:
LS2CP/NS-NS-PSB-
LE-20.5
√
*total number of assorted fruits harvested √
* determine the number of fruits sold from the total
harvest and the unsold number of fruits
√
21
Multiplies and divides a 1 to 2-digit whole number by a 1
digit number, e.g.:
M3NS-IIb-40.5
LS2CP/NS-NS-PSB-
BL/LE-21
√ √
*compute the total number of eggs on 2 to 9 one-dozen
trays
√ √
*compute the total fare of 3–9 persons in going to the
market
√ √
* compute the equal share of each student on chocolate
cookies
√ √
*compute the equal contribution of each family in
community event
√ √
21.1
Multiplies and divides a 2 to 3-digit whole number by a 1-
to 2-digit number, e.g.:
M3NS-IIc-43.1
M3NS-IIh-54.1
LS2CP/NS-NS-PSB-
LE-21.1
√
*computing the total cost of grocery items purchased √
*computing the unit cost of school supplies bought (e. g.,
pencils, notebook, or ball pens)
√
21.2
Multiplies and divides 3- to 5-digit whole numbers by a 2-
to 3-digit whole number, e.g.:
M4NS-Ic-43.7
M4NS-If-54.3
LS2CP/NS-NS-PSB-
LE/AE-21.2
√ √
*compute the total earning of a laborer based on his daily
wage
√ √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
*compute the daily wage of a domestic helper based on
her monthly income
√ √
22
Applies knowledge of multiplication and division to solve
daily problems
LS2CP/NS-NS-PSB-
LE/AE-22
√ √
23
Solves two-step problems involving 2- to 4-digit numbers
using any two of the four fundamental operations, e.g.:
LS2CP/NS-NS-PSB-
LE/AE-23
√ √
*After computing the total number of assorted canned
goods donated, compute the equal share among the
number of families in the barangay
√ √
*Solves problems involving multiple steps using the four
fundamental operations, e.g.:
√ √
*After a laborer computed his total earnings for the week,
he sets aside an amount for his daily fare, and divides the
remaining amount for the allowance of his three children.
√ √
24
Demonstrates an understanding of the order of operations
of the four fundamental mathematical operations (+, -, x,
¸) to solve problems with 3 or 4 steps applying the
principle of MDAS, i. e., multiplication is done first before
division and then addition; the last operation to be done is
subtraction in the case of a 4-step problem, e.g.:
M4NS-Ii-61.1
LS2CP/NS-NS-PSB-
AE-24
√
*total cost of goods purchased, profit from the selling price
of goods, budgeting monthly expenses based on profits
√
*total distance travelled, number of liters of gasoline
consumed, given an average speed – the number of hours
to reach a specific place
√
* determining the total cost of items sold/bought √
* budgeting the monthly income according to family needs √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
* determining daily/weekly/monthly and annual
income/salary
√
* determining the amount of monthly payments for a loan √
25
Solves problems involving multiple steps using the four
fundamental operations, e.g.:
LS2CP/NS-NS-PSB-
AE-25
√
26
States, explains, and interprets Parenthesis, Multiplication,
Division, Addition, Subtraction(PMDAS) or Grouping,
Multiplication, Division, Addition, Subtraction (GMDAS) rule
M5NS-Ic-61.2 LS2CP/NS-NS-PSB-
AE-26
√
27
Simplifies a series of operations on whole numbers
involving more than two operations using the PMDAS or
GMDAS rule
M5NS-Id-62.2
LS2CP/NS-NS-PSB-
AE/LS-27
√ √
28
Demonstrates comprehension of whole numbers and their
uses in everyday life
LS2CP/NS-NS-PSB-
BL/LE/AE/LS/AS-28
√ √ √ √ √
29 Reads and writes fractions in symbols and in words M1NS-IIIb-72.1
LS2CP/NS-NS-PSB-
LE-29
√
29.1
Uses fractions to name the equal parts of a whole, e.g.:
M1NS-IIIb-72.1
M1NS-IIIc-73
LS2CP/NS-NS-PSB-
LE-29.1
√
*Identify the fractional part of a cake cut into four equal
parts
√
*Identify the fraction illustrating the shaded part of a
rectangular piece of land
√
29.2
Identifies the different kinds of fractions
LS2CP/NS-NS-PSB-
LE-29.2
√
*For similar fractions, e.g., Given a one-dozen tray of eggs,
three eggs were used for baking. Identify the fraction form
for the eggs used for baking and the fraction form for the
eggs left in the tray.
√

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
*For dissimilar fractions, e.g., Given two flower vases, in
one vase there are 6 roses 3 of which are red on the other
vase, there are 8 roses 5 of which are also red. Identify the
fraction form of red roses in each vase.
√
29.3
Compares fractions using the symbols >, < or =, e.g.:
M2NS-IIIe-77.1
M3NS-IIIa-72.4
M3NS-IIIb-76.3
LS2CP/NS-NS-PSB-
LE/AE-29.3
√ √
*Given two bilaos of bibingka, one is divided into 4 equal
parts and the other is divided into 8 equal parts. Two parts
of the first bilao were served for the visitors and 4 parts of
the other bilao were set aside for the barangay officials.
Compare the fractional part of the bibingka that was
served and set aside from the two bilaos.
√ √
*From the same example above, compare 1part from each
of the bilaos. Which is greater/less?
√ √
29.4
Adds and subtracts similar fractions and whole numbers,
e.g.:
M4NS-IIf-82.1
M4NS-IIf-82.2
LS2CP/NS-NS-PSB-
LE-29.4
√
*Given a rectangular rice field divided equally into 6parts,
compute the total fractional part a farmer plowed in 2days
if on the first day he finished 2parts and 3 parts on the
second day
√
*With the computed total fractional part the farmer plowed
in the above example, compute the remaining fractional
part that was not yet plowed
√
29.5
Demonstrates knowledge/understanding and skills related
to fractions applying these skills in solving real life
problems
LS2CP/NS-NS-PSB-
AE-29.5
√
29.6
Computes for the Least Common Denominator (LCD),
Greatest Common Factor (GCF), and the lowest term of
fractions
LS2CP/NS-NS-PSB-
AE-29.6
√

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
29.7
Adds and subtracts similar and dissimilar fractions including
combinations with mixed numbers, e.g.:
LS2CP/NS-NS-PSB-
LE/AE-29.7
√ √
*Given 3boxes of pizza divided equally into 8 parts,
1learning group consumed 5 parts of 1box and another
group consumed 11 parts from the 2boxes. Compute the
total fractional parts consumed by the 2learning groups.
√ √
*From the above example, compute the remaining
fractional part that was not consumed by the first learning
group.
√ √
29.8 Get the reciprocal of fraction M5NS-Ih-94
LS2CP/NS-NS-PSB-
AE-29.8
√
29.9
Multiplies and divides fractions including mixed numbers,
e.g.:
M5NS-Ig-90.1
M5NS-Ii-96.1
LS2CP/NS-NS-PSB-
AE-29.9
√
* A family estate is subdivided among three brothers and a
surviving mother who is entitled to one-half of the whole
estate. The remaining half is to be equally divided among
her three sons. Compute the fractional part each son will
own.
√
30
Solves real-life problems involving fractions and mixed
numbers, e.g.:
LS2CP/NS-NS-PSB-
AE-30
√
* prices of fruit, vegetables, and meat √
* sharing something with others, e.g. money, cake, box of
chocolate or pizza, piece of land, etc.
√
* measuring ingredients for recipes (1/2 cup, 3/4 tbsp.) √
31 Identifies factors of a given number up to 100 M4NS-IIa-64
LS2CP/NS-NS-PSB-
AE-31
√
32 Identifies the multiples of a given number up to100 M4NS-IIa-65
LS2CP/NS-NS-PSB-
AE-32
√
33 Differentiates prime from composite numbers M4NS-IIb-66
LS2CP/NS-NS-PSB-
AE-33
√

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
33.1 Writes a given number as a product of its prime factors
M4NS-IIb-67 LS2CP/NS-NS-PSB-
AE-33.1
√
33.2
Find the common factors and the greatest common factor
(GCF) of two numbers using the following methods: listing,
prime factorization, and continuous division
M4NS-IIc-68.1
LS2CP/NS-NS-PSB-
AE-33.2
√
33.3
Finds the common multiples and least common multiple
(LCM) of two numbers using the following methods: listing,
prime factorization, and continuous division
M4NS-IIc-69.1
LS2CP/NS-NS-PSB-
AE-33.3
√
34
Solves real-life problems involving GCF and LCM of 2 given
numbers
M4NS-IId-70.1
LS2CP/NS-NS-PSB-
AE-34
√
34.1
Creates problems with reasonable answers involving GCF
and LCM of 2 given numbers
M4NS-IId-71.1
LS2CP/NS-NS-PSB-
AE-34.1
√
35
Uses divisibility rules for 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and
12 to find the common factors of numbers
M5NS-Ib-58.1
M5NS-Ib-58.2
M5NS-Ib-58.3
LS2CP/NS-NS-PSB-
AE-35
√
35.1
Solves routine and nonroutine problems involving factors,
multiples, and divisibility rules for 2,3,4,5,6,8,9,10,11,
and12.
M5NS-Ic-59
LS2CP/NS-NS-PSB-
AE-35.1
√
35.2
Creates problems (with reasonable answers) involving
factors, multiples, and divisibility rules
M5NS-Ic-60
LS2CP/NS-NS-PSB-
AE-35.2
√
36
Finds the common factors and the GCF of 2–4 numbers
using continuous division
M5NS-Id-68.2
LS2CP/NS-NS-PSB-
AE-36
√
36.1
Finds the common multiples and LCM of 2–4 numbers
using continuous division
M5NS-Id-69.2
LS2CP/NS-NS-PSB-
AE-36.1
√
36.2
Solves real-life problems involving GCF and LCM of 2–3
given numbers
M5NS-Ie-70.2
LS2CP/NS-NS-PSB-
AE-36.2
√
36.3
Creates problems (with reasonable answers) involving GCF
and LCM of 2–3 given numbers
M5NS-Ie-71.2
LS2CP/NS-NS-PSB-
AE-36.3
√
37 Reads and writes decimals in words and symbols, e.g.: M4NS-IIj-102.1
LS2CP/NS-NS-PSB-
AE-37
√

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
* Given 15.378, write the number in words √
* Given four hundred twenty one and nine tenths, write
the number in symbols.
√
38
Identifies the place value and value of the digits of a
decimal, e.g.:
M4NS-IIi-101.1
LS2CP/NS-NS-PSB-
AE-38
√
*Given twelve grapefruits to sell and an additional half
given to the vendor, identify the decimal number that
represents the grapefruits and the place value of each digit
(12.5)
√
*Given three boxes of buko pie, the two boxes are full and
the third contains only three-fourths. Identify the decimal
number that represents the buko pie and the place of each
digit (2.75)
√
39
Compares the value of the digits of a decimal, e.g.: M4NS-IIj-104.1
LS2CP/NS-NS-PSB-
AE-39
√
*Given 13.003, compare the value of the underlined digits √
*Given 5.66, compare the value of the underlined digits. √
40
Round off decimals, e.g.: M4NS-IIj-103.1
LS2CP/NS-NS-PSB-
AE-40
√
*One ream of bond paper contains 500 sheets. If the
printer needs 2,300 sheets, how many reams of bond
paper does he need to buy? (He needs 4.6 reams.)
√
*An NFE A&E secondary level learner got a general
average of 85.4 in his elementary level work in the formal
school. What is his average rounded off to the nearest
whole number?
√
41
Rounds decimal numbers to the nearest hundredth and
thousandth
M5NS-IIa-103.2
LS2CP/NS-NS-PSB-
AE-41
√

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
42
Visualizes decimal numbers using models like blocks, grids,
number lines and money to show the relationship to
fractions
M4NS-IIi-99
LS2CP/NS-NS-PSB-
AE-42
√
43
Converts decimals into fractions and vice versa, e.g.: M4NS-IIi-100
LS2CP/NS-NS-PSB-
AE-43
√
*0.06 test takers passed the test is the same as 6 out of
every 100 test takers or 6/100
√
*3/10 of the NFE A&E learners completed the learning
sessions is the same as 3 out of every ten learners or 0.3.
√
44
Adds and subtracts decimals, e.g.: M6NS-Id-106.2
LS2CP/NS-NS-PSB-
AE-44
√
* Compute the total number of kilos of cabbage harvested √
* Compute the difference of the distance of two barangays
from the poblacion
√
45
Demonstrates knowledge understanding and skills related
to decimals by applying these skills in solving real life
problems
LS2CP/NS-NS-PSB-
AE-45
√
46
Solves 1or more steps routine and nonroutine problems
involving addition and/or subtraction of decimals and
mixed decimals using appropriate problem-solving
strategies and tools
M6NS-Id-108.2
LS2CP/NS-NS-PSB-
AE-46
√
47
Multiplies mentally decimals up to2 decimals places by 0.1,
0.01, 10, and 100.
M6NS-Ie-111.4
LS2CP/NS-NS-PSB-
AE-47
√
48
Visualizes division of decimal numbers using pictorial
models
M5NS-IIf-115
LS2CP/NS-NS-PSB-
AE-48
√
49
Multiplies and divide decimals, e.g.:
M5NS-IId-111.2
M5NS-IIf-116.1
LS2CP/NS-NS-PSB-
AE-49
√
*Compute the total length of material needed for fencing √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
*Compute the equal distribution of tasks of students in a
group work
√
50
Divides decimals up to 4 decimal places by 0.1, 0.01, and
0.001
M6NS-Ih-116.5
LS2CP/NS-NS-PSB-
AE-50
√
51
Divides decimals up to 2 decimal places by 10,100, and
1000 mentally
M6NS-Ih-118
LS2CP/NS-NS-PSB-
AE-51
√
52
Differentiates terminating from repeating, nonterminating
decimal quotients
M6NS-Ii-119
LS2CP/NS-NS-PSB-
AE-52
√
53
Solves problems in daily life involving decimals that are
money related, e.g.:
M6NS-Ii-120.2
LS2CP/NS-NS-PSB-
AE-53
√
* preparing a family budget √
* calculating marketing expenses √
* computing daily/weekly and monthly wages √
* adding income/expenses and computing profit/loss √
* preparing a financial statement/balance sheet √
54
Reads and writes pesos and centavos in words and
symbols
M3NS-Ic-20.2
LS2CP/NS-NS-PSB-
AE-54
√
54.1
Adds and subtracts decimals in money form, e.g.:
LS2CP/NS-NS-PSB-
AE-54.1
√
*giving change √
*borrowing/lending money √
*computing the cost of postage when sending letters √
*depositing/withdrawing money √
54.2
Multiplies and divides decimals involving money, e.g.:
LS2CP/NS-NS-PSB-
AE-54.2
√
* total cost of goods purchased √
* giving equal amount of money among the children √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
55
division without or with any of the other operations of
decimals, mixed decimals, and whole numbers including
money
M6NS-Ij-121.2
LS2CP/NS-NS-PSB-
AE-55
√
56
Reads and writes ratios and proportions in words and
symbols, e.g.:
M5NS-IIh-122
M5NS-IIh-123
LS2CP/NS-NS-PSB-
AE-56
√
*one stick to two bananas (1: 2, or one is to two) √
*twenty-five learners to one Instructional Manager
(twenty-five is to one or 25:1)
√
57
Gives examples of real life relationships in the form of ratio
and proportion, e.g.:
LS2CP/NS-NS-PSB-
AE-57
√
*the ratio of passengers to the seating capacity of a
jeepney
√
*the ratio of modules to learners √
*the ratio of the number of learners to Instructional
Managers
√
*the ratio of graduates to the number of persons actually
employed in one’s community
√
* the ratio of birth rate to death rate per year in one’s
barangay
√
*the ratio and proportion of males and females in a
barangay population
√
57.1
Explains the meaning of ratio and proportion and how they
are related
M6NS-IIb-131
LS2CP/NS-NS-PSB-
AE-57.1
√
58
Identifies equivalent ratios, e.g.: M5NS-IIi-124
LS2CP/NS-NS-PSB-
AE-58
√
* 1 Instructional Manager : 25 learners is the same as 2:50 √
* 4 scoops of powdered milk : 2 cups of water is the same
as 8: 4
√

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
59
Expresses one value as a fraction of another given their
ratio and vice versa
M6NS-IIa-129
LS2CP/NS-NS-PSB-
AE-59
√
60
Finds how many times one value is as large as another
given their ratio and viceversa
M6NS-IIa-130
LS2CP/NS-NS-PSB-
AE-60
√
61
Simplifies ratio to its lowest term, e.g.:
LS2CP/NS-NS-PSB-
AE-61
√
*The ratio of male to female in a learning group is 5:10
which is 1:2 in lowest term
√
*The ratio of the number of eggs to number of cups of
flour for baking is 8:12, which is 2:3 in lowest term
√
62
Converts ratio to fractions and vice versa, e.g.:
LS2CP/NS-NS-PSB-
AE-62
√
*The ratio of buses to jeepneys is 25:75, which is 25/75 in
fraction form
√
*The ratio of roosters to mother hens in the backyard
poultry is 9/26, which is 9:26 in ratio form
√
63
Differentiates between ratio and rate, e.g.:
LS2CP/NS-NS-PSB-
AE-63
√
*the number of cups of salt to the number of cups of fish
(dilis) in making bagoong (ratio)
√
*the number of dresses a dressmaker can sew per day
(rate)
√
64
Solves daily life problems involving ratio and proportion
and rate, e.g.:
LS2CP/NS-NS-PSB-
AE-64
√
*cost of one piece of fruit based on its cost per dozen √
*cost of a cavan of rice based on price per kilo √
*number of words a secretary can type during a given
period of time based on the number of words she can type
per minute
√

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
*distance traveled by a car in kilometer/mile per liter of
fuel consumed
√
65
Creates problems involving ratio and proportion, with
reasonable answers
M6NS-IIc-135
LS2CP/NS-NS-PSB-
AE-65
√
66
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
LS2CP/NS-NS-PSB-
AE-66
√
67
Finds a missing term in a proportion (direct, inverse, and
partitive).
M6NS-IIb-133
LS2CP/NS-NS-PSB-
AE-67
√
68
Demonstrates knowledge of ratio and proportion as applied
in solving real-life problems
LS2CP/NS-NS-PSB-
AE-68
√
69
Explains the meaning of percent and percentage and its
practical application in everyday life
M5NS-IIIa-136
LS2CP/NS-NS-PSB-
AE/LS-69
√ √
70 Converts percent to decimals and viceversa
LS2CP/NS-NS-PSB-
AE/LS-70
√ √
71 Converts percent to fractions and viceversa
LS2CP/NS-NS-PSB-
AE/LS-71
√ √
72
Solves daily life problems involving percent and
percentages, e.g.:
LS2CP/NS-NS-PSB-
AE/LS-72
√ √
*buying in cash vs. installment √ √
*family budget √ √
*commission on sales √ √
*discount on mark-up prices √ √
*taxes, e.g., income tax, VAT √ √
*interest rates on loans including the ―5-6‖ scheme,
savings account and time deposit
√ √
* mixing chemicals using the correct proportion, e.g.,
chemical fertilizers
√ √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
73
Creates problems involving percent, with reasonable
answers
M5NS-IIIb-141
LS2CP/NS-NS-PSB-
AE/LS-73
√ √
74
Demonstrates knowledge and skills on percent and
percentage in solving real-life problems
M5NS-IIIb-140
LS2CP/NS-NS-PSB-
AE/LS-74
√ √
75 Defines set and other related terms M7NS-Ia-1
LS2CP/NS-NS-PSB-
LS-75
√
76 Discusses the different kinds of sets M7NS-Ia-1
LS2CP/NS-NS-PSB-
LS-76
√
77 Finds the subset of a given set
LS2CP/NS-NS-PSB-
LS-77
√
78 Determines the total number of subsets of a given set
LS2CP/NS-NS-PSB-
LS-78
√
79 Determines whether a given set is joint or disjoint
LS2CP/NS-NS-PSB-
LS-79
√
80 Determines whether a given set is equal or equivalent
LS2CP/NS-NS-PSB-
LS-80
√
81 Determines the union of two sets M7NS-Ia-2
LS2CP/NS-NS-PSB-
LS-81
√
82 Determines the intersection of two sets M7NS-Ia-2
LS2CP/NS-NS-PSB-
LS-82
√
83 Demonstrates skills in operation on sets
LS2CP/NS-NS-PSB-
LS-83
√
84 Gets the difference between the two sets M7NS-Ia-2
LS2CP/NS-NS-PSB-
LS-84
√
85 Gets the complement of a set
LS2CP/NS-NS-PSB-
LS-85
√
86 Solves problems in real life using Venn diagrams M7NS-Ib-1
LS2CP/NS-NS-PSB-
LS-86
√
87 Defines and classifies real numbers
LS2CP/NS-NS-PSB-
LS-87
√

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
88 Describes and draws a number line M7NS-Ic-1
LS2CP/NS-NS-PSB-
LS-88
√
89 Shows the different sets of real numbers on a number line M7NS-Ic-1
LS2CP/NS-NS-PSB-
LS-89
√
90 Determines the properties of real numbers
LS2CP/NS-NS-PSB-
LS-90
√
91 Finds the absolute value of a number M7NS-Ic-1
LS2CP/NS-NS-PSB-
LS-91
√
92 Performs operations dealing with absolute values
LS2CP/NS-NS-PSB-
LS-92
√
93 Describes the set of integers
LS2CP/NS-NS-PSB-
LS-93
√
94
Compares integers with other numbers such as whole
numbers, fractions, and decimals
M7NS-Ie-1
LS2CP/NS-NS-PSB-
LS-94
√
95
Reads and writes positive and negative numbers on
number line
LS2CP/NS-NS-PSB-
LS-95
√
96 Adds integers using the number line
LS2CP/NS-NS-PSB-
LS-96
√
97 Adds and subtracts positive and negative numbers.
LS2CP/NS-NS-PSB-
LS-97
√
98
Applies knowledge of addition and subtraction of integers
in solving daily problems, e.g.:
LS2CP/NS-NS-PSB-
LS-98
√
* add positive and negative money values in a profit/loss
statement
√
* prepare a balance sheet comparing budgeted line items
and actual expenses
√
99 Performs multiplication and division of integers
LS2CP/NS-NS-PSB-
LS-99
√
100
Applies knowledge of multiplication and division of integers
to solve daily problems, e.g.:
LS2CP/NS-NS-PSB-
LS-100
√
* prepare an annual financial statement of sale √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
* determine sale items with a negative return of profit and
calculate total losses and losses per item
√
101
Solves routine and nonroutine problems involving basic
operations of integers using appropriate strategies and
tools
LS2CP/NS-NS-PSB-
LS-101
√
102
Applies knowledge involving integers to solve problems in
daily life
M7NS-Ii-2
LS2CP/NS-NS-PSB-
LS-102
√

June 2017
Performance Standard C: Demonstrate knowledge and skills involving geometric shapes/figures and its application to daily lives.
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
1
Represents point, line, and plane using concrete and
pictorial models
M7GE-IIIa-1
LS2CP/NS-NS-PSC-
LE-1
√
1.1
Identify objects that represent point, line and plane such as
paper, rope, farm land, wall, ceiling, etc.
LS2CP/NS-NS-PSC-
LE-1.1
√
1.2 Illustrates subsets of a line M7GE-IIIa-2
LS2CP/NS-NS-PSC-
LE-1.2
√
2
Illustrates different types of lines such as perpendicular,
parallel and intersecting lines
M4GE-IIIa-12.2
M3GE-IIIf-12.1
LS2CP/NS-NS-PSC-
LE-2
√
2.1
Identify different types of lines such as perpendicular,
parallel, and intersecting lines in real objects
LS2CP/NS-NS-PSC-
LE-2.1
√
3 Draws congruent line segments M3GE-IIIf-13
LS2CP/NS-NS-PSC-
LE-3
√
3.1 Identifies congruent line segments M3GE-IIIf-13
LS2CP/NS-NS-PSC-
LE-3.1
√
4
Identifies plane figures, e.g., triangle, square, rectangle,
circle.
M1GE-IIIe-1
M4GE-IIIc-17
M5GE-IIIc-19
LS2CP/NS-NS-PSC-
LE-4
√
4.1
Tessellates the plane using triangles, squares, and other
shapes
M2GE-IIIi-8.2
M3GE-IIIh-8.3
LS2CP/NS-NS-PSC-
LE-4.1
√
* identify real objects thatare examples of tesselation such
as tiles, roof
√
4.2
Describes geometric shapes at home and workplace; e. g.
shape of furniture, shape of the roof
M4GE-IIIb-15
LS2CP/NS-NS-PSC-
BL/LE/AE-4.2
√ √ √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
5
Applies the principles of geometric shapes in daily life
situations
M9GE-IVe-1
LS2CP/NS-NS-PSC-
LE/AE/LS/AS-5
√ √ √ √
6
Relates geometric ideas to number and measurement
ideas, including the concepts of perimeter, area, volume,
angle measure, capacity, weight, and mass
LS2CP/NS-NS-PSC-
LE/AE/LS/AS-6
√ √ √ √
7
Uses a variety of tools and technologies to study geometry,
e.g., ruler, protractor, compass, software
M1GE-IIIf-4
M2GE-IIIg-6
M4ME-IIIh-49
LS2CP/NS-NS-PSC-
LE/AE/LS/AS-7
√ √ √ √
8
Identifies the line of symmetry in a given symmetrical
figure
M2GE-IIIh-7.4a
M3GE-IIIg-7.4
LS2CP/NS-NS-PSC-
LE-8
√
* identify the line of symmetry of a butterfly √
* identify the line of symmetry of a given object √
8.1 Draws the line of symmetry in a given symmetrical figure M3GE-IIIg-7.4
LS2CP/NS-NS-PSC-
LE-8.1
√
8.2
Completes a symmetric figure with respect to a given line
of symmetry
M3GE-IIIh-7.5
LS2CP/NS-NS-PSC-
LE-8.2
√
8.3
Differentiates symmetrical from asymmetrical shapes in
furniture, houses, and buildings
LS2CP/NS-NS-PSC-
LE-8.3
√
9 Illustrates an angle
M4GE-IIIb-14
M7GE-IIIe-2
LS2CP/NS-NS-PSC-
AE-9
√
9.1
Draws different types of angles found in the objects used
in daily life, e.g., right angles, acute angles, obtuse angles
M4GE-IIIb-14
LS2CP/NS-NS-PSC-
AE-9.1
√
9.2
Measures angles found in geometric shapes using a
protractor, e.g.:
LS2CP/NS-NS-PSC-
AE/LS-9.2
√ √
· sawing of lumber √ √
· laying of floor tiles √ √
· drawing pie graphs √ √
· following a sewing pattern √ √
· constructing furniture √ √
· welding metals √ √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
10
Converts the given measurement of an angle to unit
degrees or radians and viceversa
LS2CP/NS-NS-PSC-
LS/AS-10
√ √
11
Classifies triangles according to measure of its angles and
sides
M4GE-IIIb-16
LS2CP/NS-NS-PSC-
AE-11
√
11.1
Identifies and describes triangles according to sides and
angles using concrete objects
M4GE-IIIc-16
LS2CP/NS-NS-PSC-
AE-11.1
√
12
Describes the attributes/properties of triangles and
quadrilaterals using concrete objects or models
M4GE-IIIb-15
LS2CP/NS-NS-PSC-
AE-12
√
12.1
Describes the different kinds of quadrilaterals and its
properties: square, rectangle, parallelogram, trapezoid, and
rhombus
M4GE-IIIc-17
LS2CP/NS-NS-PSC-
AE-12.1
√
12.2
Identifies the different kinds of quadrilaterals: square,
rectangle, parallelogram, trapezoid, and rhombus on many
objects such as wall, roof, field, etc.
M4GE-IIIc-17
LS2CP/NS-NS-PSC-
AE-12.2
√
13 Relates triangles to quadrilaterals M4GE-IIId-18.1
LS2CP/NS-NS-PSC-
AE-13
√
13.1
Relates one quadrilateral to another quadrilateral (e.g.
square to rhombus)
M4GE-IIId-18.2
LS2CP/NS-NS-PSC-
AE-13.1
v
14 Describes polygons with 5 or more sides M5GE-IIIc-19
LS2CP/NS-NS-PSC-
AE-14
√
14.1 Name polygons according to number of sides M5GE-IIIc-19
LS2CP/NS-NS-PSC-
AE-14.1
√
14.2 Draws polygons with 5 or more sides M5GE-IIIc-21
LS2CP/NS-NS-PSC-
AE-14.2
√
14.3
Constructs triangles, squares, rectangles, regular
pentagons, and regular hexagons
M7GE-IIIh-i1
LS2CP/NS-NS-PSC-
AE/LS-14.3
√ √
15
Describes and compares properties of polygons (regular
and irregular polygons)
M5GE-IIIc-20
LS2CP/NS-NS-PSC-
AE-15
√
15.1 Describe congruent polygons M5GE-IIId-22
LS2CP/NS-NS-PSC-
AE-15.1
√

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
16
Illustrates polygons: (a) convexity, (b) angles, and (c)
sides
M7GE-IIIe-2
LS2CP/NS-NS-PSC-
LS-16
√
17
Derives inductively the relationship of exterior and interior
angles of a convex polygon
M7GE-IIIf-1
LS2CP/NS-NS-PSC-
LS-17
√
18
Illustrates a circle and the terms related to it: radius,
diameter chord, center, arc, chord, central angle, and
inscribed angle
M7GE-IIIg-1
LS2CP/NS-NS-PSC-
LS-18
√
18.1 Draws circles with different radius using compass M5GE-IIIe-24
LS2CP/NS-NS-PSC-
LS-18.1
√
19 Describes solid figures M5GE-IIIe-25
LS2CP/NS-NS-PSC-
AE-19
√
19.1
Describes the different solid figures: cube, prism, pyramid,
cylinder, cone, and sphere
M6GE-IIIa-27
LS2CP/NS-NS-PSC-
AE-19.1
√
19.2
Differentiates plane from surface figures (2D and 3D
objects)
M6GE-IIIa-28
LS2CP/NS-NS-PSC-
AE-19.2
√
19.3
Illustrates the different solid figures using various concrete
and pictorial models
M6GE-IIIb-29
LS2CP/NS-NS-PSC-
AE/LS-19.3
√ √
19.4
Makes models of different solid figures—cube, prism,
pyramid, cylinder, cone, and sphere—using plane figures
M5GE-IIIe-26
LS2CP/NS-NS-PSC-
AE-19.4
√
19.5 Identifies the faces of a solid figure M6GE-IIIa-28
LS2CP/NS-NS-PSC-
AE-19.5
√
20
The Pythagorean Theorem and its application in real life
situations
M9GE-IIIi-2
LS2CP/NS-NS-PSC-
AS-20
√
21 The six trigonometric ratios M9GE-IVa-1
LS2CP/NS-NS-PSC-
AS-21
√
22 Illustrates angle of elevation and angle of depression M9GE-IVd-1
LS2CP/NS-NS-PSC-
AS-22
√
23 Illustrates the law of sines and law of cosines M9GE-IVf-g-1
LS2CP/NS-NS-PSC-
AS-23
√
23.1
Application of trigonometric ratios and law of sines and
cosines in real-life situations
M9GE-IVe-1
LS2CP/NS-NS-PSC-
AS-23.1
√

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
*finding the height of a tree/house/mountain √
*finding the distance of the boat from the shore √

June 2017
Performance Standard D: Demonstrate knowledge and skills in using measuring devices in solving real life problems.
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
1
Shows appreciation of indigenous measurement
technologies used by different cultures, e.g.:
· linear – dipa, dangkal, piye, hakbang
· weight – kilo, guhit
· volume – ganta, bilao, lata, chupa
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-1
√ √ √ √
2
Takes and records linear measurements, e.g., width,
length, height, distance using rulers, tape measures, meter
sticks and indigenous measuring devices
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-2
√ √ √ √
2.1
Uses appropriate units of length and distances for
measurement, e.g., millimeter (mm), centimeter (cm), inch,
feet (ft.), yard, meter (m), kilometer (km), and mile (mi).
M2ME-IVb-23
M3ME-IVb-39
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-2.1
√ √ √ √
2.2
Compares the reliability and accuracy of linear
measurements of objects using standard units, e.g., mm,
cm, ft, m with indigenous ways, e.g., dangkal, dipa, piye,
hakbang
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-2.2
√ √ √ √
2.3
Converts smaller units of length to bigger units and vice
versa, e.g., meter to kilometer, centimeter to meter,
centimeter to millimeter, inches to feet, yards to feet
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-2.3
√ √ √ √
2.4
Converts one standard unit of length to another and vice
versa, e.g.:
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-2.4
√ √ √ √
*inches to centimeters/millimeters e.g., when buying
timber, nails or screws)
√ √ √ √
* yards to meters e.g., when buying materials for a dress
or curtains
√ √ √ √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
3
Applies the formula for computing perimeter and
circumference
M4ME-IIIi-49
M5ME-IIIh-68
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-3
√ √ √ √
3.1
Explains the meaning of perimeter and its practical
applications in daily life
LS2CP/NS-NS-PSD-
LE/AE-3.1
√ √
3.2
Computes the perimeter of different geometric shapes in
everyday life, e.g.:
M4ME-IIIi-51
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-3.2
√ √ √ √
* perimeter of a regular polygons like window frame, door,
rectangular garden to estimate the fencing materials
needed
√ √ √ √
* perimeter of a regular or an irregular polygon-shaped lot
for estimating the length of fencing materials needed, e.g.,
ricefield, vegetable garden, fishpond
√ √ √ √
4
Explains the meaning of circumference and related terms
like radius, diameter and its practical applications in daily
life situations, e.g.:
* length of metal edging needed for a circular table
* distance jogged by an athlete in an oval
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-4
√ √ √ √
4.1
Computes the diameter, radius and circumference of a
circle using the value of pi (p)
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-4.1
√ √ √ √
5
Applies knowledge and skills in solving daily life problems
involving linear measurement, perimeter, and
circumference of objects
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-5
√ √ √ √
6
Explains the meaning of area and its practical application in
real life situations, e.g.:
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-6
√ √ √ √
* the number of square units of cloth to cover a dining
table
√ √ √ √
* the number of square tiles needed to cover the floor area
of a living room
√ √ √ √
* given the length and the width of a ricefield, find its total
area
√ √ √ √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
6.1 Differentiates perimeter from area M4ME-IIIi-52
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-6.1
√ √ √ √
6.2
Identifies units of measurement, e.g., square meters,
square kilometers, hectares
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-6.2
√ √ √ √
6.3 Uses the appropriate units of measure in measuring area M3ME-IVd-43
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-6.3
√ √ √ √
6.4
Converts smaller units of area to bigger units and vice
versa, e.g.:
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-6.4
√ √ √ √
· square meters to hectares (measuring a piece of land) √ √ √ √
· square meters to square foot (determining the number of
tiles needed based on computed floor area)
√ √ √ √
6.5
Converts one standard unit of area in the English to the
metric system and vice versa, e.g., square feet to square
meters, square meters to acres, square inches to square
centimeters
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-6.5
√ √ √ √
7
Solves routine and nonroutine problems involving area of
composite figures formed by any two or more of the
following: triangle, square, rectangle, circle, and semicircle
M6ME-IIIh-90
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-7
√ √ √ √
8
Determines the area of a square and a rectangle with the
use of square objects representing standard square units
and compute the same applying the appropriate formulae
for the same plane figures, e.g.:
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-8
√ √ √ √
* finding the number of square objects representing square
inch to cover a book
* finding the number of square objects representing square
decimeters to cover a rectangular table
* computing for the area of the bathroom in square
decimeters to determine the number of tiles to be used of
the same square unit
* computing for the area of a square table to determine the
number of square place mats to cover it

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
9
Finds the area of irregular plane figures made up of
squares and rectangles using sq.cm, sq.m. and sq.ft.
M4ME-IIIj-55
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-9
√ √ √ √
9.1
Estimates the area of irregular plane figures made up of
squares and rectangles
M4ME-IVa-56
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-9.1
√ √ √ √
10
Uses appropriate formula in solving daily life problems
involving the area of plane figures: square, rectangle,
triangle, parallelogram, e.g.:
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-10
√ √ √ √
*given the area of a particular room, and floor tiles of
certain dimensions, compute for the number of tiles needed
to tile the floor
√ √ √ √
* given a farmland of a particular size and a recommended
number of seedlings per hectare, estimate the number of
seedlings needed to fully plant the area
√ √ √ √
* given the dimensions of a family estate that has an
irregular shape, compute for its area as basis for the
computation of real estate taxes
√ √ √ √
* given a certain floor area in a chicken hatchery/poultry
farm and the minimum space needed per chicken, compute
for the cage area requirements and the optimum layout of
cages on site
√ √ √ √
11
Derives the formula for the area of triangles,
parallelograms, and trapezoids
M4ME-IVb-57
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-11
√ √ √ √
12
Creates problems (with reasonable answers) involving area
involving squares, rectangles, triangles, parallelograms, and
trapezoids
M4ME-IVb-61
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-12
√ √ √ √
13
Applies knowledge and skills in measurement in solving
daily life problems on area
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-13
√ √ √ √
14 Derives a formula in finding the area of a circle M5ME-IVa-73
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-14
√ √ √ √
14.1 Finds the area of a given circle M5ME-IVa-74
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-14.1
√ √ √ √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
14.2
Solves routine and nonroutine problems involving the area
of a circle
M5ME-IVb-75
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-14.2
√ √ √ √
14.3 Creates problems involving a circle M5ME-IVb-76
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-14.3
√ √ √ √
15
Explains the meaning of surface area and its practical
application, e.g., estimating the amount of wrapping paper
for a gift in a square or rectangular box.
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-15
√ √ √ √
15.1
Describes surface area and names the
unit of measure used for measuring the surface area
of solid/space figures
M6ME-IIIi-91
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-15.1
√ √ √ √
15.2
Finds the surface area of cubes, prisms, pyramids,
cylinders, cones, and spheres
M6ME-IIIi-93
LS2CP/NS-NS-PSD-
LE/AE-15.2
√ √
15.3
Creates problems involving surface area and volume of
solid/space figures, with reasonable answers
M6ME-IVc-99
LS2CP/NS-NS-PSD-
LE/AE-15.3
√ √
15.4
Uses appropriate formula involving problems on surface
area, e.g.:
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-15.4
√ √
*compute for the amount of paint needed to coat the
surface area of a cylindrical water tank
* compute for the surface area of a cube to estimate the
number of sheets of Manila paper to wrap it
16 Computes for the volume of spatial figures
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-16
√ √ √ √
16.1
Compares the concept of area with that of volume in terms
of figures, dimensions, unit of measurements, total outside
surface or bulk/fullness, formulae for computation, etc.
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-16.1
√ √ √ √
16.2
Identifies practical applications of volume e.g., cubic
centimeters (cc), milliliters (ml), cubic meters, cubic inches,
cubic feet, liters, gallons, pints and fluid oz., e.g.:
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-16.2
√ √ √ √
* liquid medicine and vitamins for children per prescribed
dose, bottles for preparing infant milk formula, measuring
the ingredients of a recipe, etc.
√ √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
* amount of water needed to fill a cylindrical tank √ √
16.3
Measures, reads and records measures of volume using
standard equipment and indigenous measures; e. g., one
liter of coke and one ganta of corn/rice
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-16.3
√ √ √ √
16.4
Converts smaller units of volume to bigger units and
viceversa, e.g., milliliters(ml) to liters (L) or L to ml, e.g.:
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-16.4
√ √ √ √
* teaspoon or tablespoon to milliliters (giving medication to
sick people or using it in cooking)
√ √
* find out how many bottles of 500 ml softdrinks are
equivalent to 1-liter bottle
√ √
* find out how many 8-oz bottles are equivalent to a gallon
of kerosene
√ √
16.5
Converts one standard unit of volume from the English to
the metric system and vice versa, e.g.:
M7ME-IIb-1
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-16.5
√ √ √ √
* ml to oz. (baby’s milk formula) √ √ √ √
* quarts to liters (cooking oil, plastic roof cement) √ √ √ √
* gallons to liters (buying paints). √ √ √ √
* pints to liters (buying milk or other fluids). √ √ √ √
17
17. Approximates measurement of volume in everyday use,
e.g.:
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-17
√ √ √ √
* number of cups of flour needed in baking √ √ √ √
* number of liters of milk/water consumed √ √ √ √
* number of liters/gallons of gasoline needed to refill the
tank of a motorcycle/habal-habal/tricycle/car
√ √ √ √
18
Uses appropriate formula to find the volume of various
solids, e.g., cylinders, cubes, rectangular prisms, spheres,
etc. in solving everyday problems, like:
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-18
√ √ √ √
* mixture of water and insecticide for proper use on a
given area
* the number of liters of water needed for daily
consumption

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
* consumption of gasoline/kerosene/diesel per day with the
idea of reducing cost or making some savings
* volume of stones in making dams/breakwaters
* floor area and ceiling height to determine storage
capacity for various items, e.g., harvested crops, store
furniture, packing cases
* output of quarrying in cubic meters based on land area
19
Uses indigenous measures to estimate the volume of
objects, e.g.
LS2CP/NS-NS-PSD-
BL/LE/AE/LS/AS-19
√ √ √ √ √
* number of cups equivalent to the content of one ganta √ √ √ √
* pails of water and their equivalent in gallons/liters used in
household chores
√ √ √ √
20
Demonstrates understanding of the meaning of
mass/weight
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-20
√ √ √ √
21
Read and record measures of mass/weight of objects using
standard measuring devices and indigenous ways, e.g.:
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-21
√ √ √ √
* for determining weight of children, pregnant
women
√ √ √ √
* for eating – rice, fish, meat, fruits, vegetables √ √ √
* for baking – flour, sugar, milk, salt, oil √ √ √ V
* for construction – sand, cement √ √ √ √
22
Estimates mass/weight by lifting and by comparing familiar
objects considering the shape, diameter, and height of
other containers to determine if the seller gives the right
amount of materials for the money paid
LS2CP/NS-NS-PSD-
BL/LE/AE/LS/AS-22
√ √ √ √ √
22.1
Explains the meaning of mass/weight and its practical
application
LS2CP/NS-NS-PSD-
BL/LE/AE/LS/AS-
22.1
√ √ √ √ √
22.2
Uses appropriate units of measurement of weight, e.g.,
grams (gm), kilograms (kg), tons (t), pounds (lbs.), ounces
(oz.)
M2ME-IVe-31
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-22.2
√ √ √ √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
22.3
Converts smaller units of weight/mass to bigger units and
viceversa, e.g., grams to kilograms, kilograms to tons
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-22.3
√ √ √ √
22.4
Converts standard units of weight/mass from the English to
the metric system and viceversa, e.g.:
M7ME-IIb-1
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-22.4
√ √ √ √
* pounds to kilograms when measuring weight of persons
* ounces/pounds to grams/kilograms when buying fish,
flour, sugar, rice
22.5
Compares weights using standard and indigenous
measures; e.g., 1cavan of rice equivalent to 50 kilos is also
equal to 20 gantas
LS2CP/NS-NS-PSD-
BL/LE/AE/LS/AS-
22.5
√ √ √ √ √
23
Solves everyday problems using knowledge and skills on
weight/mass, e.g.,:
LS2CP/NS-NS-PSD-
BL/LE/AE/LS/AS-23
√ √ √ √ √
* harvest of rice, vegetables, fruits, etc.
* market price of farm products (e.g., poultry, pigs, beef)
based on weight, e.g., price per kilogram
* sugar or rice consumption per person per day, per week
or month
* feed consumed per day by animals on a farm or in a
poultry
* cost of purchases of meat, vegetables, fish, and other
food items, given the unit cost
* savings made by buying food items in bulk
* amount of ingredients needed for food preparation for a
family gathering or community affair
* amount of sand, cement, and gravel needed for
construction
24
Demonstrates an understanding of the concepts of
temperature and pressure
LS2CP/NS-NS-PSD-
BL/LE/AE/LS/AS-24
√ √ √ √ √
24.1
Interprets temperature in daily life activities, e.g., boiling
water, ice water, weather, by using appropriate
measuring devices such as a thermometer
LS2CP/NS-NS-PSD-
BL/LE/AE/LS/AS-
24.1
√ √ √ √ √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
24.2
Applies knowledge of temperature in solving everyday
problems, e.g.:
LS2CP/NS-NS-PSD-
BL/LE/AE/LS/AS-
24.2
√ √ √ √ √
* monitoring the fever of a family member √ √ √ √ √
* planting crops appropriate for climate conditions √ √ √ √ √
* food preparation e.g., baking (cakes and bread) or
canning of nata de coco
√ √ √ √
24.3
Monitors and controls the temperature of everyday
technologies such as:
LS2CP/NS-NS-PSD-
BL/LE/AE/LS/AS-
24.3
√ √ √ √ √
* room air conditioner and refrigerator
* oven (baking)
24.4
Reads, records, and interprets body temperature using a
thermometer
LS2CP/NS-NS-PSD-
BL/LE/AE/LS/AS-
24.4
√ √ √ √ √
24.5
Converts standard unit of temperature from Fahrenheit to
Celsius and vice versa
LS2CP/NS-NS-PSD-
BL/LE/AE/LS/AS-
24.5
√ √ √ √
25
Demonstrates skills in measuring water and electricity
consumption
LS2CP/NS-NS-PSD-
BL/LE/AE/LS/AS-25
√ √ √ √ √
25.1
Reads, records, and interprets measures of consumption of
water and electricity
LS2CP/NS-NS-PSD-
BL/LE/AE/LS/AS-
25.1
√ √ √ √ √
* Relates water consumption with activities/practices that
save water
√ √ √ √ √
*Recognizes the units of measure in reading and estimating
water and electricity consumption (cubic meter and
kilowatt-hour).
√ √ √ √ √
25.2
Relates electricity consumption with length of time,
frequency of use of electric appliances, and wattage of the
appliances
LS2CP/NS-NS-PSD-
BL/LE/AE/LS/AS-
25.2
√ √ √ √ √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
25.3
Interprets the items on water and electricity billing
statements
LS2CP/NS-NS-PSD-
BL/LE/AE/LS/AS-
25.3
√ √ √ √ √
25.4
Computes for the cost of consumption of electricity and
water
LS2CP/NS-NS-PSD-
BL/LE/AE/LS/AS-
25.4
√ √ √ √ √
* Computes for the amount of water wasted and its cost if
a leaking faucet goes unrepaired
√ √ √ √ √
* Reads and interprets electric and water and electricity
consumption (optional for learners with no access to
electric/water meter)
√ √ √ √ √
26
Identifies ways to save/reduce water and electricity
consumption
LS2CP/NS-NS-PSD-
BL/LE/AE/LS/AS-26
√ √ √ √ √
27
Demonstrates knowledge and skill in understanding time
and the calendar
LS2CP/NS-NS-PSD-
BL/LE/AE/LS/AS-27
√ √ √ √ √
27.1
Tells and writes time by hour, half-hour, and quarter-hour
using analog clock
M1ME-IVb-3
LS2CP/NS-NS-PSD-
BL-27.1
√
27.2
Reads and records the time of the day by, e.g.:
LS2CP/NS-NS-PSD-
BL/LE/AE-27.2
√ √ √
* using a watch or clock √ √ √
* watching the position of the sun √ √ √
* estimating the length of the shadow cast by objects √ √ √
27.3
Converts time from smaller to larger units and vice
versa., e.g.:
LS2CP/NS-NS-PSD-
BL/LE/AE-27.3
√ √ √
* seconds to minutes/hours/minutes to hours √ √ √
* days to weeks/months/years; weeks to months √ √ √
27.4
Converts time from 12-hour units (a.m./p.m.) to 24-
hour (military) units
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-27.4
√ √ √ √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
27.5
Determines the time in another place in the world
given the time in the Philippines or vice versa (e.g.,
when overseas Filipino workers [OFWs] telephone
relatives in the Philippines or vice versa)
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-27.5
√ √ √ √
27.6
Uses knowledge of time to solve simple problems
LS2CP/NS-NS-PSD-
BL/LE/AE/LS/AS-
27.6
√ √ √ √ √
· estimating the amount of time needed to undertake
certain tasks e.g., travel time before attending a program
or community activity
√ √ √
* counting intervals of time between dosages of medicines √ √ √
* calculating the cost of long-distance phone calls, and
cellphone calls (cost per minute)
√ √ √
27.7 Finds the elapsed time in minutes and seconds M4ME-IIIf-11
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-27.7
√ √ √ √
27.8 Estimates the duration of time in minutes M4ME-IIIf-12
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-27.8
√ √ √ √
27.9 Solves problems involving elapsed time M4ME-IIIg-13
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-27.9
√ √ √ √
28
Reads/interprets time-related charts and tables; e.g.:
LS2CP/NS-NS-PSD-
BL/LE/AE-28
√ √ √
* provincial bus, ferry, and airline timetables and tickets √ √ √
* tide charts for fishing and boating purposes, time chart
for sunset and sunrise, etc.
√ √ √
29
Relates time to distance, e.g.:
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-29
√ √ √ √
*estimate the distance for time taken (walking, driving,
jogging)
√ √ √ √
*project the number of trips a jeepney/taxi driver needs to
earn enough for the boundary fee plus income for the day
√ √ √ √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
30
Relates time to volume of work, e.g.:
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-30
V √ √ √
*estimate how long it takes to finish a task (e.g., plowing a
field) for purposes of hiring laborers.
√ √ √ √
* estimate fuel cost per hour and per hectare of use of
farm machinery
√ √ √ √
* estimate time needed to irrigate a field of given area √ √ √ √
31
Relates time to speed, e.g.:
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-31
√ √ √ √
* calculating the time and speed of runners/swimmers in a
track and field/swimming competition
√ √ √ √
* calculating the time and speed of a fishing boat to reach
the next island town
√ √ √ √
* estimating the time of arrival at one’s destination when
traveling by bus/pump boat
√ √ √ √
32 Solves problems involving average rate and speed M6ME-IIIg-18
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-32
√ √ √ √
33
Uses a calendar to determine days, weeks, months, and
years (including number of days in a week, weeks in a
month, months in a year, weeks in a year, days in a year,
years in a decade/century, etc.)
M1ME-IVa-2 LS2CP/NS-NS-PSD-
LE/AE/LS/AS-33
√ √ √ √
33.1
Reads and computes dates in calendars (birthdays,
anniversaries, holidays, historical events, Before
Christian Era [BCE]/Christian Era [CE].
LS2CP/NS-NS-PSD-
BL/LE/AE-33.1
√ √ √
33.2
Uses knowledge of the calendar in solving problems,
e.g.:
LS2CP/NS-NS-PSD-
BL/LE/AE/LS/AS-
33.2
√ √ √ √ √
*uses the calendar for keeping appointments √ √ √
*tells the time of the year when typhoons occur, planting
and harvest season, and the wet and dry seasons
√ √ √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
* computes for ages and age differences of family
members in years and in months
√ √ √
*estimates the number of days prior to special events for
planning purposes—birthdays, anniversaries, Christmas,
fiestas, and other special holidays
√ √ √
*determines the fertile period of a wife infamily planning/
childbirth spacing
√ √ √
*prepares a schedule to monitor the progress of an
assignment, task, or job to be done, e.g., planting/
harvesting schedule, implementation plan of a project,
travel itinerary, work schedule, program of activities in a
wedding ceremony, opening program, etc.
√ √ √ √
34
Uses estimation skills in working with quantities,
measurements, computations, and problems solving in
everyday life
LS2CP/NS-NS-PSD-
BL/LS/AS-34
√ √ √
34.1 Determines when an estimate is appropriate
LS2CP/NS-NS-PSD-
BL-34.1
√
34.2 Determines an estimate’slevel of accuracy
LS2CP/NS-NS-PSD-
BL/LE/AE-34.2
√ √ √
34.3
Applies estimation when working with quantities,
measurement, and computation, e.g.:
LS2CP/NS-NS-PSD-
BL/LE/AE/LS/AS-
34.3
√ √ √ √ √
*estimate the cost of items to be purchased at the grocery
store before paying atthe cashier
√ √ √
*estimate the number of people who will attend a public
meeting to plan for the purchase of snacks/drinks
√ √ √
*estimate the weight and number of fish in a fishing boat’s
daily catch
√ √ √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
*estimate the number of pieces or volume of items stored
in various locally used containers, e.g., candies/soap
bars/small fish in a jar/sticks in a bundle
√ √ √
34.4
Uses estimation to check the reasonableness of the results
of computations
LS2CP/NS-NS-PSD-
BL/LE/AE-34.4
√ √ √
35
Derives the formula for the volume of rectangular
prisms
M4ME-IVe-63
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-35
√ √ √ √
35.1
volume of rectangular prism
M4ME-IVf-66
LS2CP/NS-NS-PSD-
LE/AE/LS/AS-35.1
√ √ √ V

June 2017
Performance Standard E: Demonstrate knowledge and skills in patterns and algebra (linear equations and inequalities in one and two variables, linear functions,
systems of linear equations, and inequalities in two variables; exponents and radicals, quadratic equations; inequalities; functions; and polynomials and polynomial
equations and functions).
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
1 Defines exponents and other related terms
LS2CP/NS-NS-PSE-
AE/LS-1
√ √
1.1 States and apply the laws of exponents M7AL-IId-e-1
LS2CP/NS-NS-PSE-
LS/AS-1.1
V V
1.2
Solves problems involving zero and negative integral
exponents
LS2CP/NS-NS-PSE-
LS/AS-1.2
√ √
1.3
Describes the exponent and the base in a number
expressed in exponential notation
M6NS-IIf-146
LS2CP/NS-NS-PSE-
AE/LS-1.3
√ √
1.4
Gives the value of numbers expressed in exponential
notation
M6NS-IIf-147
LS2CP/NS-NS-PSE-
AE/LS/AS-1.4
√ √ √
1.5
Interprets and explains the Grouping, Exponent,
Multiplication, Division, Addition, Subtraction (GEMDAS)
rule
M6NS-IIf-148
LS2CP/NS-NS-PSE-
AE/LS-1.5
√ √
1.6
Identify the laws of exponents inreal-life situations
LS2CP/NS-NS-PSE-
LS/AS-1.6
√ √
*the growth of bacteria in a community is inexponential
form
√ √
*the interest of investment in a bank is inexponential form √ √
*the computation of loan interest is inexponential form √ √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
2
Formulates the rule in finding the nth term using different
strategies (looking for a pattern, guessing and checking,
working backward) e.g., 4,7,13,16,…n (the nth term is
3n+1)
M6AL-IIId-7
LS2CP/NS-NS-PSE-
AE/LS/AS-2
√ √ √
3 Defines algebraic expressions and other related terms
LS2CP/NS-NS-PSE-
AE/LS/AS-3
√ √ √
3.1 Differentiates expression from equation. M6AL-IIId-15
M6AL-IIId-15
M7AL-IIh-1
LS2CP/NS-NS-PSE-
AE/LS/AS-3.1
√ √ √
3.2
Translates real-life verbal expressions into letters or
symbols and viceversa
M6AL-IIIe-16
LS2CP/NS-NS-PSE-
AE/LS/AS-3.2
√ √ √
3.3 Defines a variable in an algebraic expression and equation M6AL-IIIe-17
LS2CP/NS-NS-PSE-
AE/LS/AS-3.3
√ √ √
4
Represents quantities in real-life situations using algebraic
expressions and equations
M6AL-IIIe-18
LS2CP/NS-NS-PSE-
AE/LS/AS-4
√ √ √
5
Solves routine and nonroutine problems involving different
types of numerical expressions and equations such as 7+9
=+ 6
M6AL-IIIf-19
LS2CP/NS-NS-PSE-
LE/AE/LS/AS-5
√ √ V √
6
Creates routine and nonroutine problems involving
numerical expressions and equations
M6AL-IIIf-20
LS2CP/NS-NS-PSE-
AE/LS/AS-6
√ √ √
7 Defines polynomials
LS2CP/NS-NS-PSE-
LS/AS-7
√ √
7.1 Interprets the meaning of anywhere n is a positive integer M7AL-IIc-2
LS2CP/NS-NS-PSE-
LS/AS-7.1
√ √
7.2
Differentiates between constants and variables in a given
algebraic expression
M7AL-IIc-3
LS2CP/NS-NS-PSE-
LS/AS-7.2
√ √
7.3
Evaluates algebraic expressions for given values of the
variables
M7AL-IIc-4
LS2CP/NS-NS-PSE-
LS/AS-7.3
√ √
7.4
Classifies algebraic expressions which are polynomials
according to degree and number of terms
M7AL-IId-1
LS2CP/NS-NS-PSE-
LS/AS-7.4
√ √
8 Multiplies polynomials using special products M7AL-lle-g-1
LS2CP/NS-NS-PSE-
LS/AS-8
√ √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
9 Finds the prime factors of an integer
LS2CP/NS-NS-PSE-
LS/AS-9
√
10
Finds the greatest common factor (GCF) of a set of
monomials
LS2CP/NS-NS-PSE-
LS-10
√
11
Factors polynomials using the various methods of factoring
(polynomials with common monomial factor, difference of
two squares, sum and difference of two cubes, perfect
square trinomials, and general trinomials)
M8AL-Ia-b-1
LS2CP/NS-NS-PSE-
LS/AS-11
√ √
12 Performs operations on polynomials
M7AL-IId-2
M7AL-IIe-2
LS2CP/NS-NS-PSE-
LS/AS-12
√ √
13 Illustrates rational algebraic expression M8AL-Ic-1
LS2CP/NS-NS-PSE-
LS-13
√
13.1 Simplify rational algebraic expressions M8AL-Ic-2
LS2CP/NS-NS-PSE-
LS-13.1
√
13.2 Simplifies complex rational algebraic expressions
LS2CP/NS-NS-PSE-
LS-13.2
√
13.3 Multiplies rational algebraic expressions M8AL-Ic-d-1
LS2CP/NS-NS-PSE-
LS-13.3
√
13.4 Divides the rational algebraic expressions M8AL-Ic-d-1
LS2CP/NS-NS-PSE-
LS-13.4
√
13.5
Finds the LCD of rational algebraic expressions (both with
the same and different denominators)
LS2CP/NS-NS-PSE-
LS-13.5
√
13.6
Converts a given rational expression into an equivalent
rational expression
LS2CP/NS-NS-PSE-
LS-13.6
√
13.7
Performs addition of rational algebraic expressions (both
with the same and different denominators)
M8AL-Ic-d-1
LS2CP/NS-NS-PSE-
LS-13.7
√
13.8
Performssubtraction of rational algebraic expressions (both
with the same and different denominators)
M8AL-Ic-d-1
LS2CP/NS-NS-PSE-
LS-13.8
√
14
Represents real-life situations using rational algebraic
expressions
LS2CP/NS-NS-PSE-
LS/AS-14
√ √
*amount of work done per unit
LS2CP/NS-NS-PSE-
LS/AS-15
√ √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
*distance travel per unit √ √
*speed per unit √ √
15
Performs operations on rational algebraic expressions that
involve 2 or more operations
LS2CP/NS-NS-PSE-
LS/AS-15
√ √
16 Illustrates the rectangular coordinate system and its uses M8AL-IE-1
LS2CP/NS-NS-PSE-
LS-16
√
17 Defines linear equations
LS2CP/NS-NS-PSE-
LS-17
√
17.1 Simplifies linear equations
LS2CP/NS-NS-PSE-
LS/AS-17.1
√ √
18
Writes the linear equation ax + by = c in the form y = mx
+ b and vice-versa; x+y=3 transform into y=-x+3
M8AL-If-1
LS2CP/NS-NS-PSE-
LS/AS-18
V V
18.1 Finds the slope of linear equations M8AL-IE-5
LS2CP/NS-NS-PSE-
LS/AS-18.1
√ √
18.2
Finds the intercepts of linear equations both x and y-
intercepts
LS2CP/NS-NS-PSE-
LS/AS-18.2
√ √
19 Graphs different types of linear equations M8AL-If-2
LS2CP/NS-NS-PSE-
LS/AS-19
√ √
19.1
Describes the slope and intercepts of linear equation based
on the graph
M8AL-If-3
LS2CP/NS-NS-PSE-
LS/AS-19.1
√ √
20
Solves systems of linear equations using different methods:
elimination & substitution
M8AL-Ii-j-1
LS2CP/NS-NS-PSE-
LS/AS-20
√ √
20.1
Determines whether the systems of linear equations in two
variables are consistent or inconsistent, dependent or
independent
LS2CP/NS-NS-PSE-
LS/AS-20.1
√ √
20.2
Describes systems of linear equations as to whether its
graph is parallel, coinciding, or intersecting using formula
M8AL-Ih-3
LS2CP/NS-NS-PSE-
LS/AS-20.2
√ √
21 Solves word problems involving linear equations
M7AL-IIj-2
M8AL-Ig-2
LS2CP/NS-NS-PSE-
LS/AS-21
√ √
22
Defines quadratic equations and other related terms and its
properties
LS2CP/NS-NS-PSE-
AS-22
V

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
22.1 Illustrates quadratic equations M9AL-Ia-1
LS2CP/NS-NS-PSE-
AS-22.1
V
22.2 Writes a quadratic equations in standard form
LS2CP/NS-NS-PSE-
AS-22.2
V
22.3
Solves quadratic equations using different methods:
quadratic formula, factorization, completing the square
M9AL-Ia-b-1
LS2CP/NS-NS-PSE-
AS-22.3
√
23 Illustrates quadratic functions
LS2CP/NS-NS-PSE-
AS-23
√
23.1
Differentiate quadratic function from quadratic equation
LS2CP/NS-NS-PSE-
AS-23.1
√
*human relationships: mother and daughter, husband and
wife, teacher and students
√
*coordinates of points √
*graphs of different equations √
23.2
Sketches the graph of a quadratic function using different
methods
M9AL-Ig-h-i-1
LS2CP/NS-NS-PSE-
AS-23.2
√
23.3
Describes the graph of quadratic function in terms of
intercepts, axis of symmetry, and vertex
M9AL-Ig-h-i-1
LS2CP/NS-NS-PSE-
AS-23.3
√
24
Finds the discriminant of quadratic function then describes
its roots and graph
M9AL-Ig-h-i-1
LS2CP/NS-NS-PSE-
AS-24
√
25
Finds the maximum or minimum value of quadratic
function:
LS2CP/NS-NS-PSE-
AS-25
√
* maximum income √
*minimum sales require to breakeven √
26 Illustrates polynomial functions M10AL-IIa-1
LS2CP/NS-NS-PSE-
AS-26
√
26.1 Identifies the key concepts of polynomial functions
LS2CP/NS-NS-PSE-
AS-26.1
√
26.2 Evaluates functions
LS2CP/NS-NS-PSE-
AS-26.2
√

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
26.3 Performs operations on functions
LS2CP/NS-NS-PSE-
AS-26.3
√
26.4 Graphs polynomial functions M10AL-IIa-b-1
LS2CP/NS-NS-PSE-
AS-26.4
√
26.5 Applies remainder theorem and factor theorem M10AL-Ig-2
LS2CP/NS-NS-PSE-
AS-26.5
√
27 Defines inequality and other related terms
LS2CP/NS-NS-PSE-
LS/AS-27
√ √
27.1 Sketches inequalities(linear and quadratic inequalities)
LS2CP/NS-NS-PSE-
LS/AS-27.1
√ √
27.2 Solves the inequalities by graphing M10AL-Iia-b-1
LS2CP/NS-NS-PSE-
LS/AS-27.2
√ √
27.3
Solves systems of inequalities (both 1st- and 2nd-degree
equations)
M8AL-IIb-1
LS2CP/NS-NS-PSE-
LS/AS-27.3
√ √
28
Solves word problems involving inequalities
M8AL-IIa-4
M9AL-IIa-2
LS2CP/NS-NS-PSE-
LS/AS-28
√ √
*determine the value of production that will give profit/loss √ √
*determine the number of supply and demand that will
give profit or loss
√ √
29 Defines variations and types of variations
LS2CP/NS-NS-PSE-
AS-29
√
29.1
Illustrates situations that involve the following variations:
(a) direct, (b) inverse, (c) joint, (d) combined
M9AL-IIa-1
LS2CP/NS-NS-PSE-
AS-29.1
√
* number of workers and time to finish the job (inverse
variation)
√
* speed of the car and distance traveled (direct variation) √
30 Applications of different variations in real-life situation
LS2CP/NS-NS-PSE-
AS-30
√
31 Illustrates an arithmetic sequence M10AL-Ib-1
LS2CP/NS-NS-PSE-
AS-31
√

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
31.1 Identifiessequence (whether arithmetic or not) M9AL-IIa-1
LS2CP/NS-NS-PSE-
AS-31.1
√
31.2 Determines the general equation of arithmetic sequence
LS2CP/NS-NS-PSE-
AS-31.2
√
31.3 Finds the unknown term/s of arithmetic sequence M10AL-Ib-c-1
LS2CP/NS-NS-PSE-
AS-31.3
√
31.4
Finds the arithmetic series and other related unknown
values
LS2CP/NS-NS-PSE-
AS-31.4
√
31.5 Finds the arithmetic mean/s M10AL-Ib-c-1
LS2CP/NS-NS-PSE-
AS-31.5
√
32 Illustrates a geometric sequence M10AL-Id-1
LS2CP/NS-NS-PSE-
AS-32
√
32.1 Identifies sequence (whether geometric or not)
M10AL-Id-1
M10AL-Id-2
LS2CP/NS-NS-PSE-
AS-32.1
√
32.2 Determines the general equation of geometric sequence
LS2CP/NS-NS-PSE-
AS-32.2
√
32.3 Finds the unknown terms of geomteric sequence M10AL-Ie-1
LS2CP/NS-NS-PSE-
AS-32.3
√
32.4 Finds the geometric series and other unknown values
LS2CP/NS-NS-PSE-
AS-32.4
√
32.5 Finds the geometric means M10AL-Ie-1
LS2CP/NS-NS-PSE-
AS-32.5
√
33
Solves problems thatinvolve arithmetic and geometric
sequences/series
M10AL-If-2
LS2CP/NS-NS-PSE-
AS-33
√

June 2017
Performance Standard F:Demonstrate understanding and skill in the effective use of tables, graphs and statistics in presenting, analyzing and interpreting data, and
dealing with uncertainty; and making predictions about outcomes for everyday problem solving
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
1
Collects and records data, e.g.:
LS2CP/NS-NS-PSF-
BL/LE/AE/LS/AS-1
√ √ √ √ √
* total number of registered voters who actually voted in
the different barangays of a particular municipality
√ √ √ √ √
* total number of votes cast for individual candidates by
position in a barangay election (barangay captain and
councilors)
√ √ √ √ √
* total number of votes cast for individual candidates by
position in a local election (mayor and councilors)
√ √ √ √ √
1.1 Records data and systematically arrangesthesein a table
LS2CP/NS-NS-PSF-
BL/LE/AE/LS/AS-1.1
√ √ √ √ √
1.2
Tallies the frequency of occurrence, e.g., votes counted in
a barangay election for candidates
LS2CP/NS-NS-PSF-
BL/LE/AE/LS/AS-1.2
√ √ √ √ √
1.3
Organizes information collected in a frequency distribution
table
M7SP-IVc-1
LS2CP/NS-NS-PSF-
BL/LE/AE/LS/AS-1.3
√ √ √ √ √
2
Describes the different kinds of graphs used to organize
and present data in real life situations, e.g.:.
LS2CP/NS-NS-PSF-
BL/LE/AE/LS/AS-2
√ √ √ √ √
* pictograph, e.g., annual harvest production rates, daily
egg production, harvest expenses, farmers planting
different crops
√ √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
* bar graphs, e.g., survey results (political poll results,
market research results, community needs assessment
results), comparison of yields of rice in different fields, daily
sales records, etc.
√ √ √ √
* line graphs, e.g., monthly consumption of electricity
indicated on an electric bill, peso-dollar fluctuations, dollar
exchange rate, population growth rate
√ √ √ √
* circle/pie graphs, e.g., distribution of labor force in
different economic sectors, percentage of monthly family
budget allocated/spent on certain items (food, clothing,
housing, transport, expenses on education, etc.)
√ √ √
2.1
Identifies the parts of a pictograph, bar graph, and line
graph, i.e., title, legend, labels, and vertical and horizontal
axes
LS2CP/NS-NS-PSF-
LE/AE-2.1
√ √
2.2 Interprets the legend in a graph
LS2CP/NS-NS-PSF-
LE/AE/LS-2.2
√ √ √
3 Translates data into graphs or charts
LS2CP/NS-NS-PSF-
LE/AE/LS/AS-3
√ √ √ √
3.1
Constructs pictographs, bar graphs, line graphs, and
pie/circle graphs to organize, present, and analyze data
from everyday life situations showing, e.g.:
M7SP-IVd-e-1
LS2CP/NS-NS-PSF-
LE/AE/LS/AS-3.1
√ √ √ √
* daily egg production in poultry √ √ √ √
* daily/weekly sales of different sari-sari store items √ √ √ √
* annual harvests and yields of certain fields √ V √ √
* daily or weekly fuel consumption (kerosene, gasoline,
wood, or charcoal)
√ √ √ √
* body temperature of sick family members √ √ √ V
* growth rate of one's children √ √ V √
3.2 Reads/interprets data presented in a graph
LS2CP/NS-NS-PSF-
LE/AE/LS/AS-3.2
√ √ √ √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
4
Analyzes and draws conclusions from statistical data
presented in graphs and tables
M7SP-IVj-1
LS2CP/NS-NS-PSF-
LE/AE/LS/AS-4
√ √ √ √
4.1 Makes comparisons of data presented in a graph
LS2CP/NS-NS-PSF-
LE/AE/LS/AS-4.1
√ √ √ √
4.2
Draws inferences and conclusions based on analysis of data
presented in graphs and tables
LS2CP/NS-NS-PSF-
LE/AE/LS/AS-4.2
√ √ √ √
5
Solves routine and nonroutine problems using data
presented in a pictograph without and with scales
M1SP- Ivh-4.1;
M2SP-Ivi-4.2
LS2CP/NS-NS-PSF-
LE/AE/LS/AS-5
√ √ √ √
6 Defines mean, median, mode, and other related terms
LS2CP/NS-NS-PSF-
AE/LS/AS-6
√ √ √
6.1
Illustrates the different properties of measures of central
tendency
LS2CP/NS-NS-PSF-
AE/LS/AS-6.1
√ √ √
6.2
Illustrates the measures of central tendency (mean,
median, and mode) of a statistical data
M7SP-IVf-1
LS2CP/NS-NS-PSF-
AE/LS/AS-6.2
√ √ √
6.3
Calculates the measures of central tendency of ungrouped
and grouped data
M7SP-IVf-g-1
LS2CP/NS-NS-PSF-
AE/LS/AS-6.3
√ √ √
6.4
Uses mean, median, and mode and measures of variation
to analyze and interpret data to solve problems in daily life
M7SP-IVf-g-1
LS2CP/NS-NS-PSF-
AE/LS/AS-6.4
√ √ √
7
Illustrates the measures of variability (range, average
deviation, variance, standard deviation) of statistical data
M7SP-IVh-1
LS2CP/NS-NS-PSF-
AE/LS/AS-7
√ √ √
7.1
Calculates the measures of variability of grouped and
ungrouped data
M7SP-IVh-i-1
LS2CP/NS-NS-PSF-
AE/LS/AS-7.1
√ √ √
8
Draws conclusions from graphic and tabular data using
measures of central tendency and variability
M7SP-IVj-2
LS2CP/NS-NS-PSF-
AE/LS/AS-8
√ V √
9
Poses problems that can be solved using Statistics
(measures of central tendency and variability)
M7SP-IVa-2
LS2CP/NS-NS-PSF-
AE/LS/AS-9
√ V √
10
Illustrates the following measures of position: quartiles,
deciles, and percentile
M10SP-IVa-1
LS2CP/NS-NS-PSF-
AE/LS/AS-10
√ V V
10.1
Calculates a specified measure of position (e.g.,
90thpercentile) of a set of data
M10SP-IVb-1
LS2CP/NS-NS-PSF-
AE/LS/AS-10.1
√ √ V

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
10.2 Solves problems involving measures of position M10SP-IVd-e-1
LS2CP/NS-NS-PSF-
AE/LS/AS-10.2
√ √ √
10.3 Interprets measures of position M10SP-IVc-1
LS2CP/NS-NS-PSF-
AE/LS/AS-10.3
√ √ √
11
Uses appropriate measures of position and other statistical
methods in analyzing and interpreting research data
M10SP-IVh-j-1
LS2CP/NS-NS-PSF-
AE/LS/AS-11
√ √ √
12 Distinguishes between a sample and a population
LS2CP/NS-NS-PSF-
AE/LS/AS-12
√ √ V
12.1 Determines the use of sampling
LS2CP/NS-NS-PSF-
AE/LS/AS-12.1
√ √ √
13
Describes and differentiates the types of sampling
techniques
LS2CP/NS-NS-PSF-
LS/AS-13
√ √
14
Identifies the appropriate sample size using Slovins
Formula and other techniques
LS2CP/NS-NS-PSF-
LS/AS-14
√ √
15
Differentiates parameters and statistics, and
theirrelationship
LS2CP/NS-NS-PSF-
LS/AS-15
√ √
16 Formulates simple statistical instruments M7SP-IVa-3
LS2CP/NS-NS-PSF-
LS/AS-16
√ √
17 Conducts a simple survey
LS2CP/NS-NS-PSF-
LS/AS-17
√ √
18
Describes the meaning of probability such as ―50% chance
of rain‖ and ―one in a million chance of winning‖
M6SP-IVg-19
LS2CP/NS-NS-PSF-
AE/LS/AS-18
√ √ √
*the meaning of daily weather news √ √ √
*the chance of winning or losing in any local game √ √ √
19 States and applies the fundamental principle of counting
LS2CP/NS-NS-PSF-
AE/LS/AS-19
√ √ √
20 Differentiates permutation from combination
LS2CP/NS-NS-PSF-
AE/LS/AS-20
√ √ √
21
Applies the concepts of permutation and combination to
real-life situations
LS2CP/NS-NS-PSF-
AE/LS/AS-21
√ √ √

June 2017
Code
BL
K-1
EL SL
K to 12 ALS
LE
(Gr.2–3)
AE
(Gr.4–6)
JUNIOR
HIGH
SCHOOL
SENIOR
HIGH
SCHOOL
22 Describes experimental probability M5SP-IVi-14
LS2CP/NS-NS-PSF-
AE/LS/AS-22
√ √ √
22.1
Performs an experimental probability and records result by
listing
M5SP-IVi-15
LS2CP/NS-NS-PSF-
LS/AS-22.1
√ √
22.2
Records favourable outcomes in a simple experiment (e.g.,
tossing a coin, spinning a wheel, etc.)
M4SP-IVi-9
LS2CP/NS-NS-PSF-
AE/LS/AS-22.2
√ √ √
22.3
Expresses the outcome in a simple experiment in words,
symbols, tables, or graphs
M4SP-IVi-10
LS2CP/NS-NS-PSF-
AE/LS/AS-22.3
√ √ √
23 Explains the outcomes in an experiment M4SP-IVi-11
LS2CP/NS-NS-PSF-
AE/LS/AS-23
√ √ √
24
Discusses and illustrates the probability of simple and
compound events
LS2CP/NS-NS-PSF-
AE/LS/AS-24
√ √ √
25
Analyzes data obtained from chance using experiments
involving letter cards (A–Z) and number cards (0–20).
M5SP-IVi-16
LS2CP/NS-NS-PSF-
AE/LS/AS-25
√ √ √
26
Solves routine and nonroutine problems involving
experimental and theoretical probability
M5SP-IVj-17
LS2CP/NS-NS-PSF-
AE/LS/AS-26
√ √ √
26.1
Creates routine and nonroutine problems involving
experimental and theoretical probability
M5SP-IVj-18
LS2CP/NS-NS-PSF-
AE/LS/AS-26.1
√ √ √
27 States and applies the laws of probability in everyday life
LS2CP/NS-NS-PSF-
AE/LS/AS-27
√ √ √
27.1 Calculates probabilities in real-life situations
LS2CP/NS-NS-PSF-
LS/AS-27.1
√ √
28
Solves routine and no-routine problems involving a simple
experiment
M4SP-IVj-12
LS2CP/NS-NS-PSF-
AE/LS/AS-28
√ √ √
29
Makes simple predictions of events based on the results of
experiments
LS2CP/NS-NS-PSF-
AE/LS/AS-29
√ √ √
30 Formulates a mini-research M10SP-IVf-g-1
LS2CP/NS-NS-PSF-
AS-30
√

June 2017
CODE LEGEND
Learning Strand Code
Learning Strand 1 Communication Skills LS1CS
Learning Strand 2 Scientific Literacy and Critical Thinking Skills LS2SC
Learning Strand 3 Mathematical and Problem Solving Skills LS3MP
Learning Strand 4 Life and Career skills LS4LC
Learning Strand 5 Understanding the Self and Society LS5US
Learning Strand 6 Digital Literacy LS6DL
ALS Level Code
Basic Literacy BL Filipino
Elementary Level (Lower) LE Antas Elementarya (Mababa) AEMB
Elementary Level (Advanced) AE Antas Elementarya (Mataas) AEMT
Secondary Level (Lower) LS Junior High School ASMB
Secondary Level (Advanced) AS Senior High School ASMT

June 2017
LEARNING STRAND 3: MATHEMATICAL AND PROBLEM SOLVING SKILLS
Sample: LS3MP-NS-PSF-LE/AE/LS/AS-2
LEGEND SAMPLE
First Entry Learning Strand and Skills
Learning Strand 3 Mathematical and Problem Solving
Skills
LS3MP
Uppercase Letter/s
Content Standard Numeracy Skills NS
Performance Standard Performance Standard PSF
Level
Basic Literacy/
Elementary Level (Lower)/
Elementary Level (Advanced)/
Junior High School/
Senior High School
LE/AE/LS/AS
Arabic Number Learning Competency Learning Competency 2
Content Standard Code
Numeracy Skills NS

LS-3-Mathematical-and-Problem-Solving-Skills.pdf

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