Uploaded by Edmond Bajado

curr. map math 7 - 10

advertisement
Mater Divinae Gratiae College
Picardo Airport, Dolores Eastern Samar
SY 2022-2023
CURRICULUM MAP IN MATHEMATICS 7
SUBJECT: MATHEMATICS
GRADE LEVEL: 7
QUARTER: FIRST QUARTER
Quarter/
Month
UNIT TOPIC:
CONTENT
CONTENT
STANDARD
PERFORMANC
E STANDARD
QUARTER
I
NUMBERS AND
BNUMBERS SENSE
Demonstrates
understanding
of key
concepts of
sets and real
number
system.
Is able to
formulate
challenging
situations
involving sets and
real numbers and
solve these in a
variety of
strategies.
LEARNING
COMPETENCIES
(AMT LEARNING
GOALS)
ASSESSMENT
ACTIVITIES
RESOURCES
INSTITUTIONAL
CORE VALUES
OFFLINE
ONLINE
ACQUISITION
illustrates the union
and intersection of
sets and the
difference of two
sets.
illustrates the
different properties
of operations on the
set of integers.
illustrates the
different subsets of
real numbers.
Venn Diagram
(graphs)
Think pair
and share
Worksheet
Amiable
Main concepts
map
Think pair
and share
Worksheet
Respect
Labelling
Picture
Analysis
Worksheet
Commitment
solves problem
involving real
numbers.
Solves problem
involving sets
A.4
Quiz (problem
solving)
Word problem
solving
Group
activity
Worksheet
Communication
Individual
activity (vein
diagram
Worksheet
Excellence
MEANING MAKING
describes well-define
sets , subsets,
universal sets, and
cardinality of sets.
Written
examination
(essay)
Pair activity
Worksheet
amiable
describes principal
roots and tells
whether they are
rational and irrational
determines between
what two integers the
square root of a
number is
Quiz
(identification)
Circle the
sage
Worksheet
Collaboration
skills
Problem
recognition task
Gallery walk
Worksheet
Excellence
uses vein diagram to
represents sets,
subsets, and set
operation.
represents absolute
value of a number
line is a distance of a
number from 0.
performs
fundamental
operations on
integers
expresses rational
numbers from
fraction form to
decimal form and
vice versa.
arranges rational
numbers on a
number line.
Word problem
solving using
vein diagram
Group
activity(vein
diagram)
Worksheet
Nurturing skills
graph
Table
Pair activity
(board work)
Worksheet
Pro-active
Quiz (solving)
Group
activity
Worksheet
Excellence
Graph (number
line)
Individual
activity
Worksheet
Reflection skills
Quiz
Buzz group
Worksheet
Reflection skills
TRANSFER
performs operations
on rational numbers
plot irrational
numbers on a
number line
arranges real
numbers in
increasing order or
decreasing order
Writes numbers in
scientific notation
and vice versa
represents real-life
situations which
involve real
numbers
Prepared by: Edmond A. Bajado
Math Teacher
Worksheets
(math drill)
Graph
Scramble
words
Think-pair
and share
Worksheet
respect
Worksheet
Commitment
Graph
Classroom
voting
Worksheet
Amiable
Quiz (matching
type)
Individual
activity
Worksheets
Goal oriented
Application
cards
Think-pair
and share
Worksheets
Faith
Checked by: Ms. Mineva M. Dulfo
Elem/HS Coordinator
Mater Divinae Gratiae College
Picardo Airport, Dolores Eastern Samar
SY 2022-2023
CURRICULUM MAP IN MATHEMATICS 7
SUBJECT: MATHEMATICS
GRADE LEVEL: 7
QUARTER: SECOND QUARTER
Quarter/
Month
UNIT TOPIC:
CONTENT
CONTENT
STANDARD
PERFORMANC
E STANDARD
QUARTER
II
MEASUEEMENTS
AND PATTERNS
AND ALGEBRA
1.Demonstrate
understanding
of the key
concepts of
measurements
2. Is able to
formulate real-life
problems
involving
measurements
and solve these
using a variety of
strategies.
2.
Demonstrate
understanding
of key
concepts of
algebraic
expressions,
the properties
of real
numbers as
applied in
linear
equation, and
inequalities in
2. is able to
model situations
using oral,
written, graphical,
and algebraic
methods in
solving problems
involving
algebraic
expressions,
linear equations,
LEARNING
COMPETENCIES
(AMT LEARNING
GOALS)
ASSESSMENT
ACTIVITIES
RESOURCES
INSTITUTIONAL
CORE VALUES
OFFLINE
ONLINE
ACQUISITION
Illustrate what means
to measure.
solves problems
involving conversion
of units of
measurements.
adds and subtract
polynomials.
derives the law of
exponent
multiplies and
divides polynomials
solves problems
Math factors
organizer
(graphic
organizer)
Quiz (problem
solving)
Buzz session
Worksheet
Ask the
winner(group
activity)
Worksheet
Documented
problem
solution
Quiz (solving)
Show and tell
(pair activity)
Worksheet
Trust skill
Bird Box
(group
activity)
Show and tell
(pair activity)
Worksheet
Commitment
Worksheet
Excellence
Seatwork
Worksheet
Humility
documented
problem
solution
Quiz (problem
Respect
Goal oriented
one variable.
and inequalities
in one variable.
involving algebraic
expressions
illustrates linear
equation and
inequality in one
variable
finds the solution of
linear equation or
inequality in one
variable.
solves problems
involving equations
and inequalities in
one variable
solving)
describes the
development of
measurement from
primitive to present
international system
of units.
differentiate between
constants and
variables in a given
algebraic expressions
Differentiate
between algebraic
expressions and
equation
differentiate between
equation and
inequalities
line graph (with
guided given)
Picture
analysis
Worksheet
Commitment
problem solving
(with line
graph)
Documentatio
n activity
(group act.)
Worksheet
Commitment
Long quiz
(problem
solving)
Brain
storming
Worksheet
Service
Written
examination
(essay)
Think pair
and share
Worksheet
Integrity
Graph(use
hierarchy
diagram to
differentiate0
Written exam
(statements
form)
Group activity
Worksheet
Respect
Group activity
Worksheet
engaged
Written exam
(essay to
differentiate
Group activity
MEANING MAKING
Engaged
TRANSFER
approximate the
measures of
quantities
particularly lengths,
weight, mas, volume,
time, angle and
temperature and rate.
converts
measurements from
one unit to another in
bot metric and
English systems.
translate English
phrases to
mathematical
phrases and vice
versa.
interprets the
meaning of “a”
where n is a positive
integer.
classifies algebraic
expressions which
are polynomials
according to degree
and number of terms.
translate English
sentences to
mathematical
sentences and vice
versa
Prepared by: Edmond A. Bajado
Math Teacher
Quiz (multiple
choice)
Brainstorming
by pair
Worksheet
Courage
Quiz (solving)
Group
activity(board
rotation
Worksheet
Amiable
Math drills
Think-pairshare
Worksheet
Service
Written exam
Group
activity(peer
review writing
task)
Circle the sage
Worksheet
Service
Worksheet
Amiable
brainstorming
Worksheet
Excellence
True or false
Complete the
table (with
guided
questions)
Checked by: Ms. Mineva M. Dulfo
Elem/HS Coordinator
Mater Divinae Gratiae College
Picardo Airport, Dolores Eastern Samar
SY 2022-2023
CURRICULUM MAP IN MATHEMATICS 7
SUBJECT: MATHEMATICS
GRADE LEVEL: 7
QUARTER: THIRD QUARTER
Quarter/
Month
UNIT TOPIC:
CONTENT
CONTENT
STANDARD
PERFORMANC
E STANDARD
QUARTER
III
Geometry
Demonstrates
understandin
g of key
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.
LEARNING
COMPETENCIES
(AMT LEARNING
GOALS)
ASSESSMENT
ACTIVITIES
RESOURCES
INSTITUTIONAL
CORE VALUES
OFFLINE
ONLINE
ACQUISITION
Brainstormin
g (by pair)
illustrates subsets
of a line
Math factors
organizer
(graphic
organizer)
illustrates
polygons: (a)
convexity; (b)
angles; and (c)
sides.
-illustrates a circle
and the terms
related to it: radius,
diameter chord,
center, arc, chord,
central angle, and
inscribed angle.
Quiz(
construct
figure)
Show and tell
(pair activity)
Worksheet
Pie chart
(illustrate
geometric
relationships)
Picture
analysis
Worksheet
Circle the
sage
Worksheet
Respect
Excellence
(Critical
thinker)
Commitment
solves problems
involving sides and
angles of a
polygon.
Quiz (solving)
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.
represents point,
line and plane
using concrete and
pictorial models.
derives
Essays (with
guide
questions)
Brainstormin
g
Worksheet
Amiable
(Goal oriented)
Worksheet
Excellence
(Critical
thinker)
Board
Rotation(Gro
up Activity)
MEANING MAKING
Group
activity
(Show and
Tell)
(Proactive)
Graphs (Line
Graph with
guided
questions)
Written Exam
Think-pairshare
Worksheet
Respect
Think-pair-
Worksheet
Service
relationships
among angles
formed by parallel
lines cut by a
transversal using
measurement and
by inductive
reasoning.
(Essay)
share
derives inductively
the relationship of
exterior and
interior angles of a
convex polygon.
Written
examination(E
ssay)
Think pair
classifies the
different kinds of
angles.
Look Around
(Word Hunt)
uses a compass and
straightedge to
bisect line
segments and
angles and
construct
perpendiculars and
parallels.
Application
cards
(construct
perpendicular
and parallels)
(Communicatio
n)
Buzz Session
Worksheet
Excellence
(Critical
thinker)
Pair Activity
Worksheet
Courage
Picture
Analysis
Worksheet
Amiable
TRANSFER
constructs
triangles, squares,
rectangles, regular
pentagons, and
regular hexagons.
Prepared by: Edmond A. Bajado
Math Teacher
Line
graph(plotting
to construct
different
shapes )
Yes/No Chart
(Individual
Activity)
Worksheet
Respect
(Unity in
diversity)
Checked by: Ms. Mineva M. Dulfo
Elem/HS Coordinator
Mater Divinae Gratiae College
Picardo Airport, Dolores Eastern Samar
SY 2022-2023
CURRICULUM MAP IN MATHEMATICS 7
SUBJECT: MATHEMATICS
GRADE LEVEL: 7
QUARTER: FOURTH QUARTER
Quarter/
Month
UNIT TOPIC:
CONTENT
CONTENT
STANDARD
PERFORMANC
E STANDARD
QUARTER
IV
Statistics and
Probability
Demonstrates
understandin
g of key
concepts,
uses and
importance
of Statistics,
data
collection/gat
hering and
the different
forms of data
representatio
n, measures
of central
tendency,
measures of
variability,
and
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.
LEARNING
COMPETENCIES
(AMT LEARNING
GOALS)
poses problems
that can be solved
using Statistics.
calculates the
measures of central
tendency of
ungrouped and
grouped data.
calculates the
measures of
variability of
grouped and
ungrouped data.
ASSESSMENT
ACTIVITIES
RESOURCES
INSTITUTIONAL
CORE VALUES
written exam
(Solution
problems)
Quiz(Problem
Solving)
Math Drills
(Solving)
OFFLINE
ONLINE
ACQUISITION
Thin-pairshare
Worksheet
Peer review
writing task
Worksheet
Board
Rotation(Gro
up
Worksheet
Peer review
writing task
Service
Excellence
(Critical
thinker)
Excellence
(Critical
thinker)
probability.
MEANING MAKING
formulates simple
statistical
instruments.
Quiz(Statemen
t form)
Buzz Session
Worksheet
Service
organizes data in a
frequency
distribution table.
illustrates the
measures of central
tendency (mean,
median, and mode)
of a statistical data.
illustrates the
measures of
variability (range,
average deviation,
variance, standard
deviation) of a
statistical data
gathers statistical
data.
Data Grid
(Frequency
distr. Table)
Quiz(Solving)
Think-pairshare
Worksheet
Respect
Pair Activity
Worksheet
Service
(Communicatio
n)
Quiz(solving)
Buzz Session
Research
Paper
Group
activity
(Brainstormi
ng)
Yes/No Chart
(Individual
Activity)
Worksheet
Respect
(Unity in
diversity)
Respect
(Unity in
diversity)
TRANSFER
explains the
importance of
Statistics.
Essay
Brainstorming
Worksheet
Courage
formulates simple
statistical
instruments.
uses appropriate
graphs to represent
organized data: pie
chart, bar graph,
line graph,
histogram, and
ogive.
Quiz
(Statement
form)
Graphs (Draw
graphs with
guided
questions)
Buzz Session
Worksheet
Amiable
Board work
(Individual)
Worksheet
Commitment
Prepared by: Edmond A. Bajado
Math Teacher
uses appropriate
statistical measures
in analyzing and
interpreting
statistical data.
Written Exam
( Solving and
Statement
form)
Think-pairand-share
Worksheet
Service
(Communicatio
n)
draws conclusions
from graphic and
tabular data and
measures of central
tendency and
variability.
Written Exam
(Statement
form)
Exit Slips
(Pair
Activity)
Worksheet
Service
(Communicatio
n)
Checked by: Ms. Mineva M. Dulfo
Elem/HS Coordinator
Mater Divinae Gratiae College
Picardo Airport, Dolores Eastern Samar
SY 2022-2023
CURRICULUM MAP IN MATHEMATICS 8
SUBJECT: MATHEMATICS
GRADE LEVEL: 8
QUARTER: FIRST QUARTER
Quarter/
Month
UNIT TOPIC:
CONTENT
CONTENT
STANDARD
PERFORMANC
E STANDARD
QUARTER I
PATTERN AND
ALGEBRA
Demonstrates
understanding
of key
concepts of
factors of
polynomials,
rational
algebraic
expressions,
linear
equations and
inequalities in
two variables,
system of
linear equation
and
inequalities in
two variables
and linear
functions.
Is able to
formulate real-life
problems
involving factors
of polynomials,
rational algebraic
expressions,
linear equations
and inequalities in
two variables,
system of linear
equation and
inequalities in two
variables and
linear functions,
and solve these
problems
accurately using a
variety of
strategies.
LEARNING
COMPETENCIES
(AMT LEARNING
GOALS)
ASSESSMENT
ACTIVITIES
RESOURCES
INSTITUTIONAL
CORE VALUES
OFFLINE
ONLINE
ACQUISITION
Factors completely
different types of
polynomials
(polynomials with
common monomials
factors, difference of
two squares, sum and
difference of two
cubes, perfect square
trinomials and
general trinomials).
Illustrates rational
algebraic expressions
Illustrate the
rectangular
coordinate system
and its uses.
Illustrate linear
Quiz (Problem
Solving)
Group activity
Worksheet
Amiable
labeling
Pair activity
Worksheet
Respect
Long quiz
(identification)
Individual
activity
Worksheet
Excellence
Diagnostic test
Individual
Worksheet
Commitment
equations in two
variables.
Illustrate the slope of
lines
Finds the slope of the
line given two points,
equation, and graph.
Finds the equation of
a line given (a) two
points; (b) the slope
and a point; (c) the
slope and its
intercepts.
Illustrate a system of
linear equations in
two variables.
(true or false)
activity
Graphing
Pair activity
Worksheet
Commitment
Quiz
Buzz session
Worksheet
Commitment
Long quiz
(formulate an
equation)
Reporting
Worksheet
Service
Fill in the blank
Group activity
Worksheet
Patience
Performs operations
on rational algebraic
expression.
Long quiz
Group activity
(solve a problem
involving the
operations on
algebraic
expressions.
Graphing (solve Individual
the linear
activity
equation)
Worksheet
Worksheet
Competence
Short quiz (
identification
Pair activity
Worksheet
Competence
Quiz (solve and
graph)
Individual
activity
Worksheet
Respect
MEANING MAKING
Graphs a linear
equation given (a)
any two points; (b)
the x- and yintercepts; (c) the
slope and a point of a
line.
Describes the graph
of linear equation in
terms of its intercepts
and slope.
Graphs a system of
linear equation in
Respect
two variables.
Performs operations
on rational algebraic
expression.
Diagnostic test
(problem
solving)
Board work
Solves problems
involving factors of
polynomials.
Long quiz
(problem
solving)
Simplifies rational
algebraic
expressions.
Solves problems
involving rational
algebraic
expressions.
Worksheet
excellence
Think-pairshare
Worksheet
Courage
Short quiz
(simplify)
Pair activity
Worksheet
Respect
Short quiz
(solve the
problem
involving
rational
algebraic
expressions)
Long quiz
(complete the
equation)
Board rotation
Worksheet
Critical thinker
Exit slip
Worksheet
Excellence
Short quiz
(multiple
choice)
Pair activity
Worksheet
Service
Short quiz
(solve the linear
equation and
graphs)
Circle a
question
Worksheet
Amiable
TRANSFER
Writes the linear
equation given ax +
by = c in the form y
= mx + b and vice
versa.
Categorize when a
given system of
linear equations in
two variables has
graphs that are
parallel, intersecting
and coinciding.
Solves a system of
linear equations in
two variables by (a)
graphing; (b)
substitution; (c)
elimination.
Solves problem
involving system of
linear equations in
two variables.
Prepared by: Edmond A. Bajado
Math Teacher
Problem solving
Math
Olympiad
Worksheet
Goal oriented
Checked by: Ms. Mineva M. Dulfo
Elem/HS Coordinator
Mater Divinae Gratiae College
Picardo Airport, Dolores Eastern Samar
SY 2022-2023
CURRICULUM MAP IN MATHEMATICS 8
SUBJECT: MATHEMATICS
GRADE LEVEL: 8
QUARTER: SECOND QUARTER
Quarter/
Month
UNIT TOPIC:
CONTENT
CONTENT
STANDARD
PERFORMANC
E STANDARD
QURTER II
PATTERNS AND
ALGEBRA
-demonstrates
key concepts
of linear
inequalities in
two variables,
system 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, system
of linear
inequalities in two
variables and
linear functions
LEARNING
COMPETENCIES
(AMT LEARNING
GOALS)
ASSESSMENT
ACTIVITIES
RESOURCES
INSTITUTIONAL
CORE VALUES
OFFLINE
ONLINE
ACQUISITION
Illustrates linear
inequalities in two
variables.
Compare and
contrast
Graphic organizer
Worksheet
Love for
Knowledge
Illustrate a relation
and a function.
Illustrate a linear
function.
3-minutes spot
report
Working with
text
Pair activity
Worksheet
Excellence
Line ups activity
Worksheet
Integrity
Differentiates linear
inequalities in two
variables from linear
equations in two
variables.
Timeline
(differentiate)
mix-N-match
Worksheet
Service
MEANING MAKING
Graphs linear
inequalities in two
variables.
Plotting points
Individual activity
Worksheet
Service
Determines
dependent and
independent
variables
Graphs a linear
functions (a) domain;
(b) range; (c) tables
of values; (d)
intercepts; (e) slopes
Determines the
relationships
between the
hypothesis and the
conclusion of if-then
statement.
Determines inverse,
converse and
contrapositive of ifthen statement.
Long quiz (true
or false)
Group activity
Worksheet
Competence
Graph (using
line graph)
Individual activity
Worksheet
Competence
Quiz
Fun and pick
Worksheet
Excellence
Quiz (multiple
choice)
Group activity
Worksheet
amiable
TRANSFER
Solves problem
involving linear
inequalities in two
variables
Solves a system of
linear inequalities in
two variables
Solves problem
involving system of
linear inequalities in
two variables.
Quiz (word
problem)
Group activity
Worksheet
Courage
Diagnostic test
(problem
solving)
Olympiad
problem
Think-pair-and
share
Worksheet
Commitment
Board rotation
Worksheet
Commitment
Verifies of a given
relation is a function
Solves a problem
involving linear
functions.
Transforms a
statement into an
equivalent if-then
statement.
Uses inductive and
deductive reasoning
in an argument.
Writes proofs (both
direct and indirect)
Prepared by: Edmond A. Bajado
Math Teacher
YES or NO card
Individual activity
Worksheet
Excellence
Quiz (problem
solving)
Board work
Worksheet
Service
Written exam
(multiple
choice)
Think pair and
share
Worksheet
Excellence
Written exam
(argument form)
Jigsaw problem
solving
Worksheet
Service
Essay
(application
written exam)
Circle the sage
Worksheet
Excellence
Checked by: Ms. Mineva M. Dulfo
Elem/HS Coordinator
Mater Divinae Gratiae College
Picardo Airport, Dolores Eastern Samar
SY 2022-2023
CURRICULUM MAP IN MATHEMATICS 8
QUARTER: 3rd QUARTER
SUBJECT: MATHEMATICS
GRADE LEVEL: 8
Quarter/
Month
UNIT TOPIC:
CONTENT
CONTENT
STANDARD
PERFORMANC
E STANDARD
QUARTER
III
Geometry
Demonstrates
understanding
of key
concepts of
axiomatic
structure of
geometry and
triangle
congruence.
- Is able to
formulate an
organized plan to
handle a real-life
situation.
- is able to
communicate
mathematical
thinking with
coherence and
clarity in
formulating,
investigating,
analyzing, and
solving real-life
problems
LEARNING
COMPETENCIES
(AMT LEARNING
GOALS)
ASSESSMENT
ACTIVITIES
RESOURCES
INSTITUTIONAL
CORE VALUES
OFFLINE
ONLINE
ACQUISITION
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.
Concept Map
(to illustrate the
key concept)
illustrates triangle
congruence
illustrates the SAS,
ASA and SSS
congruence
postulates.
Concept
Definition Map
illustrates
postulates
Message relay
activity (board
work)
Worksheet
amiable
(trust skills)
(goal-oriented)
Worksheet
Excellence
Worksheet
Service
(Communication)
Individual
activity
(seatwork)
Think-pairshare.
puzzle relay
Think-pairshare.
involving
congruent
triangles using
appropriate and
accurate
representations
MEANING MAKING
describes a
mathematical system.
Quiz (complete
the puzzle)
buzz group
(reporting)
proves two triangles
are congruent.
Written Exam
(Essay)
Quiz (modified
true or false, if
false show your
solution)
Individual
Activity
Buzz group
(graphic
organizer)
Quiz (prove
each of the
following
problems.)
Quiz (proves
each of the
following
problem)
Pair group
activity.
Quiz (problem
solving.)
Group activity.
(5 each
members)
proves statements on
triangle congruence.
Pair activity
Worksheet
respect
(goal-oriented) –
-Excellence
(Critical Thinker)
Worksheet
Commitment
(Social skills)
Worksheet
Competence
Worksheet
Respect
(Active listening)
(Collaboration
skills)
Worksheet
Excellence
(Critical thinker)
TRANSFER
solves corresponding
parts of congruent
triangles
Pair activity
applies triangle
congruence to
Quiz (problem
solving)
individual
activity(Board
construct
perpendicular lines
and angle bisectors.
Prepared by: Edmond A. Bajado
Math Teacher
work)
Checked by: Ms. Mineva M. Dulfo
Elem/HS Coordinator
Mater Divinae Gratiae College
Picardo Airport, Dolores Eastern Samar
SY 2022-2023
CURRICULUM MAP IN MATHEMATICS 8
SUBJECT: MATHEMATICS
GRADE LEVEL: 8
QUARTER: FOURTH QUARTER
Quarter/
Month
UNIT TOPIC:
CONTENT
CONTENT
STANDARD
PERFORMANC
E STANDARD
QUARTER
IV
Geometry
Demonstrates
understanding
of key
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
of lines using
appropriate and
accurate
Statistics and
Probability
Demonstrate
understanding
of key
concepts of
probability.
LEARNING
COMPETENCIES
(AMT LEARNING
GOALS)
ASSESSMENT
ACTIVITIES
RESOURCES
INSTITUTIONAL
CORE VALUES
OFFLINE
ONLINE
ACQUISITION
illustrates theorems
on triangle
inequalities (Exterior
Angle Inequality
Theorem, Triangle
Inequality Theorem,
Hinge Theorem).
Hierarchy
diagram (to
illustrates
theorems)
illustrates an
experiment,
outcome, sample
space and event
Venn Diagram
Individual
activity
Worksheet
Amiable
Worksheet
Excellence
(Critical thinker)
buzz group
(reporting)
Group
Activity
(puzzle
relay)
Individual
Activity
(seatwork)
representations.
is able to
formulate and
solve practical
problems
involving
probability of
simple events
finds the probability
of a simple event.
Long Quiz
(Solving)
Brainstormin
g(Group
Activity)
Worksheet
Commitment
illustrates an
experimental
probability and a
theoretical
probability.
Hierarchy
Diagram
Board
Rotation(Gro
up Activity)
Worksheet
Respect
determines the
conditions under
which lines and
segments are parallel
or perpendicular.
Long Quiz(
Determines the
given
conditions)
Peer review
writing task
Worksheet
Service
(Communication)
counts the number of
occurrences of an
outcome in an
experiment: (a) table;
(b) tree diagram; (c)
systematic listing;
and (d) fundamental
counting principle.
3-minute-spotreport
Worksheet
Amiable
(Goal oriented)
applies theorems on
triangle inequalities.
Quiz (solves the
given word
problem and
figure applying
the theorem)
Worksheet
Nurturing skills
MEANING MAKING
Message
Relay
(Group
Activity)
Circle the
sage
TRANSFER
Group
Activity. 5
members
(“code word
“after
defining the
proves inequalities in
a triangle
proves properties of
parallel lines cut by a
transversal
solves problems
involving
probabilities of
simple events
Prepared by: Edmond A. Bajado
Math Teacher
Quiz ( modified
true or false, if
false show your
solution if and
only if)
Long Quiz
(solves the
given word
problem and
figure applying
the theorem)
proving
Long
Quiz(Problem
solving)
word
construct a
figure and
name it.)
Group
Activity 6
members
each group
(math
Olympiad)
Worksheet
Pro-active
Worksheet
Excellence
Worksheet
Respect
Individual
Activity
(seatwork)
Individual
Activity
(seatwork)
Group
Activity
(Buzz
Session)
Think pair
repeat
Checked by: Ms. Mineva M. Dulfo
Elem/HS Coordinator
Mater Divinae Gratiae College
Picardo Airport, Dolores Eastern Samar
SY 2022-2023
CURRICULUM MAP IN MATHEMATICS 9
SUBJECT: MATHEMATICS
GRADE LEVEL: 9
QUARTER: FIRTS QUARTER
Quarter/
Month
UNIT TOPIC:
CONTENT
CONTENT
STANDARD
PERFORMANC
E STANDARD
QUARTER I
PATTERNS AND
ALGEBRA
-demonstrates
key concepts
of quadratic
equations,
inequalities
and functions,
and rational
algebraic
expression.
- is able to
investigate
thoroughly
mathematical
relationships in
various situations,
formulate real-life
problems
involving
quadratic
equations,
inequalities and
functions and
rational algebraic
equations and
solve them using
a variety of
strategies.
LEARNING
COMPETENCIES
(AMT LEARNING
GOALS)
ASSESSMENT
ACTIVITIES
RESOURCES
INSTITUTIONAL
CORE VALUES
OFFLINE
ON
LIN
E
ACQUISITION
Illustrates quadratic
equations.
a. find the
dimension of the
bulletin board.
Describe the
equation
formulated.
Illustrate quadratic
inequalities.
b. identify
which are
quadratic and
which are not
with
explanations.
Quiz
(identification)
Describes the
relationship between
Find the sum
and the product
a. draw a diagram to
illustrate the bulletin board.
Worksheet
Love for
Knowledge
Worksheet
Excellence
Worksheet
Service
b. use worksheet
(identifying the equations
which are quadratic and
which are not.
Group activity
MEANING MAKING
Think-pair share
the coefficients and
the roots of a
quadratic equation.
Graphs a quadratic
function.
of roots of
quadratic
equation. Verify
your answers by
obtaining the
roots of the
equation.
Drawing graphs
Group activity
Worksheet
Service
Worksheet
Competence
Determines the
equation of a
quadratic function
given; (a) a table of
values; (b) graph; (c)
zeros.
Quiz (determine
the equation of a
quadratic
function)
Picture analysis
Solves quadratic
equations by: (a)
extracting square
roots; (b) factoring;
(c) completing the
square; and (d) using
the quadratic
formula.
Characterize the
roots of a quadratic
equation using the
discriminant.
Solves equations
transformable to
quadratic equations
(including rational
algebraic equations).
Long Quiz
Group collaboration
Worksheet
Courage
Diagnostic test
(problem
solving)
Completing the table
Worksheet
Commitment
Transform
quadratic
equation in the
form y = ax2 +
bx + c.
Group activity
(transforming quadratic
equations in standard form.
Worksheet
Commitment
TRANSFER
Solves problems
involving quadratic
equations and
rational algebraic
equations.
Solves quadratic
inequalities
Solves problem
involving quadratic
inequalities.
Models real-life
situations using
quadratic functions.
Transform the
quadratic function
defined by ax2 + bx
+ c into the form y =
a(x – h)2 + k.
Analyses the effects
of changing the
values of h and k in
the equation y = a(x
– h)2 + k of a
quadratic function on
its graph.
Prepared by: Edmond A. Bajado
Math Teacher
Quiz (problem
solving)
Group collaboration (how
are quadratic equations
used in solving real-life
problems and in making
decisions.
Board work
Worksheet
Excellence
Worksheet
Service
Group activity
Worksheet
Excellence
Quiz (problem
solving)
Work in pairs
Worksheet
Service
Rewrite the
general form of
quadratic
function to its
standard form
using h and k.
Finding the
zeros of the
quadratic
functions.
INDIVIDUAL
ASSESSMENT
Worksheet
Commitment
Pair activity
Worksheet
Excellence
Quiz (problem
solving)
Finding the
diagonal.
Checked by: Ms. Mineva M. Dulfo
Elem/HS Coordinator
Mater Divinae Gratiae College
Picardo Airport, Dolores Eastern Samar
SY 2022-2023
CURRICULUM MAP IN MATHEMATICS 9
SUBJECT: MATHEMATICS
GRADE LEVEL: 9
QUARTER: SECOND QUARTER
Quarter/
Month
UNIT TOPIC:
CONTENT
CONTENT
STANDARD
PERFORMANC
E STANDARD
QUARTER
II
PATTERNS AND
ALGEBRA
-demonstrate
understanding
of key
concepts of
variation and
radicals.
- is able to
formulate and
solve accurately
problems
involving
radicals.
LEARNING
COMPETENCIES
(AMT LEARNING
GOALS)
ASSESSMENT
ACTIVITIES
RESOURCES
INSTITUTIONAL
CORE VALUES
OFFLINE
ONLINE
ACQUISITION
Illustrates situations
that involve the
following; (a) direct;
(b) inverse; (c) joint;
(d) combined.
Illustrate expressions
with rational
exponents.
Simplifies radical
expressions using the
law of radicals.
Simplifies
expressions with
rational exponents
Quiz (problem
solving)
Group activity
Worksheet
Amiable
Simplify the
given expression
using the law for
fractional
exponents.
Quiz (problem
solving)
Group activity
(work in group of
5 members)
Worksheet
Excellence
Pair activity
Worksheets
Service
Quiz
Group activity
Worksheet
Integrity
Transforming
the given radical
Group activity
Worksheet
Service
MEANING MAKING
Writes expressions
with rational
exponents as radicals
and vice versa.
Derives the laws of
radicals.
form into
exponential
form and vice
versa.
1. Transforms
each expression
to radical form.
Individual activity
Worksheet
Service
2. Write each
expression with
rational
exponent.
TRANSFER
Translate 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.
Solves problems
involving variation
Applies the laws
involving positive
integral exponents to
zero and negative
integral exponents.
Performs operations
on radical
expressions.
Solves equation
Formulating
mathematical
equation that
represents a
given equation.
Group
collaboration
Worksheet
Courage
Solving real-life
problems
involving
variation
Olympiad
problem
WORK IN
PAIRS ( Worded
problems)
Worksheet
Commitment
Board rotation
Worksheet
Commitment
Quiz
Individual activity
(formative test)
Worksheet
Excellence
Quiz (problem
Board work
Worksheet
Service
involving radical
expressions
Solves problems
involving radicals.
Prepared by: Edmond A. Bajado
Math Teacher
solving)
Quiz (word
problem)
Work in pairs
(problem solving)
Worksheet
Excellence
Checked by: Ms. Mineva M. Dulfo
Elem/HS Coordinator
Mater Divinae Gratiae College
Picardo Airport, Dolores Eastern Samar
SY 2022-2023
CURRICULUM MAP IN MATHEMATICS 9
SUBJECT: MATHEMATICS
GRADE LEVEL: 9
QUARTER: THIRD QUARTER
Quarter/
Month
UNIT TOPIC:
CONTENT
CONTENT
STANDARD
PERFORMANC
E STANDARD
QUARTER
III
Geometry
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.
LEARNING
COMPETENCIES
(AMT LEARNING
GOALS)
ASSESSMENT
ACTIVITIES
RESOURCES
INSTITUTIONAL
CORE VALUES
OFFLINE
ONLINE
ACQUISITION
Identifies
quadrilaterals that are
parallelograms.
Illustrates similarity
of figures.
Pre-assessment
(Multiple
Choice)
Hands- on
operation
Group activity
Worksheet
Amiable
Pair activity
Worksheet
Excellence
Determines the
conditions that make
a quadrilateral a
parallelogram.
Proves theorems on
the different kinds of
parallelogram
(rectangle, rhombus,
square).
Labeling
Labeling
Excercise
Worksheet
Excellence
(Critical thinker)
Worksheet
Amiable
MEANING MAKING
Proving
Labeling exercise
Proves the Midline
Theorem.
Proving
Group Activity
(Brainstorming)
Worksheet
Excellence
Proves theorems on
trapezoids and kites.
Proving
Activity (Think,
Pair and Share)
Proves the conditions
for similarity of
triangles.
39.1 SAS similarity
theorem
39.2 SSS similarity
theorem
39.3 AA similarity
theorem
39.4 right triangle
similarity theorem
39.5 special right
triangle theorems
Describes a
proportion.
Pre-assessment
(Multiple
Choice)
Group Activity 1
(Brainstorming)
Worksheet
Commitment
Worksheet
Respect
Essay Question
Group Activity
(Brainstorming
Proves the
Pythagorean
Theorem
Proving
Activity
(Pythagorean
Theorem and It’s
Proof)
Worksheet
Commitment
Uses properties to
find measures of
angles, sides and
other quantities
involving
parallelograms.
Solves problems
Quiz (Using
Properties)
Group
collaboration
Worksheet
Courage
Long Quiz
Activity (Cute
Worksheet
Commitment
Activity 2 (My
Decisions Now
and Then Later)
Proving
Activity 3 (AA
Similarity
Theorem and Its
Proof)
TRANSFER
involving
parallelograms,
trapezoids and kites.
Applies the
fundamental
theorems of
proportionality to
solve problems
involving
proportions.
Applies the theorems
to show that given
triangles are similar.
Solves problems that
involve triangle
similarity and right
triangles.
Prepared by: Edmond A. Bajado
Math Teacher
(Problem
Solving)
Kite)
Quiz (Problem
solving)
Activity 1 (You
Complete Me)
Worksheet
Excellence
(Critical thinker)
Group Activity
2(Brainstorming)
Mini task
Activity (Think,
Pair and Share)
Worksheet
Commitment
Long Quiz
(Problem
Solving)
Group Activity
(Brainstorming
Worksheet
Service
Checked by: Ms. Mineva M. Dulfo
Elem/HS Coordinator
Mater Divinae Gratiae College
Picardo Airport, Dolores Eastern Samar
SY 2022-2023
CURRICULUM MAP IN MATHEMATICS 9
SUBJECT: MATHEMATICS
GRADE LEVEL: 9
QUARTER: FOURTH QUARTER
Quarter/
Month
UNIT TOPIC:
CONTENT
CONTENT
STANDARD
PERFORMANC
E STANDARD
QUARTER
IV
Geometry
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.
LEARNING
COMPETENCIES
(AMT LEARNING
GOALS)
ASSESSMENT
ACTIVITIES
RESOURCES
INSTITUTIONAL
CORE VALUES
OFFLINE
ONLINE
ACQUISITION
Illustrates the six
trigonometric ratios:
sine, cosine, tangent,
secant, cosecant, and
cotangent.
Pre-assessment
(Multiple
Choice)
Worksheet
Activity 1
(Measuring and
Calculating)
Excellence
(Critical thinker)
Group Activity 2
(You Complete
Me)
Illustrates angles of
elevation and angles
of depression.
Illustrates laws of
sines and cosines.
Practice (How
to Solve)
Group Activity 1
(Brainstorming)
Worksheet
Service
Written Exam
Activity (Think,
Pair and Share)
Worksheets
Commitment
Finds the
trigonometric ratios
Quiz (Problem
Solving)
Group Activity
Worksheet
Excellence
(Critical thinker)
MEANING MAKING
of special angles.
TRANSFER
Uses trigonometric
ratios to solve reallife problems
involving right
triangles.
Long Quiz
(Problem
Solving)
Solves problems
involving oblique
triangles.
Long Quiz
(Problem
Solving)
Activity 1 (Think,
Pair and Share)
Worksheet
Courage
Worksheet
Commitment
Activity 2
(Identify Me)
Group Activity 1
(Brainstorming)
Group Activity 2
(Elevation or
Depression)
Prepared by: Edmond A. Bajado
Math Teacher
Checked by: Ms. Mineva M. Dulfo
Elem/HS Coordinator
Mater Divinae Gratiae College
Picardo Airport, Dolores Eastern Samar
SY 2022-2023
CURRICULUM MAP IN MATHEMATICS 10
SUBJECT: MATHEMATICS
GRADE LEVEL: 10
QUARTER: FIRST QUARTER
Quarter/
Month
UNIT TOPIC:
CONTENT
CONTENT
STANDARD
PERFORMANC
E STANDARD
QUARTER
I
PATTERNS AND
ALGEBRA
-demonstrate
understanding
of key
concepts of
sequences,
polynomials
and
polynomial
equation.
- is able to
formulate and
solve problems
involving
sequences,
polynomial and
polynomial
functions in
different
disciplines
through
appropriate and
accurate
representation.
LEARNING
COMPETENCIES
(AMT LEARNING
GOALS)
ASSESSMENT
ACTIVITIES
RESOURCES
INSTITUTIONAL
CORE VALUES
OFFLINE
ONLINE
ACQUISITION
Generate patterns
Illustrate an
arithmetic sequence
Illustrates other types
of sequences (e.g.,
harmonic, Fibonacci)
Finds the sum of the
terms of an
arithmetic sequence
Finds the sum of the
terms of a given
finite and infinite
geometric sequence
Factors polynomials
Diagnostic test
(complete the
table)
Quiz (complete
the number
series)
Diagnostic test
(identification)
Group activity
(reporting)
Worksheet
Integrity
Individual activity
Worksheet
Excellence
Exit slip
(individual)
Worksheets
Respect
Quiz (problem
solving)
Individual activity
(seat work)
Worksheets
Amiable
Quiz (problem
solving)
Think-pair-share
Worksheets
Respect
Short quiz
(problem
solving)
Individual activity
Worksheets
Commitment
Illustrate
polynomials equation
identification
Labelling
Quiz bowl
Worksheet
Excellence
MEANING MAKING
Differentiate a
geometric sequence
from arithmetic
sequence.
Modified true or
false
Individual activity
Worksheet
Excellence
Differentiate a finite
and infinite
geometric sequence.
Determines
arithmetic means and
nth term of an
arithmetic sequence
Short quiz
(matching type)
Graphic organizer
Worksheet
Respect
Identification
Message relay
activity (board
work)
Worksheet
Amiable
Determines
geometric means and
nth term of a
geometric sequence.
Complete the
puzzle
Puzzle relay
Worksheet
Respect
Solves problem
involving sequences
Quiz (problem
solving)
Pair activity
Worksheet
Service
Performs division of
polynomials using
long division and
synthetic division
Proves the remainder
theorem and the
factor theorem.
Proves rational root
Problem solving
Buzz session
Worksheet
Excellence
Quiz (proving)
Board rotation
Worksheet
Commitment
Quiz (proving)
Documentations
Worksheet
Excellence
TRANSFER
theorem.
Solves ;polynomial
equation
Solves problems
involving polynomial
and polynomial
equations.
Prepared by: Edmond A. Bajado
Math Teacher
Short Quiz
(simplify)
Quiz (problem
solving)
activity
Individual activity
Worksheet
Excellence
Individual activity
Worksheet
Respect
Checked by: Ms. Mineva M. Dulfo
Elem/HS Coordinator
Mater Divinae Gratiae College
Picardo Airport, Dolores Eastern Samar
SY 2022-2023
CURRICULUM MAP IN MATHEMATICS 10
SUBJECT: MATHEMATICS
GRADE LEVEL: 10
QUARTER: SECOND QUARTER
Quarter/
Month
UNIT TOPIC:
CONTENT
CONTENT
STANDARD
PERFORMANC
E STANDARD
QUARTER
II
PATTERNS AND
ALGEBRA
-demonstrate
understanding
of key
concepts of
polynomial
functions.
- is able to
conduct
systematically a
mathematically
investigation
involving
polynomial
functions in
different field.
-demonstrate
understand of
the key
concepts of
circles and
coordinates
geometry.
-is able to
formulate and
find solutions to
challenging
situations
involving circles
and other related
terms in different
discipline through
appropriate and
accurate
representations.
LEARNING
COMPETENCIES
(AMT LEARNING
GOALS)
ASSESSMENT
ACTIVITIES
RESOURCES
INSTITUTIONAL
CORE VALUES
OFFLINE
ONLINE
ACQUISITION
Illustrates
polynomial
functions.
Illustrate secants,
tangents, segments,
arch, central angles
and inscribed angles
Derives the distance
formula.
Illustrate the centerradius form of the
equation f a circle.
Diagnostic test
(identification)
Individual activity
Worksheet
Critical thinker
Diagnostic test
(labeling)
Group activity
(math Olympiad)
Worksheet
Excellence
Complete the
procedure
Construct a
figure base on
guided problem
then form as an
equation.
Pair activity
worksheets
Respect
Picture analysis
worksheets
Respect
Graph polynomial
functions.
Graph the given
polynomial
functions.
Pair activity
Worksheet
Service
Determine the center
Quiz (solve the
Individual activity
Worksheet
Excellence
MEANING MAKING
and radius of a circle
given its equation
and vice versa.
Graphs a circle and
other geometric
figure on the
coordinate plane.
word problems
and the given
figure)
Plots the points
and graphs.
(seatwork)
Group activity
(reporting)
Worksheet
Respect
TRANSFER
Solves problem
involving polynomial
functions
Quiz (word
problem)
Buzz session
Worksheet
Service
Proves theorem
related to chords,
arch, central angles
and inscribed angles
Proves theorems on
secant, tangents, and
segments.
Solves problem on
circle
Applies the distance
formula to prove to
some geometric
properties.
Proving
Individual activity
(seatwork)
Worksheet
Excellence
Quiz (modified
true or false)
Individual activity
(seatwork)
Worksheet
Excellence
Olympiad
problem
Quiz (solve the
problem
applying the
distance
formula)
Quiz (problem,
solving)
Group activity
(problem solving)
Individual activity
Worksheet
Respect
Worksheet
Respect
Pair activity
Worksheet
Respect
Solves problems
involving geometric
figure in the
coordinate figure.
Prepared by: Edmond A. Bajado
Math Teacher
Checked by: Ms. Mineva M. Dulfo
Elem/HS Coordinator
Mater Divinae Gratiae College
Picardo Airport, Dolores Eastern Samar
SY 2022-2023
CURRICULUM MAP IN MATHEMATICS 10
SUBJECT: MATHEMATICS
GRADE LEVEL: 10
QUARTER: THIRD QUARTER
Quarter/
Month
UNIT TOPIC:
CONTENT
CONTENT
STANDARD
PERFORMANC
E STANDARD
QUARTER
III
Statistics and
Probability
The learner
demonstrates
understanding
of key
concepts of
measures of
position.
The learner is
able to conduct
systematically a
mini-research
applying the
different
statistical
methods.
1.Quartiles
2. Deciles and
Percentiles
3. Box plot
LEARNING
COMPETENCIES
(AMT LEARNING
GOALS)
ASSESSMENT
ACTIVITIES
RESOURCES
INSTITUTIONAL
CORE VALUES
OFFLINE
ONLINE
ACQUISITION
Board works and
mini quiz bee
Illustrates the
following measures
of position:
quartiles, deciles
and percentiles.
Calculates a
specified measure of
position (e.g. 90th
percentile) of a set
of data.
Quiz (Multiple
Choice)
Problem
solvingQuartiles,
Deciles and
Percentiles
Board Works
Interprets measures
of position.
identification
Pair activity
Worksheet
show
participation in
class
Worksheet
Commitment
Worksheet
Service
MEANING MAKING
Formulates
statistical miniresearch.
Quiz
Individual activity
(seatwork)
Worksheet
Excellence
TRANSFER
Prepared by: Edmond A. Bajado
Math Teacher
Solves problems
involving measures
of position.
Quiz (Problem
solving)
Buzz session
Worksheet
Service
Uses appropriate
measures of position
and other statistical
methods in
analyzing and
interpreting research
data.
Written Exam
( Solving and
Statement
form)
Think-pair-andshare
Worksheet
Excellence
Checked by: Ms. Mineva M. Dulfo
Elem/HS Coordinator
Mater Divinae Gratiae College
Picardo Airport, Dolores Eastern Samar
SY 2022-2023
CURRICULUM MAP IN MATHEMATICS 10
SUBJECT: MATHEMATICS
GRADE LEVEL: 10
Quarter/
Month
QUARTER
IV
UNIT TOPIC:
CONTENT
Statistics and
Probability
1.Permutation
2. Combination
3. Events and its
Operation
4. Probability of
Compound
Events
QUARTER: FOURTH QUARTER
CONTENT
STANDARD
PERFORMANC
E STANDARD
The learner
demonstrates
understanding
of key
concepts of
combinations
and
probability
The learner is
able to use
precise counting
technique and
probability in
formulating
conclusions and
making
decisions.
LEARNING
COMPETENCIES
(AMT LEARNING
GOALS)
ASSESSMENT
ACTIVITIES
RESOURCES
INSTITUTIONAL
CORE VALUES
OFFLINE
ONLINE
ACQUISITION
illustrates the
permutation of
objects
Differentiating
permutation
and
combination
Board Works
Group works in
solving
Worksheet
Illustrates
combination of
objects.
Illustrates events
and union and
intersection of
events.
Illustrates the
probability of a
union of two events.
Oral
Recitations in
formula
Finding the
intersection of
events
Board Works
Worksheet
realize the
importance of
permutation and
combination in
real life situation
Commitment
Group Actvity
Worksheet
Excellence
Finding the
union of events
Board works
Worksheet
Service
MEANING MAKING
Permutation of
my Name”- how
many ways can
they arranged
the letters of
their names?
“Selection
Ways”problems
involving
combination
Worksheet
Service
Quiz
Group
presentations in
solving given
problems
Worksheet
Excellence
Illustrating by
the use of Venn
Diagram
Shading the
required
operation using
Venn Diagram
Worksheet
Improve their
comprehension
in solving
problems.
Problem
solving:
Permutation
And
combination
Quiz (Solving
problem
involving
combinations
Pair activity
Worksheet
Service
Think-pair-andshare
Worksheet
Excellence
Derives the formula
for finding the
number of
permutations of n
objects taken r at a
time.
Derives the formula
for finding the
number of
combinations of n
objects taken r at a
time.
Differentiates
permutation from
combination of n
objects taken r at a
time.
Finds the
probability of
(𝐴∪𝐵).
Quiz (Problem
Solving)
solves problems
involving
permutations.
Quiz
TRANSFER
Solves problems
involving
permutations and
combinations.
and
permutations)
solves problems
involving
probability
Prepared by: Edmond A. Bajado
Math Teacher
problem
solving- finding
probability
Group activitygetting the
probability of the
given problems
Worksheet
Excellence
Checked by: Ms. Mineva M. Dulfo
Download