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1. Saint Martin Academy, Inc.
Dumalag, Capiz
A.Y. 2023 – 2024
Flexible Instruction Delivery Plan
Grade: 11 Semester: 1
ST
SEMESTER
Core Subject Title: General Mathematics No of hours/semester:80 HOURS
Prerequisites (if needed)
Core Subject Description:
At the end of the course, the students must know how to solve problems involving rational, exponential and logarithmic functions; to solve business-related
problems; and to apply logic to real-life situations.
Culminating Performance
Standard:
The learners are able to apply their knowledge of Functions, Business Mathematics, and Logic in dealing with the intricacies of mathematical and scientific
concepts in higher education, entrepreneurial demands, middle-level skills development, and employment through the use of their critical and analytical
thinking skills and appropriate mathematical and financial tools to make sound and justifiable decisions.
What to Teach? Why Teach? How to Assess? What to Teach?
Content
Content
Standards
Most
Essential
Topics
Performance
Standards
Learning competencies Highest Thinking Skill to Assess
Highest Enabling Strategy to Use
in developing the Highest
Thinking Skill to Assess
Complete
KUD
Classification
Most Essential
KUD
Classificatio
n
RBT Level
Flexible Assessment
Activities (FAA)
Enabling
General
Strategy
Flexible
Learning
Strategies
(FLS)Performance Checks
Quarter 1
Functions
and Their
Graphs
The learner
demonstrates
understanding
of key concepts
of functions.
Modelling
Functions
The learner is
able to
accurately
construct
mathematical
models to
represent
real-life
situations
using
Represents
real-life
situations using
functions,
including piece-
wise functions.
Knowing
Represents real-
life situations
using functions,
including piece-
wise functions.
Knowing
Understandi
ng
Routine exercise on
representing situations
using functions, including
piece-wise functions
Representation
Self-
Regulated
Learning
Through
Provided
Learning
Module
Learner’s
Evaluates a
function.
Understandi
ng
Evaluates a
function.
Understandi
ng
Evaluation
Routine exercise on
evaluating a function.
Reasoning and
Proof
Performs
addition,
Understan
ding
Performs
addition,
Understandi
ng
Evaluating
Routine exercise on
performing addition,
Reasoning and
Proof

2. functions subtraction,
multiplication,
division, and
composition of
function.
subtraction,
multiplication,
division, and
composition of
function.
subtraction,
multiplication, division,
and composition of
function.
Self-
Assessme
nt
Reflection
Journal
Explorator
y
Technolog
y
Integratio
n
Solves
problems
involving
functions.
Doing
Solves problems
involving
functions.
Doing Creating
Solving real-life
problems involving
functions.
The learner will
create a real-life
problem involving
functions and then
show step-by-step
solution.
Problem
Solving
The learner
demonstrates
understanding
of key concepts
of rational
functions.
Rational
Functions
The learner is
able to
accurately
formulate and
solve real-life
problems
involving
rational
functions.
Represents
real-life
situations using
rational
functions.
Knowing
Represents real-
life situations
using rational
functions.
Knowing
Understandi
ng
Routine exercise on
representing real-life
situations using rational
functions.
Representation
Distinguishes
rational
function,
rational
equation, and
rational
inequality.
Understandi
ng
Distinguishes
rational
function,
rational
equation, and
rational
inequality.
Understandi
ng
Analysis
Classifying the given as
rational function, rational
equation, or rational
inequality
Communicatio
n
Solves rational
equations and
inequalities.
Doing
Solves rational
equations and
inequalities.
Doing Creating
Solving rational equations
and inequalities.
Problem
Represents a
rational
function
through its: (a)
table of values,
(b) graph, and
(c) equation.
Knowing
Represents a
rational function
through its: (a)
table of values,
(b) graph, and
(c) equation.
Knowing
Understandi
ng
Routine exercise on
representing a rational
function through its: (a)
table of values, (b) graph,
and (c) equation.
Representation
Finds the
domain and
range of a
rational
function.
Knowing
Finds the
domain and
range of a
rational
function.
Knowing
Understandi
ng
Routine exercise on
finding the domain and
range of a rational
function.
Representation
Determines
the:
Knowing
Determines the:
(a) intercepts
Knowing
Understandi
ng
Routine exercise on
determining the:
Representation

3. (a) intercepts
(b) zeroes; and
(c) asymptotes
of rational
functions
(b) zeroes; and
(c) asymptotes
of rational
functions
(a) intercepts
(b) zeroes; and
(c) asymptotes of rational
functions
Solves
problems
involving
rational
functions,
equations, and
inequalities.
Doing
Solves problems
involving
rational
functions,
equations, and
inequalities.
Doing Creating
Solving real-life
problems involving
rational functions,
equations, and
inequalities.
The learning will
create real-life
problem involving
rational function,
equation or inequality
and then show their
step-by-step solution
Problem
Solving
The learner
demonstrates
understanding
of key concepts
of inverse
functions,
exponential
functions, and
logarithmic
functions.
Inverse
and
Logarithm
ic
Functions
The learner is
able to apply
the concepts
of inverse
functions,
exponential
functions, and
logarithmic
functions to
formulate and
solve real-life
problems with
precision and
accuracy.
Represents
real-life
situations using
one-to one
functions.
Knowing
Represents real-
life situations
using one-to one
functions.
Knowing
Understandi
ng
Routine activity on
representing real-life
situations using one-to
one functions.
Representation
Determines the
inverse of a
one-to-one
function.
Knowing
Determines the
inverse of a one-
to-one function.
Knowing
Understandi
ng
Routine exercise on
determining the inverse of
a one-to-one function.
Representation
Represents an
inverse
function
through its: (a)
table of values,
and (b) graph
Knowing
Represents an
inverse function
through its: (a)
table of values,
and (b) graph
Knowing
Understandi
ng
Routine exercise on
representing an inverse
function through its: (a)
table of values, and (b)
graph
Representation
Finds the
domain and
range of an
inverse
function
Knowing
Finds the
domain and
range of an
inverse function
Knowing
Understandi
ng
Routine exercise on
finding the domain and
range of an inverse
function
Representation
Solves
problems
involving
inverse
functions
Doing
Solves problems
involving inverse
functions
Doing Creating
Solving problems
involving inverse
functions
Problem
Solving
Represents Knowing Represents real-Knowing UnderstandiRoutine exercise on Representation

4. real-life
situations using
exponential
functions
life situations
using
exponential
functions
ng
representing real-life
situations using
exponential functions
Distinguishes
between
exponential
function,
exponential
equation, and
exponential
inequality
Understandi
ng
Distinguishes
between
exponential
function,
exponential
equation, and
exponential
inequality
Understandi
ng
Analysis
Classifying the given
exponential expression as
exponential function,
exponential equation, and
exponential inequality
Communicatio
n
Solves
exponential
equations and
inequalities.
Doing
Solves
exponential
equations and
inequalities.
Doing Creating
Solving exponential
equations and
inequalities.
Problem
Solving
Represents an
exponential
function
through its: (a)
table of values,
(b) graph, and
(c) equation.
Knowing
Represents an
exponential
function
through its: (a)
table of values,
(b) graph, and
(c) equation.
Knowing
Understandi
ng
Routine exercise on
representing an
exponential function
through its: (a) table of
values, (b) graph, and (c)
equation.
Representation
Finds the
domain and
range of an
exponential
function
Knowing
Finds the
domain and
range of an
exponential
function
Knowing
Understandi
ng
Routine exercise on
finding the domain and
range of an exponential
function
Representation
Determines the
intercepts,
zeroes, and
asymptotes of
an exponential
function
Knowing
Determines the
intercepts,
zeroes, and
asymptotes of
an exponential
function
Knowing
Understandi
ng
Routine exercise on
determining the
intercepts, zeroes, and
asymptotes of an
exponential function
Representation
Graphs
exponential
functions
Doing
Solves
problems
involving
exponential
functions,
equations, and
Doing Solves problems
involving
exponential
functions,
equations, and
inequalities
Doing Creating Solving problems
involving exponential
functions, equations,
and inequalities
The learner will
create real-life
Problem

5. inequalities
problem involving
exponential function,
equation or inequality
and then show their
step-by-step solution.
Represents
real-life
situations using
logarithmic
functions
Knowing
Represents real-
life situations
using
logarithmic
functions
Knowing
Understandi
ng
Representing real-life
situations using
logarithmic functions
Representation
Distinguishes
logarithmic
function,
logarithmic
equation, and
logarithmic
inequality.
Knowing
Distinguishes
logarithmic
function,
logarithmic
equation, and
logarithmic
inequality.
Knowing
Understandi
ng
Classifying the given
logarithmic expression as
logarithmic function,
logarithmic equation, and
logarithmic inequality.
Representation
Illustrates the
laws of
logarithms
Knowing
Solves
logarithmic
equations and
inequalities
Doing
Solves
logarithmic
equations and
inequalities
Doing Creating
Solving logarithmic
equations and inequalities
Problem
Solving
Represents a
logarithmic
function
through its: (a)
table of values,
(b) graph, and
(c) equation
Knowing
Represents a
logarithmic
function
through its: (a)
table of values,
(b) graph, and
(c) equation
Knowing
Understandi
ng
Representing a
logarithmic function
through its: (a) table of
values, (b) graph, and (c)
equation
Representation
Finds the
domain and
range of a
logarithmic
function.
Knowing
Finds the
domain and
range of a
logarithmic
function.
Knowing
Understandi
ng
Finding the domain and
range of a logarithmic
function.
Representation
Determines the
intercepts,
zeroes, and
asymptotes of
logarithmic
functions.
Knowing
Determines the
intercepts,
zeroes, and
asymptotes of
logarithmic
functions.
Knowing
Understandi
ng
Determining the
intercepts, zeroes, and
asymptotes of logarithmic
functions.
Representation
Solves Doing Solves problems Doing CreatingSolving problems Problem

6. problems
involving
logarithmic
functions,
equations, and
inequalities.
involving
logarithmic
functions,
equations, and
inequalities.
involving logarithmic
functions, equations,
and inequalities.
The learner will
create real-life
problem involving
logarithmic function,
equation or inequality
and then show their
step-by-step solution.
Solving
Quarter 2
Basic
Business
Mathemati
cs
The learner
demonstrates
understanding
of key concepts
of simple
and compound
interests,
and simple and
general
annuities.
Interests
and
Annuities
The learner is
able to
investigate,
analyze and
solve
problems
involving
simple and
compound
interests and
simple and
general
annuities
using
appropriate
business and
financial
instruments.
Illustrates
simple and
compound
interests.
Knowing
Illustrates
simple and
compound
interests.
Knowing
Understandi
ng
Routine exercise on
illustrating simple and
compound interests.
Representation
Self-
Regulated
Learning
Through
Provided
Learning
Module
Learner’s
Self-
Assessme
nt
Reflection
Journal
Explorato
ry
Technolog
y
Integratio
n
Distinguishes
between
simple and
compound
interests.
Knowing
Distinguishes
between simple
and compound
interests.
Knowing
Understandi
ng
Determining whether the
given problem represents
simple or compound
interest.
Representation
Computes
interest,
maturity value,
future value,
and present
value in simple
interest and
compound
interest
environment.
Understandi
ng
Computes
interest,
maturity value,
future value,
and present
value in simple
interest and
compound
interest
environment.
Understandi
ng
Application
Table Completion by
computing interest,
maturity value, future
value, and/or present
value in simple interest
and compound interest
environment.
Connection
Solves
problems
involving
simple and
compound
interests.
Doing
Solves problems
involving simple
and compound
interests.
Doing Creating
Solving problems
involving simple and
compound interests.
Creating real-life
problem involving
simple and
compound interest
Problem
Solving
Illustrates
simple and
general
annuities.
Knowing
Illustrates
simple and
general
annuities.
Knowing
Understandi
ng
Routine exercise on
illustrating simple and
general annuities.
Representation
Distinguishes Knowing Distinguishes Knowing UnderstandiIdentifying whether the Representation

7. between
simple and
general
annuities.
between simple
and general
annuities.
ng
given problem represents
simple or general
annuities.
Finds the
future value
and present
value of both
simple
annuities and
general
annuities.
Knowing
Finds the future
value and
present value of
both simple
annuities and
general
annuities.
Knowing
Understandi
ng
Table Completion by
finding the future value
and present value of both
simple annuities and
general annuities.
Representation
Finds the
future value
and present
value of both
simple
annuities and
General
annuities.
Knowing
Finds the future
value and
present value of
both simple
annuities and
General
annuities.
Knowing
Understandi
ng
Finding the future value
and present value of both
simple annuities and
General annuities.
Representation
calculates the
fair market
value of a cash
flow stream
that includes
an annuity
Understandi
ng
calculates the
fair market
value of a cash
flow stream that
includes an
annuity
Understandi
ng
Application
Calculating the fair market
value of a cash flow
stream that includes an
annuity
Connection
Calculates the
present value
and period of
deferral of a
deferred
annuity.
Understandi
ng
Calculates the
present value
and period of
deferral of a
deferred
annuity.
Understandi
ng
Application
Routine problems on
calculating the present
value and period of
deferral of a deferred
annuity.
Connection
The learner is
able to
demonstrate
understanding
basic concepts
of stocks
and bonds.
Stocks
and
Bonds
The learner is
able to use
appropriate
financial
instruments
involving
stocks and
bonds in
formulating
conclusions
Illustrates
stocks and
bonds
Knowing
Illustrate stocks
and bonds
Knowing
Understandi
ng
Routine Exercise in
illustrating stocks and
bonds
Representation
Distinguishes
between
stocks and
bonds
Knowing Distinguishes
between stocks
and bonds
Knowing Rememberin
g
Determining whether the
given problem represents
stock or bond
Representation

8. and making
decisions.
Describes the
different
markets for
stocks and
bonds
Understandi
ng
Describes the
different
markets for
stocks and
bonds
Understandi
ng
Analyzing
Journal writing on
describing the different
markets for stocks and
bonds
Communicatio
n
Analyzes the
different
market indices
for stocks and
bonds
Understandi
ng
Analyzes the
different market
indices for
stocks and
bonds
Understandi
ng
Analyzing
Routine exercises on
analyzing the different
market indices for stocks
and bonds
Communicatio
n
Interprets the
theory of
efficient
markets
Knowing
Logic The learner
demonstrates
understanding
of key concepts
of propositional
logic; syllogisms
and fallacies.
Introducti
on to
Logic
The learner is
able to
judiciously
apply logic
in real-life
arguments
Illustrates a
proposition
Knowing
Symbolizes
propositions
Understandi
ng
Illustrates and
symbolizes
propositions.
Knowing
Understandi
ng
Routine exercise on
illustrating and symbolizes
propositions.
Representation
Distinguishes
between
simple and
compound
propositions
Understandi
ng
Distinguishes
between simple
and compound
propositions
Knowing
Understandi
ng
Determining whether the
given proposition is a
simple or compound
proposition
Representation
Performs the
different types
of operations
on
propositions
Evaluating
performs the
different types
of operations on
propositions
Understandi
ng
Evaluating
Performing the different
types of operations on
propositions
Reasoning and
Proof
Determines the
truth values of
propositions
Analysis
determines the
truth values of
propositions
Understandi
ng
Analysis
Situational Analysis:
Learners will determining
the truth values of
proposition by trying to
understand the given
situation and apply the
concepts using truth table
Communicatio
n
Illustrates the
different forms
of conditional
Understandi
ng
illustrates the
different forms
of conditional
propositions
Knowing Understandi
ng
Routine exercise on
illustrating the different
forms of conditional
propositions
Represenatatio
n

9. propositions
Illustrates
different types
of tautologies
and fallacies
Understandi
ng
illustrates
different types
of tautologies
and fallacies
Knowing
Understandi
ng
Routine exercise on
illustrating different types
of tautologies and
fallacies
Represenatatio
n
Determines the
validity of
categorical
syllogisms
Analysis
determines the
validity of
categorical
syllogisms
Understandi
ng
Analysis
Routine exercise on
determining the validity
of categorical syllogisms
Communicatio
n
Establishes the
validity and
falsity of real-
life arguments
using logical
propositions,
syllogisms, and
fallacies
Application
establishes the
validity and
falsity of real-
life arguments
using logical
propositions,
syllogisms, and
fallacies
Understandi
ng
Application
The learner will construct
at least two (2) arguments
in words with a valid
conclusion related to the
current
issues in our society like
COVID 19 cases/vaccine,
ABS-CBN franchise, etc.
and identify
the rule of inference
which justify its validity.
Connection
The learner
demonstrates
key methods of
proof and
disproof.
The learner is
able to
appropriately
apply a
method of
proof and
disproof in
real-life
situations.
Illustrates the
different
methods of
proof (direct
and
indirect) and
disproof
(indirect and
by
counterexampl
e)
Knowing
Justifies
mathematical
and real-life
statements
using
the different
methods of
proof and
disproof
Understandi
ng
Performance Task: The learners will investigate prevailing issues in their community like unemployment, school enrolment, unpaid rents, utilities, family members inflicted by COVID-19 to name

10. a few. Then, they will conduct a webinar to educate their constituents. Specifically, the students will find connection on these prevailing issues to concepts of borrowing and
investing. These will involve the application of the learners’ analytical and critical thinking skills and teamwork in strategizing how to arrive at logical solutions using available
technologies. Moreover, their solutions to the issues utilize concepts in Functions, Business Mathematics, and Logic. As financial analysts you are to present bank products, or
loan schemes of government agencies (SSS, GSIS, Pag Ibig) and other private financial institutions. It will also include requirements for loan applications, loan processing, investing
in stocks. With this, students will help the community members to make decisions on the products that best suit their lifestyle. The following are the specific outputs that are
needed from the learners:
On a separate Word file:
A finance-related problem
Profile of the different loan structures
On a separate PPT
A presentation version of the whole report. The report will be evaluated according to the following criteria:
Mathematical Content (45%), Persuasive Delivery (30%), and Creativity and Novelty (15%). Teamwork, Planning and Organization (10%)
Prepared by: Checked by: Approved by:
MS. JEZA F. FEOLA MS. MARIA MELISA V. FAGTANAC SR. MA. AGNES B. PINUELA, OP
Subject Teacher Academic Coordinator Principal