DLL

1. DAILY LESSON
LOG
School ALIBENG NATIONALHS Grade Level GRADE 11
Teacher JOY R. MENDOZA Learning Area GENERAL MATHEMATICS
Teaching Dates and Time SEPTEMBER 19-23, 2022, 9:45-10:45 Quarter I
MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
I. OBJECTIVES
A. ContentStandards
The learner
demonstrates
understandingof key
conceptsof
rational functions.
The learnerdemonstrates
understandingof key
conceptsof
rational functions.
The learner
demonstrates
understandingof key
conceptsof
rational functions.
The learnerdemonstrates
understandingof key
conceptsof
rational functions.
B. Performance Standard
The learnerisable to
accuratelyformulate
and solve real-life
problemsinvolving
rational functions.
The learnerisable to
accuratelyformulate
and solve real-life
problemsinvolving
rational functions.
The learnerisable to
accuratelyformulate
and solve real-life
problemsinvolving
rational functions.
The learnerisable to
accuratelyformulate
and solve real-life
problemsinvolving
rational functions.
C. LearningCompetencies
Determinesthe:(a)
intercepts;(b) zeroes;
and (c) asymptotesof
rational functions
Determinesthe:(a)
intercepts;(b) zeroes;and
(c) asymptotesof rational
functions
Solvesproblems
involvingrational
functions,equations,
and inequalities
Solvesproblemsinvolving
rational functions,
equations,and
inequalities
Objectives
At the endof the lesson,
the learnersshouldbe
able to:
1. recall the meaningof
intercepts,zeroesand
asymptotes;
2. identifythe
intercepts, zeroesand
asymptotesof rational
functions;
At the endof the lesson,
the learnershouldbe able
to:
1. Identifythe asymptotes
of rational functions.
At the endof the lesson,
the learnersshouldbe
able to:
1. solve real-life
problemsinvolving
rational functions,
equations,and
inequalities;
At the endof the lesson,
the learnersshouldbe
able to:
1. solve real-life problems
involvingrational
functions,equations,and
inequalities;
2. carefullyanalyze and
understandword
problemsbefore solving
them
II. CONTENT
Intercepts,Zeroesand
Asymptotesof Rational
Functions
Asymptotesof Rational
Functions
ProblemsInvolving
Rational Functions,
Equations,and
Inequalities
ProblemsInvolving
Rational Functions,
Equations,and
Inequalities./Written
Works No.3
NO GEN MATH ON
FRIDAY
III. LEARNING RESOURCES
A. References

2. MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
1. TG pages
2. LMs pages pp.44-56 pp.44-56
3. Textbookpages
4. Add’l.Materialsfrom
LRMDS portal
ADMModules/SLM
Module 9
ADMModules/SLM
Module 10
ADMModules/SLM
Module 10
ADMModules/SLM
Module 10
B. OtherLearningResources DepEdTV Channel Gen Math ActivitySheet Gen Math ActivitySheet
IV.PROCEDURES
A. Reviewingpreviouslesson
or presentingthe newlesson
Let’srecall!
Whichof the followingis
an example of rational
function?
Findthe domainand
range of the functions.
Let the studentshave a
reviewonthe Rational
equation,solutionto
rational equations,
rational functions,
rational inequalities,and
solutiontorational
inequalitiesthrough
MATCH And SOLVE!
B. Establishingapurpose for
the lesson
Let the learnersanswer
the activityentitle I-
connectMO!
How wasthe activity?
In thislesson,youwill
knowhowto identify
intercepts,zeroes,and
asymptotesof rational
function.
Presenttothe learnersa
situationwhereinthey
needtocome upa
functiontosolve the
problem.
C. Presenting
Examples/instancesof the
new lesson
Togetherwiththe
learners,define and
illustrate the following:
Intercept,x-intercept,y
intercept,zeroesof a
function,asymptote,
vertical,horizontal,
oblique/slant
asymptotes.
Usingthe problem
presentedearlier, Let
themanswerthe
processingquestions.
D. Discussingnewconcepts
and practicingnewskills#1
Discusshowto findthe
interceptsandzeroesof
rational function.
Provide illustrative
examplesonhowto
solve problemsinvolving

3. MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
rational equation.
E. Discussingnew concepts
and practicingnewskills#2
Discusshowto
determine the
asymptotesof rational
function.
Discusshowto determine
the asymptotesof rational
function.
Provide illustrative
examplesonhowto
solve problemsinvolving
rational functionand
Rational inequalities.
Provide illustrative
examplesonhowtosolve
problemsinvolving
rational functionand
Rational inequalities.
F. Developingmastery(Leads
to Formative Assessment3)
Giventhe rational
function𝑓(𝑥) =
2𝑥+6
𝑥−3
,
answerthe following
questions:
1. What are the two
functionsusedtoform
the rational function?
2. What is the x-
interceptof the
function?Which
functiondidyouuse to
determine the x-
intercept?Why?
3. What is the y –
interceptof the
function?Howdidyou
getthe y – intercept?
4. What is the zeroof
the function?
Determine the vertical
and horizontal asymptotes
of the followingrational
functions.Dothisinpairs.
1. 𝑓(𝑥) =
2
2𝑥+5
2. 𝑓(𝑥) =
𝑥+3
𝑥+7
Solve the following
problems:
1. A Garden Plot
Vincentisa farmer.He
lovestoplant
vegetables.He found
that the area of
hisrectangulargardenis
200 square meters.Letx
representthe widthof
hisgardenin meters,
expressthe lengthof the
gardenL as a functionof
widthx.
2. TriangularKite
Marco has a triangular
kite.The area of the kite
is320 square
centimetres.
Let x representthe
heightof the kite in
centimetres,expressthe
base of the
kite (B) as a functionof
heightx.
Solve the following
problems:
1. Volume of a Box
A box witha square base
has a volume of 27 cubic
inches.If 𝑥 isthe length
of itsedge and ℎ isthe
heightof the box.What
are the possible
measurementof itsedge
if the heightshouldbe
longerthanthe edge?
2. Who am I?
I am thinkingof a number,
the sum of twice a
numberand8 dividedby
12 is greaterthanor equal
to 4. Findthe
number/numbers.
G. Findingpractical
applicationsof conceptsand
skillsindailyliving
Le the learnersfind
practical applicationof
the lessoninreal life.
Le the learnersfind
practical applicationof the
lessoninreal life.
Le the learnersfind
practical applicationof
the lessoninreal life.
Le the learnersfind
practical applicationof the
lessoninreal life.
H. Making Generalizations
and abstractionsabout the
lesson
1. How do we findthe x-
and y-interceptsof
rational function?
How dowe findthe
asymptotesof rational
functions?
How dowe solve
problemsinvolving
rational equations,
How dowe solve
problemsinvolving
rational equations,

4. MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
2. How do we findthe
zeroof rational
function?
3. How do we findthe
asymptotesof rational
functions?
rational functions,and
rational inequalities?
rational functions,and
rational inequalities?
I. EvaluatingLearning
Complete the table
belowbygivingthe
interceptsandzeroesof
the rational function.
1. 𝑓(𝑥) =
𝑥−9
𝑥+3
2. 𝑓(𝑥) =
𝑥2−10𝑥+25
𝑥+5
3. 𝑓(𝑥) =
𝑥2+9
𝑥2−3
Determine the vertical
and horizontal asymptotes
of the followingrational
functions.
1. 𝑓(𝑥) =
(𝑥+3)(𝑥−2)
(𝑥+5)(𝑥−4)
2. 𝑔(𝑥) =
2+3𝑥
𝑥2+3𝑥−4
3. 𝑔(𝑥) =
𝑥−3
2𝑥2−8
Paintmy Wall
Analizacanpainta room
in3 hours.Leobencan
do itin 2 hours.Walter
can do the paintingjob
in5 hours.If all of them
workedtogether,how
longwill ittake themto
paintthe room?
Let the studentsanswer
the WrittenWorks No.3.
J. AdditionalActivitiesfor
applicationof remediation
None None None None None
V. Remarks
VI. REFLECTION
A. No.of learnerswhoearned
80% inthe evaluation
B. No of learnerswhorequire
additional activitiesfor
remediationwhoscored
below80%
C. Didthe remedial lessons
work?No.of learnerswho
have caught up withthe
lesson
D. No.of learnerswho
continue torequire
remediation
E. Which of my teaching
strategiesworkedwell?Why
didthiswork
F. What difficultiesdidI
encounterwhichmyprincipal

5. MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
or supervisorcanhelpme
solve?
G. What innovationor
localizedmaterialsdidI
used/discoverwhichIwishto
share withotherteachers?
Preparedby: Checkedby: Monitoredby:
JOY R. MENDOZA MIKE D. DACASIN,EdD REDENTOR B. AQUINO,EdD JEROME S. PARAS, EdD
TeacherIII Principal I EPS In-change inMathematics MonitoringAreaSupervisor