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DLL_week5_Gen Math_4 Days_JOY.docx
This document outlines the daily lesson plan for a Grade 11 General Mathematics class taught from September 19-23, 2022. The lessons focus on rational functions and cover key concepts such as intercepts, zeroes, asymptotes, and solving problems involving rational functions, equations, and inequalities. Each day's objectives, content, learning activities, examples, and assessments are detailed. The teacher evaluates students' mastery and identifies areas for remediation or enrichment.
DLL_week5_Gen Math_4 Days_JOY.docx
- 1. DAILY LESSON LOG School ALIBENGNATIONALHS 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 WEDNESDAYTHURSDAY 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 WEDNESDAYTHURSDAY 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 WEDNESDAYTHURSDAY 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 WEDNESDAYTHURSDAY 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