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4572012573000DAILY LESSON LOGSchoolDon Enrique Lopez National High SchoolGrade Level10TeacherJamin L. ColicotLearning AreaMathematicsTeaching Dates & TimeJuly 23 – 27, 2018 10:45 – 11:45 AMQuarterIMondayTuesdayWednesdayThursdayFridayI. OBJECTIVES A. Content StandardsThe learner demonstrates understanding of key concepts of sequences. B. Performance StandardsThe learner is able to formulate and solve problems involving sequences in different disciplines through appropriate and accurate representations. C. Learning Competencies / Objectivesillustrate other types of sequences like harmonic sequence and Fibonacci sequenceillustrate polynomial expressionsperform long division and synthetic division on polynomials.II. CONTENTOther Types of Sequences Polynomial ExpressionsDivision of PolynomialsIII. LEARNING RESOURCES A. References 1. Teacher’s Guide pagesp 26pp. 47 - 53pp. 47 - 53 2. Learner’s Materials pagespp 37 - 39pp. 57 - 69pp. 57 - 69 3. Textbook pages 4. Additional Materials from Learning Resource (LR) portal B. Other Learning ResourcesIV. PROCEDURES A. Reviewing previous lesson or presenting the new lessonLet the students recall the definition and give examples of arithmetic and geometric sequences. Let the students recall the definition and give examples of harmonic sequence. Have a short recall about the previous topic.Review on how to find the quotient of real numbers. B. Establishing a purpose for the lessonLet the students present their responses/answers to the given activity.Let the students present their responses/answers to the given activity. Present two sets of expressions. Set A composes of polynomial expressions while set B composes of expressions which are not polynomial. Let the students compare and contrast the given sets of expressions.Have a review on dividing monomials bay discussing the laws of exponent. C. Presenting examples/instances of the new lessonActivity 7: How Well Do You Know Me? In this activity, students will determine whether the sequences arithmetic, geometric or neither.Present two sets of sequences. Set A is a set of harmonic sequence while set B is a set of Fibonacci sequence. Let the students compare the sequences given.Let the students present their observations on the given sets of expressions.Activity 2: Divide and Write D. Discussing new concepts and practicing new skills #1Discuss the definition of harmonic sequence and presents examples.Discuss the definition of Fibonnaci sequence and presents examples.Discuss the definition of polynomial expressions.Present illustrative example 1 in dividing polynomial using long method. E. Discussing new concepts and practicing new skills #2Present illustrative examples where the problems involve finding nth terms of harmonic sequence.Present illustrative examples where the problems involve finding nth terms of Fibonacci sequence.Present and discuss examples of polynomial expressions.Present illustrative example 2 in dividing polynomial using long method. F. Developing mastery (Leads to Formative Assessment)Have a practice drill by giving the students lots of problems to be solved.Activity 1: Spot the Difference Identify the expression that is not a polynomial from each.Give other examples which are similar to the discussed illustrative examples. G. Finding practical applications of concepts and skills in daily livingLet the students give some real-life situation that manifested geometric means.Pose a real – life problem that can be solved applying the concept of Fibonacci sequence. H. Making generalizations and abstractions about the lesson.Let the students generalize the lesson/activity.Let the students generalize the lesson/activity.Let the students generalize the lesson/activity.Let the students generalize the lesson/activity. I. Evaluating learningProblem – solving assessmentActivity 8: Do you remember me? Let the students list down 10 examples of polynomial expressions.Activity 3: Divide and Write it in Form Let the students perform the indicated division. J. Additional activities for application or remediation V. REMARKSMathematics 10 is taken only for four (4) times a week with one (1 hr) per meeting. Friday is a non-meeting day with the class.VI. REFLECTION A. No. of learners who earned 80% in the evaluation B. No. of learners who require additional activities for remediation C. Did the remedial lessons work? No. of learners who have caught up with the lesson D. No. of learners who continue to require remediation. E. Which of my teaching strategies worked well? Why did these work? F. What difficulties did I encounter which my principal or supervisor can help me solve? G. What innovation or localized materials did I use/discover which I wish to share with other teachers?Checked by:JESSICA M. LUMAPASPrincipal I ................
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