Annex 1B to DepEd Order No. 42, s. 2016 School Teacher Teaching Dates and Week 1 Time GRADES 1 to 12 DAILY LESSON LOG DAY 1 I. OBJECTIVES A. Content Standards B. Performance Standards C. Learning Competencies/ Objectives Write the LC code for each Grade Level 10 Learning Area Mathematics Quarter FIRST QUARTER DAY 2 DAY 3 DAY 4 DAY 5 Objectives must be met over the week and connected to the curriculum standards. To meet the objectives, necessary procedures must be followed and if needed, additional lessons, exercises and remedial activities may be done for developing content knowledge and competencies. There are assessed using Formative Assessment strategies. Valuing objectives support the learning of content and competencies and enable children to find significance and joy in learning the lessons. Weekly objectives shall be derived from the curriculum guides. The learner demonstrates understanding of key concepts of sequences, polynomials and polynomial equations. The learner is able to formulate and solve problems involving sequences, polynomials and polynomial equations in different disciplines through appropriate and accurate representations. LC 1. Generates pattern. LC 1. Generates pattern. LC 1. Generates pattern. LC 1. Generates pattern. (M10AL-Ia-1) (M10AL-Ia-1) (M10AL-Ia-1) (M10AL-Ia-1) 1.1. Define sequence. 1.3. Establish a sequence 1.5. Find the general 1.2. Generate and 1.4. Find the first few or nth term of a describe the patterns terms and next few sequence of a sequence. terms of a sequence. Content is what the lesson is all about. It pertains to the subject matter that the teacher aims to teach. In the CG, the content can be tackled in a week or two. th II. CONTENT III.LEARNING RESOURCES A. References 1. Teacher’s Guide pages 2. Learner’s Materials pages 3. Textbook pages DEFINING AND GENERATING A SEQUENCE ESTABLISHING A SEQUENCE THE GENERAL OR n TERM OF A SEQUENCE GENERATING A SEQUENCE List the materials to be used in different days. Varied sources of materials sustain children’s interest in the lesson and in learning. Ensure that there is a mix of concrete and manipulative materials as well as paper-based materials. Hands-on learning promotes concept development. 14-15 15 15 14 - 16 9 - 10 10-11 10-11 9 - 11 Intermediate Algebra by Soledad Jose-Dilao, pp.178-181 Intermediate Algebra by Soledad Jose-Dilao, p. 181 Exploring Mathematics, by ORLANDO A. ORANCE, et.al pp.482 - 484 Intermediate Algebra by Intermediate Algebra II, Soledad Jose-Dilao, p. 181 by Soledad Jose-Dilao, Exploring Mathematics, et al. page 181 by ORLANDO A. Exploring Mathematics, ORANCE, et.al pp.482 by ORLANDO A. 484 ORANCE, et.al pp.472482 4. Additional Materials from Learning Resource (LR) portal B. Other Learning Resources IV. PROCEDURES A. Reviewing previous lesson or presenting the new lesson B. Establishing a purpose for the lesson DLP Activity Sheet DLP Activity Sheet DLP Activity Sheet DLP Activity Sheet These steps should be done across the wee. Spread out the activities appropriately so that students will learn well. Always be guided by demonstration of learning by the students which you can infer from formative assessment activities. Sustain learning systematically by providing students with multiple ways to learn new things, practice their learning, question their learning processes, and draw conclusions about what they learned in relation to their life experiences and previous knowledge. Indicate the time allotment for each step. MOTIVATION: WHAT’S THE NEXT? THAT’S THE NEXT! Define and generate sequence C. Presenting examples/instan ces of the new lesson Let the students perform activity 1: “What’s next?” LM, page 9 #s 1-3. D. Discussing new concepts and practicing new skills #1 Discuss how the answers of Activity 1 are obtained. Then provide examples and let the students identify the first term and the next term. A simple recall of the previous topic A drill on finding the next few terms Simple recall Give the first few terms of the given nth term and the next few terms of the given sequence by following the order A. Finding the first few terms given the nth term. 1) an =n+4 2) an =2 n−1 Find the equation or formula of the given sequence Determine the required term of the given sequence Since a sequence is an ordered collection of natural numbers, it can be described by an equation. Present and discuss on how to write the equation of the sequence 3, 5, 7, 9... Write the equation of the sequences below. 1. 25, 50, 75, 100,... 2. 7, 9,11,13,15, ... Give the next term of the sequence 1. 2, 9, 16, 23, 30, … 2. 81, 27,9, 3, 1 Discuss how to find the first few terms of the sequence given the nth term. Then let the students write the next three terms of the given sequence by following the order. 1. 2, 4, 6, 8, … 2. . 1 3 , 1 5 , 1 7 , Find the next three term of the sequence. 1. 7, 11, 18, 29, 27, … 2. 4x-5, 7x-3, 10x-1, … 1 ,… 9 3. 1, –1,1, –1, 1, –1, … 4. 64, 32, 16, 8, … E. Discussing new concepts and practicing new skills #2 Of the sequences provided in D, let the students describe the pattern. F. Developing mastery (Leads to Formative Assessment 3) Group Activity (Game): Divide the class into 6 groups. Provide a sequence and let each group to answer. The first group who can give the correct answer will receive a corresponding point. G. Finding practical applications of concepts and Let the students cite some instances that knowledge and skills in generating Discuss how to find the next few terms of a given sequence. Group Activity: Provide each group a sequence and give them 2 minutes to answer. 1. Find the first five terms of the sequence whose n nth term is an =(−2 ) 2. By following the order write the next three terms in the sequence x – 1 , 2 x – 2 , 3x – 3 , 4 x – 4, … . A. Find the first five terms of the sequence given the nth term. 1. an =12−3 n 2. an =3n B. Find the required term of the following sequences. 1. next four terms of 2, 9,16, 23. 2. next three terms of 1, -1, 1, -1 4. next two terms of 1 3 ,1 , , 2 2 2 Write the equation of the sequence 1 1 1 , , , 2 3 4 1 , ... 5 Write the equation that describe the sequence. 1. 3, 7, 11, 15, … 2. 0, -4, -8, -12, … 3. 1, 2, 4, 8, … Write the equation of the sequences 1. 8, 16, 32, 64, . . . 7 13 19 25 , , , ,… 2. 2 2 2 2 A. Supply the missing term. 1. , 9, 14, 19 2. 3, 8, , 24, 35 ¿ 3. 1, 3 , 2 , 5 ,¿ 2 1 2 B. Find the general term of the given sequence. 1. 3, 6, 9, 12,... 2. -1, -3, -5, -7,... 3 2 5 3. 1, , , ,… 2 1 2 skills in daily living H. Making generalizations and abstractions about the lesson I. Evaluating learning sequence can be applied. Let them justify their answers. How will you define How can we find the first How can the general or nth sequence? few terms of a sequence? term of a sequence be How will you describe the How can we find the next found? pattern of a sequence? few terms of a given How will you generate sequence? sequence? Let the students answer: A. Find the required number A. Perform Act.3:Getting A. Activity 1: What’s of terms of the sequence to Know You, LM, p.11 next? #s 4-5 of LM, given the nth term. B. Find the nth term of page. 10. 1) first five terms of each sequence. an =2 n−4 B. Activity 5, page 1. 3, 4, 5, 6, 7,... 2) first three terms of 1 1 1 1 13 of LM , , 2. 1, ,... an = n+1 2 2 3 4 3. 2, 4, 8, 16, ... B. Find the required term of 4. -1, 1, -1, 1, ... the following sequences. 1. next four terms of 2, 9, 16, 23. 2. next three terms of -3, -1, 3, 5,... 3. next two terms of 3 5 79 , , 2 2 22 How can we determine the required term of the given sequence? Perform odd numders of Activity 6:”What is Missing? “, page 14 of LM. J. Additional activities for application or remediation V. REMARKS VI. REFLECTION A. No. of learners who earned 80% Reflect on your teaching and assess yourself as a teacher. Think about your students’ progress this week. What works? What else needs to be done to help the students learn? Identify what help your instructional supervisors can provide for you so when you must meet them, you can ask them relevant questions. 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 in 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 used/discover which I wish to share with other teachers?