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GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: TEACHER: TEACHING DATES & TIME: MONDAY I. OBJECTIVES Demonstrates understanding of key concepts of linear equations in two variables B. Performance Standards: Is able to formulate real life problems involving linear equations in two variables Objectives: Write the LC code for each At the end of the period, at least 75% of the students will to: TUESDAY WEDNESDAY EIGHT (8) MATHEMATICS 8 SECOND QUARTER THURSDAY FRIDAY Objective 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 maybe done for developing content knowledge and competencies. These are using Formatives Assessment Strategies. Valuing objectives support the learning of content and competencies and enable children to find significance and joy in learning the lesson. Weekly objectives shall be derived from the curriculum guide. A. Content Standards: C. Learning Competencies/ Four Times Per Week GRADE LEVEL: LEARNING AREA: QUARTER: Describes the graph of linear equation in terms of its intercepts and slope Demonstrate understanding of the key concepts of linear equations in two variables Is able to formulate problems involving linear equations in two variables Demonstrate understanding Demonstrate of the key concepts of linear understanding of the equations in two variables key concepts of linear equations in two variables Is able to formulate problems Is able to formulate involving linear equations in problems involving two variables and solve these linear equations in two problems accurately using a variables variety of strategies 1.finds the equation 1. finds the equation of a line 1.finds the equation of of a line given the slope and a point a line given the slope of two given and its intercepts points. Demonstrate understanding of the key concepts of linear equations in two variables Is able to formulate problems involving linear equations in two variables Solve problems involving linear equation in two variables 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 in a week or two. II. CONTENT III. LEARNING RESOURCES Algebra List the materials to be used in different days. Varied resources of materials sustain children’s interest in the lesson an 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. A. References 1. Teacher’s Guide Pages 2. Learner’s Materials Pages 3. Text book Pages 4. Additional Materials from Learning resources(LR)Portal B. Other Learning Resources 187 - 188 194 - 195 193 - 194 192 - 193 197 - 199 Graphing papers, ruler and pencil Math Learner’s Module Math Learner’s Module Math Learner’s Module Math Learner’s Module GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: TEACHER: TEACHING DATES & TIME: MONDAY Four Times Per Week TUESDAY WEDNESDAY GRADE LEVEL: LEARNING AREA: QUARTER: EIGHT (8) MATHEMATICS 8 SECOND QUARTER THURSDAY FRIDAY IV PROCEDURES These steps should be done across the week. Spread out the activities appropriately so that the students will learn will learn well. Always be guided by demonstration of learning the by the students which you can infer from formative assessment activities. Sustain learning systematically by providing the students with multiple ways to learn new things, practice their learning, question their learning processes and draw conclusion about what they learned in relation to their life experiences and previous knowledge. Indicate the time allotment for each step. A. Reviewing Previous Lesson or Presenting New Lesson Graphs linear equation given any two points B. Establishing a Purpose for the Lesson Graph linear equation using slope and y intercepts Give a linear equation and identify the slope and the y intercept of the equation Discuss the methods of graphing linear equation using the slope and y intercepts C. Presenting Examples/Instances of the Lesson D. Discussing New Concepts and Practicing New Skills#1 Write the steps in graphing linear equations using the different methods Finding the equation of the line using the two points Find the equation of the line that passes through the pairs of two points Recall on finding equation of a line given two points Perform the activity that enable to find the equation of a line using slope intercept form Perform the activity 19 on page 198 that enable to solve problems by following the steps Finding equation of a line Finding equation of a Solving Problems using a slope and a point line using slope involving linear intercept form equations in two variables Give an illustrative example Give an illustrative Discuss the given of finding equation of a line example of finding problem with given a slope and a point equation of a line using illustration slope intercept form Discuss the formula of two point form Discuss the formula of point Discuss the formula of slope form slope intercept form Answer the guide question on page 197 GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: TEACHER: TEACHING DATES & TIME: MONDAY Four Times Per Week TUESDAY WEDNESDAY GRADE LEVEL: LEARNING AREA: QUARTER: EIGHT (8) MATHEMATICS 8 SECOND QUARTER THURSDAY FRIDAY IV PROCEDURES These steps should be done across the week. Spread out the activities appropriately so that the students will learn will learn well. Always be guided by demonstration of learning the by the students which you can infer from formative assessment activities. Sustain learning systematically by providing the students with multiple ways to learn new things, practice their learning, question their learning processes and draw conclusion about what they learned in relation to their life experiences and previous knowledge. Indicate the time allotment for each step. E. Discussing New Concepts and Practicing New Skills#2 Given the linear equation, identify the slope and the y intercept then plot Graph each linear equation ,given the slope and y intercept Illustrate the given example of finding equation using two point form recall the formula of the slope Illustrate the given example Determine the slopes of point slope form and y intercepts of the given equation of a line Perform the activity on Give more exercises on page 194 finding equation of a line using slope intercept form Draw a graph of linear equation and describe slope and y intercept Differentiate the point slope form and two point slope form Practice skills on problem solving on finding equation of a line F. Developing Mastery (Leads To Formative Assessment 3) G. Finding Practical Application of Concepts and Skills in Daily Living Answering worksheets Solve more problems by showing solutions and graphs Recall on translating mathematical phrases and sentences to mathematical symbol Formulate a word problem involving linear equations then solve GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: TEACHER: TEACHING DATES & TIME: MONDAY IV PROCEDURES H. Making Generalization and Abstractions about the lesson I. Evaluating Learning J. Additional Activities for Application or Remediation VI- REMARKS Four Times Per Week TUESDAY WEDNESDAY GRADE LEVEL: LEARNING AREA: QUARTER: THURSDAY EIGHT (8) MATHEMATICS 8 SECOND QUARTER FRIDAY These steps should be done across the week. Spread out the activities appropriately so that the students will learn will learn well. Always be guided by demonstration of learning the by the students which you can infer from formative assessment activities. Sustain learning systematically by providing the students with multiple ways to learn new things, practice their learning, question their learning processes and draw conclusion about what they learned in relation to their life experiences and previous knowledge. Indicate the time allotment for each step. GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: TEACHER: TEACHING DATES & TIME: MONDAY IV PROCEDURES VII - REFLECTION A. No. of learners who earned 80% in the evaluation B. No. of learners who required additional activities for remediation C. Did the remedial lessons work? D. No. of learners who continue to require remediation E. Which of my teaching strategies work well? Why did this 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? Four Times Per Week TUESDAY WEDNESDAY GRADE LEVEL: LEARNING AREA: QUARTER: THURSDAY EIGHT (8) MATHEMATICS 8 SECOND GRADING FRIDAY These steps should be done across the week. Spread out the activities appropriately so that the students will learn will learn well. Always be guided by demonstration of learning the by the students which you can infer from formative assessment activities. Sustain learning systematically by providing the students with multiple ways to learn new things, practice their learning, question their learning processes and draw conclusion about what they learned in relation to their life experiences and previous knowledge. Indicate the time allotment for each step. GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: TEACHER: TEACHING DATES & TIME: MONDAY I. OBJECTIVES Four Times Per Week TUESDAY WEDNESDAY GRADE LEVEL: LEARNING AREA: QUARTER: EIGHT (8) MATHEMATICS 8 SECOND GRADING THURSDAY FRIDAY Objective 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 maybe done for developing content knowledge and competencies. These are using Formatives Assessment Strategies. Valuing objectives support the learning of content and competencies and enable children to find significance and joy in learning the lesson. Weekly objectives shall be derived from the curriculum guide. A. Content Standards: Demonstrates understanding of key concepts of systems of linear equations in two variables B. Performance Standards: Is able to formulate real life problems involving systems of linear equations in two variables C. Learning Competencies/ Solves a system of linear Objectives: Write the LC equations by elimination code for each At the end of the period, at least 75% of the students will to: Demonstrate understanding of the key concepts of linear equations in two variables Is able to formulate problems involving system of linear equations in two variables Solve problems involving systems of linear equations in two variables 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 in a week or two. II. CONTENT System of linear System of linear equation equation in two variables in two variables III. LEARNING RESOURCES List the materials to be used in different days. Varied resources of materials sustain children’s interest in the lesson an 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. A. References 5. Teacher’s Guide Pages 6. Learner’s Materials Pages 7. Text book Pages 8. Additional Materials from Learning resources(LR)Portal B. Other Learning Resources 280 -281 285 - 286 Math Learner’s module Math Learner’s Module GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: TEACHER: TEACHING DATES & TIME: MONDAY Four Times Per Week TUESDAY WEDNESDAY GRADE LEVEL: LEARNING AREA: QUARTER: THURSDAY EIGHT (8) MATHEMATICS 8 SECOND GRADING FRIDAY IV PROCEDURES These steps should be done across the week. Spread out the activities appropriately so that the students will learn will learn well. Always be guided by demonstration of learning the by the students which you can infer from formative assessment activities. Sustain learning systematically by providing the students with multiple ways to learn new things, practice their learning, question their learning processes and draw conclusion about what they learned in relation to their life experiences and previous knowledge. Indicate the time allotment for each step. H. Reviewing Previous Lesson or Presenting New Lesson Calculating unknown values of mathematical expression Finding the solution of the systems of linear equation in two variables by elimination Determine whether an ordered pair is a solution of the given system I. Establishing a Purpose for the Lesson J. Presenting Examples/Instances of the Lesson K. Discussing New Concepts and Practicing New Skills#1 Explaining how to obtain the solution by elimination Recall on solving systems of linear equation by any algebraic method Solving real life problems involving systems of linear equation in two variables Illustrating mathematical concept previously learned through illustration made Explain how to check or verify results obtain GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: TEACHER: TEACHING DATES & TIME: MONDAY Four Times Per Week TUESDAY WEDNESDAY LEARNING AREA: QUARTER: THURSDAY MATHEMATICS 8 SECOND GRADING FRIDAY IV PROCEDURES These steps should be done across the week. Spread out the activities appropriately so that the students will learn will learn well. Always be guided by demonstration of learning the by the students which you can infer from formative assessment activities. Sustain learning systematically by providing the students with multiple ways to learn new things, practice their learning, question their learning processes and draw conclusion about what they learned in relation to their life experiences and previous knowledge. Indicate the time allotment for each step. L. Discussing New Concepts and Practicing New Skills#2 Find the solution the solution set of the systems by elimination M. Developing Mastery (Leads To Formative Assessment 3) Describing the solution set of the system of linear equation in two variables by elimination Explaining why solving systems of linear equation, have one solution or infinite number of solutions N. Finding Practical Application of Concepts and Skills in Daily Living Formulation and solving problems involving linear equations in two variables Citing situations involving linear equations in two variables Describing the advantages and disadvantages of using different methods of solving systems of linear equations GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: TEACHER: TEACHING DATES & TIME: MONDAY IV PROCEDURES H. Making Generalization and Abstractions about the lesson I. Evaluating Learning J. Additional Activities for Application or Remediation VI- REMARKS Four Times Per Week TUESDAY WEDNESDAY GRADE LEVEL: LEARNING AREA: QUARTER: THURSDAY EIGHT (8) MATHEMATICS 8 SECOND GRADING FRIDAY These steps should be done across the week. Spread out the activities appropriately so that the students will learn will learn well. Always be guided by demonstration of learning the by the students which you can infer from formative assessment activities. Sustain learning systematically by providing the students with multiple ways to learn new things, practice their learning, question their learning processes and draw conclusion about what they learned in relation to their life experiences and previous knowledge. Indicate the time allotment for each step. GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: TEACHER: TEACHING DATES & TIME: MONDAY IV PROCEDURES VII - REFLECTION A. No. of learners who earned 80% in the evaluation B. No. of learners who required additional activities for remediation C. Did the remedial lessons work? D. No. of learners who continue to require remediation E. Which of my teaching strategies work well? Why did this 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? Four Times Per Week TUESDAY WEDNESDAY GRADE LEVEL: LEARNING AREA: QUARTER: THURSDAY EIGHT (8) MATHEMATICS 8 SECOND GRADING FRIDAY These steps should be done across the week. Spread out the activities appropriately so that the students will learn will learn well. Always be guided by demonstration of learning the by the students which you can infer from formative assessment activities. Sustain learning systematically by providing the students with multiple ways to learn new things, practice their learning, question their learning processes and draw conclusion about what they learned in relation to their life experiences and previous knowledge. Indicate the time allotment for each step. GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: TEACHER: TEACHING DATES & TIME: MONDAY I. OBJECTIVES Four Times Per Week TUESDAY WEDNESDAY GRADE LEVEL: LEARNING AREA: QUARTER: EIGHT (8) MATHEMATICS 8 SECOND QUARTER THURSDAY FRIDAY Objective 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 maybe done for developing content knowledge and competencies. These are using Formatives Assessment Strategies. Valuing objectives support the learning of content and competencies and enable children to find significance and joy in learning the lesson. Weekly objectives shall be derived from the curriculum guide. A. Content Standards: Demonstrates understanding of key concepts of systems of linear equations in two variables B. Performance Standards: Is able to formulate real life problems involving systems of linear equations in two variables C. Learning Competencies/ Illustrate systems of Objectives: Write the LC linear equations in two code for each At the end of the period, at least variables Demonstrate understanding of the key concepts of linear equations in two variables Is able to formulate problems involving system of linear equations in two variables Graphs a system of linear equation in two variables 75% of the students will to: Demonstrate understanding of the key concepts of linear equations in two variables Is able to formulate problems involving linear equations in two variables and solve these problems accurately using a variety of strategies Categorizes when a given system of linear equation in two variables has graphs that are parallel, intersecting and coinciding Demonstrate understanding of the key concepts of linear equations in two variables Is able to formulate problems involving linear equations in two variables Demonstrate understanding of the key concepts of linear equations in two variables Is able to formulate problems involving linear equations in two variables Solves a system of linear equations in two variables Solves a system of linear equations in two variables by substitution 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 in a week or two. II. CONTENT System of linear equation in two variables III. LEARNING RESOURCES List the materials to be used in different days. Varied resources of materials sustain children’s interest in the lesson an 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. System of linear equation in two variables Systems of linear equation in two variables Solving systems of linear equation in two variables Systems of linear equations solved by substitution A. References 9. Teacher’s Guide Pages 10. Learner’s Materials Pages 253 - 255 256- 257 257 - 259 268 - 271 272- 274 Graphing papers, ruler and pencil Math Learner’s Module Math Learner’s Module Math Learner’s Module Math Learner’s Module 11. Text book Pages 12. Additional Materials from Learning resources(LR)Portal B. Other Learning Resources GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: TEACHER: TEACHING DATES & TIME: MONDAY Four Times Per Week TUESDAY WEDNESDAY GRADE LEVEL: LEARNING AREA: QUARTER: EIGHT (8) MATHEMATICS 8 SECOND GRADING THURSDAY FRIDAY IV PROCEDURES These steps should be done across the week. Spread out the activities appropriately so that the students will learn will learn well. Always be guided by demonstration of learning the by the students which you can infer from formative assessment activities. Sustain learning systematically by providing the students with multiple ways to learn new things, practice their learning, question their learning processes and draw conclusion about what they learned in relation to their life experiences and previous knowledge. Indicate the time allotment for each step. O. Reviewing Previous Lesson or Presenting New Lesson Draw the graph of the linear equation in a Cartesian plane Graph each pair of linear equation P. Establishing a Purpose for the Lesson Describe the graphs of two linear equations in the same coordinate plane Perform activity 2 on page 254 Describe the graph Categorize the given system Solving systems of of each pair of of linear equation linear equation by linear equation graphing Q. Presenting Examples/Instances of the Lesson R. Discussing New Concepts and Practicing New Skills#1 Give more exercises on graphing systems of linear equation Discuss the answers Determine the of the follow up systems when two questions in the lines intersect activity Illustrate the different systems of linear equation Determine whether each system of linear equations is consistent, dependent or inconsistent Perform activity 3 on page 258 Perform the activity 1 on page 268 and answer the guide questions Perform the activity 3 on page 271 that enable to solve problems by following the steps Solving Problems involving linear equations in two variables Recall on graphing using slope intercept form Discuss the given problem with illustration Give an illustrative example Follow procedures in solving system by substitution GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: TEACHER: TEACHING DATES & TIME: MONDAY Four Times Per Week TUESDAY WEDNESDAY GRADE LEVEL: LEARNING AREA: QUARTER: EIGHT (8) MATHEMATICS 8 SECOND QUARTER THURSDAY FRIDAY IV PROCEDURES These steps should be done across the week. Spread out the activities appropriately so that the students will learn will learn well. Always be guided by demonstration of learning the by the students which you can infer from formative assessment activities. Sustain learning systematically by providing the students with multiple ways to learn new things, practice their learning, question their learning processes and draw conclusion about what they learned in relation to their life experiences and previous knowledge. Indicate the time allotment for each step. S. Discussing New Concepts and Practicing New Skills#2 Read and understand some important note on systems of linear equation Differentiate the three systems of linear equations T. Developing Mastery (Leads To Formative Assessment 3) U. Finding Practical Application of Concepts and Skills in Daily Living Determine the system when two lines do not intersect Differentiate the slopes of the two systems when two lines intersect and do not intersect Compare the slopes Represent of the lines defined problems systems by linear equation of linear equation that involves finding values of two quantities Graph the system and tell whether each is consistent, dependent or inconsistent Determine the system of linear equation through slopes and y intercepts Do the activity in the worksheets Discuss the concept of finding solution of system of linear equation in the intersecting point Draw the graphs of each system and give the coordinates of the point of intersection Solve more problems by showing solutions and graphs Compare the method of solving systems by graphing and substitution Solve real life problems Formulate a word using graphing method problem involving system of linear equations then solve GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: TEACHER: TEACHING DATES & TIME: MONDAY IV PROCEDURES H. Making Generalization and Abstractions about the lesson I. Evaluating Learning J. Additional Activities for Application or Remediation VI- REMARKS Four Times Per Week TUESDAY WEDNESDAY GRADE LEVEL: LEARNING AREA: QUARTER: THURSDAY EIGHT (8) MATHEMATICS 8 SECOND GRADING FRIDAY These steps should be done across the week. Spread out the activities appropriately so that the students will learn will learn well. Always be guided by demonstration of learning the by the students which you can infer from formative assessment activities. Sustain learning systematically by providing the students with multiple ways to learn new things, practice their learning, question their learning processes and draw conclusion about what they learned in relation to their life experiences and previous knowledge. Indicate the time allotment for each step. GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: TEACHER: TEACHING DATES & TIME: MONDAY IV PROCEDURES VII - REFLECTION A. No. of learners who earned 80% in the evaluation B. No. of learners who required additional activities for remediation C. Did the remedial lessons work? D. No. of learners who continue to require remediation E. Which of my teaching strategies work well? Why did this 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? Four Times Per Week TUESDAY WEDNESDAY GRADE LEVEL: LEARNING AREA: QUARTER: THURSDAY EIGHT (8) MATHEMATICS 8 SECOND QUARTER FRIDAY These steps should be done across the week. Spread out the activities appropriately so that the students will learn will learn well. Always be guided by demonstration of learning the by the students which you can infer from formative assessment activities. Sustain learning systematically by providing the students with multiple ways to learn new things, practice their learning, question their learning processes and draw conclusion about what they learned in relation to their life experiences and previous knowledge. Indicate the time allotment for each step.