- 1. GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: GRADE LEVEL: EIGHT (8) TEACHER: LEARNING AREA: MATHEMATICS 8 TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND QUARTER A. Content Standards: Demonstrates understanding of key concepts of linear equations in two variables Demonstrate understanding of the key concepts of linear equations in two variables Demonstrateunderstanding of the key concepts of linear equations in two variables Demonstrate understanding of the key concepts of linear equations in two variables Demonstrate understanding of the key concepts of linear equations in two variables B. Performance Standards: Is able to formulate real life problems involving linear equations in two variables Is able to formulate problems involving linear equations in two variables Is able to formulate problems involving linear equations in two variables and solvethese problems accurately using a variety of strategies Is able to formulate problems involving linear equations in two variables Is able to formulate problems involving linear equations in two variables C. LearningCompetencies/ Objectives: Write the LC code for each At the end of the period, at least 75% of the students will to: Describes the graph of linear equation in terms of its intercepts and slope 1.finds the equation of a line of two given points. 1. finds the equation of a line given the slope and a point 1.finds the equation of a line given the slope and its intercepts Solve problems involving linear equation in two variables II. CONTENT Content is whatthe lesson is all about.Itpertains to the subjectmatter that the teacher aims to teach. In the CG, the content in a week or two. Algebra III. LEARNING RESOURCES Listthe materials to be used in different days.Varied resources of materials sustain children’s interestin the lesson an i n learning.Ensurethat there is a mix of concrete and manipulativematerialsas well as paper-based materials.Hands-on learningpromotes concept development. A. References 1. Teacher’s Guide Pages 2. Learner’s Materials Pages 187 - 188 194 - 195 193 - 194 192 - 193 197 - 199 3. Text book Pages I. OBJECTIVES MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY Objective over the week and connected to the curriculumstandards.To meet the objectives, necessary procedures must be followed and if needed, additional lessons exercises and remedial activities maybedone for developing content knowledge and competencies. These are usingFormatives AssessmentStrategies. Valuingobjectives supportthe learningof content and competencies and enablechildren to find significanceand joy in learningthelesson.Weekly objectives shall bederived from the curriculumguide.
- 2. 4. Additional Materials from Learning resources(LR)Portal Graphing papers, ruler and pencil Math Learner’s Module Math Learner’s Module Math Learner’s Module Math Learner’s Module B. OtherLearningResources GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: GRADE LEVEL: EIGHT (8) TEACHER: LEARNING AREA: MATHEMATICS 8 TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND QUARTER A. Reviewing Previous Lesson or Presenting New Lesson Graphs linear equation given any two points Write the steps in graphing linear equations using the different methods Recall on finding equation of a line given two points Performthe activity that enable to find the equation of a line using slope intercept form Performthe activity 19 on page 198 that enable to solveproblems by following the steps B. Establishing a Purpose for the Lesson Graph linear equation using slope and y intercepts Finding the equation of the line using the two points Finding equation of a line using a slope and a point Finding equation of a line using slope intercept form Solving Problems involving linear equations in two variables C. Presenting Examples/Instances of the Lesson Give a linear equation and identify the slope and the y intercept of the equation Find the equation of the line that passes through the pairs of two points Give an illustrative example of finding equation of a line given a slope and a point Give an illustrative example of finding equation of a line using slope intercept form Discuss thegiven problem with illustration D. Discussing New Concepts and Practicing New Skills#1 Discuss the methods of graphing linear Discuss the formula of two point form Discuss theformula of point slope form Discuss theformula of slope intercept form Answer the guide question on page 197 IV PROCEDURES MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY These steps should be done across the week. Spread out the activities appropriately so thatthe students will learn will learn well.Always beguided by demonstration of learning the by the students which you can infer from formative assessmentactivities.Sustain learning systematically by providingthestudents with multipleways to learn new things,practicetheir learning,question their learningprocesses and drawconclusion about whatthey learned in relation to their lifeexperiences and previous knowledge. Indicatethe time allotment for each step.
- 3. equation using the slope and y intercepts GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: GRADE LEVEL: EIGHT (8) TEACHER: LEARNING AREA: MATHEMATICS 8 TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND QUARTER E. Discussing New Concepts and Practicing New Skills#2 Given the linear equation, identify the slopeand the y intercept then plot Illustratethe given example of finding equation using two point form Illustratethe given example of point slope form Determine the slopes and y intercepts of the given equation of a line Solve more problems by showing solutions and graphs F. Developing Mastery (Leads To Formative Assessment 3) Graph each linear equation ,given the slope and y intercept recall the formula of the slope Performthe activity on page 194 Give more exercises on finding equation of a line using slope intercept form Recall on translating mathematical phrases and sentences to mathematical symbol G. Finding Practical Application of Concepts and Skills in Daily Living Draw a graph of linear equation and describeslope and y intercept Differentiate the point slope form and two point slope form Practice skills on problem solving on finding equation of a line Answering worksheets Formulate a word problem involving linear equations then solve IV PROCEDURES MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY These steps should be done across the week. Spread out the activities appropriately so thatthe students will learn will learn well.Always beguided by demonstration of learning the by the students which you can infer from formative assessmentactivities.Sustain learningsys tematically by providingthestudents with multipleways to learn new things,practicetheir learning,question their learningprocesses and drawconclusion about whatthey learned in relation to their lifeexperiences and previous knowledge. Indicatethe time allotment for each step.
- 4. GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: GRADE LEVEL: EIGHT (8) TEACHER: LEARNING AREA: MATHEMATICS 8 TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND QUARTER H. Making Generalization and Abstractions about the lesson I. Evaluating Learning J. Additional Activities for Application or Remediation VI- REMARKS IV PROCEDURES MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY These steps should be done across the week. Spread out the activities appropriately so thatthe students will learn will learn well.Always beguided by demonstration of learning the by the students which you can infer from formative assessmentactivities.Sustain learningsystematically by providingthe students with multipleways to learn new things, practicetheir learning,question their learningprocesses and drawconclusion aboutwhatthey learned in relation to their lifeexperiences and previous knowledge. Indicatethe time allotment for each step.
- 5. GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: GRADE LEVEL: EIGHT (8) TEACHER: LEARNING AREA: MATHEMATICS 8 TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND GRADING 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? IV PROCEDURES MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY These steps should be done across the week. Spread out the activities appropriately so thatthe students will learn will learn well.Always beguided by demonstration of learning the by the students which you can infer from formative assessmentactivities.Sustain learningsystematically by providingthe students with multipleways to learn new things, practicetheir learning,question their learningprocesses and drawconclusion aboutwhatthey learned in relation to their lifeexperiences and previous knowledge. Indicatethe time allotment for each step.
- 6. G. What innovation or localized materials did I used/discover which I wish to share with other teachers? GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: GRADE LEVEL: EIGHT (8) TEACHER: LEARNING AREA: MATHEMATICS 8 TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND GRADING A. Content Standards: Demonstrates understanding of key concepts of systems of linear equations in two variables Demonstrate understanding of the key concepts of linear equations in two variables B. Performance Standards: Is able to formulate real life problems involving systems of linear equations in two variables Is able to formulate problems involving systemof linear equations in two variables C. LearningCompetencies/ Objectives: Write the LC code for each At the end of the period, at least 75% of the students will to: Solves a systemof linear equations by elimination Solve problems involving systems of linear equations in two variables II. CONTENT Content is whatthe lesson is all about.Itpertains to the subjectmatter that the teacher aims to teach. In the CG, the content in a week or two. Systemof linear equation in two variables Systemof linear equation in two variables III. LEARNING RESOURCES Listthe materials to be used in different days.Varied resources of materials sustain children’s interestin the lesson an i n learning.Ensurethat there is a mix of concrete and manipulativematerialsas well as paper-based materials.Hands-on learningpromotes concept development. A. References I. OBJECTIVES MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY Objective over the week and connected to the curriculumstandards. To meet the objectives, necessary procedures must be followed and if needed, additional lessons exercises and remedial activities maybedone for developing content knowledge and competencies. These are usingFormatives As sessmentStrategies. Valuingobjectives supportthe learningof content and competencies and enablechildren to find significanceand joy in learningthelesson.Weekly objectives shall bederived from the curriculumguide.
- 7. 5. Teacher’s Guide Pages 6. Learner’s Materials Pages 280 -281 285 - 286 7. Text book Pages 8. Additional Materials from Learning resources(LR)Portal Math Learner’s module Math Learner’s Module B. OtherLearningResources GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: GRADE LEVEL: EIGHT (8) TEACHER: LEARNING AREA: MATHEMATICS 8 TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND GRADING H. Reviewing Previous Lesson or Presenting New Lesson Calculating unknown values of mathematical expression Recall on solving systems of linear equation by any algebraic method I. Establishing a Purpose for the Lesson Finding the solution of the systems of linear equation in two variables by elimination Solving real life problems involving systems of linear equation in two variables J. Presenting Examples/Instances of the Lesson Determine whether an ordered pair is a solution of the given system Illustrating mathematical concept previously learned through illustration made IV PROCEDURES MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY These steps should be done across the week. Spread out the activities appropriately so thatthe students will learn will learn well.Always beguided by demonstration of learning the by the students which you can infer from formative assessmentactivities.Sustain learningsys tematically by providingthestudents with multipleways to learn new things,practicetheir learning,question their learningprocesses and drawconclusion aboutwhatthey learned in relation to their lifeexperiences and previous knowledge. Indicatethe time allotment for each step.
- 8. K. Discussing New Concepts and Practicing New Skills#1 Explaining how to obtain the solution by elimination Explain how to check or verify results obtain GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: TEACHER: LEARNING AREA: MATHEMATICS 8 TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND GRADING L. Discussing New Concepts and Practicing New Skills#2 Find the solution the solution set of the systems by elimination Formulation and solving problems involving linear equations in two variables M. Developing Mastery (Leads To Formative Assessment 3) Describing the solution set of the systemof linear equation in two variables by elimination Citing situations involving linear equations in two variables N. Finding Practical Application of Concepts and Skills in Daily Living Explaining why solving systems of linear equation, have one solution Describing the advantages and disadvantages of using different IV PROCEDURES MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY These steps should be done across the week. Spread out the activities appropriately so thatthe students will learn will learn well.Always beguided by demonstration of learning the by the students which you can infer from formative assessmentactivities.Sustain learningsys tematically by providingthestudents with multipleways to learn new things,practicetheir learning,question their learningprocesses and drawconclusion about whatthey learned in relation to their lifeexperiences and previous knowledge. Indicatethe time allotment for each step.
- 9. or infinite number of solutions methods of solving systems of linear equations GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: GRADE LEVEL: EIGHT (8) TEACHER: LEARNING AREA: MATHEMATICS 8 TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND GRADING H. Making Generalization and Abstractions about the lesson I. Evaluating Learning IV PROCEDURES MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY These steps should be done across the week. Spread out the activities appropriately so thatthe students will learn will learn well.Always beguided by demonstration of learning the by the students which you can infer from formative assessmentactivities.Sustain learningsystematically by providingthe students with multipleways to learn new things, practicetheir learning,question their learningprocesses and drawconclusion aboutwhatthey learned in relation to their lifeexperiences and previous knowledge. Indicatethe time allotment for each step.
- 10. J. Additional Activities for Application or Remediation VI- REMARKS GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: GRADE LEVEL: EIGHT (8) TEACHER: LEARNING AREA: MATHEMATICS 8 TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND GRADING 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? IV PROCEDURES MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY These steps should be done across the week. Spread out the activities appropriately so thatthe students will learn will learn well.Always beguided by demonstration of learning the by the students which you can infer from formative assessmentactivities.Sustain learning systematically by providingthe students with multipleways to learn new things, practicetheir learning,question their learningprocesses and drawconclusion aboutwhatthey learned in relation to their lifeexperiences and previous knowledge. Indicatethe time allotment for each step.
- 11. 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? GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: GRADE LEVEL: EIGHT (8) TEACHER: LEARNING AREA: MATHEMATICS 8 TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND QUARTER A. Content Standards: Demonstrates understanding of key concepts of systems of linear equations in two variables Demonstrate understanding of the key concepts of linear equations in two variables Demonstrate understanding of the key concepts of linear equations in two variables Demonstrate understanding of the key concepts of linear equations in two variables Demonstrate understanding of the key concepts of linear equations in two variables B. Performance Standards: Is able to formulate real life problems involving systems of linear equations in two variables Is able to formulate problems involving system 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 Is able to formulate problems involving linear equations in two variables Is able to formulate problems involving linear equations in two variables C. LearningCompetencies/ Objectives: Write the LC code for each At the end of the period, at least 75% of the students will to: Illustrate systems of linear equations in two variables Graphs a system of linear equation in two variables Categorizes when a given system of linear equation in two variables has graphs that are parallel, intersecting and coinciding Solves a system of linear equations in two variables Solves a system of linear equations in two variables by substitution Content is whatthe lesson is all about.Itpertains to the subjectmatter that the teacher aims to teach. In the CG, the content in a week or two. I. OBJECTIVES MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY Objective over the week and connected to the curriculumstandards.To meet the objectives, necessary procedures must be followed and if needed, additional lessons exercises and remedial activities maybedone for developing content knowledge and competencies. These are usingFormatives As sessmentStrategies. Valuingobjectives supportthe learningof content and competencies and enablechildren to find significanceand joy in learningthelesson.Weekly objectives shall bederived from the curriculumguide.
- 12. II. CONTENT System of linear equation in two variables 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 III. LEARNING RESOURCES Listthe materials to be used in different days.Varied resources of materials sustain children’s interestin the lesson an in learning.Ensurethat there is a mix of concrete and manipulativematerialsas well as paper-based materials.Hands-on learningpromotes concept development. A. References 9. Teacher’s Guide Pages 10. Learner’s Materials Pages 253 - 255 256- 257 257 - 259 268 - 271 272- 274 11. Text book Pages 12. Additional Materials from Learning resources(LR)Portal Graphing papers, ruler and pencil Math Learner’s Module Math Learner’s Module Math Learner’s Module Math Learner’s Module B. OtherLearningResources GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: GRADE LEVEL: EIGHT (8) TEACHER: LEARNING AREA: MATHEMATICS 8 TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND GRADING 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 Illustratethe different systems of linear equation Performthe activity 1 on page 268 and answer the guide questions Performthe activity 3 on page 271 that enable to solveproblems by following the steps P. Establishing a Purpose for the Lesson Describethe graphs of two linear equations in the Describethe graph of each pair of linear equation Categorize the given systemof linear equation Solving systems of linear equation by graphing Solving Problems involving linear equations in two variables IV PROCEDURES MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY These steps should be done across the week. Spread out the activities appropriately so thatthe students will learn will learn well.Always beguided by demonstration of learning the by the students which you can infer from formative assessmentactivities.Sustain learningsystematically by providingthestudents with multipleways to learn new things,practicetheir learning,question their learningprocesses and drawconclusion aboutwhatthey learned in relation to their lifeexperiences and previous knowledge. Indicatethe time allotment for each step.
- 13. same coordinate plane Q. Presenting Examples/Instances of the Lesson Performactivity 2 on page 254 Give more exercises on graphing systems of linear equation Determine whether each systemof linear equations is consistent, dependent or inconsistent Recall on graphing using slope intercept form Discuss thegiven problem with illustration R. Discussing New Concepts and Practicing New Skills#1 Discuss the answers of the follow up questions in the activity Determine the systems when two lines intersect Performactivity 3 on page 258 Give an illustrative example Follow procedures in solving system by substitution GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: GRADE LEVEL: EIGHT (8) TEACHER: LEARNING AREA: MATHEMATICS 8 TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND QUARTER S. Discussing New Concepts and Practicing New Skills#2 Read and understand some important note on systems of linear equation Determine the systemwhen two lines do not intersect Graph the system and tell whether each is consistent, dependent or inconsistent Discuss theconcept of finding solution of system of linear equation in the intersecting point Solve more problems by showing solutions and graphs T. Developing Mastery (Leads To Formative Assessment 3) Differentiate the three systems of linear equations Differentiate the slopes of the two systems when two Determine the systemof linear equation through slopes and y intercepts Draw the graphs of each systemand give Compare the method of solving systems by IV PROCEDURES MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY These steps should be done across the week. Spread out the activities appropriately so thatthe students will learn will learn well.Always beguided by demonstration of learning the by the students which you can infer from formative assessmentactivities.Sustain learningsys tematically by providingthestudents with multipleways to learn new things,practicetheir learning,question their learningprocesses and drawconclusion aboutwhatthey learned in relation to their lifeexperiences and previous knowledge. Indicatethe time allotment for each step.
- 14. lines intersect and do not intersect the coordinates of the point of intersection graphing and substitution U. Finding Practical Application of Concepts and Skills in Daily Living Compare the slopes of the lines defined by linear equation Represent problems systems of linear equation that involves finding values of two quantities Do the activity in the worksheets Solve real life problems using graphing method Formulate a word problem involving systemof linear equations then solve GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: GRADE LEVEL: EIGHT (8) TEACHER: LEARNING AREA: MATHEMATICS 8 TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND GRADING H. Making Generalization and Abstractions about the lesson IV PROCEDURES MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY These steps should be done across the week. Spread out the activities appropriately so thatthe students will learn will learn well.Always beguided by demonstration of learning the by the students which you can infer from formative assessmentactivities.Sustain learningsystematically by providingthe students with multipleways to learn new things, practicetheir learning,question their learningprocesses and drawconclusion aboutwhatthey learned in relation to their lifeexperi ences and previous knowledge. Indicatethe time allotment for each step.
- 15. I. Evaluating Learning J. Additional Activities for Application or Remediation VI- REMARKS GRADES 1 TO 12 DAILY LESSON LOG SCHOOL: GRADE LEVEL: EIGHT (8) TEACHER: LEARNING AREA: MATHEMATICS 8 TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND QUARTER VII - REFLECTION A. No. of learners who earned 80% in the evaluation B. No. of learners who required additional activities for remediation IV PROCEDURES MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY These steps should be done across the week. Spread out the activities appropriately so thatthe students will learn will learn well.Always beguided by demonstration of learning the by the students which you can infer from formative assessmentactivities.Sustain learningsystematically by providingthe students with multipleways to learn new things, practicetheir learning,question their learningprocesses and drawconclusion aboutwhatthey learned in relation to their lifeexperiences and previous knowledge. Indicatethe time allotment for each step.
- 16. 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?