DAILY LESSON LOG School Teacher Date and Time SAN AGUSTIN INTEGRATED SCHOOL ANGELA CAMILLE P. CARIAGA March 21-25, 2022 (10:00-11:00) Monday Tuesday Grade Level Subject Quarter Wednesday 9 Mathematics THIRD Thursday Friday I. OBJECTIVES A. Content Standards B. Performance Objective C. Learning Competencies/ Objectives ( Write the LC code for each) II.CONTENT ( Subject Matter) III. LEARNINGRESOURCES A. References 1. Teachers Guide pages 2. Learners Material Pages 3. Textbook pages 4. Additional Materials from LRDMS B. Other Learning Resources IV. PROCEDURES A. Reviewing past lesson or Presenting the new lesson B. Establishing a purpose of the new lesson The learner demonstrates understanding of key concepts of parallelograms and triangle similarity. The learner is able to investigate, analyse, and solve problems involving parallelograms and triangle similarity through appropriate and accurate representation. The learner describes a proportion. (M9GE-IIIf-1) The learner applies the fundamental theorems of proportionality to solve problems involving proportions. (M9GE-IIIf-2) The learner illustrates similarity of figures. (M9GE-IIIg-1) The learner proves the conditions for similarity of triangles, by AA similarity theorem. (M9GE-IIIg-h-1) The learner proves the conditions for similarity of triangles, by SSS similarity theorem. (M9GE-IIIg-h-1) Fundamental theorems of Fundamental theorems of Proportion Proportion WEEKLY QUIZ proportion proportion TG MATH 9, pp. 232-234 LM MATH 9, pp. 356-363 TG MATH 9, pp. 232-234 LM MATH 9, pp. 356-363 Internet/ visual aids Preparatory Activities 1. Prayer 2. Attendance/ assignment 3. Classroom management Internet/ visual aids Preparatory Activities 4. Prayer 5. Attendance/ assignment 1. Classroom management Preliminary 1. Pre-Assessment Express the following as ratio: 2 meters to 40 centimeters 3 weeks to 6 days 25 minutes to 2 hours 6 years to 1.5 decades a century to a decade Preliminary 2. Pre-Assessment Express the following as ratio: 2 meters to 40 centimeters 3 weeks to 6 days 25 minutes to 2 hours 6 years to 1.5 decades a century to a decade The teacher will show different pictures in the monitor and the learners will describe/explain what they have noticed. The teacher will show different pictures in the monitor and the learners will describe/explain what they have noticed. TG MATH 9, pp. 232-234 LM MATH 9, pp. 358-361 Internet/ visual aids Preparatory Activities 2. Prayer 3. Attendance/ assignment 1. Classroom management TG MATH 9, pp. 232-234 LM MATH 9, pp. 358-361 Internet/ visual aids Preparatory Activities 4. Prayer 5. Attendance/ assignment 2. Classroom management TG MATH 9, pp. 241-243 LM MATH 9, pp. 370-372 Internet/ visual aids Preparatory Activities 1. Prayer 2. Attendance/ assignment 3. Classroom management Activity: ANSWER MO, SHOW MO The properties that follow show several ways of rewriting proportions that do not alter the meaning of their values. 1. The properties that follow show several ways of rewriting proportions that do not alter the meaning of their values. Activity: I CHALLENGE YOU! C. Presenting Examples/ instances of the new lesson 1. Express the following ratios: a. 1 m to 20 cm Solution: 1 m = 100 cm 2. Express the following ratios: d. 1 m to 20 cm Solution: 1 m = 100 cm b. 5 days to 2 weeks Solution: 2 weeks = 14 days e. 5 days to 2 weeks Solution: 2 weeks = 14 days Think-Pair-Share Discussing new concepts and practicing new skills no.1. c. side of an equilateral triangle to its perimeter f. side of an equilateral triangle to its perimeter Solution: Solution: Unlock difficulties: In the proportion a:b = c:d, a and d are called the extremes of the proportion while b and c are the means. In a proportion, the product of the means equals the product of the extremes Unlock difficulties: In the proportion a:b = c:d, a and d are called the extremes of the proportion while b and c are the means. In a proportion, the product of the means equals the product of the extremes Think-Pair-Share Solve for x in the proportionality. 1. = 2. = 3. = 4. 2:3 = 11: (X+3) (2X + 1) : 15 = X : 7 D. Discussing new concepts and practicing new skills no.2 E. Developing Mastery (Leads to Formative Assessment 3.) F. Finding practical application of concepts and skills in daily living Guided Practice (Let’s Do This!) Guided Practice (Let’s Do This!) Are the following ratios proportional? Answer with yes or no If the answer is no, give a ratio, proportional to either of the given ratios. Are the following ratios proportional? Answer with yes or no If the answer is no, give a ratio, proportional to either of the given ratios. Application:Let’s Do More! Application:Let’s Do More! What I ratio? Proportion is the equality of two ratios. Fundamental Rule of Proportion What I ratio? Proportion is the equality of two ratios. Fundamental Rule of Proportion Assessment: Challenge yourself! Assessment: Challenge yourself! H. Evaluating learning Solve for x in the proportionality. 5. = 6. = 7. = 8. Activity Guided Questions 2:3 = 11: (X+3) (2X + 1) : 15 = X : 7 Solve each Proportion. Solve each Proportion. Apply the fundamental law of proportion by finding the missing variable. Write the answer on the blank before the number. Apply the fundamental law of proportion by finding the missing variable. Write the answer on the blank before the number. Problem solving Activity G. Making Generalization and abstraction about the lesson Illustrative Examples If w:x = y:z, then w y x z provided that x ≠ 0; z ≠ 0. Problem solving Activity If w:x = y:z, then w y x z provided that x ≠ 0; z ≠ 0. Solve each proportion. Solve each proportion. Leave your Leave your answer as a answer as a fraction in simplest fraction in simplest form. form. Analysis Use the SSS Similarity Theorem in writing an ifthen statement to describe an illustration or in completing a figure based on an if-then statement. Write the statements or reasons that are left blank in the proof of SSS Similarity Theorem. SSS Similarity Theorem Two triangles are similar if the corresponding sides of two triangles are proportional If the triangles are similar, write a similarity statement between each pair of triangles. I. Additional activities for application and remediation Supply the missing numbers or variables which will make the statement proportionality. Supply the missing numbers or variables which will make the statement proportionality. 1. 1. 2. 2. Assignment: Follow-up 3. 3. V.REMARKS VI.REFLECTION A. No. of learner who earned 80% B .No. of learner who scored below 80% ( needs remediation) C. No. of learners who have caught up with the lesson D. No of learner who continue to require remediation E. Which of my teaching strategies work well? Why? F. What difficulties did I encounter which my principal /supervisor can help me solve? G. What innovation or localized materials did I use/discover which I wish to share w/other teacher? Prepared by: ANGELA CAMILLE P. CARIAGA Teacher I Noted: VICTORIA P. ROMBO OIC/HT III