DAILY LESSON LOG School Teacher Date and Time SAN AGUSTIN INTEGRATED SCHOOL ANGELA CAMILLE P. CARIAGA March 7-11,2022 (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. A. 1. 2. 3. 4. LEARNINGRESOURCES References Teachers Guide pages Learners Material Pages Textbook pages Additional Materials from LRDMS B. Other Learning Resources IV. PROCEDURES The learner demonstrates understanding of key concepts of quadrilaterals and triangle similarity The learner is able to investigate, analyze, and solve problems involving quadrilaterals and triangle similarity through appropriate and accurate representation. The learner proves and apply the Midline Theorem. (M9GE-IIId-1) The learner proves theorems on trapezoids and kites. (M9GE-IIId-2) Midline Theorem The Midsegment Theorem of Trapezoid Theorems on Isosceles Trapezoid Theorems on kITES Weekly Quiz TG MATH 9, pp. 216 – 217 LM MATH 9, pp. 329-331 TG MATH 9, pp. 216 – 217 LM MATH 9, pp. 329-331 TG MATH 9, pp. 217-218 LM MATH 9, pp. 330-331 TG MATH 9, pp. 218-219 LM MATH 9, pp. 331-334 TG MATH 9, pp. 219-220 LM MATH 9, pp. 335-336 Mathematics Quarter 3 - Module 3 Mathematics Quarter 3 - Module 3 Internet/ visual aids Preparatory Activities 1. Prayer 2. Attendance/ assignment 3. Classroom management Internet/ visual aids Preparatory Activities 1. Prayer 2. Attendance/ assignment 3. Classroom management A. Reviewing past lesson or Presenting the new lesson Have you been to Sky Ranch Tagaytay where the biggest ferris wheel can be found? Pre-Assessment: (page 1 of Q3-Math Module 3) Mathematics Quarter 3 Module 3 Internet/ visual aids Preparatory Activities 1. Prayer 2. Attendance/ assignment 3. Classroom management Preliminary Activity: “4 PICS 1 WORD” B. Establishing a purpose of the new lesson REAL LIFE APPLICATION OF MIDLINE THEOREM. (Ask to the learners) 1. What is the shape of the free-throw lane above? 2. Describe the angles inside the 4-sided figure 3.Which sides of the figure appear to be parallel? Congruent? Mathematics Quarter 3 - Module 3 Internet/ visual aids Preparatory Activities 1. Prayer 2. Attendance/ assignment 3. Classroom management Preliminary Activity: ANAGRAM Have you already been to Picnic Grove? Did you know that a simple kite flew at the Picnic Grove shared the properties of the geometric figure called a kite? Mathematics Quarter 3 Module 3 Preparatory Activities 1. Prayer 2. Attendance/ assignment 3. Classroom management Performance Task and ULAT Performance Task and ULAT C. Presenting Examples/ instances of the new lesson What is trapezoid? The trapezoid is another type of quadrilateral that is equally important as a parallelogram. D. Discussion of the lesson through illustrative examples. (Proving) Discussion of the lesson through an illustrative example with explanation, Discussing new concepts and practicing new skills no.1. The segment that joins the midpoints of a trapezoid's legs is called the median. The Midsegment Theorem of Trapezoid Theorem 2: The median of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases. E. Discussing new concepts and practicing new skills no.2 Activity A Questions: • Does EF̅̅̅̅̅̅̅̅ look parallel to the trapezoid’s base? • Measure EF̅̅̅̅̅̅̅̅ using your ruler. How long is it? • What is the sum of the bases of trapezoid ABCD? • Compare the sum of the bases and the length of EF̅̅̅̅̅̅̅̅ . What did you find? Activity B Questions: • What two pairs of angles formed are base angles? • Compare the measures of the angles in each pair. What did you find? Illustrative Examples Analysis Use a two – column proof to answer the activity. Given: Kite ROPE Prove: Area of kite ROPE = ½ (OE)(PR) Analysis F. Developing Mastery (Leads to Formative Assessment 3.) What is Midline Theorem? Midline Theorem Theorem 1: The segment joining the midpoints of a triangle's two sides is parallel to the third side and half as long. TRAP is an isosceles trapezoid with median . Determine the relation exists between each of the following: G. Finding practical application of concepts and skills in daily living A lot of kids love to play on the different rides and one of it is the swing. Activity 5. TRIAD Let the learners go outside the classroom and look for at least three objects or structures with trapezoidal shape. Let them prove it using the measurement of its sides and angles. Many different kinds of ornamental/ medicinal plants are found in Tagaytay because of its good climate. Restaurants like Sonya’s Garden is popular for their fresh and organic dishes, considering this pot of fresh flowers. Find HR. Given: MARI is a kite with diagonals and complete the following: Given: JKLM is a kite with and Prove: ∠K ∠M It is ________ that and . By the ________ Property ≌ . This means that ΔJKL ≌ ΔJML by ________ So ∠K ≌∠M by ________. H. Making Generalization and abstraction about the lesson A midline of a triangle is parallel to a side of the triangle and its length is half the length of that side. The Mid segment Theorem The median of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases. Things to remember: 1. Base angles of an isosceles trapezoid are congruent. 2. Diagonals of an isosceles trapezoid are 3. The median of a trapezoid is parallel to the base and its length is half the sum of the lengths of the bases. The median of a trapezoid bisects each of the diagonals. Things to remember 1. The diagonals of a kite are ⊥. 2. Exactly one pair of opposite ∠s is ≌. 3. Exactly one diagonal of a kite bisects a pair of opposite ∠s. I. Evaluating learning Assessment (pages 13-14 of Q3Math Module 3) J. Additional activities for application and remediation Cite example that midline theorem is applicable to real life situation. . Cite example that TRAPEZOID is applicable to real life situation. Study two column proof. 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: Noted: ANGELA CAMILLE P. CARIAGA Teacher I VICTORIA P. ROMBO OIC/HT III ULAT (Content Standard and Performance Standard)