Republic of the Philippines Region XII Cotabato Division GREENFIELD NATIONAL HIGH SCHOOL Poblacion, Arakan, Cotabato Demo-Teaching Lesson Plan in Mathematics-9 I. OBJECTIVES A. B. C. Objectives: 1. recall properties of parallelogram . 2. Use properties of parallelogram in finding the measures of angles, side and perimeter of a parallelogram. 3. relate solving the measurement of angles, side and perimeter involving a parallelogram in daily living. II. CONTENT Topic: Properties on Parallelogram Lesson Topic: Solving Problems Involving Parallelogram III. LEARNING RESOURCES A. References 1. Teacher’s Guide pages: 2. Learner’s Materials: pages 317-318 3. Self-Learning Module: Mathematics Learner’s Material 9 Quarter 3 Module 5 IV. PROCEDURES A. Preliminaries 1. Greetings 2. Checking of Attendance 3. Setting of Standards B. Reviewing Previous Lesson or Presenting the new lesson •Let the learners recall the 5 properties of parallelogram. C. Establishing a purpose of the Lesson/Motivation Describe the following figures in terms of their sides and angles. D. Presenting Examples/ instances of the new lesson 1. Present the Topic. 2. Presenting the lesson objectives. Objectives: 1. recall properties on parallelogram in solving the measurement of angles, side and perimeter involving parallelogram 2. find the measures of angles, side and perimeter involving parallelogram 3. relate solving the measurement of angles, side and perimeter involving parallelogram in daily living E. Lesson Proper Parallelogram- is a quadrilateral with two pairs of opposite sides that are parallel. A. Discussing new Concepts and Practicing New Skills # 1 Below is a parallelogram MATH. M A E H T 1. GIVEN: MA= (2x-6) cm, AT= (3y-5) cm, TH= (x+8) cm and MH=(2y+8) cm. What is the value of x? Step 1: Two pairs of opposite sides of parallelogram are congruent. Hence MA≅TH. Then, MA= TH. Step 2: Substitute 2x-6 for MA and x+8 for TH. 2x-6=x+8 2x-x= 8+6 x=14 The value of x is 14. a. How long is MA? Substitute the value of x to MA= 2x-6 MA= 2x-6 MA= 2(14) MA= 28 The value of AMA is 28 cm. b. What is the value of y? Step 1: Two pairs of opposite sides of parallelogram are congruent. Hence AT≅MH. Then, AT= MH Step 2: Substitute 3y-5 for AT and 2y+8 for MH. 3y-5 = 2y+8 3y-2y= 8+5 y=13 The value of y is 13cm. c. How long is MH? Substitute the value of y to MH= 2y+8 MH= 2y+8 MH= 2(13)+8 MH= 26+8 MH=34 The value of MH is 34 cm. B. Discussing new Concepts and Practicing New Skills # 2 Refer to the parallelogram ABCD above and answer the questions that follow. 1.∠AMH measures (4a+10) ˚ while ∠ATH measures (5a-15) ˚. a. What is the value of a? b. What is m ∠AMH? c. What is m ∠TAM? Questions: How did you find the value of a? What property did you apply to solve for m∠TAM? 2. Diagonals MT and AH meet at E. HE is 10cm and MT is 14cm. a. How long ids AH? b. How long is ME? Questions: How did you solve for the lengths of AH and AE? What property did you apply? C. Developing mastery/Guided practice •The teacher divide the learners into 5 groups •Each group will be given a worksheet • They will be given 10 minutes to finish the activity. • Assess their output using the rubric Criteria/Points 15 Accuracy All answers are correct Cooperation Timeliness 10 1-2 answers are incorrect 5 3 or more answers are incorrect All 1-2 3 or more members members members cooperated did not did not cooperative cooperate Finish the Finish the Finish the task before task on task after the time time. the time Direction: Answer the questions that follows: Given: Quadrilateral LOVE is a parallelogram E L V O Group 1: If m∠O= 2X+10 and m∠E= x+30? What is m∠O? Group 2 If m∠L= 60 . What is m∠O?\ Group 3 If m∠E= x-60 and m∠L= 2x? What is m∠L? Group 4 If m∠L= 2x and m∠V= 4x-80? What is m∠O? Group 5 If mEV= 2x+3 and LO= 4x-15? What is EV? D. Making Generalizations and abstractions about lesson • How can you solve the measurement of angles and side involving parallelogram?? • What is the formula in getting the perimeter of a parallelogram? E. Finding practical application of concepts and skills in daily living? F. •How can you relate finding the measures of angles, side, and perimeter involving parallelogram in your daily living? Given: Parallelogram HERO E H Z O R 1. If HE=2x and OR=x+5, find HE. a. 4 b. 5 c. 6 d. 7 2. If m∠HER= 5y-26 and m∠ROH=2y-40, find m ∠ROH a. 84˚ b. 86˚ c. 88˚ d. 90˚ 3. If m∠OHE= 3 m∠HER, find m ∠OHE and m∠HER. a. 135 ˚ b. 136 ˚ c. 137 ˚ d. 138 ˚ 4. If mHZ= 4a-5 and mRZ=3a+5, find HZ. a. 8 b. 10 c. 12 d. 14 5. If OZ= 12B+1 and ZE=2b+21, find ZE. a. 10 b. 15 c. 20 d. 25 G. Additional Activities for applications or remediation •Enrichment •Remediation V. VI. REMARKS _____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ __________________ REFLECTION A. No. of learners who earned 80% in the evaluation________________________________ B. No. of learners who require additional activities for remediation ____________________ C. Did the remedial lesson work? ________________________________________________ D. No. of learners who have caught up with the lesson. ______________________________ E. no. of learners who require remediation. _______________________________________ F. Which of my teaching strategies worked well? Why did these work?_______________________________________________________________ _______ G. What difficulties did I encounter which my principal or supervisor can help me solve._______________________________________________________________ _______ H. What innovation or localized materials did I use/discover which I wish I share with other teachers? ___________________________________________________________________ Checked by: