School DAILY LESSON PLAN Teacher Teaching Date Time Enrolled Students Luzon National High School Cristine Gersary C. Aguanta August 30, 2023 M = ____ F = _____ Total= _____ Grade Section Subject Semester/Quarter Actual No. of Students I. OBJECTIVES A. Content Standards C. Learning M11GM-Ia-2 The learner evaluates a function. II. CONTENT/TOPIC M = ___ F = ___ Total= ____ The learner demonstrates understanding of key concepts of functions. The learner is able to accurately construct mathematical models to represent real-life situations using functions. Competencies/ Objectives (Write the LC Code for each) General Mathematics Remarks B. Performance Standards Grade 11 Baltazar/ Calderon/ Paterno/ Sulayman Evaluating Functions LEARNING RESOURCES A. References 1. Teacher’s Guide Pages TG for SHS General Mathematics, pp. 15-36 2. Learner’s Materials Pages 3. Textbook pages 4. Additional Textbook from Learning Resource (LR) Portal Slide Decks on the Topic B. Other Learning Resources III. PROCEDURES A. PRELIMINARY ACTIVITIES Daily Routines Prayer Checking of Attendance Drills B. LESSON PROPER REVIEW Recall the definition of a function. MOTIVATION Ask: What would happen if a sack of rice grains is poured into the opening of a working milling machine? If one thinks of functions as a function machine, evaluating a function is analogous to providing our machines with a valid input. ACITIVITY Let the learners work with a partner. Assign the problem below. The solution is provided for you. The teacher will have to mill around to facilitate the group activity. Call a representative to discuss the solution in the class. ( A classroom reward system could be used to further encourage and motivate the learners to participate in the activity, say the first five groups earns extra points.) Evaluate q( x) x 2 2 x 2 at q (2 x 3) . Solution: Luzon National High School Prk. 1, Luzon, Governor Generoso, Davao Oriental Page 1 of 3 Step 1. q( x) x 2 2 x 2 Given Step 2. q(2 x 3) (2 x 3) 2(2 x 3) 2 by Substitution Step 3. q(2 x 3) 4 x 2 12 x 9 4 x 6 2 Squaring, DPMA Step 4. q(2 x 3) 4 x 2 8x 5 Combining similar terms Step 5. Thus, the function value is 4 x 2 8 x 5 . 2 ANALYSIS ABSTRACTION APPLICATION IV. EVALUATION Ask the learners what method is used in coming up with the answer. What method is used to find the answer easily? Ask: How is evaluating a function done? Evaluating a function can be done replacing the variable in the function, in this case x, with a value from the function’s domain and computing for the result. To denote that we are evaluating f at a for some a in the domain of f, we write f(a). Seatwork: 1. Mark started selling snacks in the nearby school. In one day he spends P200 for rent and P25 for each snack item he prepares. His expenses in a single day can be expressed as the function C(x) = 25x + 200, where x is the number of items and C(x) is his daily expenses in pesos. How much are his expenses if he prepares 100 snack items? 150 snack items? Answer: P2,700 and P3,950, respectively. 2. The function for the height of an object dropped from 100-meter tall platform at time t seconds is approximated by s(t) = -5(𝑡 2 + 100. 𝑇ℎ𝑖𝑠 𝑓𝑜𝑟𝑚𝑢𝑙𝑎 𝑖𝑠 𝑏𝑎𝑠𝑒𝑑 𝑜𝑛 𝑎𝑛 𝑎𝑝𝑝𝑟𝑜𝑥𝑖𝑚𝑎𝑡𝑒𝑑 𝑣𝑎𝑙𝑢𝑒 𝑓𝑜𝑟 𝑡ℎ𝑒 𝑎𝑐𝑐𝑒𝑙𝑒𝑟𝑎𝑡𝑖𝑜𝑛 𝑔 = 100𝑚 𝑑𝑢𝑒 𝑡𝑜 𝑔𝑟𝑎𝑣𝑖𝑡𝑦. ) What is the height of the object 𝑠2 after 2 seconds? after 4 seconds? Answer: 80 and 20 meters, respectively. . Evaluate the following functions at x = 3. a) f(x) = x – 3 b. g(x) = 𝑥 3 − 3𝑥 + 5 3 c. h(x) = √𝑥 3 + 𝑥 + 3 𝑥 2 +1 d. p(x) = 𝑥−4 2. For what values of x can we not evaluate the function 𝑥+3 f(x) = 𝑥 2 −4. ADDITIONAL ACTIVITIES FOR APPLICATION OR REMEDIATION For remediation, assign learners to pick 2 problems that they did not worked on in the previous activity found in part I. Peer tutoring is desired for this purpose. For enrichment, assign Seatwork 5 on p. 11. The same rubric should be used for grading the learners’ outputs. V. REMARKS VI. REFLECTION A No. of learners who earn 80% in the evaluation. Luzon National High School Prk. 1, Luzon, Governor Generoso, Davao Oriental Page 2 of 3 B. No. of learners who require additional activities or remediation. C. Did the remedial lessons work? No. of learners who have caught up with the lesson. D. No. of Learners who continue to require remediation. E. Which of my teaching strategies worked well? Why did these works? F. What difficulties did I encounter which my principal or supervisor can help me solve? G. What innovations or localized materials did I use/discover which I wish to share with other teachers? Comments/Suggestions: Prepared by: Checked by: CRISTINE GERSARY C. AGUANTA SHS Teacher II LILIBETH M. BERMOY MT-I/Cooperating Teacher Noted by: AGNES A. ARQUIZA Principal I Luzon National High School Prk. 1, Luzon, Governor Generoso, Davao Oriental Page 3 of 3