GRADE 11 School Grade Level 11DAILY LESSON LOG Teacher Learning Area General Mathematics Teaching Dates and Time Week 1 Quarter First Session 1 Session 2 Session 3 Session 4 I. OBJECTIVES A. Content Standards The learner's demonstrate an understanding of the key concepts of functions B. Performance Standards The learner's shall be able to accurately construct mathematical models to represent real-life situations using functions. C. Learning Competencies/Objectives M11GM-Ia-1 & M11GM-Ia-4 M11GM-Ia-2 & M11GM-Ia-4 M11GM-Ia-3 & M11GM-Ia-4 II. CONTENT Functions as Models (Piecewise) Functions as Models Composition of Functions Operations on Functions III. LEARNING RESOURCES A. References 1. Teacher's Guide pages Teaching Guide for Senior High School General Mathematics pp.1-11 2. Learner's Material pages N/A 3. Textbook's pages General Mathematics. Rex Books Store 2016 4. Additional Materials from Learning www.yaymath.com www.quipperschool.com Resource (LR) portal B. Other Learning Resources General Mathematics IV. PROCEDURES Do a quick review of the rules of A. Reviewing previous lesson or Review on the Functions from adding, subtracting, multiplying Review of Previous Lesson Discussion of Worksheets presenting the new lesson Junior High School and dividing fractions and algebraic expressions. Mention that we will represent Some situation can only be Recall in the discussion of the five machines mathematical relations as desired by more than one formula, The important concept that the that the output of one machine was connected machines with an input and an depending on the valueof the students need to understand in to the input of another machine. Ask the class output, and that the output is dependent variable this lesson is that adding, how a similar scenario can be applied to the related to the output by some subtracting and multiplying two or functions discussed. Using a function as an B. Establishing a purpose for the rule. more functions together will result input leads us to function composition. lesson in another function. Dividing two functions together will also result in another functionif the denominator or divisor is not the zero function. Mention that we will represent Recall in the discussion of the five machines mathematical relations as The important concept that the that the output of one machine was connected machines with an input and an students need to understand in to the input of another machine. Ask the class output, and that the output is this lesson is that adding, how a similar scenario can be applied to the related to the output by some subtracting and multiplying two or functions discussed. Using a function as an B. Establishing a purpose for the rule. more functions together will result input leads us to function composition. lesson Evaluating a function means in another function. Dividing two replacing the variable in the functions together will also result function and computing for the in another functionif the result. denominator or divisor is not the zero function. Writing new rule: addition, Writing new rule: composition and linear Fuctions and relations as a table Taxes rate in the Philippines subtraction, multiplication and combination of values division. C. Presenting examples/ instances of Evaluate a number: addition, Functions as a graph in the Evaluate a number (integers, Evaluate a number: composition and linear the new lesson subtraction, multiplication and Cartesian plane fractions & decimals) on different combination division. functions. Functions as a representations Evaluate an expression (integers, Evaluate an expression: addition, Evaluate an expression: composition and of real-life situations fractions & decimals) on different subtraction, multiplication and linear combination functions. division. D. Discussing new concepts and Answer the guide questions. Answer the guide questions. Answer the guide questions. Answer the guide questions. practicing new skills #1 E. Discussing new concepts and Group Work Exercises Group Work Exercises Group Work Exercises Group Work Exercises practicing new skills #2 F. Developing mastery (Leads to Worksheets Worksheets Worksheets Worksheets Formative Assessment 3) G. Finding practical applications of ESSAY: MEANINGFUL EXISTENCE OF concepts and skills in daily living FUNCTIONS IN OUR EVERYDAY LIFE Provide a real-world example or How do we denote a functional scenario that can be expressed relationship between two variables Like numbers functions can be as a relation that is not a added, subtracted, multiplied or H. Making generalizations and x and y? What is a composite function? What are the function. divided. Ask students to abstractions to the lesson Which of the two variables is basic steps in evaluating a composite function? Provide a real-world example or dependent? Which is the enumerate the definitions for scenario that can be modelled by independent variable? Why do you operations on functions. a linear function. say so? I. Evaluating learning Seat Work Seat work Board Work Board Work J. Additional activities for application More Exercises More Exercises More Exercises Give additional problem and remediation V. REMARKS Worksheets can be given as an Worksheets can be given as an Worksheets can be given as an assignment assignment assignment Worksheets can be given as an assignment VI. REFLECTION
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