NOTRE DAME OF MLANG, INC.
Garcia St., M’lang, Cotabato
                                       SENIOR HIGH SCHOOL DEPARTMENT
                                                  S.Y.: 2024-2025
                                  LESSON PLAN IN GENERAL MATHEMATICS
September 2-6, 2024 – Preparation for the Founding
Anniversary                                                  Day 2
September 9, 2024 – Rest Day                                              INTRODUCTION
September 10, 2024 – Post Review                                     PRELIMINARIES
                                                                     A. Prayer
Date: September 11-13, 2024                                          B. Greetings
Lesson: Addition and Subtraction of Functions                        C. Checking of Attendance
Time Allotment: 135 minutes                                          D. Setting of Standards
      I.    LEARNING COMPETENCIES                                     D. CLOSING ACTIVITY
               At the end of the period the students
will be able to:                                             Activity 2:
     performs addition, subtraction,                         1. Ask the students to answer the following
        multiplication, division, and composition of             problem items individually using pen and
        functions;                                               paper.
     solves problems involving functions;                    2. Give students enough time to answer the
                                                                 problem items.
      II.      LEARNING PROCEDURE                             3. Call a random student to show his or her
               A. INTRODUCTION                                   work on the board afterward.
              PRELIMINARIES                                   4. Let the student share how he or she comes
              A. Prayer                                          up with his or her solution.
              B. Greetings                                    5. Inform the student the accuracy of his
              C. Checking of Attendance                          answer and solution, and in the case when
              D. Setting of Standards                            there is some sort of misconception, lead the
                                                                 student to the right direction to find the
  Day 1                                                          correct answer.
  Activity 1: Secret Message!
  Methodology:                                               Day 3
  1. Divide students into 5 groups.                                       INTRODUCTION
  2. Give them the problems to solve.                                PRELIMINARIES
  3. Tell the students that there is a message that                  A. Prayer
  they need to figure out. Each letter in the                        B. Greetings
  message has a corresponding value. For them to                     C. Checking of Attendance
  figure out the corresponding value, they need to                   D. Setting of Standards
  evaluate the function given the value of x.
  4. Let the students complete the table.                     III. EVALUATION
                                                                Worksheet from Quipper
                B. INTERACTION
            Guide Question:                                   IV.   ASSIGNMENT
            1. What is the message?                             Give at least one problem of multiplication
            2. How do we evaluate the function given a          and division of functions.
            value of x?
                                                           Reference: General Mathematics
            -Discussion                                    link.quipper
            -How to solve addition of functions?           Materials: worksheets
            -How to solve subtraction of functions?
                                                           Prepared by:
                  C. INTEGRATION
                                                                          JOCEL O. BADANA, LPT
  -         1. Why is important to know how to perform
            the addition and subtraction of functions?                            Teacher
  -         2. How can we apply these operations in real   Checked by:
            life?                                                         MELINDA E. JORNADAL, LPT
  -         Values Integration: Cooperation, Teamwork,                         Math Coordinator
            Truthfulness
                                      NOTRE DAME OF MLANG, INC.
                                        Garcia St., M’lang, Cotabato
                                   SENIOR HIGH SCHOOL DEPARTMENT
                                             S.Y.: 2024 – 2025
                               LESSON PLAN IN GENERAL MATHEMATICS
Date: September 17-18, 2022                                          (f ∙ g)(x) = (4x3) + (−12x2 − x2) +
Lesson: Multiplication of Functions                                  (−8x +3x) + (2)
Time Allotment: 90 minutes
                                                                     4. Combine similar terms.
   I.       LEARNING COMPETENCIES                                    (f ∙ g)(x) = (4x3) + (−12x2 − x2) + (−8x
               At the end of the period the students                 +3x) + (2)
will be able to:
     performs addition, subtraction,                                (f ∙ g)(x) = 4x3 − 13x2 − 5x + 2
        multiplication, division, and composition of
        functions;                                                   Thus, (f ∙ g)(x) = 4x3 − 13x2 − 5x + 2.
     solves problems involving functions;
                                                                       C. INTEGRATION
   II.      LEARNING PROCEDURE                             -     1. Why is important to know how to multiply
            A. INTRODUCTION                                      functions?
           PRELIMINARIES                                   -     2. How can we apply these operations in real
           A. Prayer                                             life?
           B. Greetings                                    -     3. What values of St. Marie Rivier that we
           C. Checking of Attendance                             must multiply?
           D. Setting of Standards                         -     Values Integration: Cooperation, Teamwork,
                                                                 Truthfulness
  Day 1
  Activity 1: Let’s Recall!                                Day 2
  Methodology:                                                      PRELIMINARIES
  1. Ask the students to answer the following on                    A. Prayer
  their notebooks.                                                  B. Greetings
  Find the product for each item.                                   C. Checking of Attendance
  1. 4(3x – 2)                                                      D. Setting of Standards
  2. x(5x + 3)
  3. 3x(x2 – 3x – 1)                                                  D. CLOSING ACTIVITY
  4. 4x2(3x – 5)
  5. x3(x3 – 2x + 4)                                       Activity 2:
                                                            1. Divide students into 5 groups.
              B. INTERACTION                                2. Give each group, problems to solve.
         Guide Question:                                    3. Ask them to write their answer on the board.
         1. How do you multiply a monomial by a                Find the product of the functions
         polynomial?                                           f(x) = 3x/x−2 and g(x) = x−2/x+3
         -Discussion
         -How to solve multiplication of Function?             III. EVALUATION
         -Examples:                                              Worksheet from Quipper
         -Let f(x) = 4x − 1 and g(x) = x2 − 3x − 2.              A. Find (f ∙ g)(x) for each pair of functions.
         -Find (f ∙ g)(x).                                       1. f(x) = 2x + 6 and g(x) = 3x − 3
             1. Substitute the given functions.                  2. f(x) = 3x and g(x) = x2 − 2x + 1
             (f ∙ g)(x) = f(x) ∙ g(x)                            3. f(x) = 3x + 6 and g(x) = 2x2 + x + 4
             (f ∙ g)(x) = (4x − 1)(x2 − 3x − 2)
                                                               IV.   ASSIGNMENT
            2. Multiply the expressions.                         Give at least one problem of division of
            (f ∙ g)(x) = (4x − 1)(x2 − 3x − 2)                   functions.
            (f ∙ g)(x) = 4x3 − 12x2 − 8x − x2 + 3x + 2
            3. Group similar terms together.             Reference: General Mathematics
            (f ∙ g)(x) = 4x3 − 12x2 − 8x − x2 + 3x + 2   link.quipper
                                                         Materials: worksheets
                                        NOTRE DAME OF MLANG, INC.
                                          Garcia St., M’lang, Cotabato
                                     SENIOR HIGH SCHOOL DEPARTMENT
                                               S.Y.: 2024 – 2025
                                  LESSON PLAN IN GENERAL MATHEMATICS
Date: November 14-17, 2022                                   -     2. How can we apply these operations to real
Lesson: Division of Functions                                      life?
Time Allotment: 90 hours                                     -     Values Integration: Cooperation, Teamwork,
                                                                   Truthfulness
      I.    LEARNING COMPETENCIES
               At the end of the period the students
will be able to:                                             Day 2
     performs addition, subtraction,                                 PRELIMINARIES
        multiplication, division, and composition of                  A. Prayer
        functions;                                                    B. Greetings
     solves problems involving functions;                            C. Checking of Attendance
                                                                      D. Setting of Standards
      II.      LEARNING PROCEDURE
               A. INTRODUCTION                                          D. CLOSING ACTIVITY
              PRELIMINARIES
              A. Prayer                                      Activity 2:
              B. Greetings                                    1. Divide students into 5 groups.
              C. Checking of Attendance                       2. Give each group, problems to solve.
              D. Setting of Standards                         3. Ask them to write their answer on the board.
                                                                 Let f(x) = 2x2 − 7x − 15 and g(x) = x − 5.
  Day 1                                                          Find (f/g) (−1).
  Activity 1: Divide It!
  Methodology:                                                   III. EVALUATION
  1. On their notebooks, ask the students to create a              Worksheet from Quipper
  trinomial with the following conditions: a. single               Find (f/g)(x) for each pair of functions.
  variable (𝑥) b. descending order with a degree of                1. f(x) = x + 3 and g(x) = 2x − 5
  2                                                                2. f(x) = 30x and g(x) = 9x2 − 14x + 2
  2. Post these three expressions on the board one                 3. f(x) = 3x + 6 and g(x) = x2 – 4
        a. 𝑥
  at a time.
        b. 𝑥 + 1
                                                                 IV.     ASSIGNMENT
        c. 𝑥 − 3
                                                                   1. Is there another operation for functions?
                                                                   2. How does the next operation work?
  3. Tell the class that they will be dividing the
                                                           Reference: General Mathematics
  expression they made by each of the expressions
                                                           link.quipper
  posted on the board.
  4. In each item, let the students exchange their
  notebooks. Have them check each other’s work.            Prepared by:
                                                                            JOCEL O. BADANA, LPT
           B. INTERACTION                                                           Teacher
1. How do we divide polynomials?
                                                           Checked by:
2. What are the different methods we use in
                                                                            MELINDA E. JORNADAL, LPT
dividing polynomials?
3. How do we write the remainder when dividing                                   Math Coordinator
polynomials?
  - Discussion
  - Drills/Practice
                C. INTEGRATION
  -         1. Why is it important to know how to divide
            functions?