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    Lesson Plan in BASIC CALCULUS (Limits) by APRILLE ALIPANTE

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    Aprille Alipante
    This lesson plan introduces students to the concept of limits. Students will define limits, identify limits from tables of values and graphs, and solve real-world problems involving the continuity of functions. The lesson includes activities where students work in groups to plot points from tables on a graphing board, complete their own tables of values, and identify limits from graphs. The teacher will then define limits mathematically and illustrate using examples before students individually complete an assignment calculating limits of a given function.

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    Lesson Plan in BASIC CALCULUS (Limits) by APRILLE ALIPANTE

    Uploaded by

    Aprille Alipante
    2K views3 pages
    This lesson plan introduces students to the concept of limits. Students will define limits, identify limits from tables of values and graphs, and solve real-world problems involving the continuity of functions. The lesson includes activities where students work in groups to plot points from tables on a graphing board, complete their own tables of values, and identify limits from graphs. The teacher will then define limits mathematically and illustrate using examples before students individually complete an assignment calculating limits of a given function.

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    Lesson plan in BASIC CALCULUS(limits) by APRILLE ALIPANTE

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    Lesson plan in BASIC CALCULUS(limits) by APRILLE ALIPANTE

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    This lesson plan introduces students to the concept of limits. Students will define limits, identify limits from tables of values and graphs, and solve real-world problems involving the continuity of functions. The lesson includes activities where students work in groups to plot points from tables on a graphing board, complete their own tables of values, and identify limits from graphs. The teacher will then define limits mathematically and illustrate using examples before students individually complete an assignment calculating limits of a given function.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    2K views3 pages

    Lesson Plan in BASIC CALCULUS (Limits) by APRILLE ALIPANTE

    Uploaded by

    Aprille Alipante
    This lesson plan introduces students to the concept of limits. Students will define limits, identify limits from tables of values and graphs, and solve real-world problems involving the continuity of functions. The lesson includes activities where students work in groups to plot points from tables on a graphing board, complete their own tables of values, and identify limits from graphs. The teacher will then define limits mathematically and illustrate using examples before students individually complete an assignment calculating limits of a given function.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 3

    Semi-Detailed Lesson Plan in Basic Calculus

    Prepared by: APRILLE M. ALIPANTE


    Date: December 5, 2019
    Grade and Section: Grade 12 – Francium (GAS)

    I. Objectives
    A. Content Standard: The learners demonstrate understanding of the basic concepts of limit.

    B. Performance Standard: The learners shall be able to formulate and solve accurately real-life
    problems involving continuity of functions.

    C. Competency: The learners illustrate the limit of a function using a table of values and the graph of
    the function. STEM_BC11LC-IIIa-1
    Learning Objectives: In this lesson, the students will be able to:
    1. define Limits;
    2. identify the limit of the function as x approaches a certain value using a table of
    values; and
    3. identify the limit of the function as x approaches a certain value using the graph.

    II. Subject Matter


    Topic: Limits
    Materials: graphing board, charts, powerpoint presentation, push pins, yarn, graphing paper
    References: Calculus by Howard Anton, Chapter 2 pp. 85-92
    Strategy: 4 A’s

    III. Learning Task


    A. Preliminaries
     Prayer
     Checking of Attendance
     Reminders/Setting of standards
    B. Review
    Let’s count 1 to 7 with a twist!
    Students will count from 1 up to 7 (but without saying the numbers 1-6) with
    corresponding hand movements indicating the direction of the next person to count. The
    person who loses/ gets wrong will answer the question in the PowerPoint presentation.
    Explain your answer and if you answer it correctly you will receive a reward.
    Some of the questions to be ask, are the following:
    1. What does a table of values contains?
    2
    2. Given the function 𝑓(𝑥) = 𝑥 , what is the value of 𝑓(−2)?
    3. In a Cartesian plane, how do we determine that a graph is a function?

    C. Motivation
    Point Locator: from Table to Plane, PUT IT UP!
     Group the class into four groups. Each group will receive a task card, pushpins, and yarn.
     Each group is given a different table of values.
     Out of the table of values, each group shall locate the points/ordered pairs in the
    graphing board using the pushpins.
     After locating all the points, each group shall connect the points by tying the yarn to the
    pushpins.
     The first group who finished first will be the winner, and the winner gets a mysterious
    prize.

    What have you formed from connecting the points?


    If you are going to continue the graph, at what point are you going to draw it? How did
    you know that?

    D. Activity
    With the same group, each group will receive a task card, activity sheets, cartolina and
    colored pens to do the 20-minute activity.
    𝟏
    Given the equation 𝒇(𝒙) = 𝒙 , each group will complete the table of values and will graph
    it in a Cartesian plane.

    Group 1 Group 2 Group 3 Group 4


    𝒙 𝒇(𝒙) 𝒙 𝒇(𝒙) 𝒙 𝒇(𝒙) 𝒙 𝒇(𝒙)

    -4 4 -1 1

    -3 3 -2 2

    -2 2 -3 3

    -1 1 -4 4

    Questions to be answered:
    1. Does the function exist in x=0? Why or why not?
    2. What happens to the value of 𝒇(𝒙) as x approaches
    Group 1: 0?
    Group 2: 0?
    Group 3: negative infinity?
    Group 4: positive infinity?
    Let the students show their output in maximum of 4 minutes.

    E. Analysis
    𝟏
    What happens to the function 𝒇(𝒙) = 𝒙 as x approaches 0 from the left? 0 from the
    right? negative infinity? positive infinity?

    F. Abstraction
     The teacher will give the definition and used of Limits in describing how a function
    behaves as the independent variable 𝒙, moves toward a certain value.
     The teacher will introduce mathematical notations associated with limits:
    𝐥𝐢𝐦 𝒇(𝒙) , 𝐥𝐢𝐦 𝒇(𝒙) , 𝐥𝐢𝐦 𝒇(𝒙) , 𝐥𝐢𝐦 𝒇(𝒙) and 𝐥𝐢𝐦 𝒇(𝒙) .
    𝒙→𝒂+ 𝒙→𝒂− 𝒙→𝒂 𝒙→−∞ 𝒙→+∞
     The teacher will also illustrate the limits using table of values and graphs from the
    outputs of the previous activity.
    G. Application:
    It’s Showtime!
    With the same group, identify the limits of the following graphs

    IV. Evaluation
    For the function 𝒇(𝒙) graphed below, complete the table by finding the limit as x approaches the ff.:
    𝒙 𝐥𝐢𝐦 𝒇(𝒙)
    approaches
    0-

    0+

    −∞

    +∞

    V. Assignment
    Do the Activity
    𝒙+𝟏
    1. Individually, create a table of values of the function 𝒇(𝒙) = , and graph it in
    𝟐𝒙
    the graphing paper. Then find the limits of the following:
    𝐥𝐢𝐦 𝒇(𝒙) , 𝐥𝐢𝐦 𝒇(𝒙) , 𝐥𝐢𝐦 𝒇(𝒙) , 𝐥𝐢𝐦 𝒇(𝒙) and 𝐥𝐢𝐦 𝒇(𝒙) .
    𝒙→𝟎+ 𝒙→𝟎− 𝒙→𝟎 𝒙→−∞ 𝒙→+∞

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