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    Q4 Math4 Week2

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    Angelika Basmayor

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    Q4 Math4 Week2

    Uploaded by

    Angelika Basmayor
    17 views4 pages

    Original Title

    Q4-MATH4-WEEK2 (1)

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    17 views4 pages

    Q4 Math4 Week2

    Uploaded by

    Angelika Basmayor

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    © All Rights Reserved
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    of 4

    SDO TABACO CITY

    Mathematics 4
    Quarter 4 – Week 2

    LAS 2.1 – Solving Routine and Non- routine Problems Involving


    Squares, Rectangles, Triangles, Parallelograms, and
    Trapezoids (M4ME-IVc-60)

    Development Team

    Writer
    Sheina V. Bueno, Teacher II, Bogñabong ES

    Editors/Reviewers
    Emelda D. Bien, Teacher II, San Lorenzo ES
    Jayson B. Baria, Teacher I, Magapo ES
    Efren B. Bonsa, PSDS
    Dioleta B. Borais, EPS 1, Mathematics
    Republic of the Philippines
    Department of Education
    Region V-Bicol
    SCHOOLS DIVISION OF TABACO CITY

    Name: _____________________________ Sec: __________ Date: __________


    Learning Area-Grade: Mathematics 4_______ Teacher: _____________________

    LEARNING ACTIVITY SHEETS NO. 2.1


    Solving Routine and Non- Routine Problems
    Objective
    Solves routine and non- routine problems involving squares, rectangles,
    triangles, parallelograms, and trapezoids.

    Learning Activity
    Problem solving is a mathematical process, in which it is regarded both as a
    method of teaching mathematics and the goal of learning mathematics. Problems in
    mathematics can be categorized into routine and non- routine. Routine problem
    solving concerns solving problems that are useful for daily living. They are mostly in
    the form of exercises. It can be solved using at least any of the four arithmetic
    operations.
    Non-Routine problems are word problems that we do not usually encounter.
    These are problems that have multiple solutions but do not have automatic solution
    on how to go about it. Solving non-routine problems would require us to think
    analytically based on the problem and to use our cognitive by using the critical and
    creative thinking skills.
    There are different ways in solving Non-Routine problems, such as guess and
    check, acting-it-out, make a systematic list, identifying a pattern, draw a diagram/
    picture, make a table or chart, write an equation, working backwards, etc.

    In solving problems, we use the 4- Step Plan:


    1. Understand the problem- know what is asked and the given facts in the
    problem. Identify also the words and phrases that will help you solve the problem.
    2. Plan- determine the operation/ formula/ appropriate strategy to be used.
    3. Solve- execute the operation/ formula/ strategy.
    4. Check and look back- check whether your answer make sense and write your
    final and complete answer.
    Example:
    A residential lot has the shape of a parallelogram. Its base measures 20 meters.
    The distance between the 2 parallel sides is 8 meters. What is the area of the lot?

    Step Answer
    1. Understand
    • the area of the lot
    a. What is asked?
    • Parallelogram- shaped lot,
    b. What are the given facts? base – 20 m, height- 8 m
    2. Plan
    a. What formula will you use? • A=bxh
    b. What is the number sentence?
    • A = 20 m x 8 m
    • 20 m x 8 m = 160 m2
    3. Solve
    a. Execute the formula

    4. Check and look back • The area of the lot with a


    a. Check whether your answer is correct and shape of a parallelogram is
    write your final and complete answer 160 m2.

    Practice Exercises
    A. Choose and encircle the letter of the correct answer.
    Krizten has a flower garden. The garden is triangular in shape. The
    length of the base is 8 meters, and the height is 6 meters. What is the area of
    the garden?
    1. What is asked in the problem?
    A. the shape of the garden C. the perimeter of the garden
    B. the area of the garden D. the length of the garden
    2. What are the given facts?
    A. triangular- shaped garden, base = 6 m, height =8 m
    B. rectangular- shaped garden, base = 8 m, height = 6 m
    C. parallelogram- shaped garden, base = 8 m, height = m
    D. triangular- shaped garden, base = 8 m, height = 6 m
    3. What formula will you use?
    1
    A. A = b x h B. A = 2 (b x h) C. A = l x w D. A = l x w x h
    4. What is the number sentence?
    1
    A. A = 8 m x 6 m C. A = 2 (8 m x 6 m)
    B. A = 8 m + 6m D. A = 8 x 6 x 8
    5. What is the final answer?
    A. The area of the garden is 24 m2.
    B. The perimeter of the garden is 24 m.
    C. The area of the garden is 48 cm2.
    D. The perimeter of the garden is 48 m.

    B. Solve the problem using the steps. Write your answers on the space
    provided.
    Mrs. Bueno bought a residential lot. It has a trapezoidal lawn with an
    upper base of 16 meters and a lower base of 30 meters. The distance between
    the parallel bases is 10 meters. What is the area of the lawn?

    1. What is asked in the problem?

    2. What are the given facts?


    3. What formula will you use?

    4. What is the number sentence?

    5. What is the final answer?

    C. Study the problem below, then solve.


    The length of a rectangle is 6 cm, and the width is 4 cm. If the length is
    greater by 2 cm, what should the width be so that the new rectangle has the
    same area as the first one?

    Final answer: ________________________________


    Evaluation
    Read and understand each problem. Solve and encircle the letter of your
    answer.
    1. A triangular pond has a base of 10 meters and a height of 6 meters. What is
    the area of the pond?
    A. 30 cm2 B. 30 m2 C. 60 cm2 D. 60 m2
    2. A lawn is to be planted with bermuda grass. How many square meters of
    grass will cover the lawn if it is 5 meters long and 4 meters wide?
    A. 20 m2 B. 20 cm2 C. 10 m2 D. 10 cm2
    3. Mr. Balderama bought a parallelogram- shaped lot. Its base is 36 meters and
    its height is 20 meters. What is the area of the lot?
    A. 360 cm2 B. 360 m2 C. 720 cm2 D. 720 m2
    4. A rice field in the shape of a parallelogram is 300 meters long. The
    perpendicular distance between the base and its opposite side is 80 meters.
    What is its area?
    A. 12 000 m2 B. 12 000 cm2 C. 24 000 m2 D. 24 000 cm2
    5. Maebelle bought a lot measuring 15 m long and 12 m wide. What is the area
    of the lot?
    A. 180 m2 B. 180 cm2 C. 90 m2 D. 90 cm2

    Answer Key
    Practice Exercises
    A. 1. B 2. D 3. B 4. C 5. A
    B. 1. The area of the trapezoidal lawn
    2. trapezoidal lawn, upper base – 16 m, lower base – 30 m, height – 10 m
    (𝑏 +𝑏 )ℎ
    3. A = 1 2
    2
    (16 𝑚+30 𝑚)10 𝑚
    4. A =
    2
    5. The area of the trapezoidal lawn is 230 m2.
    C. The width of the new rectangle should be 3 cm.

    References
    Mathematics 4, Learner’s Material pages 215- 218
    Mathematics 4, Teacher’s Guide pages 285- 290

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