MATH 4_Q1_WEEK3 powerpoint presentations

Learning Competencies
The learners will be able to:
• Find the perimeter of
quadrilaterals that are not
squares or rectangles

At the end of the lesson the learners will
be able to:
1. calculate the perimeter of parallelograms;
2. give the formula in finding the perimeter of
parallelogram
3. develop a sense of confidence in their ability
to apply perimeter formulas to different
quadrilaterals
Learning Objectives

Perimeter of a
Parallelogram
DAY 1

What do you know
about perimeter
and four-sided
shapes?

Calculate the perimeter of
the parallelogram PQRS.

Today you will learn
about how to find the
perimeter of
parallelograms.

Arrange the jumbled
letters.
1. E M A T P E E R R I
2. M A P A L L E O G L R
A R
3. I T A N D C E S
4. D I H T W
5. G E N H T L

Read, analyze and solve the story
problem.
Problem: Mang Pedro planted his
vegetable garden with varieties of
vegetable seedlings for his family. His
garden is in a shape of parallelogram with
a length of 50 m and a width of 20 m.
What is the total distance around Mang
Pedro’s vegetable garden?

MATH 4_Q1_WEEK3 powerpoint presentations

Answer the following questions:
1. What did Mang Pedro do to his vegetable
garden?
2. Why did he plant his garden with varieties
of vegetable seedlings?
3. What is asked in the problem?
4. What are the given facts that can help you
solve the problem?
5. What can you say about Mang Pedro?

To solve the given problem, we must find the
distance around Mang Pedro’s vegetable
garden.
Perimeter is the total distance around a
closed plane figure.
To determine the perimeter of the vegetable
garden of Mang Pedro, follow these steps:
1. Identify the length and the width of the
garden.
Length= 50 m Width = 20 m

2. Add the measurements of all the sides of the
garden.
Since the figure has 4 sides, we say that
Perimeter = length + length + width + width.
Then P= l + l + w + w

3.Using the formula you developed, substitute
the measurement of each side then add.
P = l + l + w + w
P= 50 m + 50 m + 20 m + 20m
P = 140 m
Therefore, the perimeter or the distance
around Mang Pedro’s vegetable garden is 140
meters.

Finding the Perimeter of Parallelograms
Using Another Formula
• Follow this formula.
P = (2 × length + (2 x width)
Ex. 1. Perimeter of
the parallelogram
shape garden.

• Therefore, the perimeter of the parallelogram
shaped garden is still the same even though
you use another formula.
P = (2 x Length) + (2 x Width)
P = (2 x 50 m) + (2 x 20 m)
P = 100 m x (40 m)
P= 140 m

1. What is Perimeter?
2. How do we solve for the
perimeter of a closed figure such
as parallelogram?
Generalizations And
Abstractions

be able to:
1. give the formula in finding the perimeter of a
rhombus
2. solve for the perimeter rhombuses following
the correct formula
Learning Objectives

Do you already
have an idea on
how to solve for the
perimeter of a
rhombus?

about how to calculate
the perimeter of
rhombuses and
understand how the
lengths of their sides
contribute to the
perimeter.

•A rhombus is a parallelogram with 4 equal sides.
•Its opposite sides are equal.

problem.
Problem:
Mang Jose built a rhombus-
study table for his son. The
sides of the table measure 35
cm. What is the perimeter of
the table?

1. What did Mang Jose build?
2. What is the shape of the table?
3. What is asked in the problem?
solve the problem?

How do we find the perimeter of the
rhombus table above?
To find the perimeter of a rhombus table as
illustrated above, follow these steps:
1. Identify the measurement of the side.
Side = 35 c

2. Since a rhombus has 4 equal sides, simply
add all the lengths of the sides.
P= Side + side + side + side
P= s + s + s + s

P= s + s + s + s
P = 35 cm + 35 cm + 35 cm 35 cm
P = 140 cm
Therefore, the perimeter of the figure
above is 140 cm.

Finding the Perimeter of Rhombus
• Follow this formula.
P = 4 x side or P= 4 x s or 4s
Ex. Perimeter of the
rhombusstudy-table

• Therefore, the perimeter of the rhombus
study table is still 140 cm even though you
use another formula.
Side length= 35 cm
P = 4 x side
P = 4 x 35 cm
P = 140 cm

• How to find the
perimeter of a rhombus?
Generalizations And
Abstractions

be able to:
1. give the formula in finding the perimeter of a
trapezoid
2. solve for the perimeter of trapezoids
following the correct formula
Learning Objectives

Perimeter of a
Trapezoid
DAY 3

Do you already
have
an idea on how to
solve for the
perimeter
of a trapezoid?

about how to calculate
the perimeter of
trapezoids and
understand how the
contribute to the
perimeter.

•A trapezoid is a quadrilateral with only one pair of
opposite sides that are parallel.

problem.
Problem:
Mrs. Mary Jane Reyes wants to stay fit, so she
walks around the trapezoidal park every day
before going to school. The park measures 35
m, 40 m, 55 m and 70 m respectively. What is
the total distance that Mrs. Camello covers
every day?

1.Who walks around the park every day
before going to school?
2. What is the shape of the park?
3.What is asked in the problem?
solve the problem?

To solve the given problem, we must know the
measurements of all the sides of the park.
The lengths of the sides of the trapezoidal
park are as follows:
Side 1 = 35 m
Side 2 = 40 m
Side 3 = 55 m
Side 4 = 70 m
Questions: 1.What to do with the sides?

• Add the measurements of all the sides.
P= side1 + side 2 + side 3 + side 4
P= s1 + s2 + s3 + s4
P= 35 m + 40 m + 55 m + 70 m
P = 200 m
Therefore, the perimeter of the
trapezoidal park is 200 m.

How do we find the perimeter of this figure?
• To find the perimeter of a trapezoid, simply add
all the lengths of the sides.
P= Side1 + side2 + side3 + side4
P = 35 m + 40 m (two parallel sides) + 55 m + 70 m
(Two non-parallel sides)
P= 75 m + 125 m = 200 m
Therefore, the perimeter of the figure above is 200
m.

Finding the Perimeter of Trapezoid
P = side 1 + side 2 (parallel sides) + side 3 + side 4
(nonparallel sides)
P = side 1 + side 2 35 cm + 40 cm (parallel sides) + 55
cm + 70 cm (non-parallel sides)
P = 75 cm + 125 cm
P 200 cm
Therefore, the perimeter of the trapezoidal park is
still 200 cm even though you use another formula.
Example: Finding the Perimeter of trapezoidal park from the given
problem

• How to find the perimeter
of a trapezoid?
Generalizations And
Abstractions

be able to:
1. solve for the perimeter of other trapezoidal
shapes following the correct formula
Learning Objectives

Perimeter of a
Trapezoid
DAY 4

Compute the perimeter of the following
trapezoidal shapes.

Today you will learn about
different trapezoidal
shapes of different
measurements and simple
problems on the perimeter
of trapezoids and
understand how the
contribute to the perimeter.

•Perimeter is the total distance around a closed plane
figure.
•A trapezoid is a quadrilateral with only one pair of
opposite sides that are parallel.

problem.
Problem:
A trapezoidal frame bought by my brother
has the following measurements: 60 cm, 65
cm, 80 cm, and 95 cm. What is its
perimeter?

1.Who bought a frame?
2.What is the shape of the frame?
3.What is asked in the problem?
solve the problem?

To solve the given problem, we must know the
measurements of all the sides of the frame.
1. What are the measurements of the sides
of the frame?
● The measurements of the sides of the
frame are as follows: 60 cm, 65 cm, 80 cm,
and 95 cm.

• What will you do again with the
sides in order to find its perimeter?
• Can anyone solve and show the
correct formula and the number
sentence of it?

be able to:
1. solve for the perimeter of quadrilaterals such
as parallelogram, rhombus, and trapezoid.
2. follow the correct formulas in solving for the
perimeter of quadrilaterals
Learning Objectives

Perimeter of
Quadrilaterals
(Parallelogram,
Rhombus and
Trapezoid)
DAY 5

Compute the perimeter of the different
quadrilaterals such as parallelogram,
rhombus, and trapezoid.

Today you will learn about
different quadrilaterals such as
parallelogram, rhombus and
trapezoid.
The goal is to apply the
concept of perimeter to these
specific shapes and discover
the relationship between their
side lengths and the perimeter.

• Perimeter is the total distance around a closed plane
figure.
• A parallelogram is a quadrilateral with 2 pairs of parallel
sides and its opposite sides are equal.

problem.
Problem:
Ana gave her friend a rhombus mirror as a
simple gift for her birthday. The mirror has a
length of 24 cm. What is its perimeter?

1. Who gave a gift to her friend?
2. Why did she give a gift to her friend?
3. Do you also give gifts to your friends during
birthdays?
4. What is the shape of the mirror given by
Ana? 5. What is asked in the problem?
solve the problem?

• Divide the class into 4.
• Show a visual representation of the
rhombus mirror in a form of drawing and
label the correct measurements.
• Then, solve for the perimeter using the
correct formulas.
• Present your output after working.
Group Activity:

1.What is perimeter?
2. How do you find the perimeter of
closed figures?
3. What are the formulas used in solving
for the perimeter of parallelogram,
rhombus, and trapezoid?
Generalizations And
Abstractions

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