School: Grade II

MATATAG Level:
K to 10 Name of Teacher Learning Mathematics
Curriculum Area:
Weekly Teaching Dates and JUNE 16 – 20, 2025 (WEEK 1) Quarter: First
Lesson Log Time:

DAY DAY DAY DAY 4

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I. CURRICULUM CONTENT, STANDARDS, AND LESSON COMPETENCIES
A. Content: Geometry and Measurement

B. Content The learners should have knowledge and understanding of circles, half circles, quarter circles, and
Standards composite figures made up of squares, rectangles, triangles, circles, half circles, and quarter circles.
C. Performance By the end of the quarter, the learners are able to:
Standards  represent and describe circles, half circles, and quarter circles.
 compose and decompose composite figures made up of squares, rectangles, triangles, circles, half
circles, and quarter circles.
D. Learning The learners:
Competencies  represent and describe circles, half circles, and quarter circles; and
 compose and decompose composite figures made up of squares, rectangles, triangles, circles, half
circles, and quarter circles, using cutouts and square grids.

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E. Learning At the end of the At the end of the At the end of the At the end of the lesson,
Objectives lesson, the learners lesson, the learners lesson, the learners the learners are able to
are able to: are able to: are able to: decompose composite
 represent and  compare circles; and  represent and figures made up of two or
describe a circle;  distinguish a circle describe a half- more familiar shapes
and from a rectangle, circle and a quarter (square, rectangle,
 identify real-life a square, and a circle, and triangle, circle, half circle,
objects that triangle.  identify real-life quarter circle).
represent a circle. objects that
represent a half-
circle and a
quarter circle.

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Activating Ask the learners to look Prepare three different Show a circular plate to Show a rectangular
Prior around the classroom cutouts of each shape: the learners and then cutout. Tell the
Knowledge and name objects that circle, rectangle, trace its outline on the learners that they will
have a rectangle, a square, and triangle. board. review decomposing a
square, and a triangle. given shape into
Then, have the learners Randomly place these What shape is this? It is familiar shapes, which
describe a rectangle, a cutouts on the board. a circle. they did in Grade 1.
square, and a triangle. Have the learners
group these cutouts How do you know it is Ask them what
It is most likely that according to shape. a circle? It is a circle decomposing a shape
the learners will because it is round and means. Decomposing
describe each shape has no sides and a shape is breaking a
according to its sides corners. shape into two or more
and corners. parts.

A rectangle has four To help them recall

sides and four square decomposing a shape,
corners. say that you will
A square has four sides decompose the
of equal lengths and rectangular cutout into
four square corners. two smaller rectangles.
A triangle has three
sides and three corners. Demonstrate how to do
it.
Have them define a
side and a corner. Check the groupings
done. Ask them to
Note: A rectangle, a identify each group of Say: What I did was to
square, and a shapes. decompose the
triangle have been rectangle into two
discussed in Grade 1 smaller rectangles.
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as well as side,
corner, and square
corner.

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 A side is a straight Give each pair of
line that is a Expected answers: learners a rectangular
boundary of the cutout. Have them
shape. decompose it into two
A corner is a point or more shapes (e.g.,
where two sides meet. two triangles, a square,
and two triangles). Call
In addition, ask the some learners who
learners to point at the have different ways of
corners and sides of Rectangle Circle decomposing the
each shape. rectangle to show and
explain their work.

Triangle Square

Have the learners

describe each set of
shapes.
Lesson To describe a circle and To compare circles and To describe a half- To decompose a figure
Purpose/ identify circles in their distinguish a circle from circle and a quarter into two or more
Intention surroundings a rectangle, a square circle familiar shapes using
and a cutouts and
triangle a square grids
Lesson circle, round, rectangle, square, circle, one-half, decomposing, half
Language corners, sides triangle, circle, corners, straight line, side, one circle, quarter circle,
Practice sides, big, quarter, square,
small quarter circle, half-circle rectangle, triangles

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Reading the Key
Idea/Stem

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Developing Show a clock in the Post the following Prepare several circular Post the figure on the
Understanding shape of a circle. Ask table on the board. cutouts of the same board. It is composed
of Key Ideas/ the learners to Have this table sizes beforehand. of a triangle and a
Stem determine the shape of prepared beforehand. square.
the clock. Learners Have the learners work
may have an intuitive in pairs. Distribute a Provide a copy of the
idea about a circle and cutout to each pair. Tell figure to each pair of
be able to tell the them to divide the learners and tell them
shape of the clock circle into two equal to decompose the
presented. Tell the parts. Assist the figure into familiar
learners that they will learners in using the shapes.
learn about this shape scissors to divide the
today. cutouts.

Using the shapes Note: Remind the

they classified learners to be
before, have some careful in using
learners post the scissors. Give time for the
same shapes in a learners to think. Then,
row. Once they are done, ask for their ideas.
Ask a learner to trace ask the learners to
the shape of the clock The order in which the show their work by How did you
on the board. Assist the shapes are placed may raising them for you to decompose this figure?
learner when needed. be different from the see. Then, ask the
table shown below. following questions: Call some learners to
Expected drawing: Accept it if the same share their ideas. Let
shapes are in the same Into how many equal them post their
row. parts did you divide answers or
the circle? We divided decomposed figure on
the circle into two the board.
equal parts.
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Ask the following What do we call each Possible answers:
questions: part? Each part is 1. a square and a
called one- half. triangle
1. What do you notice Why do you say each
about the shape part is one-half? One-
drawn on the half is one part of a
board? It is round. whole that has been
divided into two equal
2. Does the shape parts. Let the learners verify
have sides? No, it that it is a square.
does not have Post a circular cutout
sides. Have some learners on the board. Beside it, 2. a triangle and
write the name of each post the two halves, two rectangles
How do you know? It group of shapes in the each
does not have a 2nd column. Once labelled 1 .
2
straight line as its completed, have the
boundary. learners read the name
of each shape. 1 1
3. Does the shape have 2 2

corners? No, it does If nobody came up with

not have corners. this answer, you may
show how to
Say: This one-half of decompose the figure
How do you know? the whole circle is
Clearly, since the into a triangle and two
called a half-circle. rectangles.
shape has no sides,
then it does not have Write half-circle
a pointed part where Tell the learners that
under each one-half you will give another
two sides meet. part. figure for them to
We call a round shape decompose. They may
with no sides and 1 1 decompose it into
2 2
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corners a circle. familiar shapes like
half-circle half-circle
square, triangle,
rectangle, circle,

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Write this definition of Next, ask a learner to How do you describe half-circle, and quarter
a circle on the board. complete columns 3 a half-circle? A half- circle.
and 4 of the first row. circle is one-half of a
Let that learner explain circle. Let the learners work
his/her answers. Verify in pairs. Give each pair
the correctness of the Tell the learners that two copies of the
learner’s answers by a half-circle is also figure below.
getting one of the called a semi-circle. Challenge them to
shapes in that row and decompose the figure
asking the other How many half-circles in two different ways.
learners count the are there in a circle?
sides aloud as you There are two half-
point at them one by circles in a circle.
one. Then, have them
count the corners aloud Give each learner a
as you point at them copy of LAS 1. Be sure
one by one. that the learners have
understood the Some possible answers:
Do the same with the instructions before
other shapes. Once allowing them to
completed, the table answer.
should look like the one
below. When the learners are
done, discuss their
answers. It is important
to discuss why the
other shapes are not
half circles.

Expected
answers: A, C,
1
0
 and E

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Direct learner's Post learners’ answers
attention to the that are unique on the
completed table. Ask board.
the learners the Have them identify the
following questions: shapes into which the
given figure was
Note: Include decomposed.
questions that will
make the learners For half-circles and
recall the similarities quarter circles, have
and differences of a the learners check and
rectangle, a square, verify using a whole
and a triangle, which circle. Provide a
they studied in Grade circular cutout that
1. matches the size of the
half and quarter circles.
1. How do you compare
a rectangle and a
square? Both a
rectangle and a
square have four
sides and four square For square, have them
corners. All the sides verify if the lengths of
of a square are of all the sides are the
equal lengths, or the same.
two pairs of opposite
sides are of equal For the next task, have
lengths. In a the learners work in
rectangle, the two groups.
pairs of opposite Tell them that you will
sides may have give another figure for
1
2
different lengths. them to decompose
into familiar shapes
like triangle,
square, rectangle, circle,

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2. How do you half-circle, and quarter
compare a circle. Have them
rectangle and a identify the shapes
triangle? A into which the given
rectangle has four figure was
sides and four decomposed.
square corners,
while a triangle has Provide each group
three sides and with Manila paper,
three corners. scissors, masking tape,
and three copies of the
3. How do you compare following figure.
a square and a
triangle? A square
has four sides and
four square corners,
while a triangle has
three sides and three
corners.

4. How do you compare

a circle from a
rectangle and a
square? A circle has
no sides and corners, Note: Remind the
while both a learners to be
rectangle and a careful in using the
square have four scissors.
sides and four
square corners.

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5. How do you
compare a circle and
a triangle? A circle
has no sides and
corners, while a
triangle

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 has three sides and
three corners. Possible answers:

Reiterate that a shape

that is round and has
no sides and corners is
called a circle. A
rectangle, a square,
and a triangle have
sides and corners,
while a circle has none.

Let the groups present

their work. Have them
identify the shapes
into which the given
figure was
decomposed. For half-
circles and quarter
circles, have the
learners check and
verify using a whole

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 circle. Provide a circular

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 cutout that matches
the size of the half and
quarter circles. For a
square, let them verify
if all sides are equal in
length.

You may prepare

beforehand some
possible ways of
decomposing the given
figure. You may just
show this after the
learners
have presented their
work.
Deepening Ask the learners to go Direct learners’ Have the learners show Present the following
Understanding around the classroom attention to the circles their two half-circles. figure on a grid. Be
of Key and look for objects with posted on the table Ask them to divide sure you have several
Ideas/Stem the shape of a circle. shown before. Point at each half- circle into copies of this.
Have the learners show them. two equal parts.
the objects they chose.
We said that each of Once they are done,
Have some learners these shapes is a circle. ask the learners to
with objects having What is a circle again, show their work by
different sizes of circles class? A circle is a raising them for you to
trace the outline of shape that is round see.
their objects on the and with no sides and
board. corners.

Ask the learners what Ask the learners to

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they see on the board. compare the sizes of Tell the learners that
We see circles of these circles. The Ask the following they will decompose
different sizes. circles have different questions: the figure into two or
sizes. more parts.

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Have them explain why Point at the smallest How many half-circles Give them time to
each of the shapes circle and ask: do you have? We think of possible ways
drawn on the board is What makes this circle have two half-circles. to decompose the
a circle. different from the other Into how many equal figure with their
Each shape has no sides two circles? It is the parts were each half- seatmate.
and corners. smallest among the circle divided? Each
three circles. half-circle was divided Call on one learner to
into two equal parts. decompose the figure
Next, point at the and ask him/her to tell
biggest circle. and ask: Post the following the shapes into which
illustration on the the figure was
What makes this circle board. Explain what decomposed.
different from the other they did from the start.
two circles? It is the Point to the illustration You may prepare
biggest among the three while explaining. beforehand some
circles. possible ways of
decomposing the given
Can circles have 1 1 figure. You may just
different sizes? Yes, 2 2 show this after the
circles can have learners have presented
half-circle half-
different sizes. circle their work.

Example:

First, we have a
whole circle. Then,
we divided the circle
into two equal

2
0
 parts. Each part is one-
half one half-circle, one
quarter circle, one
rectangle

2
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 of the whole circle. We Ask the learners to
called one-half of a check and verify that
circle as half-circle. indeed they are half
Next, we divided each and quarter circles.
half-circle into two
equal parts. The whole Call two more
circle has been divided learners to present
into four equal parts. their ideas using
separate grid papers.
If we divide a whole
circle into four equal Some possible answers:
parts, what part of the
whole circle is each 1. one half-circle, one
part? Each equal part is quarter circle, two
one-fourth of the circle. triangles

Label each part 1.

4

1 1
2 2

half-circle half-circle

1 1
4 4
1 1
4 4

Say: This one-fourth of

the whole circle is
called a quarter-
circle.
2
2
 Write “quarter circle”
under
each one-fourth part.

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 2. one half-circle,
1 1
2 2
one quarter
circle, two
half-circle half-circle rectangles.

1 1
4 4
quarter circle quarter
circle

1 1
4 4
quarter circle quarter
circle

How do you describe a

quarter circle? A quarter
circle is one-fourth of a 3. three quarter
circle. circles, one
rectangle
Is a quarter circle one-
half of a semi-circle?
Yes, it is.

Reiterate this
relationship of a half-
circle and a quarter
circle using the
illustration.

Provide each learner

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 with
LAS 2. Be sure that the
learners have
understood

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 the instructions before 4. three quarter circles
allowing them to and two squares
proceed.

When the learners are

done, have a class
discussion of the
answers.

Expected
answers: B, D,
and E
Making To summarize the To summarize the To summarize the To summarize the
Generalizations lesson, ask learners the lesson, ask the learners lesson, ask the learners lesson, ask the
following: the following: the following: learners the following:

What is a circle? What makes a circle What is a half-circle? How do we decompose

A circle is a round shape different from a A half circle is one-half a figure? We break the
with no sides and rectangle, a square, of a whole circle. figure apart into two or
corners. and a triangle? A circle more parts.
is a round shape and What is another name
Show different objects has no sides and for half-circle? It is also
to the learners. Ask corners. A rectangle, a called semi-circle.
them to tell which of square, and a triangle
the objects has a are shapes with sides What is a quarter
circle. Have them point and corners. circle? A quarter circle
the circle in the object. is one- fourth of a
Can a circle be big or whole circle. It is also
small? Yes, circles can one-half of a half-
have different sizes circle.

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Evaluating Ask the learners to Ask the learners to Ask the learners to Ask the learners to
Learning answer answer answer answer
Assessment 1. Assessment 2. Assessment 3. Assessment 4.

Expected answers: Expected answers: Expected answers: Possible answers:

Shapes A, O, E, and I. 1. A 1. a half-circle, a
M 2. C rectangle, and a
II. 1. T triangle
2. F
3. F
4. T
5. F 2. two quarter circles,
a rectangle, and a
triangle

3. a half-circle, two
squares, and a
triangle

Additional
Activities for
Application or
Remediation
(if applicable)

A. References

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1. Teacher’s
Guide

2
8
2. Learner’s
Materials

3. Textbook

4. Additional
Materials
from
Learning
Resource
(LR) Portal
B. Other
Learning
Resources

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