A Detailed Lesson Plan in Mathematics 7
I. OBJECTIVES
A. Content standard
The learners demonstrate the understanding of key concepts of geometry of shapes and
sizes, and geometric relationship.
B. Performance standard
The learners are able to create models of plane figures and formulate and solve
accurately authentic problems involving sides and angles of a polygon
C. Learning competency
MGE-IIIa-2
II. CONTENT
Subsets of lines
III.LEARNING RESOURCES
Mathematics learner’s materials 7
TECHERS ACTIVITY
STUDENTS ACTIVITY
A.
Our topic last meeting is all about the points,
plane, and line.
And what are they class?
Sir they are the basic terms of geometry,
Very good! Other than that, what are the other
terms?
One of the students is raising her hand!
Yes Nica!
Very good Nica!
Sir, sir?
Sir the other terms are the, collinear, coplanar,
concurrent, skew line, parallel line, and
intersecting line,
All of are very good, because you really
understand our lesson.
(10 claps for all of you!)
1,2,3,4,5,6,7,8,9,10
B.
Our new topic for today is all about the subsets of
line. First let us identify what they are.
Who knows among you the subsets of line?
(one of the student raise his hand)
Yes Macon?
Sir?
The line segment and the ray are some of the
subsets of a line.
Very good Macon!
(The teacher will now post the meaning of line
segment.)
Line segment- is a line that has two
endpoints.
Line segment- is a line that has two
endpoints.
Who wants to read?
Thank you!
Now let’s have an example of line segment.
ABCD
Now who wants to define this line segment?
Sir?
Yes Anna?
Sir we can say that the point AD is a line segment.
Then the point A, B, C, and D are on line segment
AD. In notation we write AD or simply AD. We
can also name it as DA or DA.
Very good Anna!
Thank you sir!
I have here another example, who wants to try this?
E
F
G
H
I
J
One of the students is raising his hand!
Sir, sir!
Yes Devon?
FH is a segment. The points F, G, and H are on
line segment FH. The points E, I, and J are not on
the line segment FH. In notation, we write FH.
We can also name it as HF or HF
Very good Devon!
Okay! Addition to that let’s define what is congruent
segment.
(the teacher will post the definition of congruent
segment)
Congruent segment- is the line
with the same length.
Who wants to read?
Sir?
Yes Christian?
Congruent segment- is the line
with the same length.
Thank you Christian!
Is it already clear to you class? Did you understand
it?
Yes sir!
C.
Now try this one!
A
1
B
2
3
4
C
D
5
6
E
7
8
F
G
9
10 11
Given the points on the number line, determine the
length of the following:
a)
b)
c)
d)
e)
f)
g)
h)
AB=
DE=
BD=
DF=
AC=
DG=
BE=
CG=
a)
b)
c)
d)
e)
f)
g)
h)
D.
Now let’s try to identify the segments that are
congruent.
If you want to answer just raise your hand! Is it clear
to you class?
Yes sir!
2
2
3
3
4
4
5
5
J
K L
M
-7 -6 -5 -4 -3 -2 -1 0 1
N
O
2 3
P Q
R
4 5 6 7 8 9 10
JK and MN
KL and PQ
JL and PR
KN and OR
Is it clear to you class?
Yes sir!
Okay very good!
Thank you sir!
E.
Since that you already understand the line segment
and congruent line, let’s proceed to ray.
Who among you knows the definition of ray?
None sir!
(the teacher will post the definition of ray)
Ray- is also a part of a line but has only one
endpoint, and extends endlessly in one
direction.
Who wants to read the definition of ray?
Sir, sir?
Yes Marco?
Ray- is also a part of a line but has only one
endpoint, and extends endlessly in one
direction.
Thank you Marco!
Now let’s try to define this ray. Is there anyone who
wants to define this ray?
None sir!
A
B
C
Okay let me discuss this first. Listen quietly, because
for the next example I will call one from you to
explain the given.
Understand class?
Yes sir!
This given is ray AB. We can also name it as ray AC.
In symbol, we write AC. The points A, B, C are on ray
AC.
Understand class? Is it clear to you?
Yes sir!
Now! try this one Tuesday,
Okay sir!
D
E
F
G
This is ray DE. But we can also name it as ray DF
or DG. The points D, E, F, G are on ray DE
Very good Tuesday!
(10 claps for her)
1,2,3,4,5,6,7,8,9,10
Did you understand class? Are the examples clear to
you?
Yes sir!
Okay!
F.
Now let’s have this activity to determine, if you
really understand our lesson.
This is ray ML.
H I J K
L M
1. How else can you name this ray?
1. Rays MK, MJ, MI, and MH
2. What are the points on ray QR?
N
O
P
Q
R
S
T
U
2. Q, R, S, T, and U
3. How else can you name ray QR?
3. Rays QS, QT, and QU
A
B
C
D
E
F
G
H
I
J
4. What are the points on ray DE?
M N O P Q R S T U V W X Y
4. Points D and E
5. What are the points on ray XU?
5. Points X, W, V and U
G.
For your journal entry #3, make a short essay on
how important is our topic to your life.
H.
For this day will have a group activity, so I will group
you into 3 groups.
(count from 1 to 3)
Is it clear to you class?
Provide each group your own examples of line
segment, ray, giving the name and other possible
names, then the points that can be found in the line
segment and ray.
Is it clear to you class?
Yes sir!
I.
Okay, class get one whole sheet of paper. We will
have a quiz.
I. Give the definition of the following:
1. Line segment
2. Congruent segments
3. Ray
I.
II. Given the figure below, answer the following:
A B
C
D
E
F
G
H
I
J
Name other points which are on line segment AD.
Name other points which are not on line segment
AD
Name other points which are on line DH.
Name other points which are not on line segment
DH.
1. Line segment is part of a line that has
two endpoints.
2. Congruent segments are segments
having the same length.
3. Ray is also part of a line that has only one
endpoint and extends endlessly in one
direction,
II.
1.
2.
3.
4.
Points A, B, C and D
Points E, F, G, H, I and J
Points D, E, F, G, and H
Points A, B, C I and J
1.
2.
3.
4.
Rays EG, EH, and EI
Points E, F, G and H
Ray GI
Points E, F and G
III. Given the figure below, answer the following:
E
F
G
H
I
How else can you name ray EF?
What are points on ray EH?
How else can you name ray GH?
What are points not on ray HI?
III.
J.
Given the figure below, answer the following
questions:
H I
J
K L M N O P Q R
Name the points which are on the line segment HL.
Name other points which are not on the line
segment JQ.
S
T
U
V
W
X
Y
1. Points H, I, J, K and L
2. Points H, I and R
Z
What are points on ray WZ?
How else can you name ray XY?
1. Points W, X, Y and Z
2. Ray XZ