COMPILATION
OF
DETAILED LESSON PLANS
IN
TEACH 122
(PRINCIPLES OF TEACHING II)
Submit by:
Carlito Regua Jr (BSE-II-MATH)
Submitted to:
Dr. Cezaria Romo
Detailed Lesson Plan
in Third Year
(first grading)
I-Objectives:
At the end of the lesson, the students are expected to
A. Define ray and angle by their own words.
B. Determine the figure of a ray and angle.
C. Differentiate the ray and angle.
II-Subject Matter:
Rays and Angles
Materials: ruler
III- Strategy/Subject Matter
a) Review
Teacher’s Activity Student’s Activity
Good Morning children…. Good Morning Sir…….
Can you look/observe the things that (Students will follow)
surrounds you…like the door,
Windows and the wall.
Then look at the corners the (Students will follow)
things that you are looking for..
What can you see children, which is Sir!
related to our lesson?
Yes! Jun As I look at the corners
of the blackboard, I
observe that there is an
angle form w/c
is the right angle.
Very good Jun…..
Who else? Sir!
Yes! Wilma As I look at the
window, I observe that
there is a or a ray.
Very good Wilma….
Now… do you have an idea Sir!
of what will be our lesson
for today?…
Yes, Cleofe….. I think our lesson for
today is about, rays and
angles.
Yes it is… Very good Thanks Sir!
Cleofe…..
b) Presentation
Teacher’s Activity Student’s Activity
So.. Class our lesson for today is about Yes it is Sir!
ray and angle, as you observe at the
blackboard and also the window that
It is form by a line and an angle, isn’t it?
c) Discussion
Teacher’s Activity Student’s Activity
Then, we will define first what is a ray Sir!
and angle. First will be ray. Who will define
It??
Yes, Helen… Ray is a straight line
made up of points.
Very good, Helen. (students will take
And another definition is, a Ray is a subset of down note of the
line, w/c has one endpoint. definition)
Just like this….
A O B
The ray OA and OB are opposite rays.
Next, is angle, who will define angle? Sir!
Yes Lency…. An angle is made up of
two rays.
Very good… Lency… it is made up of (students will take
two rays, and with a common endpoint down note of the
and w/c are not in the same line definition)
Like the corners of the door, your tv,
and everything that made up of two
rays, that is what we call angle.
Just like this ……..
The two rays extending indefinitely in space
are the sides of the angle. Ray OA and
ray OB are the two sides of angle AOB.
The common endpoint of the sides of an
angle is called the vertex. Point O is the vertex
of angle AOB.
An angle is named using a no. vertex, or the vertex
and two points on each side of the angle.
d) Generalization
Teacher’s Activity Student’s Activity
Did you undeerstand class? Yes sir!
Once again what is
a ray? a ray is a subset of points w/c has an
Endpoint. And angle is made up of two rays.
e) Drill
Teacher’s Activity Student’s Activity
So, class, bring out a scratch paper, and answer Yes, sir!
this….
Using the figure below answer the questions below the figure.
What are the opposite rays?
What are the opposite angles?
What is the common side of angle 1 and 2?
Which angles have the common ray EB?
Which angles have point B as its vertex?
f) Evaluation
Teacher’s Activity Student’s Activity
Now bring out one half sheet of paper and answer Yes sir!
This….
Direction: Use the figure to answer each of the
following questions below.
Which rays are opposite rays?
What is another name for angle two?
What is the vertex of angle 3?
Which are the sides of angle COD?
What is the vertex of angle 1?
Which is the common side of angle 3 and angle 4?
Which angles have ray OB as a side?
Which points lie in the interior of angle BOE?
Which points in the exterior of Angle BOD?
Which angles have point O as their vertex?
Detailed Lesson Plan
in Third Year
(second grading)
I-Objectives:
At the end of the lesson, the students are expected to
A) Name the two congruent triangles.
B) Name the two congruent triangles in terms of letters.
C) Name the two congruent angles of a triangle
II-Subject Matter:
Congruent Triangles
Materials: ruler
III- Strategy/Subject Matter
a) Review
Teacher’s Activity Student’s Activity
Good Morning children…. Good Morning Sir……
Let’s have a review, what did we discussed Sir!
Yes! Albert… We discussed about
last meeting? triangles…
Very good Albert…. What else? Sir!
Yes! Antony? We discussed also
about the
parts of a triangles w/c
is two legs and the
hypotenuse.
Yes, Very Good Antony…
Very Good class you had
remember all the topics that we discussed
last meeting.
b) Presentation
Teacher’s Activity Student’s Activity
But now our lesson is about Yes sir!
congruent triangles. So just listen
and relax. If you have questions just
raise your hand. Ok???
c) Discussion
Teacher’s Activity Student’s Activity
What is again triangle? Hannah? It is a plane figure
with three sides.
Yes very good. In congruent angles,
you have to look at the figure if what are the
congruent sides of a triangle. Like for example..
In the figure, EDF and BAC angle EDF is congruent to angle BAC.
ray BC is congruent to ray EF.
Angle ABC is congruent to DEF.
Another example:
In, PQR SQR
Segment PQ Segment SQ
Segment PR Segment SR
Segment QR Segment QR
Angle QPR angle QSR
Angle PQR angle SQR
Angle QRP angle QRS
d) Generalization
Teacher’s Activity Student’s Activity
Did you understand class? Yes Sir!
So, remember, two triangles are congruent
if and only if their vertices can be paired
so that corresponding sides are congruent
and corresponding angles are congruent. Ok? Yes Sir!
e) Drill
Teacher’s Activity Student’s Activity
So lets have a practice, bring out your notebook, Yes Sir!
Answer the following using the figure.
What are the congruent angles?
What are the congruent segments?
Finish children? Yes Sir!
Ok! Let’s answer, no. 1 what are the Angle ABO CDO
congruent angles? Angle OCD OAB
Very good, No. 2 What are the congruent Segment CD BA
segments? Segment BO DO
Segment CO AO
Very good children!
f) Evaluation
Teacher’s Activity Student’s Activity
Are you ready for a quiz? Yes Sir!
So bring out one whole sheet of paper and answer the ff. (students will bring out
a sheet of paper)
Direction: For the overlapping congruent triangles
at the figure below, list corresponding congruent parts.
g) Assignment
Read about the properties of congruence.
Detailed Lesson Plan
in Third Year
(third grading)
I-Objectives:
At the end of the lesson, the students are expected to
A) Define what is a Circle and its radius, chord, diameter, secant, tangent ,
interior and exterior.
B) Determine the radius, chord, diameter, secant, tangent , interior and exterior
of a circle.
C) Differentiate the chord, diameter, secant, tangent , interior and exterior of a
circle.
II-Subject Matter:
The Circle
Materials: Protractor and a ruler
III- Strategy/Subject Matter
a) Review
Teacher’s Activity Student’s Activity
Good Morning children…. Good Morning Sir……
Let’s have a review, what are the topics that Sir!
we discussed last meeting?
Yes, Mark! We discussed about
triangles sir!
Very good, Mark so now, can you please look (students will follow)
at the face of your seatmate.
What is the shape of the face of your seatmate? Sir!
Yes Analyn! As I look at the face of
Joan, I observe that it is
oval.
Yes, another? What about you james? It is also oval Sir!
Ah, if it is the same, look again to your seatmate (students will follow)
and try to look at her/him eye to eye and observe
if what is the shape of his/her eye ball.
So, what had you observe, June? Sir! It is circle.
Very good, June. So class, do you have an Sir!
idea of what will be our lesson for today?
Yes Myra! Sir, I think we will be
discussing about
circles!
Yes your right Myra.
b) Presentation
Teacher’s Activity Student’s Activity
So class our lesson for today is about circles. Ok Sir!, lets start……
We will be discussing about circles and its parts.
c) Discussion
Teacher’s Activity Student’s Activity
Anyone who would define circle? Sir!
Yes, Wilmer! Circle is made up of
curves…
Very good, Wilmer. Another definition is, Circle
Is a set of points on a given plane, which is
equidistant from a fixed point called the center.
And the circle is the most symmetrical of all
mathematical curves. Given any object, circular in form,
notice that all along its edges have the same distance from
the center. Usually, circles are named by their centers.
For example,
The figure shows a center O, and thus, called circle O.
Now lets go to the parts….
Radius - is a segment whose endpoints are the
center of the circle and a point on the circle.
The plural form of radius is radii.
In the figure, Segment OT is a radius of circle O.
Chord- is a segment whose endpoints are the points
on the circle.
In the figure, Segment PS is a chord.
Diameter- is a chord containing the center.
All diameters of a circles are equal.
In the figure, Segment PR is a diameter.
Secant- a line which intersects the circle at two
distinct points.
In the figure, Line PT is a secant.
Tangent-is a line on the plane of a circle that
intersects the circle in exactly one point,
and this point is called the point of tangency.
In the figure, Line QR is a tangent
Interior- set of points whose distance from
the center is less than the radius.
In the figure, point N is the interior of the circle.
Exterior- Set of points whose distance from the
center is greater than the radius.
In the figure, point Q is the exterior of the circle.
d) Generalization
Teacher’s Activity Student’s Activity
Did you understand class? Yes sir!
Very good. So I repeat the circle is made up of a
curves and it has parts like the chord, diameter,
secant, tangent , and its interior and exterior points.
e) Drill
Teacher’s Activity Student’s Activity
So let’s have a practice,
Bring out your notebook and answer this. (the students will
follow)
Direction: Given the figure below, answer the
following that follows the figure.
If the point O is the center of the circle,
Identify all the congruent segments.
Identify the radius.
Identify the diameter.
Are you through? Yes sir!
So, let’s answer now, can you please answer segment OE OB
joana the no. 1 and write it on the blackboard. segment OD OA
No. two will be June. DO,AO, EO BO, CO
And the last, will be Myra. Line AD
All, your answers are correct, very good.
f) Evaluation
Teacher’s Activity Student’s Activity
Are you ready for a quiz? Yes we are sir!
Ok, Bring out, one half sheet of paper. (the students will
follow)
Direction: Indicate whether each of the following
statement is true or false.
All radii of a circle are congruent.
A radius is a chord of a circle.
A line may intersect a circle at exactly one point.
A circle and a line may have three points in common.
Every chord of a circle contains two points of the circle.
A chord is not a diameter.
A secant contains a chord.
A tangent passes through the center of the circle.
A tangent to a circle intersects a radius.
All radii have the same measure.
g) assignment
Read and try to understand the arcs and angles,
because it will be our next lesson.
Detailed Lesson Plan
in Third Year
(fourth grading)
I-Objectives:
At the end of the lesson, the students are expected to
A) compute the distance of points by using the distance formula.
B) compute the midpoint of points by using a midpoint formula
II-Subject Matter:
Computing the distance and midpoint of a point on a line
Materials: Graphing paper, ruler, pencil
III- Strategy/Subject Matter
a) Review
Teacher’s Activity Student’s Activity
Good Morning children…. Good Morning Sir……
What is the farthest place that you have been reach? Sir!
Yes Mark… Sir I think its in
Tagaytay.
Very good, mark… how about you jane? Sir for me I think, it is
in Olongapo.
Ohh…; really? Do you have some relatives Yes, I have sir.
there in Olongapo?
Can you tell to us Jane if what is that place
at the middle from vigan to Olongapo? Sir I’m sorry but I can’t
tell because when the
time that I went to
Olongapo, I was still
baby.
Ah.. ok! Thank You…. Same to you sir….
But if we are refering from chowking at Lagoon….
plaza maestro to Mart one. What will be
the place at the midpoint?
Yes it is very good.
So now, do you have any idea
of what will be our lesson for
today? Sir..
Yes! Myra? Sir, I think it is all about
the distance of a point
and its midpoint.
Yes, Very good, Myra.
You are so good… for this
day ah?
b) Presentation
Teacher’s Activity Student’s Activity
So, class last meeting we discussed
about cartesian coordinate plane but now
we will be discussing about on how to
compute the distance of a point to another
point and to compute the midpoint using
the midpoint formula.
c) Discussion
Teacher’s Activity Student’s Activity
Like the
1. Pythagorian Theorem which is,
c2 = a2 + b2
example: given the point P1 ( -2,1) and P2 (1,5)
c 2= a 2 + b 2
substitute the points first = (5-1)2 + (1- (-2) )2
then compute, = (4)2 + (3)2
= (16 + 9)
=25
Then square both side c = 25
Then the answer will be = 5
2. Distance formula, The points are ( -2,1) and P2 (1,5).
d2 = ( x2 - x1 ) 2 + ( y2- y1) 2=
= ( -2 -
d) Generalization
Teacher’s Activity Student’s Activity
e) Drill
Teacher’s Activity Student’s Activity
f) Evaluation
Teacher’s Activity Student’s Activity
Detailed Lesson Plan
in Third Year
(first grading)
I-Objectives:
At the end of the lesson, the students are expected to
II-Subject Matter:
Materials:
III- Strategy/Subject Matter
a) Review
Teacher’s Activity Student’s Activity
Good Morning children…. Good Morning Sir……
b) Presentation
Teacher’s Activity Student’s Activity
c) Discussion
Teacher’s Activity Student’s Activity
d) Generalization
Teacher’s Activity Student’s Activity
e) Drill
Teacher’s Activity Student’s Activity
f) Evaluation
Teacher’s Activity Student’s Activity