Republic of the Philippines

LAGUNA STATE POLYTECHNIC UNIVERSITYSiniloan (Host) Campus

Siniloan, Laguna

Field Studyand

Pre-Service Teaching Portfolio

Prepared by:

ALELI M. ARIOLAPre-Service Teacher

ARLENE G. ADVENTOBSEd – Mathematics, Pre-Service Teacher Supervisor

CORAZON N. SAN AGUSTIN, Ph. D.Dean, College of Teacher Education

A premier university in CALABARZON

offering academic programs and related

services designed to respond to the

requirements of the Philippines and the global

economy particularly Asian countries.

MISSIONThe university shall primarily provide

advanced education, professional,

technological and vocational instruction in

agriculture, fisheries, forestry, science,

engineering, industrial technologies, teaching

education, medicine, law, arts and sciences,

information technology and other related

fields. It shall also undertaken research and

extension services, and provides progressive

leadership in its area of specialization.

vision

GOALS

In pursuit of the College Vision-Mission, the College of

education is committed to develop the full potentials of individual and

equip them with knowledge, skills, and attitudes in teacher education

allied fields to effectively respond to the increasing demands,

challenges and opportunities of changing times for global

competitiveness.

OBJECTIVES OF BACHELOR OF SECONDARY

EDUCATION

Produce graduates who can demonstrate and practice the

professional and ethical requirements for the Bachelor of Secondary

Education such as:

1. To serve as positive and powerful role models in the pursuit of learning thereby maintaining high regard to professional growth.

2. Focus on the significance of providing wholesome and desirable learning environment.

3. Facilitates learning process in diverse types of learners.4. Use varied learning approaches and activities, instructional

materials and learning resources.5. Use assessment data, plan and revise teaching-learning

plans.6. Direct and strengthen the links between school and

community activities.7. Conduct research and development in teacher education and

other related activities.ACKNOWLEDGMENT

Author would like to express his whole - heartedly thanks to the following people

who were able to give their willingness to help, for their unwavering and undying

support, encouragement, financial assistance and precious time for the accomplishment of

this narrative report.

To DR. NESTOR M. DE VERA, University President, for his vision and mission

of attaining more quality and relevant education in the University.

To CORAZON N. SAN AGUSTIN PH.D., Dean of College of Teacher Education, for

allowing her to participate and cooperate in this field of teaching. And also for her moral support

and encouragement to the whole studentry.

To MRS. LEONORA MONTEFALCON. Pre-service Teacher Coordinator for her

untiring guidance, concern, support, encouragement, understanding and most of all for the love

that she gave to all the practice teacher’s.

To MRS. ARLENE G. ADVENTO. Pre–service Teacher Supervisor for her untiring

supervise, concern, support, encouragement, understanding and most of all for her patient in

checking the lesson plan.

To DR. MILAGROS B. PUON PH.D., the principal of Mabitac National High

School, Mabitac, Laguna, for allowing her to conduct his observation and practice

teaching in the said school.

To MRS. LANI C. CABIEDEZ, her cooperating Teacher, for her patience, and

untiring support through her sacrificing her time and giving hints and ideas on how he

will execute every topics properly.

To All the Faculty members and staff of Mabitac National High School

Mabitac,Laguna, for their guidance and support in making this teaching portfolio.

To all the students of Mabitac National High School, for their kindness,

cooperation and respect given to the author that inspires her to continue her chosen

career. Also she would like to extend her appreciation to her Second Year Students (II-

Sampaguita, II-Cattleya and II-Lilac) that she had handled, for their cooperation and for

being not only a student but a “ Friends and barkadas” that is always there in her side in

times of happiness and sorrow and also they are the one who gave hope and strength to

pursue her profession.

To the authors’ dearest and closest friends: Ronalyn, Shane, Yvon and Are Edz, for their

companionship, and for inspiring the author to make this teaching portfolio.

To the authors’ loving and supportive guardians: Tatay Dodie and Nanay Amy; her

brothers: Kuya Pido, Armar, Anton; and my sister Aliza, for their untiring support, financial

assistance, for their love, care, advice and encouragement to make this teaching portfolio. Thank

you so much! And I Love you.

To all his classmates and friends, “Math Majors”,Ate glai, Janeth, Rona, Maricon, aleli,

and etc you know who you are, for their assistance, love and endless encouragement and help

which inspired the author to complete and finish this teaching portfolio.

And above all, to our God Almighty, for giving the strength, patience, guidance, and for

the continuous blessings and undying love.

The Author

Table of ContentsTitle Page

Certificate of Completion

Approval Sheet

Acknowledgment

Table of Content

I. Statement of Purpose of the Portfolio

Student Intention of Making the Portfolio

II. Prayer of the Pre-Service Teacher

Teacher’s Creed

Personal Educational Philosophy

III. Resume and Evidences

Evidences of Community Outreach

IV. Personal Reflection in the Pre-Service Teaching

Personal Reflection in the Field Study Experiences

V. Brief Description of the Site of Practice Teaching

VI. Sample Lesson Plan

a. Detailed Lesson Plan

b. Semi-detailed Lesson Plan

c. Brief Lesson Plan

VII. Best Lesson Plan Using Creative Strategy with the Use of Complete Set of

Materials

a. Pictures of Sample of Materials Used

b. Pictures in Final Demonstration Teaching

c. Sample of Learners’ Work

VIII. Titles and Brief Synopsis of Professional Reading and References

IX. Professional Development Plan (Career Plan)

X. Additional Entries

a. Application Letters

b. Commendations Relevant to Field Study Experiences

c. Commendations Relevant to Practice Teaching

Statement of the Purpose/s of portfolio/Student’s Intention of Making the Portfolio

This practice teaching portfolio was prepared and developed to

provide and share experiences for those who will undergo the same

undertakings. Some classroom difficulties and problems that she had

encountered are mentioned, and the lesson that she had learned. The

greatest value of this practice teaching portfolio is that it serves as the

mirror of the practice teacher for their progress and achievement in

their practice teaching. And also this practice teaching portfolio was

prepared to expose the pre-service teacher experiences so that they can

use it in relating their theories learned inside the classroom to become

globally competitive.

Another purpose of this practice teaching portfolio is that it

assess the pre-service teacher’s learning for the preparation in future

life in facing the real world of teaching. The pre-service teacher must

do always their best in imparting knowledge to the students. Just love

your students so in return your students will be embracing you too,

with the great things you’ve done to them not only in cognitive side

but in affective and psychomotor development.

Prayer of the Pre-Service Teacher

Help me to be a fine teacher, to keep peace in the

classroom,

peace between my students and myself, to be kind

and gentle

to each and every one of my students.

Help me to be merciful to my students, to balance

mercy and

discipline in the right measure for each student, to

give genuine praise a

s much as possible, to give constructive criticism in a

manner

that is patatable to my students.

Help me remain conscientious enough to keep my

lessons

always interesting, to recognize what motivates

each of my students,

to accept my student's limitations and not hold it

against them.

Help me not to judge my students too harshly, to be

fair to all,

I am a teacher. I accept the challenge to be sagaciousand tenacious in teaching every studentbecause I believe every child can learn.I accept the responsibility to

Create a learning environmentconducive to optimum achievement,

academically, socially, and emotionally.I actively pursue excellence, for myself

and my students.I provide a model of decorum and respect

that guides my students as well as honors them.I affirm superlative expectations for my

students and myself.I cherish every child.

I am a teacher.I change the world, one student at a time.

to be a good role model, but most of all Lord, help

me to show

your love to all of my students.

Amen.

Teacher’s Creed

Teacher’s Philosophy of Education

The philosophy is that people must believe in something. According to John Dewey,

education is by its nature an endless circle spiral. It is an activity, which includes science, because

in its process, it raises problems to be studied which then reacts upon demanding more through,

more science in an everlasting sequence.

This definition of education makes it imperative to a person to have a philosophy of

education and beliefs in the function of teaching.

A teacher should believe in the intended processes and activities to produce desirable

changes in the behavior of students. We must believe in the capacity to effect these changes,

promote and facilitate these changes through the mastery of the subject matter and the use of

appropriate methods and techniques of teaching.

A teacher also functions as manipulator of teaching learning situations. As a

manipulator, she believes in her ability to create a series of operations directed to change specific

behavior. These are just the parts of a teacher’s educational philosophy.

As a student teacher, she must believe in something that will eventually help her in

setting the goal of her life. This will focus on the values and objectives of the new social order;

the will help the teacher in analyzing and organizing her objectives; crystallizing the thoughts that

will serve as a guide to prevent a teacher from getting lost their maze of her many-faceted chores.

The school occupies premier place in the construction of the society, particularly in the matter of

changing the attitudes toward community. The role of the teacher plays will be a crystallizer and

an evaluator of the educational program under the democratic society.

ALELI MARCELINO ARIOLA

#016 Brgy. San Antonio Mabitac, LagunaContact Numbers: 09293433651E-mail address; ariola_aleli_@yahoo.com

OBJECTIVE To use the skills, knowledge and experience I have gained through tertiary study

and work experience to educate and provide students with the necessary learning they require to develop in today’s society. I have a strong interest in all areas of education and am passionately committed to promoting a positive and dynamic learning environment for secondary school students. And to obtain a teaching position in high school.

PERSONAL DATA

Date of Birth December 21, 1991Place of Birth Mabitac, Laguna

Age 20Gender FemaleCivil Status SingleNationality FilipinoHeight 5’Weight 40 kgs.

EDUCATIONAL ATTAINMENT

Tertiary Level: Laguna State Polytechnic UniversitySiniloan, Laguna

Course: Bachelor of Secondary EducationMajor: Major in Mathematics

2008- Present

Secondary Level: Mabitac National High SchoolMabitac, Laguna2004 – 2008

Primary Level: San Antonio Elementary School San Antonio Mabitac, Laguna

1996 – 2002

SEMINAR AND WORKSHPS ATTENDED

“Exploring Mathematics and Science through Enviromental Awareness and Creativity Enhancement” (Participants)Mini – Theater, Laguna State Polytechnic UniversityHost Campus, Siniloan, LagunaOctober 11-12, 2011

“Love Can Wait” (Participants)Mini – Theater, Laguna State Polytechnic UniversityHost Campus, Siniloan, LagunaFebruary 10, 2011

“Bridging Nation’s Growth through Sports” (Participants)Multi – Purpose Gymnasium, Laguna State Polytechnic University Host Campus, Siniloan, Laguna

“Teaching Multi – grade Classes” (Participants)Mini – Theater, Laguna State Polytechnic University

Host Campus, Siniloan, LagunaFebruary 05, 2010

“Technology Integration in Mathematics Teaching” (Facilitator)Host Campus, Siniloan, LagunaOctober 07, 2011

“Modern ways in Teaching Mathematics” (Facilitator)Host Campus, Siniloan, LagunaSeptember 26, 2011

“Technology Integration in Mathematics Teaching” (Facilitator)Discrete Mathematics and AlgebraHost Campus, Siniloan, LagunaAugust 06, 2011

“Alternative Learning System in Aeta Community” (Participants)Equalizing Education into Cultural Minority GroupsMini – Theater, Laguna State Polytechnic UniversityHost Campus, Siniloan, LagunaFebruary 11, 2011

“Multi – Channel Learning for Remote Areas” (Participants)Mini – Theater, Laguna State Polytechnic UniversityHost Campus, Siniloan, LagunaFebruary 10, 2011

“The Challenges of the Globally Competitive Teachers” (Participants)Global Changes; the Effect of Popular Media in Teaching”Laguna State Polytechnic UniversityHost Campus, Siniloan LagunaFebruary 5, 2010

“Teaching Indigenous People” (Participants)Mini – Theater, Laguna State Polytechnic UniversityHost Campus, Siniloan LagunaFebruary 25, 2009

“Seminars on Strengthened Vocational Education Program (STVEP) and Alternative Learning System ( ALS)” (Participants)ALS Building, Siniloan Elementary SchoolSiniloan, LagunaSeptember 22, 2011

“K – 12 and UBD Seminar – Workshop” (Participants)Mini – Theater, Laguna State Polytechnic University

Host Campus, Siniloan LagunaOctober 22, 2011

“Pre – Elementary Education” (Participants)Mini – Theater, Laguna State Polytechnic UniversityHost Campus, Siniloan LagunaFebruary 25, 2009

“Seminars on The Enhanced K – 12 Basic Education Program” (Participants)Batangas Sports CenterBatangas, CitySeptember 30, 2011

“Makabagong Filipino para sa Bagong Pilipino: Napapnahong Pag – aaral sa Wika at Panitikan Gamit ang 2009 Gabay sa Ortographiyang Filipino” (Participants)Mini – Theater, Laguna State Polytechnic UniversityHost Campus, Siniloan LagunaFebruary 11, 2011

“SPED: Understanding the hearts of Exceptional Learners” (Participants)Mini – Theater, Laguna State Polytechnic UniversityHost Campus, Siniloan LagunaFebruary 11, 2011

SKILLS Ability to communicate both written and oral Can speak English and Tagalog fluently Computer literate (MS Word, MS Excel, MS PowerPoint, MS Publisher,

Adobe Photoshop, Adobe PageMaker, Software Installation, PC Hardware Servicing)

CHARACTER REFERENCES

CORAZON N. SAN AGUSTIN Ph. D.Dean, of College of Education

MRS. ARLENE G. ADVENTOPre-service Teacher Supervisor

MRS. MILAGROS PUON PH.D.Principal Mabitac National High School Mabitac, Laguna

I hereby certify that the above information is true and correct to the best of my knowledge and belief.

________________________Applicant’s Signature

Evidences of Community Outreach

Personal Reflection

of

Field

Study

Experienc

esField Study 1

The Learner’s Development and Environment

Field Study 1 is focus on Learner’s Development and Environment, the learning

environment as well as the psychological environment that may affect the students’ way

of learning.

.A physical environment that is conducive for learning may be the product of

physical and psychological atmosphere that creates interaction between student to student

and teacher to students, it had a great impact to teaching-learning process.

Every students are unique they are differ from each other. Teacher must consider

the differences of the students, respect them and treat them equally.

Field Study 2

Experiencing the Teacher-Learning Process

Field study 2 is design to help the field study students observe how the different

principle of teaching and learning are applied to make the teaching and learning process

interactive, meaningful, exciting and enjoyable.

In teaching, teacher must consider the feelings, ideas, interest and needs of

students. Having on actual learning will lead them to better understanding. When it

comes to teaching strategies, there is no such thing as best method. The best method is

the one that works, the one that yields result and the one that promote harmonious

relationship between the teacher and the students.

Field Study 3

Technology in the Learning Environment

This course is designed to realize the importance of technology in teaching and

learning. The teacher must apply the different principle in utilizing instructional materials

suit to the needs of the learners. And these also enrich the student’s experiences in

developing appropriate technology to facilitate learning. It shall also provide students

exposure and hand – on opportunities in the use of information communication

technology.

Field Study 4

Exploring the curriculum

This field study have the concept of curriculum is a dynamic as the changes that

occur in the society. It is refers to the total learning experiences of individuals not only in

schools but in society as well.

Field study 4 is about the effective curriculum design and assessment. It includes

the different persons involve in the implementation and assessment of the curriculum.

Field Study 5

Learning Assessment Strategies

Field study 5 provide us an opportunities to acquire knowledge about the different

kind of students while assessing them, and one of the best assessment to learning is the

assessment in affective domain which emphasized measurements of reasoning and the

mental faculties of the students, it emphasized feeling, an emotion or a degree of

acceptance and rejection. In this kind of assessment and strategies the student can

broadcast their opinion and their shared their own knowledge, information and ideas to

other learners.

Field Study 6

On becoming a Teacher

New teachers overwhelmingly say they love what they do. They say it allows

them to contribute to society and help others. I am now entering on the step of the real

world teachers directly affect the lives of the students they teach. Think about how much

time students spend in school; most of that time is spent with a teacher.

Field study 6 provide us in – dept understanding, series of experiences that will motivate,

encourage and enable to go on and appreciate more the valuable things/experiences about

on becoming a professional teacher on the future.

In teaching profession you must have dedication to public interest, and strong

commitment to the profession, moral and ethical values.

OBSERVATION

It was November __, 2010 when I started my observation. It was assigned by the

principal, Dr. Milagros B. Puon, of Mabitac National High School to observe of all year

level to see the teachers’ strategies and technique in handling such different kinds of

students with different learning styles and behaviors. I was very excited and quite

nervous because we were in the beginning of a difficult task of our studying.

On the first day, I was endorsed to Mrs. Lani C. Cabiedez and Ms. Vivien B.

Claro, a Mathematics Teachers, to be my cooperating teachers. I was very happy in

observing their class, they easily disciplines their students but in the good way. I really

admired them when they was teaching Mathematics because they always used motivation

to catch their attention and to arouse the interest of their students. They always equipped

with visual materials that is needed in the lesson. They mastered the subject matter and

executed every lesson very well. When it comes to students, they are very active and

talented bur some of them are slow learners.

I had finished my observation last March __, 2011. I learned that as a teacher, you

have to used teaching strategy that is suited for the student because of what we called

“Individual Differences”, your voice must be well modulated, this is very important for a

teacher and most of all you want to stay in this profession you need an ended patience.

I really enjoyed my observation in Mabitac National High School. I learned

beautiful things from all the teachers there and I would like to say thank you to Mrs. Lani

C. Cabiedez, Ms. Vivien B. Claro and Dr. Milagros B. Puon.

Personal Reflection

of

Pre – Service

TeachingACtual Teaching

Student Teaching is the actual Teaching and our major role and responsibility.

During this period, we need to cat like a professional teacher.

After three months observations, we are now to apply all the knowledge and good

things we got during our observation period. But before that, there is some orientations

that were given to us on how to perform our duties and responsibilities’ as a student

teacher. All teacher with concern especially our pre- service supervisor, Mrs. Arlene G.

Advento, with our dean, Dr. Corazon N. San Agustin, for us to be ready and capable

enough to handle different kinds of student and apply all principles and methods that we

have learned in our years of schooling.

November 29, 2011, it is a pleasure to see once again the teachers and students of

Mabitac National High School.

Together with my co-practice teachers, we choose the year level we want to teach.

And I choose second year because I already familiar with the second year students.

It was December 1, 2011, when I assigned to teach in II - Sampaguita but I

request my cooperating teacher, Mrs. Lani C. Cabiedez, that I will observe her to prepare

myself to teach in the next class which is II – Lilac, then followed by II – Cattleya.

During my first week of teaching, it was very hard for me to act like a real teacher,

making lesson plans and visual aids at night. I felt tired during the first week of my

teaching. I was always thinking what am I going to do on how can I execute my lesson

well. But I was lucky enough to have a very approachable and supportive cooperating

teacher because she was always willing to help and support me, share ideas and

suggestions to the fullest.

Another important part of teaching was on how to deal and building rapport with

my pupils. During this period, I felt the joy as I was imparting knowledge to them and in

return, they gave me support and respect.

With this in my actual practice teaching, I realized being a teacher is very

challenging and enjoyable although it is very difficult task but then, with the student

who’s eager to learn, cooperative, funny and sweet as inspire the teacher to teach. This

was the first time I realized and probe to myself what my teacher told us before that

teaching is the most enjoyable and inspiring profession.

The much-awaited time of every student-teacher was the final demonstration

teaching. March 09, 2012 in the morning was the schedule of my general demonstration.

We are ready to the demonstration all the devices, lesson plan well prepared upon seeing

the panelist namely: Mrs. Montefalcon, Ms. Bobadilla and Mrs. Advento me and my co –

student teachers feel nervous, but through the support and encouragement given to us by

the teachers including our students who always there to make us smile we gather all our

strength and confidences to begin our lesson.

After the demonstration we held short meeting to discuss about the result of our

demonstration. We are all happy because our demonstration ended successfully and with

flying colors said by our panelist. They welcome us in the world of teaching and all of

this is through the help of our Jesus Christ. We continue our practice teaching until march

to finish the time needed.

A Brief Descriptio

n of the Site of

Practice Teaching

MABITAC NATIONAL HIGH SCHOOL

VISION

To give our students desirable teaching-learning environment

and thereby enable them to create own destiny in the global community.

MISSION

To prepare our students to become responsible citizen

And good leader who loves his/her family and

Community and is proud to be a Filipino.

GOALS

Develop a high performance among administrators, teachers, students, towards a better higher education.

Strengthen mutually beneficial linkages and agencies at the Local and Provincial Government.

Promote support from alumni, friends and adopt school program and sustained caring school.

History of Mabitac National High School Mabitac, Laguna

MABITAC NATIONAL HIGH SCHOOL can be said to be small

school situated in the corner of two barangay: Brgy. Maligaya and Brgy. Libis ng

Nayon now called Bernardo Sayarot Street. The total land area of the school is 18

238 sq. meters for the main school and 6000 sq meters for the extension site.

These are all donated by the municipal government.

This school started to operate in the year 1971 through the best effort to

Mrs. Lydia V. Carpio. She was the first principal in-charge and the founder of the

said school.

The school was called Alas-As Barangay National High School, first

Barangay High School in Mabitac. The school’s name was changed to Mabitac

National High School through the Sangunian Bayan resolution and approved by

the NHI (National Historical Institute) on November 15, 1994.

This institute started only two (2) classroom borrowed from Mabitac

Cultural School. Also, the Sanguniang Barangay of Lucong was used as

classroom through the leadership of Brgy. Captain Mariano G. Bobadilla, who

adopted the school for ten years. The Barangay Libis ng Nayon and Barangay

Maligaya disowned the school.

Gradually, the school got its integrity. At the start, there are two full time

teachers in the person of Ms. Fe L. Reyes and Mr. Nelson V. Vicuña, other

teachers are: Mrs. Aimee Albayand and Mrs. Rosario De Guzman.

Yearly, enrolment increases. On the third year of operation, the school is

the full pledged high school. In 1974, thirteen students graduated, though there is

no graduation rite. On the school year 1974-1975, forty students graduated with a

graduation ceremony.

As this is increase on enrolment, number of teachers increase too. The first

faculty members are the following: Mrs. Lydia V. Carpio, the principal-in-charge,

Ms. Soledad Rellosa, and Mrs. Esmeralda V. Bobadilla, Ms. Gloria Bauyo, Mrs.

Yolanda S. Dimaranan, Ms. Fe Reyes, Ms. Fidela G. Gonzales, Ms. Felicidad De

Leon, Mrs. Rosita De Guzman and Mr. Nelson V. Vicuña.

On the school year 1977-1978, Mrs. Carpio decided that the school should

have a permanent site, and the head teacher designed was Mr. Nelson Vicuña.

After a year of being a head teacher, Mr. Vicuña decided to work abroad. Mrs.

Mata was assigned as the teacher-in-charge, on 1979-1980. During her

administration, school record was organized; sewing machines and science

equipments were acquired. Unfortunately, she was not able to pass the Board

Examination for Teachers, so Mrs. Yolanda S. Dimaranan took over the position

and was promoted to Head Teacher to Principal I.

Mrs. Dimaranan is the leader of the school for twenty-six years. She was

able to establish our school on its success. The acquisition of land for the school,

different buildings and all equipments needed were patiently acquired for the use

of the institution. During her administration, students’ development as well as

curriculum development and values were given emphasized.

On December 22, 2006, Mrs. Yolanda S. Dimaranan retired at the age of

65. Due to her retirement, the Division Superintendent,

Dr. Lilia T. Reyes designates Dr. Adelina L. Acelajado, Education

Supervisor in H.E. to be the OIC-Principal and now year 2010 the assigned

principal of Mabitac National High School was Mrs. Milagros B. Puon Ph.D. a

very humble, patience and kind principal of (MNHS).

Presently, the principal of Mabitac National High School is Mrs. Cynthia

Dela Torre from Pagsanjan National High School.

Examples

of

Lesson

Plan

Detailed

Lesson

Plan

Mean of Grouped Data

I. Learning Objectives

Cognitive: Derived the formula for finding the mean of grouped data;Affective: Manifest understanding of the mean of grouped data; andPsychomotor: Compute the mean of grouped data.

II. Learning Content

A. Mathematical ConceptTo get the mean for grouped data

1. Using long method

Where f = frequency of the class interval x = midpoint of the class interval n = total number of frequency

2. Using the coded – deviation method

Where f = frequency of the class interval x’ = assumed mean d’ = deviation from thr reference point

i = size of the class interval n = total number of frequency

B. Value Integration: work neatly and systematicallyC. Materials: Cartolina, Calculator, pentel pen, coins, computerD. References:

Bernabe, Julieta G. Advanced Algebra, Trigonometry and Statistics (Functional, Approach), 2005 pp. 161Orance, Orlando A. E- Math Advanced Algebra and Trigonometry 2010 pp. 406

III. Procedure

TEACHER’S ACTIVITY STUDENT’S ACTIVITYA. Daily Routine

1. PrayerEverybody please stand and we will pray.

2. GreetingsGood Morning class!

3. AttendanceLet me see if everyone is present today. Secretary will you please check the attendance

B. Developmental activity1. Drill

Find the meana. The following are the ages of

students in culinary class: 24 18 19 20 24 26 27 20 23 19. Find the mean.

b. The number of student in six fourth year section are 45 57 48 62 58 60. What is the average class size in the fourth year?

c. Last month’s sales for six different coffee shop were: P375 910, P351 884 P252 675, P361 148P392 740, P267 900. Find the

Good Morning ma’am!Good Morning classmate!

I am glad to tell you that nobody is absent today.

The mean or the average age is 22.

The average class size is 55.

The mean sales amount is P333 709.5

mean sales.

2. ReviewLast time we discuss the mean of ungrouped data. Again class, what is mean?

What is another name for mean?

How do we compute the mean or average for ungrouped data?

What formula is used?What does the mean implies?

C. Motivation

Given:

7 11 6 11 10 8 17

1. Use coin to duplicate the seven Stacks given each stacks represent a number in a set of data

2. Rearrange the coins so that each of the seven stacks contains the same number of coins. Describe the stack of the coins.

Can you find the mean number of coins?

What is the mean number of coins?

D. Presentation

Mean is the sum values of all given items divided by the number of items.

The other name for mean is average.

In computing the mean get the sum of the values of all given items divided by the total number of items.

The mean is a single number that represent the characteristics of given data.

The coins are evenly distributed over the seven stacks.The stacks of coins have the same height.

Yes!

The mean number of coins is 10.

Finding the mean for a large data is a tedious job requiring much patience. Today we are going to find the mean of a large data.

Do you have any idea on how we can find the mean score of 100 students in a math quiz?

Very Good!

Adding the 100 items take a lot of time, to save time is there another way to find the mean of large data?

Calculate the mean score of 100 students in a math quiz

Class interval

f x fx

55 – 5950 – 5445 – 4940 – 4435 – 39

i = 5

1428171526

n =100

Find the midpoint of the class interval ( x) and multiply to the frequency (fx)

Now, how can we find the mean score?

Very Good!

Equate it in symbol

Correct!

Yes, that is the first method.

How did you get the mean?

Yes ma’am, add the students’ scores divided by 100.

Another way is to group the data to a frequency distribution.

Class interval

f x fx

55 – 5950 – 5445 – 4940 – 4435 – 39

i = 5

1417281526

n =100

5752474237

79888413166309624590

Get the summation of fx divided by the total frequency.

In getting the mean find the midpoint of the class interval (x) and multiply to the frequency (fx) and then add the fx divided by the total frequency.

Now, another method to find the mean using the same example.

Class interval

f x d’ fd’

55 – 5950 – 5445 – 4940 – 4435 – 39

i = 5

1417281526

n=100

0

1. Locate the class interval with the highest frequency and assumed that the mean is in that class interval.

2. Let us deviate in the assumed mean and that is 0. Positive deviation above and negative deviation below it.

3. Multiply each f by its d’ to get fd’

4. Divide the ∑fd’ by n then multiply to (i) plus the assumed mean.

Compare the answer.

How did you compute the mean, using coded – deviation method?

Write it in symbol

E. Generalization

What are the two methods of computing the mean of group data?

How do we compute the mean of grouped data using Long method? Code- deviation method?

(The student will find the mean using the coded – deviation method)Class interval

f x d’ fd’

55 – 5950 – 5445 – 4940 – 4435 – 39i = 5

1417281526

5752474237

210-1-2

28170-15-52

They are the same.

(the student will give the step to compute the mean using the coded – deviation method)

The two methods are the long method and the coded- deviation method.

Very Good!

F. Group Activities/ApplicationNow, I will group you into 2 ( Boys’ group and girls group)

a. Activity sheet

Group I (Boys group)

Using the long method find the mean of the given distribution

Class interval

f X fx

85 – 8980 – 8475 – 7970 – 7465 – 6960 – 64

i = 5

49781210n = 50

Group II (Girls group)

Using the coded – deviation method find the mean of the given distribution.

Class interval

f x d’ fd’

85 – 8980 – 8475 – 7970 – 7465 – 6960 – 64

i = 5

49781210

n = 50

If your group were done in doing the activities please go back to your seat.

b. AnalysisPost your work on the board. (each group will present their

Read first the instruction written on the activity sheet

Q1: Examine the answer of your groups what did you notice with your answer?

Q2: If they have the answer what does it implies?

Q3: Which do you think is more convenient to use? Why?

Very Good!G. Valuing

What do you feel while doing your activity with your group mates?

How about your cooperation with your group mates? What did you contribute to your activity?

Do you have any question?

Get ½ sheet of paper and be ready for a short quiz.

work)

Group I and Group II got the same answer

It implies that if you use either the long method or the coded – deviation method we will get the same result.

The more convenient and the easier method to use is long method/coded – deviation method

I feel that I’m belonging to the group.

I did the Frequency distribution table.

None!

IV. EvaluationUsing the two methods Long Method and Coded – deviation method find the mean.

Test Score of 50 students in Algebra II

Class Interval f78 – 8372 – 7766 – 7160 – 6554 – 5948 – 5342 – 47

i = 6

49768106

n = 50

V. Assignment Make a simple survey on the ages of your family members. Find the mean

age of your family members. You will work on this activity cooperatively and present the data in a table.

Semi-

Detailed

Lesson

Plan

“Integrating Values with Subject Matter”

HARMONIC SEQUENCE

I. Specific ObjectivesAt the end of the lesson, the students should be able to:1. define and identify a harmonic sequence; and2. find the nth term of a harmonic sequence.

II. Mathematical Concept

A sequence of numbers is said to be harmonic if their reciprocals form an arithmetic sequence. In general form, a harmonic sequence may be represented as

, , , ………. .

III. Values FocusCooperation and self-discipline

IV. MaterialsAlgebra II (Functional Approach), chart

V. Teaching Strategies: Exposition and Practice A. Drill

Identify the common difference in the following:a. 2, 5, 8, …… c. 18, 24, 30, ……b. 9, 7, 5, …… d. -8, -5, -2 , ……

B. Review 1. What is an arithmetic sequence?2. Give examples of an arithmetic sequence.

C. Introduction / MotivationBesides the simple sequence studied, there are other sequences that

are useful for counting purposes.D. Presentation

1. Observe the given examples of harmonic sequence together with the corresponding arithmetic sequence below.

Arithmetic Sequence Harmonic Sequence

1, 4, 7, 10, ….. 1, ¼, 1/7, 1/10, …..

15, 12, 9, 6, 3, 0, ….. 1/15, 1/12, 1/9, 1/6, 1/3, 0, ….

3/2, 7/2, 11/2, 15/2, ….. 2/3, 2/7, 2/11, 2/15, ….

Given nth first term and the common difference, the nth term can be found.

2. Find the first six terms of a harmonic sequence where a1 is 1/3 and d is ¼.Solution:

The corresponding arithmetic sequence with a1 = 3 and d = 4 will be 3, 7, 11, 15, 19, 23, ….. Therefore, the harmonic sequence is 1/3, 1/7, 1/11, 1/15, 1/19, 1/23, ….

3. Find the 13th term of a harmonic sequence if a1 = 1/6 and d = 2.Solution:

The corresponding arithmetic sequence has a1 6, d = ½ and n = 13.a13 = 6 + (13 -1) ½ = 6 + 12(1/2)

a13 = 6 + 6 + 12Therefore, the 13th term of the harmonic sequence is 1/12.

E. Exploration1. What is observed about the given examples?2. Compare an arithmetic sequence and a harmonic sequence.3. What is the relation between an arithmetic sequence and a harmonic

sequence?4. What is the nth term of a harmonic sequence?

F. Generalization (Refer to Mathematical Concept for the definition of harmonic

sequence.)To find the nth term of the harmonic sequence use the formula for

arithmetic sequence an = a + (n – 1)d and get the reciprocal of an.G. Activities

1. Identify whether the given sequences are harmonic or not.a. 5, 8, 11, 14 c. ½, ¼, 1/8, 1/10 e. -1/7, -1/4, -1, 1/2b. ¼, `/7, 1/10, 1.13 d. 1, 1/3, ¼, 1/7

2. Find the indicated term of a harmonic sequence if:a. a1 = ½ and d = 1/5; 15th termb. a1 = 1/15 and d = -1/2; 13th term

VI. EvaluationFind the indicated term of a harmonic sequence if:

1. a7 = -1/4 and d = -3; 20th term2. a16 = 1/17 and d = -1/3; 1st term3. a21 = -1/48 and a33 = -1/84; 100th term

VII. Assignment / ExtensionAnswer the following.

1. Find the 30th term of the harmonic sequence 1/3, 1/6, 1/9, 1/12, …..2. Find the 10th term of the harmonic sequence -2/3, -4/7, -1/2, -4/9, …..3. Find the 12th term of the harmonic sequence -8/3, -4/3, -8/9, ….

Brief

Lesson

Plan

I. Objectives

At the end of the Lesson the student, should able to:

Manifest understanding of the mean;

Define mean;

Compute the mean of ungrouped data.

II. Subject Matter

Mathematics: Finding the mean of ungrouped data

Advanced Algebra, Trigonometry and Statistics (Functional, Approach)

III. Learning Task

A. Daily Routine

a. Task 1

Discussed what is mean.

b. Task 2

Perform on how to find the mean of the ungrouped data.

IV. Get one whole sheet of paper. And answer the following.

1. Get the average grade of Benjie if he got the following grades: 86, 85, 84,

79, 85, 87, and 90.

2. Den Mark got the following scores in the math quizzes: 20, 19, 17, 19, 18,

15, 19, 20 and 6.

3. A teacher wants to evaluate the performance of the groups of students to

find out which group will best quality for the math quiz bee. After a series

of test the mean score obtained by each member of the group were:

Group I – 85, 92, 88, 88, 90

Group II – 86, 90, 87, 92, 86

4. Mercy aims to obtain a mean grade 88 in math at the end of fourth grading

period for the first three grading periods her mean grade is 87. What

grades should she get for the fourth grading period?

Best

Lesson Plan

Unit Title: Sequence and Series Year Level: Second Year

Lesson Topic: Geometric Sequence Time Frame: 1 hour

Established Goals (Standard):

The student demonstrates understanding

of the key concepts and the general or nth

term of the geometric sequence.

Technology Standard:

The student applies Microsoft Excel in

understanding and solving problems

involving geometric sequence.

Essential Questions:

How to determine the fixed number or

the common ratio in a geometric sequence?

What is the general term used in

geometric sequence?

Desired Understanding:

The students will understand that the

geometric sequence is a sequence which

each term is obtained by multiplying the

preceding term by a constant number called

common ratio.

Students will know:

the characteristics of geometric

sequence; and

Students will be able to:

identify and describe geometric

sequence; and

the next term in the given geometric

sequence.

solve for the common ratio and the

next term of the given sequence.

Teaching/learning Sequence (showing the integration/infusion of technology)

EXPLORE

Provide learners opportunities to recall mathematics concepts related to arithmetic

sequence and geometric sequence.

Drill/Review

Give an example of arithmetic sequence.

What is an arithmetic sequence?

Activity 1

Directions: Determine whether the given sequence is an arithmetic or not. If it is

arithmetic, find the common difference.

1. 30, 26, 22, 18, 14, …

2. 1, 3/2, 2, 5/2, 3, …

3. 10, 8, 6, 4, 2, …

4. 1, 3, 9, 27, 81, …

5. -6, -2, 2, 6, 10, …

Why is it arithmetic or not?

How do you find the common difference?

Activity 2

Directions: Arrange the given numbers in Column A. increasing and Column B.

decreasing order then find the next number.

1. 21, 7, 63, 189, ___

2. 6, 384, 24, 96, ___

3. 125,5, 25, 625___

4. 4, 144, 24, 864, ___

5. 8, 64, 16, 32, ___

What did you notice to the given numbers?

How did you get the next number?

Activity 3

Directions: Study the given numbers and give the missing numbers.

1. 2, 4, 8, ___, 32, 64, …

2. 2, 6, ___, 54, 162, …

3. ¼, ½, 1, ___, 4, …

4. 80, ___, 20, 10, 5, …

5. 2, -4, 8, ___, 32, -64, …

How did you get the missing number in each set of numbers?

Do you observe any pattern in a given sequence? Explain the pattern in a given

sequence.

Activity 4

Directions: Perform the activity cooperatively.

A tennis ball is dropped from a height of 160 ft. and always rebounds one half of

the distance fallen. How high does it rebound the fifth time?

A. Let’s do some calculations and look for patterns.

Rebound 1 2 3 4 5

Height 80

How did you get the height of the ball?

Do you use a fixed number? What do you call that fixed number?

Observe the height of the ball after each rebound. Is there a sequence? Why?

FIRM UP

The activities in this part apply various learning strategies to check the learners’

comprehension, rethinking and revision of their understanding in geometric sequence,

Activity 5

Directions: Supply the missing number and identify the common ratio in the given

sequence.

1. 7, 14, 28, ___, 112, 224, …

2. 9, 36, 144, ___, 2304, …

3. 5, 30, 180, 1080, ___, …

4. 12, ___, 108, 324, 972, …

5. ___, 44, 176, 704, 2816, …

How did you find the common ratio?

In each given geometric sequence, find the next three terms.

How did you get the next three terms?

Activity 6

Directions: Find the next two terms of the given sequence.

1. 5, 20, 80, 320, 1280, …

2. 250, 50, 10, 2, …

3. 2, 6, 18, 54, 162, …

4. 9, 27, 81, 243, 729, …

5. 6, 12, 24, 48, 96, …

Did you find any pattern? Describe the pattern.

How did you get the next term of the given sequence?

What is the common ratio?

Resources (Websites, Software, etc.)

E – Math II Intermediate Algebra pp. 436 – 443

Algebra II Functional Approach pp. 224 - 227

Microsoft Excel,

Materials/ Equipment Needed:

Computer, Flashcards, Tennis ball,

During my Final

Demonstration

My critic and my panelist

My students and i

Pictures of Sample of Materials Used

Sample of Learners’ Work

Principles and Methods of Teaching

This book is intended primarily for students in the college of Education and

beginning teachers, to have s strong foundation and a through grasp on concepts, theories,

principles and teaching-learning process.

This book will also provide teachers who are already in the service for a great

long time and who want to improve their competency and to update themselves on

current trends, new techniques and strategies in the teaching process.

Field Study

Maria Rita D. Lucas

Field Study is a component of the new pre-service teacher education curriculum

that aims to expose the students to actual field study experiences so that they can relate

the theories learned inside the classroom with those experiences. These off-classroom

experiences would emphasize the importance of

Curriculum Development

Bilbao, Purita P .et al

Curriculum Development is an instructional material in module from which

complement the 3 – unit course of the New Teacher Curriculum. It closely approximates

the syllables of the CMO 30 s – 2004.

Similar to other materials in project write, curriculum development tries to

balance theory and practice. Each Module follows a distinct pattern or format with a short

introductory part or take off, the advance reading or focus, the activities to strenghthen

the focus or take, reflection for Higher Order Thinking and Self check for evaluation.

Professional Development Plan

After graduation I’m going to have a serious review

in order to pass the Licensure Examination for Teacher.

While waiting for the result of Board Passers I’m going to

find way to get a job related to my course. I’m going to

help my family I give them the life that I dreamed for

them.

If I luckily pass the exam I will be in my teaching

career and I will take also my Masters degree when I

already have my regular job. After all of that things, I will

help my family, friends, relatives etc and I will let myself

to enjoy my life while I am still single, then if I am

already satisfied with my life of being single I will now

soon to face my future life having my own family.

I will pray to our Dear God that he will give me the

guidance, strength, and love that I need in order to

make this plan come true.

Letter of Application(Block Style)

016 Brgy. San AntonioMabitac, LagunaMarch 09, 2012

The PrincipalMabitac National High SchoolMabitac, Laguna

Madam:

The guidance Councilor of your informed me that your school is in need of an

Mathematics teacher who can also teach P.E., and Filipino I would like to be considered

in the said position.

I graduated from Laguna State Polytechnic University, Siniloan, Laguna with a

degree of Bachelor of Secondary Education major in Mathematics. I undergone student-

teaching program that trained me to be efficient and effective teacher, a qualification to

teach in your school. Moreover, I also joined different school organization and activities

that helped build my leadership and self-confidence.

For your reference, you can ask the following persons regarding my personality:

1. Dr. Corazon N. San Agustin Laguna state Polytechnic University

2. Prof. Lydia R. Chavez Laguna state Polytechnic University

3. Mrs. Lani C. Cabiedez Mabitac National High School

I have enclosed copies of my college transcript of records for your reference.

I shall be very glad to come for an interview at your most convenient time.

Very truly yours,

Aleli M. Ariola

Letter of Application(Conventional Style)

016 Brgy. San AntonioMabitac, LagunaMarch 09, 2012

The PrincipalMabitac National High SchoolMabitac, Laguna

Madam:

The increase of the enrollment in both private and public schools will

undoubtedly necessitate the creation of the new position for classroom teachers to take

charge for additional classes. Should this opportunity arise, please consider me as an

applicant for the position, secondary school teacher.

I completed the degree of Bachelor of Secondary Education (BSEd) major in

Mathematics, from Laguna State Polytechnic University, Siniloan, Laguna (LSPU) 2012.

I undergone student-teaching program that trained me to be efficient and effective

teacher, a qualification to teach in your school. Moreover, I also joined different school

organization and activities that helped build my leadership and self-confidence.

I am a Filipino, a Roman Catholic, 21 years old, single and in good health.

For your reference, you can ask the following persons regarding my personality:

1. Dr. Corazon N. San Agustin Laguna state Polytechnic University

2. Prof. Lydia R. Chavez Laguna state Polytechnic University

3. Mrs. Lani C. Cabiedez Mabitac National High School

I shall be very glad to come for an interview at your most convenient time.

Very truly yours,

Aleli M. AriolaLetter of Inquiry

016 Brgy. San AntonioMabitac, LagunaMarch 09, 2012

Division SuperintendentDepEd LagunaSta. Cruz Laguna

Madam:

I would like to inquire about teaching opportunities in the public school in

Laguna. I am particularly interested in teaching Math subject in high school students.

I completed the degree of Bachelor of Secondary Education (BSEd) major in

Mathematics, from Laguna State Polytechnic University, Siniloan, Laguna (LSPU) 2012

and presently preparing myself for this coming Licensure Examination for teachers. My

resume and a copy of my transcript of records are attached herewith.

A self-addressed envelope is also enclosed for the information you will send me

about my request.

I am looking forward for your most favorable response.

Thank you, more power and God Bless!

Respectfully yours,

Aleli M. Ariola

OBSERVATION AND PARTICIPATION PHASE

Observation in student teaching must be directed and systematic. There should be

specific purposes. During this period, the student teacher participates in the classroom

and school activities. They assist the cooperating teacher in the management,

maintenance of the classroom and order discipline, preparation of instructional materials,

construction of test, checking and usage of test results, accomplishment of school forums

and records, extracurricular activities in the school and in the community.

In the actual classroom observation and participation, student teachers must:

1. Follow the schedule of observations; make arrangement in case of changes in

schedule.

2. Visit their room at least one day before the observation day.

3. Confer with the cooperating teacher before observation day.

4. Arrive at least an hour before the class starts.

5. Record the observation silently.

6. Thank the teacher or the cooperating teacher.

7. Observe the cooperating teacher at different occasions.

a. Developing a new lesson.

b. Demonstrating in the shop or laboratory.

c. Administering the test.

d. Supervising practical work.