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Outcome-Based Teaching and Learning Plan in Elementary Statistics and Probability (M105), Summaries of Educational Mathematics

The curriculum for an elementary statistics and probability course (m105) at city college of calapan, focusing on the bachelor of secondary education major in mathematics program. It provides a detailed breakdown of the course's learning outcomes, assessment methods, grading system, and course policies. The syllabus covers topics such as descriptive and inferential statistics, data collection and sampling techniques, measures of central tendency and variation, probability, and hypothesis testing. It also includes a list of recommended readings and a breakdown of the course assessment.

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CITY COLLEGE OF CALAPAN
Bachelor of Secondary Education Major in Mathematics (BSEd-Math)
Outcome – Based Teaching and Learning Plan in Elementary Statistics and Probability (M105)
Vision Center For Inclusive Education in building Discipline and Good Character for God and Humanity
Mission
In the pursuit of the vision of the City College of Calapan as an educational institution subscribing to the total development of the youth, the following are the mission
statements of the City College of Calapan:
a. To foster the intellectual, moral, social, and creative life of its students through quality, accessible and affordable education.
b. To provide for a general education that will develop the whole human personality and seek to create a cultural environment that will prepare him to be
professionally competent for life.
c. To foster awareness of the socio-economic situation, a commitment to its improvement, the development of Civil and Social Responsibility and Discipline.
d. To provide training and experiences in the sciences and professions.
e. To enhance the promotion of our cultural values and foster social awareness and responsiveness towards the upliftment of the youths of Calapan.
Philosophy We Create Possibilities for Life-long Learning
Course Title ELEMENTARY STATISTICS AND PROBABILITY Course Code M105
Credit Units 3Course Pre-/Co-requisites NONE
Course Description (from CMO
No. 75, s. 2017)
This course equips the students with the basic statistical tools to understand various phenomena. The topics on mean, variance, sampling, and estimation eventually allow
the students to be able to perform hypothesis testing on real-life problems from different fields. The course includes applications carried out using SPSS.
Program Intended Learning
Outcomes (PILO) (from CMO No.
75, s. 2017)
At the end of this course, the graduates should be able to:
1. Demonstrate mastery of subject matter/discipline
2. Exhibit competence in mathematical concepts and procedures
3. Exhibit proficiency in relating mathematics to other curricular areas
4. Manifest meaningful and comprehensive pedagogical content knowledge (PCK) of mathematics
5. Appreciate mathematics as an opportunity for creative work, moments of enlightenment, discovery and gaining insights of the world.
Course Intended Learning
Outcomes (CILO)
At the end of this course, the students should be able to:
1. Demonstrate knowledge and skills in data gathering, processing, and communication
2. Use appropriate statistical measures to describe and compare data sets
3. Run appropriate inferential statistical tests to verify hypotheses and formulate data-driven conclusions and decisions
4. Use appropriate statistical treatments to analyze a teacher-made summative test, profile students’ performance, and generate recommendations for enhancement
5. Exhibit competence in the use of statistical software in data processing as entailed by actual mini research relating to teaching and learning
6. Manifest accuracy in data handling for evidence-based decisions.
Week Intended Learning Outcomes
(ILO) Declarative Knowledge / Topics Teaching / Learning Activities (TLAs) Assessment Tasks (ATs)
CCC Philosophy : We Create Possibilities for Life-long Learning CCC Vision : Center For Inclusive Education in building Discipline and Good Character for God and Humanity
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CITY COLLEGE OF CALAPAN

Bachelor of Secondary Education Major in Mathematics (BSEd-Math)

Outcome – Based Teaching and Learning Plan in Elementary Statistics and Probability (M105)

Vision Center For Inclusive Education in building Discipline and Good Character for God and Humanity

Mission

In the pursuit of the vision of the City College of Calapan as an educational institution subscribing to the total development of the youth, the following are the mission

statements of the City College of Calapan:

a. To foster the intellectual, moral, social, and creative life of its students through quality, accessible and affordable education.

b. To provide for a general education that will develop the whole human personality and seek to create a cultural environment that will prepare him to be

professionally competent for life.

c. To foster awareness of the socio-economic situation, a commitment to its improvement, the development of Civil and Social Responsibility and Discipline.

d. To provide training and experiences in the sciences and professions.

e. To enhance the promotion of our cultural values and foster social awareness and responsiveness towards the upliftment of the youths of Calapan.

Philosophy We Create Possibilities for Life-long Learning

Course Title ELEMENTARY STATISTICS AND PROBABILITY Course Code M

Credit Units 3 Course Pre-/Co-requisites NONE

Course Description (from CMO

No. 75, s. 2017)

This course equips the students with the basic statistical tools to understand various phenomena. The topics on mean, variance, sampling, and estimation eventually allow

the students to be able to perform hypothesis testing on real-life problems from different fields. The course includes applications carried out using SPSS.

Program Intended Learning

Outcomes (PILO) (from CMO No.

75, s. 2017)

At the end of this course, the graduates should be able to:

  1. Demonstrate mastery of subject matter/discipline
  2. Exhibit competence in mathematical concepts and procedures
  3. Exhibit proficiency in relating mathematics to other curricular areas
  4. Manifest meaningful and comprehensive pedagogical content knowledge (PCK) of mathematics
  5. Appreciate mathematics as an opportunity for creative work, moments of enlightenment, discovery and gaining insights of the world.

Course Intended Learning

Outcomes (CILO)

At the end of this course, the students should be able to:

  1. Demonstrate knowledge and skills in data gathering, processing, and communication
  2. Use appropriate statistical measures to describe and compare data sets
  3. Run appropriate inferential statistical tests to verify hypotheses and formulate data-driven conclusions and decisions
  4. Use appropriate statistical treatments to analyze a teacher-made summative test, profile students’ performance, and generate recommendations for enhancement
  5. Exhibit competence in the use of statistical software in data processing as entailed by actual mini research relating to teaching and learning
  6. Manifest accuracy in data handling for evidence-based decisions.

Week

Intended Learning Outcomes

(ILO)

Declarative Knowledge / Topics Teaching / Learning Activities (TLAs) Assessment Tasks (ATs)

CCC Philosophy : We Create Possibilities for Life-long Learning CCC Vision : Center For Inclusive Education in building Discipline and Good Character for God and Humanity

Give examples where the

Philosophy, Vision, and Mission

Statements of the CCC can be

applied personally.

Introduction and Orientation

Grading System

VMP School Policies, Rules and

Regulations

F2F Asynchronous Synchronous

Assessment Rubric for Role Play

Role Playing Activity Reflection Paper

Interactive Discussion

Differentiate between

descriptive and Inferential

Statistics, Population and

Sample, Variables and Types of

Data.

The Nature of Statistics

Description and history of

statistical science

  • Descriptive and Inferential

Statistics

  • Population and Sample
  • Variables and types of Data

F2F Asynchronous Synchronous

Oral Recitation

Quiz

Interactive Lecture

students are presented

with names of variables

and are asked to give the

best answer.

Product-based:

Completed T-Chart or

Venn Diagram:

Interactive Lecture

Apply the appropriate sampling

technique during data

collection.

Collection and Sampling

Techniques

Data Collection

Sampling Techniques

F2F Asynchronous Synchronous

Written Works and digital

technology application Cooperative Learning

Structure

Product-based:

Completed Frequency

Distribution Table

Histograms Charts and

other graphs

Interactive Discussion

Use appropriate digital

technology in organizing data.

Presentation of Data

  • Data Presentation

F2F Asynchronous Synchronous

Product-based output in digital

form: Charts and other graphs

Rubric for group presentation

Group Presentation of

output

Product-based output in

digital form.

Group Presentation of

output

Create a frequency distribution

for a mass of data. Frequency Distribution

F2F Asynchronous Synchronous

Quiz Interactive Discussion

Product-based:

Completed frequency

distribution for the mass of

data

Interactive Discussion

Calculate the mean, median,

and mode of ungrouped and

grouped data.

Measures of Central Tendency

  • ungrouped
    • grouped

F2F Asynchronous Synchronous

Group Output

Evaluative Quiz

Lecture Method

Cooperative Learning

Structure: Think-Pair-

Share-

Problem set to answer

about the various

measures of central

tendency

Lecture Method

6 Calculate and interpret the

various measures of variation

Measures of Variation

  • ungrouped

F2F Asynchronous Synchronous Group Activity

Group Interactive Concept Paper on the Interactive Discussion

Apply concepts and principles

of normal distribution to real-life

problems.

The Normal Distribution

Applications of the Normal

Distribution

F2F Asynchronous Synchronous

Quiz

Interactive discussion Problem set to answer in

the google classroom

Online interactive discussion

Formulate null and alternative

hypotheses based on the given

problem.

Hypothesis Testing

Steps in Hypothesis Testing

  • Hypothesis Testing using the

traditional method and the p-value

method

F2F Asynchronous Synchronous

Interactive Discussion

Problem-Solving Activities

Activity sheet to answer in

the google classroom

Online Interactive

Discussion

Written Works: Hypothesis

Formulation and decision making

Establish a decision rule for

accepting or rejecting statistical

hypotheses at a specified level

of significance.

Testing the Difference Between

Two Means

 z Test

 t Test

F2F Asynchronous Synchronous

Group Activity

Evaluative Quiz

Lecture Method

Group Interactive

Discussion

Research on the sample

problems related to z-test

and t-test submit the

output in google

classroom

Online Interactive

Discussion

Investigate several teacher-

made tests, the profile of

students’ performance and

choose appropriate statistical

treatments to analyze the data.

Applying Statistical Procedures

to Problem

F2F Asynchronous Synchronous

Written Work:

  • Interpretation of the teacher-

made test

  • Profile of students’ academic

achievement

  • A one-sentence summary of the

Recommendation.

Hands-on Activity:

Students are given sample

teacher-made tests and

ask them to compute the

different measures like

mean, median, mode, and

the like and ask

them to interpret these

values.

Activity sheet to answer

in the google classroom

Online Interactive

Discussion of the Activity

FINAL EXAMINATION Performance-Based Test: Presentation of the Interpreted teacher made test

Basic Readings Books

Martin, Matt, Ph. D. (2021). Statistics for Business and Management. Intramuros, Manila: Unlimited Books Library Services and Publishing Inc.

Te, Danilo M., DBA (2019). Business Research with Statistical Applications: Textbook and Guidebook for Doing and Writing Research. CM Recto Avenue, Manila,

Philippines: Rex Book Store Inc.

Cuarto, Polymer M., PhD & Agutaya, Christian Anthony C.,PhD (2019). Basic Statistics: A Worktext. Quezon City, Metro Manila: Central Book Supply, Inc.

Broto, Antonio S. (2008). Parametric Statistics (With Computer-Aided Solutions). Mandaluyong City: National Book Store

Broto, Antonio S. (2008). Non parametric Statistics (With Computer-Aided Solutions). Mandaluyong City: National Book Store

Subong, Pablo E. Jr., Ed.D., Ph.D. & Beldia, McDonald D., Ph. D. (2005). Statistics for Research Applications in Research Thesis and Dissertation Writing, And Statistical

Data Management Using SPSS Software. Sampaloc, Manila: Rex Book Store, Inc.

Altares,Priscilla S. (2005). Elementary Statistics with Computer Applications. CM Recto Avenue, Manila Philippines: Rex Book Store Inc.

Extended Readings

To be provided

Course Assessment As identified in the Assessment Task

Grading System

Preliminary Examination - 20 %

Midterm Examination - 20 %

Final Examination - 20 %

Class standing (IPO) - 40 %

Course Policies

Language of Instructions

 English

Attendance

 As identified in the student handbook

 Notify the teacher in case of Absence

Homework, Quizzes, Written Reports, Reaction, Reflection Papers, Research, and Lesson Plans

 Must be submitted on time

Special Requirement

 Participation in the different school activities that contribute to the development of individual

 Other Requirement / Project

Grading System (Class Standing)

Input - 30%

Process - 30%

Outcomes - 40%

Classroom Rules and Regulations

Students must

 Avoid being late in the class

 Notify the teacher when leaving the class

 Refrain from any behavior which might interrupt the class

 Refrain from unnecessary conversation during class

 Present Medical Certificate to the teacher in case the students missed taking the examination. However, this will not erase the absences/tardiness incurred in

the subject.