Republic of the Philippines Department of Education Division of Surigao City CARAGA Regional Science High School San Juan, Surigao City

SYLLABUS IN ADVANCED STATISTICS IN RESEARCH S.Y. 2012-2013 60 minutes/day

I. SUBJECT DESCRIPTION: The Advanced Statistics is designed to develop understanding and skills in estimating parameters by the use of Exploratory Data Analysis (EDA) to determine various characteristics of data. Thinking and understanding are encouraged, with the need to formulate different strategies of counting systematically and efficiently. Visual and analytical models in learning are brought together to integrate problem solving uncertainty to problems involving statistical inference about the population based on data from samples using hypothesis testing. The subject relates relationships of principles of two characteristics of population to make inferences about population characteristics based on analysis of variance. Unit : 1.5 Number of Hours: 60 minutes/day 300minutes/week

II. SUBJECT/ UNIT OUTLINE: FIRST GRADING I - Exploratory Data Analysis (EDA) 1.1 Stem ans Leaf Plot 1.2 Box and Whiskers Plot II - Counting Techniques 2.1 Fundamental Counting Principles (FCP) 2.2 Permutation 2.3 Combinations III – Probability 3.1 Conceptual approaches for defining probability 3.2 Laws of Probability

SECOND GRADING IV - Normal Probability Distribution 4.1 Characteristics of the Normal Curve 4.2 Z-score 4.3 Areas under the normal curve 4.4 Application of the Normal Probability Distribution V – Sampling Distribution 5.1 Importance of Sampling distribution 5.2 Standard Error of the Mean 5.3 Central Limit Theorem VI – Estimation of Parameters 6.1 Importance of estimating parameters 6.2 Estimation of means of both small and large samples 6.3 Estimation of the difference between two means of population variances that are known using the t- statistics 6.4 Estimation of the ratio of two variance using the F- Statistics

THIRD GRADING VII – Hypothesis Testing 7.1 Definition of hypothesis 7.2 Types of hypothesis 7.3 Test of hypothesis 7.4 Type I error and type II error 7.5 Level of significance 7.6 Steps in hypothesis testing 7.7 Test Statistics a. t-statistics b. Chi square c. Z-test VIII – Regression and Correlation 8.1 Simple Regression a. Definition b. Importance c. Regression equation d. Regression Coefficient e. Application and interpretation 8.2 Correlation a. Description b. Degree of relationship between two variables c. Correlation between interval data d. Correlation between ordinal data

FOURTH GRADING IX – Analysis of Variance (ANOVA) A. One Way ANOVA 9.1 Importance of ANOVA 9.2 Formulae and Symbols 9.3 Analysis and interpretation of F-value 9.4 Steps in solving simple analysis of variance III – GENERAL OBJECTIVES: (First Grading) - Use the techniques of EDA to determine various characteristics of data - Formulate different strategies of counting systematically and efficiently - Solve problems involving uncertainty (Second Grading) - Solve problems involving normal curve - Apply sampling distribution to problems involving statistical inference - Demonstrate understanding and skills in estimating parameters (Third Grading) - Make inferences about the population based on data from samples using hypothesis testing - To determine relationships of two characteristics of a population (Fourth Grading) - To make inferences about population characteristics based on analysis of variance

IV – REFERENCES: A. Text book B. Other reference book C. Website D. Materials/Teaching Aids d.1 Syllabus d.2 Chalk/Board/Eraser d.3 Calculator

V - GRADING SYSTEM: Grades for Advanced Statistics is computed as follows:

Periodical Test- 15% Quizzes---------- 15% Performance---- 30% Project------------ 25% Unit Test--------- 15% Total -------------- 100%

VI – ACTIVITIES: (Module)

VII – TABLE OF SPECIFICATION/PERIODIC EXAMINATIONS:

VIII – PROJECT: (EXPECTED OUTPUT)

Grading Output ( Compilation of Problems Related to the Topic)

Republic of the Philippines Department of Education Division of Surigao City CARAGA Regional Science High School San Juan, Surigao City

LEARNING MODULES IN ADVANCED STATISTICS IN RESEARCH S.Y. 2011-2012 60 minutes/day

FIRST QUARTER Learning Module 1

CONTENT

COMPETENCIES/ OBJECTIVES

SUGGESTED ACTIVIES / OUTPUT

TEACHING METHOD

TIME ALLOTED (IN WEEK)

Subject Orientation

Organization and Presentation of Data

Tabular Presentation of Data

Graphical Presentation of data

- Acquaint the students on the subject rules, grading system, subject requirements - Introduce the subject- Advanced Statistics - Present the subject outline

- Discuss the textual and illustrate by example the textual presentation of data

- Use the textual presentation of data from the gathered

- Explain and illustrate by examples the tabular presentation of data

- Explain how to use the different kinds of graphs in presenting data

- Use the different kind of graphs in presenting data

Teacher’s Exposition

- Board Work

- Board Work

- Individual Output

- Individual Output of graphical presentation

Lecture

Discussion Power point Presentation

Teacher’s Exposition Think, Pair and Share Language Integration

Republic of the Philippines Department of Education Division of Surigao City CARAGA Regional Science High School San Juan, Surigao City

LEARNING MODULES FOR BASIC CHEMISTRY S.Y. 2011-2012 60 minutes/day

FIRST QUARTER Learning Module 2 June 20-July 1, 2011 16 days

CONTENT

COMPETENCIES/ OBJECTIVES

SUGGESTED ACTIVIES / OUTPUT

TEACHING METHOD

TIME ALLOTMENT

Unit II- Measurements

Metric System and SI Units

- How to use prefixes in conversion

- Factor-label method

Guidelines in Handling Numbers

- Significant Figures

- Scientific Notation

- Mathematical Operations Involving Significant Figures and Scientific Notation

A. Convert one unit to another using prefixes and factor-label method - Length - Mass - Time -Temperature -Volume - Density

B. Explain the rules in determining Significant figures and Scientific Notation

C. Apply the rules in adding, subtracting, multiplying and dividing significant figures and scientific notation.

Answer Activity Involving Convert of Units

Laboratory Activity involving measurement for length, mass, temperature, volume and density

Laboratory Activity on Uncertainty of Measurement

Drills and Written Exercises

Lecture Discussion Lab. Activity

7 days (420 min)

9 days ( 560mins)

Republic of the Philippines Department of Education Division of Surigao City CARAGA Regional Science High School San Juan, Surigao City

LEARNING MODULES FOR BASIC CHEMISTRY S.Y. 2011-2012 60 minutes/day

FIRST QUARTER Learning Module 3 July 4-15, 2011 24days

CONTENT

COMPETENCIES/ OBJECTIVES

SUGGESTED ACTIVIES

TEACHING METHOD

TIME ALLOTMENT

Unit III- Classifying Matter

Matter and its properties

- Homogeneous and Heterogeneous System

- Physical and Chemical Properties

- Phase s of Matter

- Phase Changes

- Pure Substances and Mixtures

Pure Substances

- Elements and Compounds - Acids, Bases and Salts

General Properties of Acids and Bases

Identifying Acids and Bases Through their Chemical Formula

Mixtures

- Compounds versus mixtures

- Homogeneous and Heterogeneous Mixtures

- Types of Mixtures

- Methods of Separating Mixtures

A. Differentiate a. homogeneous system from heterogeneous system , b.pure substance from mixtures, c. physical from chemical properties, d. physical from chemical change

B.Distinguish the three phases of matter and the three types of mixtures

C.Classify elements as metal, non-metals and metalloids

D.Classify compounds as acids, bases or salts and organic or inorganic

E.Describe the role of elements and compounds in living organisms and in industry

F.Discuss the methods of separating mixtures

8 days

10 days

6 days

Republic of the Philippines Department of Education Division of Surigao City CARAGA Regional Science High School San Juan, Surigao City

LEARNING MODULES FOR BASIC CHEMISTRY S.Y. 2011-2012 60 minutes/day

FIRST QUARTER Learning Module 4 July 18-August 5, 2011 15 days (900 minutes)

CONTENT

COMPETENCIES/ OBJECTIVES

SUGGESTED ACTIVIES

TEACHING METHOD

TIME ALLOTMENT

Unit IV-Atoms: Is it Real?

Early Atomic Theories

- The Indivisible Atom

- Dalton’s Atomic Theory

Modern Atomic Theories

- Thompson Plum Pudding Model of the Atom

- Rutherford’s Nuclear Atom

Properties of an Atom

- Proton, Electrons and Neutrons

- Atomic Mass and Atomic Number

- Quarks

Radioactivity

- Isotopes and Radioactivity

- Radioactive decay

Quantum Mechanical Model

Electronic Configuration

- Rules Governing Electronic Configuration

- Orbital Notation

- Exception to Aufbau Principle

A.Describe the different theories on the nature of atom. B. Illustrate the development of the different models of the atom.

C.Describe the modern atomic theory of an atom. D. Distinguish the parts of the nuclear atom.

E.Specify the practical applications of the discovery of atomic and subatomic particles

F.Relate the sub-atomic particles to the atomic number and atomic mass

G.Describe the nature of quarks and relate them to other particles. H.Correlate the existence of isotopes to radioactivity

I.Explain the quantum theory

J.Illustrate the behavior of electrons using quantum-mechanical model K.Apply the Pauli’s Exclusion Principle,Aufbau’s Principle and Hund’s Rule of Multiplicity in determining the electronic configuration and orbital notation of an atom

Republic of the Philippines Department of Education Division of Surigao City CARAGA Regional Science High School San Juan, Surigao City

LEARNING MODULES FOR BASIC CHEMISTRY S.Y. 2011-2012 60 minutes/day

SECOND QUARTER Learning Module 5 August 8-12, 2011 300 minutes

CONTENT

COMPETENCIES/ OBJECTIVES

SUGGESTED ACTIVIES

TEACHING METHOD

TIME ALLOTMENT

Republic of the Philippines Department of Education Division of Surigao City CARAGA Regional Science High School San Juan, Surigao City

LEARNING MODULES FOR BASIC CHEMISTRY S.Y. 2011-2012 60 minutes/day

Learning Module 6 August 1-6, 2011 300 minutes

CONTENT

COMPETENCIES/ OBJECTIVES

SUGGESTED ACTIVIES

TEACHING METHOD

TIME ALLOTMENT

A. EXPECTED PROJECT B. EXPERIMENTS C. TABLE OF SPECIFICATION D. PERIODIC TEST

Department of Education

Division of Surigao City

CARAGA Regional Science High School

San Juan, Surigao City

SYLLABUS IN ADVANCED STATISTICS IN RESEARCHS.Y. 2012-201360 minutes/dayI.SUBJECT DESCRIPTION:The Advanced Statistics is designed to develop understanding and skills in estimating parameters by the use of Exploratory Data Analysis (EDA) to determine various characteristics of data. Thinking and understanding are encouraged, with the need to formulate different strategies of counting systematically and efficiently. Visual and analytical models in learning are brought together to integrate problem solving uncertainty to problems involving statistical inference about the population based on data from samples using hypothesis testing.

The subject relates relationships of principles of two characteristics of population to make inferences about population characteristics based on analysis of variance.

Unit : 1.5

Number of Hours: 60 minutes/day

300minutes/week

II.SUBJECT/ UNIT OUTLINE:FIRST GRADINGI - Exploratory Data Analysis (EDA)

1.1 Stem ans Leaf Plot

1.2 Box and Whiskers Plot

II - Counting Techniques

2.1 Fundamental Counting Principles (FCP)

2.2 Permutation

2.3 Combinations

III – Probability

3.1 Conceptual approaches for defining probability

3.2 Laws of Probability

SECOND GRADINGIV - Normal Probability Distribution

4.1 Characteristics of the Normal Curve

4.2 Z-score

4.3 Areas under the normal curve

4.4 Application of the Normal Probability Distribution

V – Sampling Distribution

5.1 Importance of Sampling distribution

5.2 Standard Error of the Mean

5.3 Central Limit Theorem

VI – Estimation of Parameters

6.1 Importance of estimating parameters

6.2 Estimation of means of both small and large samples

6.3 Estimation of the difference between two means of

population variances that are known using the t-

statistics

6.4 Estimation of the ratio of two variance using the F-

Statistics

THIRD GRADINGVII – Hypothesis Testing

7.1 Definition of hypothesis

7.2 Types of hypothesis

7.3 Test of hypothesis

7.4 Type I error and type II error

7.5 Level of significance

7.6 Steps in hypothesis testing

7.7 Test Statistics

a. t-statistics

b. Chi square

c. Z-test

VIII – Regression and Correlation

8.1 Simple Regression

a. Definition

b. Importance

c. Regression equation

d. Regression Coefficient

e. Application and interpretation

8.2 Correlation

a. Description

b. Degree of relationship between two variables

c. Correlation between interval data

d. Correlation between ordinal data

FOURTH GRADINGIX – Analysis of Variance (ANOVA)

A. One Way ANOVA

9.1 Importance of ANOVA

9.2 Formulae and Symbols

9.3 Analysis and interpretation of F-value

9.4 Steps in solving simple analysis of variance

III – GENERAL OBJECTIVES: (First Grading)- Use the techniques of EDA to determine various characteristics of data

- Formulate different strategies of counting systematically and efficiently

- Solve problems involving uncertainty

(Second Grading)- Solve problems involving normal curve

- Apply sampling distribution to problems involving statistical inference

- Demonstrate understanding and skills in estimating parameters

(Third Grading)- Make inferences about the population based on data from samples using hypothesis testing

- To determine relationships of two characteristics of a population

(Fourth Grading)- To make inferences about population characteristics based on analysis of variance

IV – REFERENCES:A. Text book

B. Other reference book

C. Website

D. Materials/Teaching Aids

d.1 Syllabus

d.2 Chalk/Board/Eraser

d.3 Calculator

V - GRADING SYSTEM:Grades for Advanced Statistics is computed as follows:

Periodical Test- 15%

Quizzes---------- 15%

Performance---- 30%

Project------------ 25%

Unit Test--------- 15%

Total -------------- 100%

VI – ACTIVITIES: (Module)VII – TABLE OF SPECIFICATION/PERIODIC EXAMINATIONS:VIII – PROJECT: (EXPECTED OUTPUT)Grading Output ( Compilation of Problems Related to the Topic)

Neatness----------------------- --------------------- 25%

Promptness:-------------------------------------- 25%

Content--------------------------------------------- 30%

Reliability------------------------------------------ 10%

Validity--------------------------------------------- 10%

Total ------------------------------------------------- 100%

VI – RUBRICS:Prepared by:

GRACE B. ALVARADOMT-I

Checked:

MATILDE J. MANLIGUISPrincipal IV

Republic of the Philippines

Department of Education

Division of Surigao City

CARAGA Regional Science High School

San Juan, Surigao City

LEARNING MODULES IN ADVANCED STATISTICS IN RESEARCHS.Y. 2011-201260 minutes/dayFIRST QUARTER

Learning Module 1

Organization and Presentation of Data

Tabular Presentation of Data

Graphical Presentation of data

- Introduce the subject- Advanced Statistics

- Present the subject outline

- Discuss the textual and illustrate by example the textual presentation of data

- Use the textual presentation of data from the gathered

- Explain and illustrate by examples the tabular presentation of data

- Explain how to use the different kinds of graphs in presenting data

- Use the different kind of graphs in presenting data

- Board Work

- Board Work

- Individual Output

- Individual Output of graphical presentation

Discussion

Power point

Presentation

Teacher’s Exposition

Think, Pair and Share Language Integration

Teacher’s Exposition

Cooperative Learning

Multiple Intelligence

1day

( 60 min )

7th week

8th week

9th week

10th week

Republic of the Philippines

Department of Education

Division of Surigao City

CARAGA Regional Science High School

San Juan, Surigao City

LEARNING MODULES FOR BASIC CHEMISTRYS.Y. 2011-201260 minutes/dayFIRST QUARTER

Learning Module 2

June 20-July 1, 2011

16 days

OBJECTIVES

- How to use prefixes in conversion

- Factor-label method

- Significant Figures

- Scientific Notation

- Mathematical Operations Involving Significant Figures and Scientific Notation

- Length

- Mass

- Time

-Temperature

-Volume

- Density

B. Explain the rules in determining Significant figures and Scientific Notation

C. Apply the rules in adding, subtracting, multiplying and dividing significant figures and scientific notation.

Discussion

Lab. Activity

(420 min)

9 days

( 560mins)

Republic of the Philippines

Department of Education

Division of Surigao City

CARAGA Regional Science High School

San Juan, Surigao City

LEARNING MODULES FOR BASIC CHEMISTRYS.Y. 2011-201260 minutes/dayFIRST QUARTER

Learning Module 3

July 4-15, 2011

24days

OBJECTIVES

- Matter and its properties

- Homogeneous and Heterogeneous System- Physical and Chemical Properties

- Phase s of Matter

- Phase Changes

- Pure Substances and Mixtures

- Pure Substances

- Elements and Compounds- Acids, Bases and Salts

- Compounds versus mixtures

- Homogeneous and Heterogeneous Mixtures

- Types of Mixtures

- Methods of Separating Mixtures

a. homogeneous system from heterogeneous system ,

b.pure substance from mixtures,

c. physical from chemical properties,

d. physical from chemical change

B.Distinguish the three phases of matter and the three types of mixtures

C.Classify elements as metal, non-metals and metalloids

D.Classify compounds as acids, bases or salts and organic or inorganic

E.Describe the role of elements and compounds in living organisms and in industry

F.Discuss the methods of separating mixtures

10 days

6 days

Republic of the Philippines

Department of Education

Division of Surigao City

CARAGA Regional Science High School

San Juan, Surigao City

LEARNING MODULES FOR BASIC CHEMISTRYS.Y. 2011-201260 minutes/dayFIRST QUARTER

Learning Module 4

July 18-August 5, 2011

15 days (900 minutes)

OBJECTIVES

- Early Atomic Theories

- The Indivisible Atom- Dalton’s Atomic Theory

- Modern Atomic Theories

- Thompson Plum Pudding Model of the Atom- Rutherford’s Nuclear Atom

- Properties of an Atom

- Proton, Electrons and Neutrons- Atomic Mass and Atomic Number

- Quarks

- Radioactivity

- Isotopes and Radioactivity- Radioactive decay

- Electronic Configuration

- Rules Governing Electronic Configuration- Orbital Notation

- Exception to Aufbau Principle

B. Illustrate the development of the different models of the atom.

C.Describe the modern atomic theory of an atom.

D. Distinguish the parts of the nuclear atom.

E.Specify the practical applications of the discovery of atomic and subatomic particles

F.Relate the sub-atomic particles to the atomic number and atomic mass

G.Describe the nature of quarks and relate them to other particles.

H.Correlate the existence of isotopes to radioactivity

I.Explain the quantum theory

J.Illustrate the behavior of electrons using quantum-mechanical model

K.Apply the Pauli’s Exclusion Principle,Aufbau’s Principle and Hund’s Rule of Multiplicity in determining the electronic configuration and orbital notation of an atom

Republic of the Philippines

Department of Education

Division of Surigao City

CARAGA Regional Science High School

San Juan, Surigao City

LEARNING MODULES FOR BASIC CHEMISTRYS.Y. 2011-201260 minutes/daySECOND QUARTER

Learning Module 5

August 8-12, 2011

300 minutes

OBJECTIVES

Republic of the Philippines

Department of Education

Division of Surigao City

CARAGA Regional Science High School

San Juan, Surigao City

LEARNING MODULES FOR BASIC CHEMISTRYS.Y. 2011-201260 minutes/dayLearning Module 6

August 1-6, 2011

300 minutes

OBJECTIVES

A. EXPECTED PROJECT

B. EXPERIMENTS

C. TABLE OF SPECIFICATION

D. PERIODIC TEST