2advalg

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HOLY ANGEL UNIVERSITY School of Education

Angeles City

HAU MISSION AND VISION

We, the academic community of Holy Angel University, declare ourselves to be a Catholic University. We dedicate ourselves to our core purpose, which is to provide accessible quality education that transforms students into persons of conscience, competence, and compassion.

We commit ourselves to our vision of the University as a role--‐model catalyst for countryside development and one of the most influential, best--‐managed Catholic universities in the Asia--‐Pacific region.

We will be guided by our core values of Christ--‐ centeredness, integrity, excellence, community, and societal responsibility.

All these we shall do for the greater glory of God. LAUS DEO SEMPER!

School of Education

Vision

The leading Catholic institution of teacher education in the region that serves as a benchmark for quality instruction, research and other best teaching learning practices.

Mission

To provide quality education that enables students to be critical thinkers, mindful of their responsibilities to society and equipped with holistic education catering to the heart and soul as well as to the body and mind.

Goals

To offer programs and projects that promote Christ centeredness, integrity, excellence, community and societal responsibility, leadership, scholarship, lifelong learning, effective communication, innovation, gender sensitivity and technological integration

Objectives

1. To provide students with the opportunities and exposure to develop them and become highly competent educators, leaders and experts who continuously work for the advancement of educational thinking and practice

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2. To instill in the students the spirit of community involvement through relevant programs/projects and become more responsive to the challenges of a progressive and dynamic society

3. To continuously hire academically and professionally qualified and competent faculty equipped with expertise and exposure needed in the practice of the profession

4. To serve as a benchmark for quality instruction, research and best teaching learning practices

Teacher Education Program Outcomes

1. Have the basic and higher level literacy, communication, numeracy, critical thinking, learning skills needed for higher learning 2. Have a deep and principled understanding of the learning processes and the role of the teacher in facilitating these processes in

their students

3. Have a deep and principled understanding of how educational processes relate to a larger historical, social, cultural, and political processes

4. Have a meaningful and comprehensive knowledge of the subject matter they will teach

5. Can apply a wide range of teaching process skills ( including curriculum development, lesson planning, materials development, educational assessment, and teaching approaches)

6. Have direct experience in the field/classroom ( e.g. classroom observation, teaching assistant, practice teaching) 7. Can demonstrate and practice the professional and ethical requirements of the teaching profession

8. Can facilitate learning of diverse types of learners, in diverse types of learning environments, using a wide range of teaching knowledge and skills

9. Can reflect on the relationships among the teaching process skills, the learning processing in the students, the nature of the content/subject matter, and the broader social forces encumbering the school and educational process in order to constantly improve their teaching knowledge, skills, and practices

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10. Can be creative and cooperative in thinking of alternative teaching approaches, take informed risks in trying out these innovative approaches, and evaluate the effectiveness of such approaches in improving student learning ; and

11. Are willing and capable to continue learning in order to better fulfill their mission as teachers.

COURSE SYLLABUS in AdvancedAlgebra (2ADVALG)

Faculty: Engr. MARIA CRISTINA A. SICAT Course Title: Advanced Algebra

Course Code: 2ADVALG Number of Units: 3 Units Contact Hours Per Week: 3 Hours Pre-requisite subject/s: 2Algebra

COURSE DESCRIPTION:

This course is an extension of college algebra. It deals with the solutions of higher degree equations, specifically, polynomial equations and polynomial functions. It also covers an extensive discussion on variations, sequences and logarithmic functions, complex numbers and determinants. Students are expected to demonstrate computational and problem solving skills with speed and accuracy that can be applied in their field of specialization.

COURSE LEARNING OUTCOMES:

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At the end of the course, the students are expected to:

1. Demonstrate patience, perseverance, and self- reliance in solving problems and in using graphing calculator.

2. Demonstrate mastery of concepts and principles in numerical expressions, logical thinking and problem solving as applied in the major areas

3. Demonstrate logical thinking, computational and problem solving skills necessary for the real life application of mathematics in the various activities of man

4. Translate mathematical skills and ideas in oral and written form with clarity and precision 5. Display teamwork in performing group activities

6. Demonstrate self-reliance, integrity, patience, curiosity, perseverance, and competence in doing mathematical activities; and exhibit good disposition to do Mathematics and to teach mathematics.

7. Demonstrate orderliness that will simplify complicated life situations 8. Express him/herself clearly and precisely

9. Demonstrate the value of persistence, patience and perseverance when dealing with math problems.

10. Demonstrate the value of honesty in problem solving

COURSE CONTENT:

Time Table

(Hrs.)

Desired Learning Outcomes

Course

Content/Subject Matter

Teaching and Learning Activities (Methodology)

Assessment Task/Student

Output

Evaluation Tool

Resource Materials

1

At the end of the session, the students should be able to:

 Abide by the

“house rules”

set by the class.

 Identify and

ORIENTATION

 Setting of House Rules

 Course Requirements

 Grading System

 Acquaintanceship

Interactive discussion of classroom rules and expectations

Course outline seen and signed

by student

Recitation

Student Handbook

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Time Table

(Hrs.)

Course

Output

Evaluation Tool

Resource Materials

describe the course requirements and grading system.

3

5

 Learn the general definition and classification of polynomials.

 Perform operations on polynomials.

 Perform synthetic division.

 Define and classify polynomial equations.

 Solve quadratic equations using different

methods.

 Solve higher- degree polynomial equations by

I. POLYNOMIAL EQUATIONS

A. Basic Concepts of Polynomial B. Operations on

Polynomials C. Synthetic

Division (Factor/Remain der Theorems) D. Polynomial

Equations E. Quadratic Equation F. Solving

Polynomial Equations by Factoring G. Solving

Polynomial Equations by Synthetic Division

Interactive Lecture/

Discussion thru:

Illustrative examples on operations involving Polynomials

Lecture- Discussion Drills/Exercises Problem Solving

Group Report

Reading assignment Practice Drills/

Cooperative Learning

Quiz Problem Set

Individual/Grou p Work

Learning Paper

Must attain at least a 60%

passing rate Scoring Rubric Must attain at least a 60%

passing rate Rubric on Individual/

Group Report Scoring Rubric

Intermediate Algebra Instructor’s Edition by K.

Elayn Martin- Gay Intermediate

Algebra Instructor’s Edition by K.

Elayn Martin- Gay

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Time Table

(Hrs.)

Course

Output

Evaluation Tool

Resource Materials

factoring and synthetic division.

 Set up the polynomial equation given the roots.

H. Forming the Polynomial Equation Given the Roots

4

 Describe relationships using different types of models.

 Define and evaluate a function

 Classify relations whether or not a relation is a function

 Make predictions based on time- saving models such as algebraic functions.

 Identify graphs of different polynomial functions.

II. POLYNOMIAL FUNCTIONS

A. Relation B. Function C. Polynomial

Function

D. Linear Function E. Quadratic

Function F. Higher-Degree

Polynomial Functions

Interactive Lecture Discussion

Drills and exercises

Visual Representations

Real life word problems Sketching graphs

of functions and relations

Seatwork Math Games and Activities Practice Drills/

passing rate Scoring rubric

Algebra II by Edward Kohn, M.S, 1^st Edition

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Time Table

(Hrs.)

Course

Output

Evaluation Tool

Resource Materials

1 P R E L I M I N A R Y E X A M I N A T I O N 5

 Define variation

 Differentiate between direct and inverse variations.

 Express variation as equations.

 Solve problems involving variations.

III. Variation

A. Direct variation B. Inverse

Variation C. Other Types of Variation (Joint and Combined)

Interactive Lecture Discussion thru

power point presentation and

Manual Board Presentation

Demonstration

Games

Seatwork Recitation and

Board work Quiz

passing rate Scoring rubric

Advanced Algebra 2^nd Edition Sharon L. Senk et.a www.purplemat h.com

3

 Differentiate between

sequences, series and sum.

 Differentiate between arithmetic, geometric and harmonic sequences.

 Use formulas to

IV. SEQUENCES A. Sequences, Series, Sum

B. Arithmetic Sequence C. Geometric

Sequence D. Harmonic

Sequence

Interactive Lecture Discussion Powerpoint and

Manual Board Presentation

Drills and

Seatwork Practice Drills

Quiz

Must attain at least 60%

passing rate Rubric on Individual/

Group Report Scoring Rubric

Algebra II by Edward Kohn, M.S, 1^st Edition Intermediate Algebra 9^th Edition by Charles P.

McKeague www.

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Time Table

(Hrs.)

Course

Output

Evaluation Tool

Resource Materials

find the terms and the sum of the terms of a sequence.

 Find the general terms of a sequence.

exercises Mathworld.com

6

 Define exponent and logarithm

 Apply the laws of exponents

 Converting between

logarithmic form and exponential form

 Use the definition of logarithms to solve simple logarithmic equations

 Sketch a graph of a logarithmic function.

 Simplify expressions

V. EXPONENTS AND LOGARITHMS

A. Laws of Exponents B. Simplifying

Exponential Expressions C. Logarithms D. Simple and Exponential Logarithms E. Exponential

and Logarithmic Functions F. Laws of

Logarithms G. Complex

Interactive Lecture Discussion thru

Power point Presentation,

Illustrative Examples and Manual

Board Presentation

Structured Learning Experiences

(SLEs) Demonstration

Practice Drills Cooperative

Learning

Seatwork Math Games and Activities

Quiz

passing rate Scoring Rubric

Advanced Algebra 2^nd Edition Sharon L. Senk et.al

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Time Table

(Hrs.)

Course

Output

Evaluation Tool

Resource Materials

involving logarithms

 Use technology on Exponents and Logarithms

Logarithmic Equations H. Common

Logarithms and Antilogarithms I. Using

Calculator on Exponents and Logarithms J. Solving

Exponential Equation by Logarithms

Drills and exercises

1 M I D T E R M E X A M I N A T I O N 3

 Define imaginary and complex numbers

 Represent complex numbers by graphs

VI. COMPLEX NUMBERS

A. Imaginary and Complex B. Graphical

Representation of Complex Numbers

Interactive Lecture Discussion using

illustrative examples

Cooperative Learning Rubric on

Group Output/Presenta

tion

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Time Table

(Hrs.)

Course

Output

Evaluation Tool

Resource Materials

3  Determine the conjugate, absolute value and

multiplicative inverse of complex numbers

C. Conjugate, Absolute Value and

Multiplicative Inverse of Complex Numbers

Interactive Lecture Discussion using

illustrative examples Demonstration

Practice Drills Seatwork

3  Perform

operations with complex numbers

 Solve problems involving complex numbers with accuracy

D. Operations with Complex Numbers

Interactive Lecture/

Discussion using illustrative

examples Drill and exercises Games

Practice Drills Seatwork

2  State, illustrate and apply the properties of determinants

 Identify the properties of determinants.

 Calculating the value of

VII.

DETERMINANTS A. Second and

third order determinants B. Cofactor

Expansion

Interactive Lecture/Discussi

on using illustrative

examples Open Discussion

Graphing Peer exchange

Quiz

Must attain 50

% passing rate

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Time Table

(Hrs.)

Course

Output

Evaluation Tool

Resource Materials

determinants by expanding and evaluating them to find their given value.

 Evaluate the value of second order and third order

determinants

 Verify the determinant.

 Solve

simultaneous systems of equations using the Cramer’s Rule.

C. Cramer’s Rule

3

Define discriminant and describe the nature of the roots of a given quadratic equation

The Discriminant

Interactive Lecture/Discussi

on using illustrative

examples Open Discussion

Graphing Peer exchange

Quiz Must attain 50

% passing rate

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Time Table

(Hrs.)

Course

Output

Evaluation Tool

Resource Materials

1 F I N A L E X A M I N A T I O N

Course Requirements:

Class Standing: quizzes, seat works, assignments, recitation, problem sets, projects Major Exams: Prelim, Midterm, Finals

Classroom Policies:

1. Official Website

The student should register at the official group website for some announcements, updates, and other information related to the subject.

A copy of the powerpoint presentation of the lesson, scoring rubric, and assignments for every grading period are posted in the website.

2. Attendance and Punctuality.

The student is expected to come to class regularly and on time. For absences, please refer to Policy on Absences below.

3. Active class participation/Group Activity.

The student is expected to participate actively in class recitations, discussions, and other activities as the case maybe.

The student is also expected to work harmoniously with his/her group mates and contribute to the preparation of their group work.

4. Projects and Other Requirements.

The student is expected to submit all projects and other requirements on time. He/She is also expected to prepare and present the assigned topic on the scheduled date.

The student should provide the instructor a copy of the scoring rubric every time a requirement is submitted.

5. Electronic Devices.

Students are not permitted to use any electronic devices with the exception of approved calculators anytime during class.

This includes the wearing of headsets and cellular telephone earpieces as well as laptop computers.

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All electronic devices other than those approved must be in the OFF position during exams and quizzes.

6. On Examination

The student is allowed to have a copy of formulas (with the instructor’s signature) and to use a calculator during examination.

7. Students are not permitted to use any electronic devices with the exception of approved calculators anytime during class.

This includes the wearing of headsets and cellular telephone earpieces as well as laptop computers.

All electronic devices other than those approved must be in the OFF position during exams and quizzes.

8. On Examination

The student is allowed to have a copy of formulas (with the instructor’s signature) and to use a calculator during examination.

Expectations from students:

The student’s responsibility is to come to each class prepared. She is also expected to take all examinations on the date scheduled. She is expected to attend each class and participate actively in the discussions.

ACADEMIC DISHONESTY:

All students are expected to be academically honest. Cheating, lying and other forms of immoral and unethical behavior will not be tolerated. Any student found guilty of cheating in examinations or plagiarism in submitted course requirements will (at a minimum) receive an F or failure in the course requirement or in the course. Plagiarism and cheating refer to the use of unauthorized books, notes or otherwise securing help in a test; copying tests, assignments, reports or term papers; representing the work of another person as one’s own; collaborating without authority, with another student during an examination or in preparing academic work;

signing another student’s name on an attendance sheet; or otherwise practicing scholastic dishonesty.

POLICY on ABSENCES:

The allowed number of absences for teacher educationstudents enrolled in a 1 hour class is a maximum of 10 absences and 7 absences for a 1-1/2 hour class - based on student handbook. Request for excused absences or waiver of absences must be presented upon reporting back to class. Special examinations will be allowed only in special cases, such as prolonged illness. It is the responsibility of the student to monitor her own tardy incidents and absences that might be accumulated leading to a grade of “FA.” It is also her responsibility to consult with the teacher, chair or dean should her case be of special nature.

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GRADING SYSTEM:

CSP- Class Standing in the Prelim Period Transmutation Table For the Average*

CSM- Class Standing in the Midterm Period Average Point-Grade Equivalent

CSF- Class Standing in the Final Period 97-100 1.00

P - Prelim Exam 94-96 1.25

M - Midterm Exam 91-93 1.50

F - Final Exam 88-90 1.75

85-87 2.00

Midterm Average= 70%( Class Standing)+ 30%(Major Exam. Ave.) 82-84 2.25 Class Standing=

2 CSM CSP 

79-81 2.50

Major Exam Ave.=

2 M P 

76-78 2.75

Final Average= 70%(Class Standing) +30% (Major Exam. Ave.) 75 3.00 Class Standing=

3 CSF CSM

CSP  

BELOW 75 5.00

Major Exam Ave.=

3 F M P  

*Manual input for the computerized class record program Note: Raw scores will be transmuted using the department’s transmutation table.

Passing is 60% for Major Subject

Reference Books:

Intermediate Algebra Instructor’s Edition by K. Elayn Martin-Gay Algebra II by Edward Kohn, M.S, 1^st Edition

Advanced Algebra 2^nd Edition Sharon L. Senk et.al Intermediate Algebra 9^th Edition by Charles P. McKeague Advanced Algebra Philippine Edition by Allan Bellman et.al

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Online Links:

www.mathworld.wolfram.com (related to sums) www.purplemath.com (related to variation)

CONSULTATION HOURS:

Days Time Room

MWF 9:00AM – 3:30PM SJH Consultation Room

TTH 10:10 – 11:40AM/2:30 – 6:00PM SJH Consultation Room

//mcasicat2016