SISC/QSF-OCD-007REV.005 6/5/14

SOUTHVILLE INTERNATIONAL SCHOOL AND COLLEGES1281 Tropical Avenue corner Luxembourg Street,

BF International, Las Piñas CityCOLLEGE DIVISION

COLLEGE SYLLABUS1st Semester, SY 2014 – 2015

Course Code: G – Math 1 Course Title: COLLEGE ALGEBRA

Number of Units: 3 Prerequisite Course: Faculty: Robert F Norberte, Armando C. Mendoza Jr., Riza Lastimosa

I. COURSE DESCRIPTIONMath 1 is designed to provide the college student with a working knowledge of college-level algebra and its applications in different fields such as business and entrepreneurship, computer science, banking, physics, chemistry, and sociology, among other disciplines. Emphasis is placed upon the solution and the application of linear and quadratic equations, word problems, polynomials. Students perform operations on real numbers and polynomials and simplify algebraic and rational expressions. Students learn to graph linear functions using different conditions. Other topics include solving linear systems and linear inequalities and their applications. To cater to nursing students, topics such as measurements, dosage, and administration of drugs and preparation of solutions are added.

II. GENERAL EDUCATION PROGRAM LEARNING OUTCOMES AND TARGETSStudents who have taken the Gen Ed courses are expected to be individuals who posses knowledge, skills attitudes and values associated with college –educated citizens; who demonstrate knowledge of the diversity of academic disciplines enabling them to seek creative solutions to problems through continuous learning, technically literate, who understand and apply the values of critical thinking, strong communications skills , cultural awareness , acting ethically at all times personally and professionally. As such, they:1. Demonstrate effective communication (Filipino and English) in clear and correct styles, both orally and in writing, appropriate to the subject, purpose, occasion and

audience; and listen effectively to enhance critical thinking, problem solving and collaborative abilities. 2. Manifest the ability to apply higher order analytic and creative cognitive processes to arrive at reasoned and supportable conclusions; synthesize and apply

knowledge within and across courses and disciplines to develop creative solutions to problems. 3. Demonstrate the ability to use computer technology and appropriate software applications to produce documentation, quantitative data presentations, and functional graphical presentations appropriate to various academic and professional settings. 4. Exhibit an appreciation and awareness of other cultures and times, an appreciation of literature and the arts, and a perception and discernment of a level of skill and ability in the craft of creating and the cultural impact of the creative process and media. 5. Undergo a continuous development of the skills and awareness necessary to live as responsible, ethical, and contributing citizens of the community, state, nation,

and world and the interpersonal skills required for effective performance in group interactions and collaborative practice

SISC/QSF-OCD-007REV.005 6/5/14

SOUTHVILLE INTERNATIONAL SCHOOL AND COLLEGES1281 Tropical Avenue corner Luxembourg Street,

BF International, Las Piñas CityCOLLEGE DIVISION

6. Demonstrate scientific literacy through the process of scientific reasoning and applying scientific principles inside and outside the laboratory or field setting7. Develop quantitative skills and abilities; applying the basic mathematical tools to the solution of real world problems and the ability to use the concepts to develop

arguments, draw inferences , interpret and use them in other disciplines8. Apply study and critical thinking skills to deal with academic concerns and problems across disciplines recognizing that skills learned in one area can be applied in

another area.

III. TEACHING – LEARNING GOALS At the end of the semester, students are expected to:

Course Goals Learning Outcomes

Mission Deployment (Specified 5Cs, Positive Learning Environment, Empirical

Research Orientation, Innovative and Relevant Curriculum and Instruction, Updated Technological Applications)

A1. Describe the real numbers as the set of all decimal numbers.

2. Use properties of operations to represent and solve problems involving real numbers.

3. Represent and interprets simple exponential expressions using symbolic form.

4. Extend their understanding of functions from linear settings to include polynomial functions, operations on these functions, and the solution of polynomial equations.

A1. Create links between their own language and ideas, and the formal language and symbols of mathematics.

2. Use a variety of forms of communication while learning mathematics.

3. Communicate their learning using mathematical terminology.

4. Explore and create patterns, examine relationships, test conjectures and solve problems using technology.

Competence

Demonstrate an acceptable level of proficiency in Math

Produce more results with less resources

Have an accurate perception of one’s personal strength, weakness, limitations and

habits of the mind and how these either shape or impede one’s growth, performance

and output

SISC/QSF-OCD-007REV.005 6/5/14

SOUTHVILLE INTERNATIONAL SCHOOL AND COLLEGES1281 Tropical Avenue corner Luxembourg Street,

BF International, Las Piñas CityCOLLEGE DIVISION

Course Goals Learning Outcomes

Mission Deployment (Specified 5Cs, Positive Learning Environment, Empirical

Research Orientation, Innovative and Relevant Curriculum and Instruction, Updated Technological Applications)

B1. Represent linear patterns using expressions, equations, functions, and inequalities and interpret the meanings of these representations, recognizing which are equivalent and which are not.

2. Create and solve linear equations using tabular and graphical displays, verbal representations of problems, and symbolic manipulation.

B1. Use estimation in mathematical judgements and in developing useful, efficient strategies for dealing with situations in daily life.

2. Reach new conclusions by building upon what is already known or assumed to be true.

3. Use the language of mathematics to express mathematical ideas precisely.

Character

Adhering to principles and standards in one’s day-to-day life and in the practice of

one’s profession

Demonstrate honesty, transparency and responsibility in dealing with people and

institutions

Being open to learningC1. Construct, solve, and interpret solutions of linear equations, linear inequalities, and systems of linear equations representing mathematical and real- world contexts.

2. Interpret inequalities involving one variable.

3. Construct, solve, and interpret solutions to systems of linear inequalities in two variables.

4. Model and solve systems of equations and inequalities with or without technology.

C1. Use prior learnings in new ways and contexts through problem solving.

2. Use multiple, creative and innovative solutions in solving problems.

3. Look openly for, and engage in, finding a variety of strategies for solving problems.

4. Explore and record results, analyze observations, make and Test generalizations from patterns.

Commitment to Achieve

Stay at a task until its completion

Persist until goals are successfully attained

Setting specific and realistic goals

Translating ideas into practical and concrete applications

Producing outputs that meet the standards of quality, accuracy and timeliness

SISC/QSF-OCD-007REV.005 6/5/14

SOUTHVILLE INTERNATIONAL SCHOOL AND COLLEGES1281 Tropical Avenue corner Luxembourg Street,

BF International, Las Piñas CityCOLLEGE DIVISION

Course Goals Learning Outcomes

Mission Deployment (Specified 5Cs, Positive Learning Environment, Empirical

Research Orientation, Innovative and Relevant Curriculum and Instruction, Updated Technological Applications)

D1. Represent, investigate, and solve problems in mathematics and real-world contexts involving nonlinear functions.

D1. Share ideas and insights among group members.

2. Communicate effectively among group members to achieve a certain goal.

3. Select, apply and translate among mathematical representations to solve problems.

Collaboration

Modeling discipline, quality and excellenceAssuming command responsibility by overseeing tasks and coaching people

Influencing others towards the implementation of worthwhile undertakings

E1. Identify and classify certain nonlinear relationships.

2. Represent simple mathematical and real-world phenomena using quadratic functions and solve equations involving these functions with a variety of techniques.

E1. Make connections among concrete, pictorial, symbolic, oral, written and mental representations of mathematical ideas.

2. Make mathematics as useful, relevant and integrated by using mathematical ideas that are connected to each other or to real- world phenomena.

3. Recreate different aspects of the visual-spatial world using pictures and images

Creativity

Employing new approaches of solving problems by bringing in perspectives from

other disciplines

Developing an inquisitive mind

SISC/QSF-OCD-007REV.005 6/5/14

SOUTHVILLE INTERNATIONAL SCHOOL AND COLLEGES1281 Tropical Avenue corner Luxembourg Street,

BF International, Las Piñas CityCOLLEGE DIVISION

IV. TEACHING-LEARNING OUTCOMES

WeekCourseGoals

LearningOutcomes

Intended Learning Objectives ContentOB Teaching –

Learning Activities (OBTLA)

Assessment(Expected Outputs) Remarks/Date

1

A1

A2

A2

A2

A2, A4

A3

A3

A1

1. Familiarize oneself with the requirements and intended outputs by the end of the semester.

2. Classify sets. (subsets, joint, disjoint)

3. Determine the union, intersection, and cross product of two or more sets.

4. Find the complement of a set.

5. Use Venn diagrams to solve problems.

Orientation

Sets

Lecture – Discussion

Practice & Drills

Worksheet 1p8 #s 29 – 38;

#s 71 – 82(all even numbers)

2 A1

A2

A3

A4

1. Describe the real numbers as the set of all possible decimal numbers, and recognizes that representations of π, √2 , and other irrational numbers are nonterminating, nonrepeating decimals.

2. Apply properties of real-number of operations(associative, commutative, identity, inverse, distributive, closure)

Real Numbers

Properties of Real Numbers

Lecture – Discussion

Practice & Drills

Worksheet 2p18 #s 45 – 66

all even numbersp46 #s 18, 20, 22,

28, 30, 32, 38, 40, 44, 54, 56, 64

SISC/QSF-OCD-007REV.005 6/5/14

SOUTHVILLE INTERNATIONAL SCHOOL AND COLLEGES1281 Tropical Avenue corner Luxembourg Street,

BF International, Las Piñas CityCOLLEGE DIVISION

WeekCourseGoals

LearningOutcomes

Intended Learning Objectives ContentOB Teaching –

Learning Activities (OBTLA)

Assessment(Expected Outputs) Remarks/Date

3 B1

B1

B2

B2

B3

B3

B3

B1

1. Identify the constant and variable terms in equations.

2. Apply properties of equality.

3. Solve a linear equation using symbolic methods, graphs, tables, with and without technology.

4. Analyze and explains reasoning used to solve linear equations.

Linear Equations Lecture – Discussion

Practice & Drills

Summative Assessment

Quiz 1(Scope: Topics on

Weeks 1 & 2)

Worksheet 3p76 #s 28, 34, 46, 50,

58p85 #s 16, 18, 28, 34

4 C1 C1 1. Construct a linear equation to model a real-world situation, using a variety of methods and representations to solve problems involving linear patterns.

Linear Applications(Number, Geometry,

Investment/Commission, Mixture,

Motion)

Lecture – Discussion

Practice & Drills(Pair Work)

Problem Solving

Worksheet 4p86 #s 74, 76p96 #s 24, 30p97 #s 44, 48

p98 #s 52, 56, 62p99 # 66

5 B1, B2 C4 1. Represent linear patterns using tables, graphs, verbal rules, symbolic expressions, and functions of the form y = mx + b.

2. Write, interpret, and translate among equivalent forms of linear equations and functions including slope-intercept, point-slope, intercept, and general forms.

Graphs of Linear Equations

Linear Functions

Lecture – Discussion

Practice & Drills

Summative Assessment

Quiz 2(Scope: Topics on

Weeks 3 & 4)Worksheet 5

p154 #s 28, 32, 42p155 #s 48, 50p177 # 14, 16p178 # 20, 22

p179 #s 56, 58, 68,72p180 #s 76, 78

SISC/QSF-OCD-007REV.005 6/5/14

SOUTHVILLE INTERNATIONAL SCHOOL AND COLLEGES1281 Tropical Avenue corner Luxembourg Street,

BF International, Las Piñas CityCOLLEGE DIVISION

WeekCourseGoals

LearningOutcomes

Intended Learning Objectives ContentOB Teaching –

Learning Activities (OBTLA)

Assessment(Expected Outputs) Remarks/Date

6 PRELIM EXAM7 C1

C1, C3

C4

C1

1. Identify the constant and variable terms in systems of equations.

2. Solve a system consisting of two linear equations in two unknowns, using graphs, tables, symbolic methods, and technology.

Systems of Linear Equations

Lecture – Discussion

Practice & Drills

Worksheet 6p233 #s 10, 18

p234 #s 36, 38, 42p245 #s 16, 18p272 #s 20, 22

8 C1

C1

C2

C1

C2

C1

C1, C2

C2, C3

C4

C3, C4

1. Identify the constant and variable terms in inequalities.

2. Represent solutions to inequalities a) x > a b) x<a c) x a d) x a e) a x b f) a < x b g) a x < b

3. Write an inequality to represent an interval or ray, with or without endpoints, shown on the number line.

4. Apply properties of inequality.

5. Solve linear inequalities algebraically.

Linear Inequalities Lecture – Discussion

Practice & Drills

Worksheet 7p112 #s 44, 46, 48,

50, 54, 58p123 # 50, 52

SISC/QSF-OCD-007REV.005 6/5/14

SOUTHVILLE INTERNATIONAL SCHOOL AND COLLEGES1281 Tropical Avenue corner Luxembourg Street,

BF International, Las Piñas CityCOLLEGE DIVISION

WeekCourseGoals

LearningOutcomes

Intended Learning Objectives ContentOB Teaching –

Learning Activities (OBTLA)

Assessment(Expected Outputs) Remarks/Date

9 C2

C2

C2

C3, C4

1. Construct a linear inequality to model a real-world situation, using a variety of methods and representations.

2. Analyze and explain in reasoning used to solve problems on linear inequalities.

Application of Linear Inequalities

Lecture – Discussion

Practice & Drills

Problem Solving

Summative Assessment

Quiz 1(Scope: Topics on

Weeks 7 & 8)

Worksheet 8p113 #s 80, 82, 84,

86, 88, 90p124 #s 89, 92

10 C1, C2

C3

C1, C2

C3, C4

1. Construct a system of linear inequalities in two variables to represent a mathematical or real-world setting.

2. Analyze and explain the reasoning used to solve problems on systems of linear inequalities.

System of Linear Inequalities

Lecture – Discussion

Practice & Drills

Worksheet 9p194 #s 12, 14, 16,

18p195 #s 50, 52

11 A3

A3

A3

A1, A2

A2

A3, A4

1. Find integer powers of rational numbers.

2. Evaluates the meaning of integer powers of variables in expressions.

3. Applies the basic laws of exponents.

Exponents Lecture – Discussion

Practice & Drills

Summative Assessment

Quiz 2(Scope: Topics on

Week 9 & 10)

Worksheet 10p302 #s 20, 22, 26,

28, 34, 36p303 #s 42, 50

p312 #s 8, 16, 20, 22, 34, 38

12 MIDTERM EXAM

SISC/QSF-OCD-007REV.005 6/5/14

SOUTHVILLE INTERNATIONAL SCHOOL AND COLLEGES1281 Tropical Avenue corner Luxembourg Street,

BF International, Las Piñas CityCOLLEGE DIVISION

WeekCourseGoals

LearningOutcomes

Intended Learning Objectives ContentOB Teaching –

Learning Activities (OBTLA)

Assessment(Expected Outputs) Remarks/Date

13 A4 A2 1. Add, subtract, and multiply polynomial expressions to solve problems.

Polynomials Lecture – Discussion

Practice & Drills

Worksheet 11p320 #s 34, 36, 42p321 #s 44, 50, 54,

66, 70p329 #s 14, 16, 22,

24, 28, 30, 32, 36, 40, 44

14 A4 A3, A4 1. Divide polynomials using synthetic division.

Polynomials Lecture – Discussion

Practice & Drills

Worksheet 12p422 #s 8, 12, 14, 28,

32, 3815 A4 A4 1. Factor quadratic expressions

a) Greatest Common Factor b) Difference of Two Squares c) Sum & Difference of two cubes d) Quadratics of the form

x2 + bx + c ax2 + bx + c

e) Grouping over the integers.

Factoring Lecture – Discussion

Cooperative Learning

Summative Assessment

Quiz 1(Scope: Topics on

Week 13 & 14)

Worksheet 13p339 #48, 50, 52, 56,

58, 60, 62, 64p348 #s 6, 8, 14, 20,

22, 30, 32p357 #s 120, 124,

134, 140 16 D1

D1

D1, D2

D3, D4

1. Reduce rational expressions to lowest terms.

2. Add, subtract, multiply, or divide rational expressions.

Rational Expressions

Lecture – Discussion

Practice & Drills

Peer Partner Learning

Worksheet 14p394 #s 18, 20, 26,

34, 36p404 #s 8, 12, 40, 44,

48, 54, 58

SISC/QSF-OCD-007REV.005 6/5/14

SOUTHVILLE INTERNATIONAL SCHOOL AND COLLEGES1281 Tropical Avenue corner Luxembourg Street,

BF International, Las Piñas CityCOLLEGE DIVISION

Week Intended Learning Objectives Content OB Teaching – Learning Activities

(OBTLA)

Assessment(Expected Outputs)

Remarks/Date

17 E1, E2 E1, E2, E3 1. Solve quadratic equations with real coefficients using

a) factoring b) completing the square c) quadratic formula

Quadratic Equations

Lecture – Discussion

Practice & Drills

Summative Assessment

Quiz 2(Scope: Topics on Weeks 15 & 16)

Worksheet 15

p530 #s 12, 14, 42, 44, 46, 50

p540 #s 8, 10, 16, 1818 FINAL EXAM

V. COURSE REQUIREMENTS Quizzes/Long Tests Worksheets Major Exams

VI. GRADING SYSTEMClass Standing 60% Long Tests/Worksheets Major Exam 40%

100%

Final Grade = Prelim + Midterm + Final 3

SISC/QSF-OCD-007REV.005 6/5/14

SOUTHVILLE INTERNATIONAL SCHOOL AND COLLEGES1281 Tropical Avenue corner Luxembourg Street,

BF International, Las Piñas CityCOLLEGE DIVISION

VII. REFERENCES Books:

Dugopolski, M., (2013). Algebra for college students, 6th ed. New York: McGrawHill Companies, Inc.

Gabuyo & Laddaran (2011). College algebra with applications. Manila: Rex Book Store.

Lial, Margaret (2012). Algebra for College Students. Boston: Addison Wesley. Stewart, Redlin & Watson (2012). Algebra & trigonometry. Singapore: Cengage Learning Asia Pte Ltd.

Tamalayan, Cecil (2012). College algebra. Manila : Grandbooks Pub. Inc.

E-books/Websites: Steege, R. and Bailey, K. (n.d.). Intermediate algebra: based on schaum's outline of theory and problems of intermediate algebra by questia - The Online Library of Books

and Journals. Retrieved June 1, 2012, from http://www.questia.com/read/116547892?title= Intermediate%20Algebra:%20%20B

Stitz, Carl, and Jeff Zeager. College algebra. 3rd ed. United States: [lulu.com], 2011. Retrieved June 1, 2012, from http://cnx.org/content/col10614/latest/

Wallace C. Boyden (n.d.) A first book in algebra by project gutenberg..Project Gutenberg - free books. Retrieved May 29, 2012, from http://www.gutenberg.org/ebooks/1330

Journals: Burns, M. and Silbey, R. (April 2001). Math journals boost real learning. Instructor (1990). p.18. Retrieved Nov. 8, 2011 from

http://infotrac.galegroup.com/itweb/gvrlasia48?id=phsisc

Morice, David (May 2003). Castaway numbers. Word Ways. 36.2, p.101. Retrieved Nov. 8, 2011 from http://infotrac.galegroup.com/itweb/gvrlasia48?id=phsisc

Ureta, Jay V. (2010). Tips on how to conquer math anxiety in our pupils. The Modern Teacher. Vol. LIX, No. 4, p. 156.

SISC/QSF-OCD-007REV.005 6/5/14

SOUTHVILLE INTERNATIONAL SCHOOL AND COLLEGES1281 Tropical Avenue corner Luxembourg Street,

BF International, Las Piñas CityCOLLEGE DIVISION

Prepared by: Reviewed by: Approved by:

_______________________ ______________________ ________________________ ________________________Mr. Armando C. Mendoza Jr. Ms. Riza Lastimosa Dr. Gina Caneo Ms. Marjorie G. Tangog

Dean, CAS Vice President for Academics & Research

_______________________ Mr. Robert F. Norberte

(Instructors)