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New Era University
No. 9 Central Avenue, New Era, Quezon City
COURSE CODE
COURSE TITLE
COURSE CREDIT
Prerequisites
Course Description
:
:
:
:
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MATH 2
Statistics with Demography
3 units
none for the colleges except for the College of Education which is Basic Math
A course in Algebra which focuses on topics such as introductory set theory, real number, algebraic expressions,
relations and function system, rational exponents, quadratic equations systems of linear equations, geometric
progressions, harmonic progression, sequence and variations, correlation and others.
General Objective
:
This course aims to equip the students with knowledge and skills in solving problems related to set theory, real number
system, algebraic equations, relations and functions, systems and related topics in algebra to prepare the students for
higher mathematics courses.
Specific Objectives
:
1. Strengthen previously learned mathematical activities and relate to algebraic solution of problems.
2. Develop higher intellectual level in preparation for higher math course.
3. Understand current mathematical processes.
4. Recognize different techniques to strengthen mastery skills in working with numbers and symbols.
5. Cultivate research-oriented attitude among the students
6. Recognize the basic concepts in set theory, real number system and polynomials
7. Perform operations on numbers and understand special products.
8. Familiarize the student with special products and rational and factoring expressions.
9. Solve problems on system of linear equations, quadratic sequences and variations
10. Perform operations on rational expressions and exponents.
11. Imbue the values of perseverance, self reliance, honesty, resourcefulness, self-independence and self-discipline.
12. Infuse the value identified as on trait of the month.
COURSE REQUIREMENT
:
1. Class Attendance
2. Class Standing
COURSE OBJECTIVE
2.1. Quizzes and Periodic Tests
2.2. Active participation in class activities
2.3. Assignments
2.4. Final Projects / Reports (if necessary)
3. major Examinations: Midterm and Finals
GRADING SYSTEM
STANDING COMPONENTS
:
Class Standing x 2 + Periodic Exam = Midterm Grade or Final Term Grade
3
:
Midterm Grade + Final Term Grade = Final Grade
2
:
Quizzes
Recitation
Assignments
Research/Projects
SW/Presentation
-
30%
20%
10%
20%
20%
100%
COURSE OUTLINE
Time Frame
Topics: Modules/Reading
Week 1
Orientation
1 ½ hrs.
Week 1
1 ½ hrs.
Basic concepts in set theory
Learning Outcomes
Familiarize
students
about
the
university’s
mission,
vision,
and
objectives, and philosophy of education
and the college’s objectives and the
SCSD.
Internalize the definition of algebra, set Lecture
the theory and its basic concepts
Discussion
Activities
Evaluations
Quiz
Seatwork
Week 2
1 ½ hrs.
1. The real number line.
2. Properties of real number
Week 3
1 ½ hrs.
Week 4
1 ½ hrs.
1. Field axioms
2. Certain properties of real
numbers
3. Operation on real numbers
4. Exponents and roots
5. Order of operations
1. Properties of Exponents
2.Terminology and Evaluation
Week 5-6
1 ½ hrs.
1. Special Products
2. Factoring
http://www.Purplemath.com/modules/ind Recitation
ex.htm
www.spartanburg2,k12.sc.us/links/alge
bra.htm
http://www.algebra.com/algebra
http:///www.ams.org/mathweb
Homework
1. Illustrate the coordinate of a point on
number line.
2. Graph and add integers on a number
line.
3. State the properties for real number
line.
1. Demonstrate the field axioms.
2. Show examples and roots and other
operations.
Quiz
Seatwork
Lecture
Class discussion
Recitations
http://www.algebra.com
www.edtech.com/algebra
Lectures
Board work
Quiz
Project Researches
www.math.psu
http:///www.algebra.com
1. Discuss the properties of exponents.
Lectures
2. Solve problem on polynomial by Board work Quiz
looking pattern.
Group work
3. Add, subtract, multiply and divide Project research
polynomials.
http://www.sosmath.com/algebra.html
4. Simplify expressions containing
negative and positive exponents.
1. Enumerate different types of special Lectures
products.
Board work
2. Use pattern for different special http://www.mathforum.org/algebra/k1
products.
2.
3. show applications of special product algebra.html
and factoring on daily life.
http://www.mathword.com
Quiz
Homework
Quiz
Project Tests
Chapter Tests
Seatwork
Homework
Week 7-8
1 ½ hrs.
1. Rational Expressions
2.The
domain
of
rational
expressions
3. Principle of multiply by 1
4. fundamental principle of
rational expressions
5. Writing in lowest terms
6. Multiplication and Division of
rational expressions
8. Compounds fractions
Week 9-10 1. Rational exponents
1 ½ hrs.
2. Evaluating of exponents of the
form a
3. Evaluating exponents of the
Form a with m and n primes to
each other
4. Applying exponents rules to
rational exponents.
5. Product rule for radicals
6. Simplify radicals involving
variables
8. Simplifying radicals using
smaller indexes
9. Multiplying radicals with
different indexes
10. Addition and Subtraction of
radical expression
11. Multiplication and Division of
Radical expressions
12.
Multiplying
binomials
1. Define Rational expression.
2. Simplify rational expressions.
3. Add, subtract, multiply and divide
rational expressions.
4. Divide polynomials by monomials/
binomials.
5. Solve problems by making an
organized list of possibilities.
6. Understand the domain of rational
expression.
1. define rational exponents.
2. Evaluate exponents of different forms.
3. Apply exponents of different forms.
4. demonstrate how to convert radicals
and Rational exponents.
5. Simplify radicals involving numbers
and variables.
Lectures
Seatwork
Board work
Homework
www.cut-the-knot.com/algebra.html
http://acheive.math.utk.edu/topics/alge
bra.html
Lectures
Recitations
Group work
www.mathleague.com/help/algebra/al
gebrahttp://www.math.psu.edu
Quiz
Seat work
Project Tests
involving radical expression
13. Rationalizing denominator
with square roots
14.
General
procedure
for
rationalizing the denominator
Week 11
MIDTERM
Week 12- 1. Linear equation
13 1 ½ hrs. 2. Terminology
3. The multiplication and division
property of equality
4. Basic steps to solving linear
equation
5. Transposing literal equations
and formulas of some literal
equation
6. Verbal problems
Week 14- 1. Quadratic Equations
15
2. Solving Quadratic equations by
1 ½ hrs.
factoring
3. Extraction of roots and the
discriminated complex numbers
4. Complex Numbers
5. Nature of the solution
6. Equations that lead to quadratic
form
7. Equations with radicals
Week 16
1 ½ hrs.
1. The
system
rectangular
EXAM
1. Define and illustrate examples of linear
equation.
2. Graph linear equations using x and y
intercepts.
3. Show the four basics steps in solving
problem including verbal problems.
Board work
Group work
Discussions
www.math.com
www.algebras.com
www.hotmath.com
Quiz
Seatwork
1. Find the equation of the axis of
symmetry and the coordinates of the
vertex of the graph of a quadratic
function.
2. Use quadratic formula and completing
square in solving quadratic equations.
3. Understand the nature of the solution of
quadratic equations.
4. demonstrate quadratic equation given
the roots or radicals.
Recitations
Lecture Quiz
http://www.algebra.com
www.sosmath.com/algebra/algebra.ht
ml
www.hotmath.com
Quiz
Homework
coordinate 1. Define and illustrate
coordinate system.
rectangular Lecture
Discussions
Seatwork
Homework
Week 17
1 ½ hrs.
2. Preparing a table values
3. Genera form of a linear
equations
4. System of linear equations in
two variables
5. System of linear equation in
three variables
5. Applications of system of linear
equations
7. Determinants
8. Cramer’s rule 3x3 system
1. sequences
2. Summation Notation
3. Arithmetic progression
4. Geometric progression
5. Infinite Geometric progression
6. Harmonic progression
7. Variation
8. Direct Variation
9. Solving
a joint variation
problem
10. Note on partial fraction
**Case 1; factors of denomination
and linear distinct
**Case 2; linear and repeated
**Case 3; quadratic surd and
repeated
11. Methods of finding partial
fraction
12. Heavy side method
13. Equation co-efficient
2. Identify solutions of a system of two Board works
linear equations in two variables.
http://www.algebra.com
3. Solve two linear equations in two www.sosmath.com/algebra/algebra.ht
variables by graphing addition, and ml
substitution and elimination methods.
4. Use Cramer’s rule for 3x3 systems.
Presentation of
Analysis
1. Recognize and solve problem on
sequences, summation notation, arithmetic
progression, geometric and harmonic
progression.
2. Show techniques in reducing the
repeating and non-repeating and nonterminating decimal into fraction.
3. Demonstrate examples on progression.
4. Recognize, direct and joint variation.
5. Solve joint variation.
6. Demonstrate the ability of finding
partial fraction by different methods.
7. Transform equation and solve
successive divisions.
Quiz
Homework
Seatwork
Recitation
Discussion
Board work
www.math.niu.edu.com
www.library.thinkquest.org
http:///www.algebra.com
www.sosmath.com/algebra/algebra.ht
ml
14. Transformation of equation
15. The method of successive
synthetic division
Week 18
FINAL
EXAM
Reading from texts, references and IT-accessible material
REFERENCES
College Algebra by Calingasan, et.al
College Algebra by Bandoy et.al
College Algebra by Feliciano and Uy
College Algebra by Amaya et.al
College Algebra by Praxedez, Solina et.al
www.library.thinkquest.org
http://ww.algebra.com
www.sosmath.com/algebra.com/algebra.html
http://www.algebra.com/algebra
http://www.ams.org/mathweb
http://purplemath.com/modulus/modules.htm
http://www.algebra.com
www.edteach.com/algebra
http://www.algebra.com
http://www.sosmath.com/algebra/algebra.html
www.math.psuwww.spartanburg2.k12.sc.us/links/algebra.htmwww.algebras.com
www.hotmath.com
www.mathleague.com/help/algebra/algebra
http://wwmath.psu.edu
www.math.niu.edu.com
http://aechives.math.utk.edu/topics/algebra.html
www.cut-the-knot.com/algebra.html
http://www.mathworld.com
http://mathforum.org/algebra/k12.algebra.html
www.math.com