SYLLABUS

MATHEMATICS 1
COURSE SYLLABUS

SY 2011-2012


I. COURSE DESCRIPTION:
Elementary Algebra is designed to provide students with the mathematical foundation and personal confidence to enable them to use mathematics in their future life. This course is designed to develop the skills and understanding contained in the first year of secondary school algebra. Topics include review of operations on real numbers, graphing linear equations, solving linear and quadratic equations, solving systems of linear equations, polynomials, factoring and applications.

II. CREDIT UNITS 1.5 UNITS

III. TIME DURATION 45 HOURS

IV. OBJECTIVES:

Course Outcome Objectives:
A. Use instruments to measure length, weight, volume, temperature, time, angle
B. Use the properties of real numbers and variables.
C. Solve first-degree equations and inequalities including those that arise from concrete
applications.
D. Perform operations with polynomials.
E. Use the Cartesian coordinate system.
F. Solve systems of two linear equations and inequalities in two variables.
G. Solve factorable quadratic equations and their applications.
H. Perform basic operations on rational expressions and solve rational equations.

III. COURSE OUTLINE:

Chapter I Measurement
1.1 The History of Measurement
1.2 Measures and Measuring Devices
1.2.1 Measure of Length
1.2.2 Measure of Area
1.2.3 Measure of Volume and Capacity
1.2.4 Measure of Mass
1.2.5 Measure of Temperature
1.2.6 Measure of Time
1.2.7 Measure of An Angle
1.3 Measurement Involving Ratios
1.4 Rounding Numbers
1.5 Problems on Measurement

Chapter 2 The Real Number System
2.1 The Set of Real Numbers
2.1.1 Operations on Whole Numbers (A Recall)
2.1.2 The Concept of Opposites
2.1.3 Fundamental Operations on Integers
2.1.3a Addition of Integers
2.1.3b Subtraction of Integers
2.1.3c Multiplication of Integers
2.1.3d Division of Integers
2.1.4 Absolute Value of an Integer
2.1.5 Simplifying Expressions Involving Absolute Value
2.1.6 Fundamental Operations on Integers
2.1.7 Rational Numbers
2.1.7a Changing Fractions to Decimals
2.1.7b Changing Decimals to Fractions
2.1.8 Rational Numbers on the Number Line
2.1.9 Operations with Fractions
2.1.9a Addition and Subtraction of Fractions
2.1.9b Multiplication and Division of Fractions
2.1.10 Operations on Decimals
2.1.10a Addition and Subtraction of Decimals
2.1.10b Multiplication of Decimals
2.1.11 Properties of Real Numbers
2.2 Square Roots
2.2.1 Approximating the Square Root of a Number
2.2.2 Computing with Square Roots
Chapter 3 Algebraic Expressions
3.1 Constants, Variables and Algebraic Expressions
3.2 Translation of Verbal Phrases into Mathematical Phrases and Vice Versa
3.3 Evaluation of Algebraic Expressions
3.4 Operations on Monomials
3.4.1 Addition of Monomials
3.4.2 Subtraction of Monomials
3.4.3 Multiplication of Monomials
3.4.4 Division of Monomials
3.5 Scientific Notation
3.6 Polynomials
3.6.1 Addition of Polynomials
3.6.2 Subtraction of Polynomials
3.6.3 Multiplication of a Polynomial by a Monomial
3.6.4 Multiplication of a Polynomial by Another Polynomial
3.6.5 Division of a Polynomial by a Monomial
3.6.6 Division of a Polynomial by a Polynomial
3.7 Problems Involving Polynomials

Chapter 4 Linear Equations and Inequalities in One Variable
4.1 Linear Equations and Inequalities in One Variable
4.1.1 Solution Set of a Linear Equation or Inequality
4.1.2 Solution Set of Simple Equations and Inequalities in One Variable by
Inspection
4.2 Properties of Equality and Inequality
4.3 Solving Linear Equations in One Variable
4.4 Solving Linear Inequalities in One Variable
4.4.1 Graphing Inequalities on a Number Line
4.4.2 Applying the Properties of Inequality
4.5 Solving Word Problems Involving Linear Equations
4.6 Solving Word Problems Involving Linear Inequalities
Chapter 5 Linear Equations in Two Variables
5.1 The Cartesian Coordinate Plane
5.2 Points in the Cartesian Coordinate Plane
5.2.1 The Coordinates of a Point
5.2.2 Plotting of Points
5.3 Linear Equations in Two Variables and Its Graph
5.4 Writing the Linear Equations Ax+By=C in the Form y=mx+b, and vice versa
5.5 Properties of the Graph of a Linear Equation Ax+By=C
5.5.1 The Intercepts
5.5.2 The Slope of a Line
5.6 Obtaining the Equation of a Line
5.7 Problems Involving Linear Equations
5.8 Systems of Linear Equation
5.9 Equations Involving Absolute Value
5.9.1 Graphs of Equations Involving Absolute Value
Chapter 6 Special Products and Factoring
6.1 Special Products
6.2 Factoring
6.2.1 Factors and Primes
6.2.2 Factoring by the Common Monomial Factor
6.2.3 Factoring Quadratic Trinomials
6.2.4 Factoring the Difference of Two Squares
6.2.5 Factoring the Sum and Difference of Two Cubes
6.2.6 Factoring by Grouping

III. STRATEGIES & EVALUATION
Strategies:
  1. 1. Lectures and discussions
  2. 2. Cooperative group work and discussion
  3. 3. Written and oral individual or group activity
  4. 4. Participation in class discussion forums.
  5. 5. Written assignments related to course content.
  6. 6. Online quizzes.
  7. 7. Written exams, to be completed independently and submitted electronically or by mail.
  8. 8
  9. 9.
Evaluation:
Computation for Final Grade:
Quizzes – 15%
Unit Test – 15%
Periodic Examination – 15%
Project - 25%
Performance/Participation – 15%
100%
IV. References:
Oronce, Orlando A. & Mendoza, Marilyn O. Exploring Mathematics I Worktext in Mathematics for Secondary Schools.
Leon, Cecile de M., Bernabe, Julieta G, Elemetary Algebra Textbook for First Year.