Philippine Science High School
Cagayan Valley Campus
CONTENT OUTLINE
Mathematics I (Grade 7)
Elementary Algebra
Credit: 1.7 units
Meetings per week: 5
Academic Year 2016-2017
FIRST QUARTER
I. SETS
A. Basic Notations and Definitions
B. Kinds of Sets
C. Set Relations
D. Operations on Sets
E. Venn Diagrams
F. Using Venn Diagrams in Solving
Word Problems
II. REAL NUMBER SYSTEMS
A. Set of Real Numbers
B. Real Number Line
C. Comparing and Ordering Numbers
D. Properties of Operations on Real
Numbers
E. Order of Operations on Real
Numbers
F. Applications of Real Numbers to
Real Life
G. Problem Solving Involving Real
Numbers
SECOND QUARTER
III. ALGEBRAIC EXPRESSIONS
A. Constants, Variables, Terms and
Algebraic Expressions
B. Numerical and Literal Coefficients
C. Simplifying and Evaluating Algebraic
Expressions
D. Translating Phrases to Algebraic
Expressions
IV. OPEN SENTENCES, REPLACEMENT SETS,
AND SOLUTION SETS
A. Expressions and Sentences
B. Translating Word Statements to
Open Sentences
C. Replacement Set and Solution Set
V. LINEAR EQUATIONS IN ONE VARIABLE
A. Properties of Equality
B. Kinds of Linear Equations in One
Variable
C. Solution Set of Linear Equation with
One Unknown
D. Problem Solving Involving Linear
Equations in One Variable
THIRD QUARTER
VI. LINEAR INEQUALITIES IN ONE VARIABLE
A. Properties of Linear Inequalities
B. Solution Sets of Linear Inequalities
in One Variable
C. Graphs of Solution Sets of Linear
Inequalities in One Variable
D. Problem Solving Involving Linear
Inequalities in One Variable
VII. ABSOLUTE VALUE EQUATIONS AND
INEQUALITIES IN ONE VARIABLE
A. Solution Set of Absolute Value
Linear Equations in One Variable
B. Solution Set of Absolute Value
Linear Inequalities in One Variable
C. Problem Solving Involving Absolute
Value Equations and Inequalities in
One Variable
VIII. POLYNOMIALS
A. Definition of Polynomials
B. Classification of Polynomials
C. Degree of Polynomials
D. Laws of Exponents
E. Simplifying and Evaluating
Polynomials
F. Operations Involving Polynomials
G. Problem Solving Involving
Operations on Polynomials
FOURTH QUARTER
IX. SPECIAL PRODUCTS AND FACTORING
A. Special Products
B. Factoring Polynomials
X. RATIONAL ALGEBRAIC EXPRESSIONS
AND EQUATIONS (R.A.E.)
A. Identifying Rational Expressions
B. Simplifying and Evaluating Rational
Expressions
C. Operations Involving Rational
Expressions
D. Mixed Expressions and Complex
Rational Expressions
E. Solving R.A.E. Leading to Linear
Equation in One Variable
F. Solving Literal Equations
G. Problem Solving Involving R.A.E.
Course Requirements:
– short quizzes (20%)
– long quizzes (30%)
– quarterly exams (30%)
– other requirements (20%)
– notebooks
– recitation
– portfolio
– assignments
– problem sets
– exercises
– journal
– project/s
References:
– Algebra 1 (by J. Fair & S. C. Bragg)
– other books, handouts
Prepared by:
RUSSEL OWEN B. VILORIA, SST-1
Faculty Rm A (Grnd Flr, Acad Bldg 1)