Palawan National School
City of Puerto Princesa
BUDGET OF WORK
MATHEMATICS I
Elementary Algebra
A. MEASUREMENT
1. Demonstrate knowledge and skills in measurement and the use of measuring devices,
conversion of units of measurement and solving real life problems.
1.1 Illustrate the development of measurement from the
primitive to the present system of units. June 1,2
1.2 Measure:
· Length June 3,4
· Weight June 5,8
· Volume June 9,10
· Temperature June 11,15
Independence Day June 12
· Time June 16,17
· Angle June 18,19
1.3 Express relationships between two
quantities using ratios June 22,23
1.4 Convert measurements from one unit to another June 24,25
1.5 Solve problems involving measurements June 26,29
CHAPTER TEST June 30
B. REAL NUMBER SYSTEM
1. Describe the real number system: Integers, Rational numbers, Irrational Numbers
and Real numbers.
1.1 The Set of Real Numbers July 1,2
1.2 Describe opposite quantities in real life. July 3,6
(Ordering and Arranging Integers)
1.3 Determine the absolute value of a number. July 7,8
1.4 Solve sample absolute value equations
using the number line. July 9,10
1.5 Perform fundamental operation on integers;
· Addition July 13,14
· Subtraction July 15,16
· Multiplication July 17,20
· Division July 21,22
1.6 Illustrate the different properties; commutative,
associative, distributive, identity and inverse July 23,24
1.7 Solve problems involving integers July 27,28
1.8 Perform operation on dissimilar fractions
and mixed forms
· Addition of Fraction July 29,30
· Subtraction of Fraction July 31, Aug. 3
· Multiplication of Fraction Aug. 4,5
· Division of Fraction Aug. 6
1.9 Perform operation on decimals
· Addition and Subtraction Aug. 7
· Multiplication Aug. 10
· Division Aug. 11
MASTERY TEST Aug. 12
FIRST PERIODICAL TEST Aug. 13,14
SECOND GRADING PERIOD
1.10 Solve problems involving fractions and decimals Aug. 17,18
2. Demonstrate knowledge and skills in solving square roots of positive rational numbers.
2.1 Define the square root of a rational number Aug. 19
2.2 Approximate the square root of a
positive rational number Aug. 20,21
2.3 Identify square roots which are rational
and which are not rational Aug. 24
2.4 If the square root of a number is not rational,
determine two integers or rational numbers
between which it lies. Aug. 25,26
2.5 Give examples of other irrational numbers Aug. 27
2.6 Use knowledge related to square roots in
problem-solving Aug. 28,31
CHAPTER TEST Sept. 1
C. ALGEBRAIC EXPRESSIONS
1. Demonstrate knowledge and skills related to simplifying and
performing operations on polynomials.
1.1 Define constant, variables and
algebraic expressions Sept. 2
1.2 Simplify numerical expressions involving
exponents and grouping symbols Sept. 3,4
1.3 Translate verbal phrases to mathematical
expressions and vice versa Sept. 7
1.4 Evaluate mathematical expressions for given
values of the variables involved Sept. 8,9
1.5 Simplify algebraic expressions using
the laws of exponents. Sept. 10,11
1.6 Express numbers in scientific notation. Sept. 14
1.7 Define polynomials and
Classify algebraic expressions as polynomials
And non-polynomials Sept. 15
1.8 Perform operations on polynomials
· Addition Sept. 16,17
· Subtraction Sept. 18,21
· multiplication: polynomial by a monomial Sept. 22,23
· multiplication: polynomial by another polynomial Sept. 24,25
· division: polynomial by a monomial Sept. 28,29
· division: polynomial by another polynomial Sept. 30
1.9 Solve problems involving polynomials Oct. 1
CHAPTER TEST Oct. 2
D. FIRST DEGREE EQUATIONS AND INEQUALITIES IN ONE VARIABLE
1. Demonstrate knowledge and skill in transforming and solving first
degree equation and inequalities in one variable.
1.1 Distinguish between equations and inequalities Oct. 5
1.2 Translate statements involving general or unknown
quantities to equations and Inequalities and vice versa Oct. 6
1.3 Determine the solution set of the first degree equations
and inequalities using;
* number line Oct. 7
* replacement set Oct. 8
* inspection Oct. 9
1.4 State the different properties of Equality Oct. 12
1.5 Illustrate the different properties of Inequality Oct. 13,14
1.6 Apply the properties of equality in finding the
solution set of the first degree equations
* addition Property of Equality Oct. 15,16
* Subtraction Property of Equality Oct. 19,20
MASTERY TEST Oct. 21
SECOND PERIODICAL TEST Oct. 22,23
SEMESTRAL BREAK Oct. 26-30
* Multiplication Property of Equality Nov. 2,3
* Division Property of Equality Nov. 4,5
1.7 Solving Other Types of First Degree Equation Nov. 6,9
1.8Apply the properties of inequality in finding the
solution set of the first degree inequalities.
* Solving First Degree Inequalities Using a
number Line Nov. 12,13
* for addition and subtraction Nov. 16,17
* for multiplication Nov. 18,19
* for division Nov. 20,23
1.9 Solve problems using first degree equations and
inequalities in one variables (e.g. Relations among numbers, geometry, business,
uniform motion and money problems).
* Relation among numbers Nov. 24,25
* Consecutive Numbers Nov. 26,27
* Distance Problems(Uniform Motion) Dec. 1,2
* Business Problems Dec. 3,4
* Age Problems Dec. 7,8
* Work Problems Dec. 9,10
E. LINEAR EQUATIONS IN TWO VARIABLES
1. Demonstrate knowledge and skill related to linear equations n two
variables and apply this in two variables and apply this in solving
real life problems.
1.1 Describe the Cartesian coordinates plane
(x-axis,y-axis,quadrant,origin) Dec. 11
1.2 Given a point on the coordinate plane,
give its coordinate Dec. 14
1.3 Given a pair of coordinates, plot the point Dec. 15
CHRISTMAS PROGRAM Dec. 16
STUDENTS CHRISTMAS PARTY Dec. 17
TEACHERS CHRISTMAS PARTY Dec. 18
1.4 Given the coordinates of a point, determine
the quadrant where it is located Jan. 4
1.5 Identify the linear equation in two variables:
Ax+By=C Jan. 5,6
1.6 Construct table of values for x and y,
given a linear equation in two variables, Ax+By=C. Jan. 7,8
1.7 Draw the graph of Ax+By=C based on table
of values for x and y Jan. 11,12
MASTERY TEST Jan. 13
THIRD PERIODICAL TEST Jan. 14,15
1.8 Define; x and y-intercept, slope, domain and range. Jan. 18
1.9 Determine the following properties of the
graph of a linear equation Ax+By=C.
· Slope Jan. 19
· Intercepts Jan. 20
· Domain Jan. 21
· Range Jan. 22
· Trend (Increasing or decreasing) Jan. 25
1.10 Given a linear equation Ax+By=C rewrite
in the form y=mx+b and vice versa. Jan. 26,27
1.11 Draw the graph of a linear equation in two
variables described by an equation using; Jan. 28,29
· The intercepts
· Any two points
· The slope and a given point
1.12 Obtain the equation of the Line given the following;
· slope-intercept form Feb. 1,2
· the intercepts Feb. 3,4
· any two points Feb. 5,8
· the slope and the point Feb. 9,10
1.13 Use linear equations in two
variables to solve problems. Feb. 11,12
F. SPECIAL PRODUCTS AND FACTORING
1. Demonstrate knowledge and skills in finding spescial products
and factors of certain polynomial.
1.1 Identify special products
· polynomial whose terms have a
common monomial factor Feb. 15,16,17
· trinomials which are products of two binomials Feb. 18,19,22
· trinomials which are square of a binomial Feb. 23,24,25
· products of the sum and difference of
two quantities Feb. 26, March 1,2
1.2 Given the factors, find the special products March 3,4,5
1.3 Factor polynomials
· polynomial whose terms have a
common monomial factor March 8,9,10
· trinomials which are products of two binomials March 11,12,15
· trinomials which are square of a binomial March 16,17,18
· products of the sum and difference of
two quantities March 19,22,23
1.4 Given a polynomial factor completely March 24,25,26
MASTERY TEST March 29
FOURTH PERIODICAL TEST March 30,31
Prepared by: First Year Teachers
