THE PHILIPPINE SCHOOL
Al Muhaisnah 2, Dubai, United Arab Emirates
COURSE OUTLINE in MATHEMATICS 8
I. DESCRIPTION
Mathematics by itself is all about quantities, shapes and figures, functions, logic, and reasoning. The contents of mathematics in the K-12 curriculum include
Numbers and Number Sense, Measurement, Geometry, Patterns and Algebra, and Statistics and Probability. It provides the necessary concepts and life skills needed
to proceed to the next stage of life as learners and as citizens of the world.
At the end of the course, the learner can demonstrate an understanding of key concepts and principles of patterns and algebra (factors of a polynomial, rational
algebraic expressions, linear equations, and inequalities in two variables), geometry (axiomatic structure of geometry, triangle congruence, inequalities in triangle,
and parallel and perpendicular lines), and statistics and probability (probability of simple events) as applied – using appropriate technology – in critical thinking,
problem solving, reasoning, communicating, making connections, representations, and decision in real life.
In compliance with the UAE National Agenda Parameter (NAP) some competencies from the International School assessment (ISA), Trends in Mathematics and
Science Study (TIMSS), and Performance Assessment of standards and Skills (PASS) were integrated seamlessly to the Philippine’s K-12 curriculum to align it with
the international standards
Genyo, i-Ready and other online platforms will be used to attain the grade level standards.
II. COURSE OUTLINE
QTR TOPIC LEARNING COMPETENCIES EXTERNAL REMARKS
ASSESSMENT
ALIGNMENT
First PATTERNS AND 1. factor completely different types of polynomials TIMSS , PASS
Quarter ALGEBRA (polynomials with common monomial factor, difference of
I. Factoring Polynomials two squares, sum and difference of two cubes, perfect
square trinomials, and general trinomials).
2. solve problems involving factors of polynomials TIMSS , PASS
3. illustrate rational algebraic expressions. TIMSS
II. Rational Algebraic 4. simplify rational algebraic expressions. TIMSS, PASS
Expression 5. perform operations on rational algebraic expressions. TIMSS , PASS
6. solve problems involving rational algebraic expressions. PASS
7. illustrate the rectangular coordinate system and its uses. TIMSS , ISA
III. Linear Equations and 8. illustrate linear equations in two variables. TIMSS , ISA
Inequalities in Two Variables 9. Illustrate and find the slope of a line given two points, TIMSS , PASS
equation, and graph.
10. write the linear equation ax + by = c , y = mx + b and vice PASS
versa.
11. graph a linear equation given (a) any two points; (b) the
x– and y– intercepts; (c) the slope and a point on the line.
12. describe the graph of a linear equation in terms of its PASS
intercepts and slope.
13. find the equation of a line given (a) two points; (b) the TIMSS , PASS
slope and a point; (c) the slope and its intercepts.
14. solve problems involving linear equations in two variables. PASS
15. illustrate a system of linear equations in two variables.
16. graph a system of linear equations in two variables.
17. categorize when a given system of linear equations in two
variables has graphs that are parallel, intersecting, and
coinciding.
18. solve problems involving systems of linear equations in PASS ,TIMSS
two variables by (a) graphing; (b) substitution; (c)
elimination.
Second PATTERNS AND 1. differentiate linear inequalities in two variables from linear
Quarter ALGEBRA equations in two variables.
I. System of linear equation 2. Illustrate and graph linear inequalities in two variables.
and inequalities in two 3. solve problems involving linear inequalities in two PASS
variables variables.
4. illustrate a relation and a function. PASS
II. Functions and Relations 6. verify if a given relation is a function.
7. determine dependent and independent variables. PASS
III. Conditional Statement 8. find the domain and range of a function. PASS
9. graph and illustrates a linear function and its (a) domain; PASS
IV. Converse, inverse and (b) range; (c) table of values; (d) intercepts; and (e) slope. PASS
contrapositive of a 10. solve problems involving linear functions.
Conditional Statement 11. determine the relationship between the hypothesis and
the conclusion of an if-then statement. PASS
12. transform a statement into an equivalent if-then
statement.
13. determine the inverse, converse, and contrapositive of an PASS
if-then statement.
14. illustrate the equivalences of: (a) the statement and its PASS
contrapositive; and (b) the converse and inverse of a
statement. PASS
15. use inductive or deductive reasoning in an argument.
16. write a proof (both direct and indirect).
PASS
Third GEOMETRY 1. describe a mathematical system.
Quarter I. Triangle Congruence 2. illustrate the need for an axiomatic structure of a TIMSS , PASS
mathematical system in general, and in Geometry in
particular: (a) defined terms; (b) undefined terms; (c)
postulates; and (d) theorems. PASS
3. illustrate triangle congruence. TIMSS , PASS
4. illustrate the SAS, ASA and SSS congruence postulates TIMSS
5. solve corresponding parts of congruent triangles TIMSS , PASS
6. prove two triangles are congruent. PASS
7. prove statements on triangle congruence. PASS
8. apply triangle congruence to construct perpendicular
lines and angle bisectors.
Fourth GEOMETRY 1. illustrate theorems on triangle inequalities (Exterior Angle PASS
Quarter I. Triangle Inequalities Inequality Theorem, Triangle Inequality Theorem, Hinge
Theorem).
II. Parallel and Perpendicular 2. apply theorems on triangle inequalities. PASS
Lines 3. prove inequalities in a triangle
4. prove properties of parallel lines cut by a transversal. PASS
5. determine the conditions under which lines and segments PASS
are parallel or perpendicular.
PROBABILITY AND 6. illustrate an experiment, outcome, sample space and TIMSS , PASS
STATISTICS Event
I. Fundamental Counting 7. count the number of occurrences of an outcome in an TIMSS , PASS
Principle experiment: (a) table; (b) tree diagram; (c) systematic
listing; and (d) fundamental counting principle.
II. Experimental Probability 8. find the probability of a simple event. TIMSS , PASS
9. illustrate an experimental probability and a theoretical TIMSS , PASS
III. Theoretical Probability Probability
10. solve problems involving probabilities of simple events. PASS
III. SCOPE AND SEQUENCE
First Quarter Third Quarter
1. Factoring Polynomials 1. Triangle Congruence
2. Rational Algebraic Expression SSS, SAS, ASA congruence Postulate.
3. Linear Equations and inequalities in two variables
Second Quarter Fourth Quarter
1. System of linear equation and inequalities in two variables 1. Triangle Inequalities
2. Functions and Relations 2. Parallel and Perpendicular Lines
3. Conditional Statement 3. Fundamental Counting Principle
4. Converse, inverse and contrapositive of a Conditional 4. Experimental Probability
Statement 5. Theoretical Probability
IV. GRADING SYSTEM
Component Percentage
Written Work 35%
Performance Task 40%
Quarterly Assessment 20%
Attendance and Behavior 5%
Total 100%
REFERENCE:
Department of Education Curriculum and Instruction Strand 2020, K to 12 Most Essential Learning Competencies with Corresponding CG Codes,
accessed 17 August 2020, <https://commons.deped.gov.ph/K-to-12-MELCS-with-CG-Codes.pdf>
Prepared by: Checked by:
RAMON IV J. CASTELLANO KEVIN V. MENDOZA
WILSON Q. REBUSA Mathematics Subject Area Coordinator - JHS & SHS
Subject teacher
