June
The Real Number System
Properties of Real Numbers
Whole Numbers and their Operations
Integers: Opposites and Absolute Value
July
Addition Of Integers
Subtraction of Integers
Integer Multiplication and Division
Fractions and their Operations
Decimals and their Operations
Square Roots
August
terminology
Simplifying Numerical Expressions
Evaluating Algebraic Expressions
Verbal Phrases and Algebraic Expressions
The Laws of Exponents
Scientific Notation
September
Addition and Subtraction of Polynomials
Multiplication of Polynomials
Division of Polynomials
Linear Equations in One Variable
The Addition Property of Equality
October
Multiplication Property of Equality
Solving Equations Involving more than One Operation
Solving Operations Involving Fractions
Solving Operations Involving Decimals
Proportions
Literal Equations
November
Mathematical Equations and Verbal Sentences
Problems Involving Linear Equations in One Variable
Solving Linear Inequalities
Solving Problems Involving Linear Inequalities in One Variable
The Cartesian Coordinate System
Graphic Linear Equations
December
The Slope of a line
Forms of the Equation of the Line
Solving Problems Involving Linear Equation in Two Variables
Equations Involving Absolute Value
January
Multiplication of Polynomials
Squaring a Binomial
Squaring a Multinomial
Multiplying the Sum and Difference of the Same Terms
Getting the Cube of The Binomial
The Product of the Form (x+y) (x 2 +xy +y2) and (x-y) (x2-xy +y2)
February
Common Monomial Factoring
Factoring the Difference of Two Squares
Factoring Perfect Square trinomials
Factoring Quadratic Trinomials
Factoring By grouping
Factoring The Sum and Difference of Two Cubes
March
History of Measurement
Measuring Instruments
Converting Measurements
Ration and Measurements
Rounding Measurements
June
The Cartesian Coordinate System
Graphic Linear Equation
July
The Slope of a Line
Forms of the Equation of a Line
Solving Problems Involving Linear Equations in Two Variables
Equations involving Absolute Values
Systems of Linear Equations in Two Variables
Solving Systems Of Linear equations By Graphing
August
Solving Systems Of Linear Equations By Substitution
Solving Systems of Linear Equations by Elimination
Linear Inequalities in Two Variables
Quadratic Equation in One Variable
September
The Square Root Property
Solving Quadratic Equations By Factoring
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations By Quadratic Formula
Solving Problems Involving Quadratic Equations
October
Reviewing Fractions
Simplifying Rational Algebraic Expressions
Multiplication and Division of Rational Algebraic Expressions
Adding and Subtracting Rational Expressions
Complex Rational Expressions
Rational Equations
Solving Problems Involving Rational Expressions
November
Ratio
Proportion
Direct Variation
Inverse Variation
Joint and Combined Variation
December
Reviewing the Concepts Related to Positive Integral Exponents
Zero and Negative Exponents
Operations Involving Scientific Notation
Solving Problems Involving Integral Exponents
January
Reviewing Roots of a Number
Fractional Exponents
Simplifying Radical Expressions
Addition and Subtraction of Radical Expressions
Multiplication of Radical Expressions
Dividing Radicals
February
Radical Equations
Solving Problems Involving Radicals
Definitions of Sequences and Series
Arithmetic Sequences
Arithmetic Series
Geometric Sequences
March
Geometric Series
Harmonic Sequence
Fibonacci Sequence and Other Sequences
The Binomial Theorem
June
Undefined Terms
Angles
Polygons
Quadrilaterals
July
Measurements
Area of Squares and Rectangles
Areas of Parallelograms, Triangles, Trapezoids, and Circles
Surface Areas
Volumes
August
Relations Involving Segments and Angles
Adjacent Angles and Complementary Angles
Supplementary Angles
Perpendicular Lines
September
Angles and Sides of A Triangle
Angles Formed by Parallel Lines Cut by a Transversal
Proving Lines Parallel
Conditions for Triangle Congruence
Applying the Conditions for Triangle Congruence
Congruence and Inequality Properties in an Isosceles triangle
October
Overlapping Triangles
Right Triangle Congruence and Problems Involving Altitude and Medians
Theorems Related to Bisectors and Perpendiculars
Types of Quadrilaterals and their Properties
Properties of Diagonals and Special Quadrilaterals
November
Conditions Guaranteeing that a Quadrilateral is a Parallelogram
Trapezoid and its Properties
Kite
Ratio and Proportion
Proportionality Theorems
Similarity Between Triangles
December
Similarities in Right Triangle
Consequences for the Basic Proportionality Theorems;
Areas and Perimeters of Similar Figures
The Circle
January
Arcs and Angles
Tangent Lines and Tangent Circles
Angles Formed by Tangent and Secants
The Power Theorem
Geometric Constructions
February
Cartesian Coordinate System- Revisited
The Slope of a Line
Linear Equations
Parallel and Perpendicular Lines
March
The Distance Formula
The Midpoint Formula
Coordinate Proofs of Geometric Theorems
Circles in the Coordinate Plane
June
Reviewing the Cartesian Coordinate Plane
Relation
Functions
July
Graphs of Functions
Operations with Functions
Definition of Linear Functions
Graph of Linear Functions
August
Equations of Linear Functions
Problems Involving Linear Functions
Identifying Quadratic Functions
Graphing Quadratic Functions
The Zeros Of Quadratic Functions
September
Problems Involving Quadratic Functions and Quadratic Equations
Quadratic Inequalities
Polynomials
Polynomial Functions
The Remainder Theorem
October
The Factor Theorem and its Converse
The Zeroes of Polynomial Functions
Graphing Polynomial Functions
Polynomial Inequalities
Exponential Functions
Problems Involving Exponential Functions
November
Inverse Functions
Definition of Logarithm
Logarithmic Functions and Properties of Logarithms
Common Logarithms
Natural Logarithms
Angles and Angle Measurement
December
Relation Among Arc length, Central Angle and Radius of Circle
The Unit Circle
The Six Circular Functions
Graphs of Circular Functions
January
Trigonometric Identities: The Eight Fundamental Identities
The Other Trigonometric Identities
Trigonometric Functions of Acute Angle
Solving Right Triangles
Solving Oblique Triangles Using the Law of Sines
February
Inverses of Trigonometric Functions
Trigonometric Equations
Introduction to Statistics
Collection of Data
Graphs
Statistical Tables
March
Stem and Leaf Plots
Measures of Central Tendency
Measures of Dispersion
June
Fundamental Tools Of Physics
*Physics and Technology
*Scientific method
*Techniques in Problem Solving
*Some Mathematical Concepts and Principles
Exponents
Scientific Notation
Formula Transformation
Geometric Figures
Functions of an Acute Angle of a Right Triangle
Graphical Analysis
July
Measurement and Fundamental Quantities
Systems of Measure
Scalars and Vectors
Speed, Velocity and Acceleration
Equations of Motion
August
Free Falling Bodies
Relative Motion
Motion in the Heavens
Newton's First Law of Motion
Mass and Weight
Newton's Second Law of Motion
Gravity and the Second Law of Motion
Newton's Third :Law of Motion
Linear Momentum
September
Conservation of Momentum
Centripetal Acceleration
Universal Gravitation
Ocean Tides
Gravitational Fields
Black Holes
Artificial Satellites
Work
Coefficient of Friction
October
Power
Forms and Transformation of Energy
Mechanical Energy
Energy Conservation Law
Energy Crisis
Density
Pressure
Atmospheric Pressure
Archimedes Principle
Bernoulli's Principle
November
Electric Charges
Charging by Rubbing
Insulators and Conductors
Attraction and Repulsion
Charging by Touching
Charging by Induction
Charge is Conserved
Charge is Quantized
Coulombs Law
December
Electric Field
Electric Potential Energy and Electric Potential
Electric Current
Electromotive Force
Ohm's Law
Resistance
Semiconductors and Superconductors
Electric Power
Electrical Circuits
January
Magnets
Magnetic Fields
Electricity Produces Magnetism
Magnetic Force on a Wire
Electric Motor
Magnetism Produces Electricity
The Alternating Current Generator
The Transformer
Types and Sources of Power-Generating Plants in the Philippines
February
Wave Characteristics
Types of Waves
Measures of Wave- Frequency, Wavelength, Velocity, and Amplitude
Wave Properties and Interactions
Nature and Properties of Sound
Physical Properties of Sound
Wave Properties of Sound and Its Applications
Sound Transmission
March
Nature and Properties of Light Waves
The Facts Of Light
Behavior of Light
Lenses
Some Common Optical Instruments
Diffraction and Interference
Polarization
Light and the Electromagnetic Spectrum
