COURSE DESCRIPTION MATHEMATICS
Transcript of COURSE DESCRIPTION MATHEMATICS
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 1
BASIC EDUCATION DEPARTMENT
HOLY ANGEL UNIVERSITY
LES AND JHS �
COURSE DESCRIPTION MATHEMATICS
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 2
COURSE DESCRIPTION
Mathematics from K-10 is a skills subject. By itself, it is all about quantities, shapes and figures, functions, logic, and reasoning. Mathematics is also a tool of science and a language complete with its own notations and symbols and “grammar” rules, with which concepts and ideas are effectively expressed.
The contents of mathematics include Numbers and Number Sense, Measurement, Geometry, Patterns & Algebra and Statistics and Probability.
Numbers and Number Sense as a strand include concepts of numbers, properties, operations, estimation, and their applications.
Measurement as a strand includes the use of numbers and measures to describe, understand, and compare mathematical and concrete objects. It focuses on attributes such as length, mass and weight, capacity, time, money, and temperature, as well as applications involving perimeter, area, surface area, volume, and angle measure.
Geometry as a strand includes properties of two- and three-dimensional figures and their relationships, spatial visualization, reasoning, and geometric modelling and proofs.
Patterns and Algebra as a strand studies patterns, relationships, and changes among shapes and quantities. It includes the use of algebraic notations and symbols, equations, and most importantly, functions, to represent and analyze relationships.
Statistics and Probability as a strand is all about developing skills in collecting and organizing data using charts, tables, and graphs; understanding, analyzing and interpreting data; dealing with uncertainty; and making predictions about outcomes.
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 3
The K to 10 Mathematics Curriculum provides a solid foundation for Mathematics at Grades 11 to 12. More importantly, it provides necessary concepts and life skills needed by Filipino learners as they proceed to the next stage in their life as learners and as citizens of the Philippines.
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 4
LABORATORY ELEMENTARY SCHOOL
The course covers key concepts and skills involving numbers and number sense (whole numbers, number theory, fractions, decimals, ratio and proportion, percent, and integers);measurement (time, length, mass, capacity, speed,
perimeter, circumference and area of plane figures, volume and surface area of solid/space figures, temperature and meter reading); geometry (parallel and perpendicular lines, angles, triangles, quadrilaterals, polygons, circles, and solid
figures); patterns and algebra (continuous and repeating patterns, number sentences, sequences, and simple equations); statistics and probability (data collection and representation in tables, pictographs, bar graphs, line graphs and pie graphs,
simple experiment, and experimental probability) as applied -using appropriate technology - in critical thinking, problem solving, reasoning, communicating, making connections, representations, and decisions in real life.
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 5
K
The course is designed for kinder students who require skill development on the key concepts and skills involving numbers and number sense (whole numbers up to 20, basic concepts on addition and subtraction); geometry (basic
attributes of objects), patterns and algebra (basic concept of sequence and number pairs); measurement (time, location, non-standard measures of length, mass and capacity); and statistics and probability (data collection and tables) as
applied - using appropriate technology - in critical thinking, problem solving, reasoning, communicating, making connections, representations and decisions in real life.
First Quarter
Second Quarter
Third Quarter
Fourth Quarter
• Colors, Shapes, and Patterns
• Sizes of the objects:
Big-Small, Long-Short, Tall-Short, and Heavy-Light)
• Counting Numbers: 0-
20
• Comparing and Ordering Numbers
• Measuring Using
Standard and Non-standard Units
• Days of the Week
and Months of the Year
• Ordinal Numbers from 1st to 20th
• Place Values: Tens and Ones)
• Simple Addition and Picture Addition
• Simple Subtraction and Picture Subtraction
• Money and Addition and Subtraction of Money
• Skip Counting
• Simple Fractions
• Telling Time
• Simple Pictographs
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 6
• Simple Multiplication and Division
GRADE 1
The course covers key concepts and principles of numbers and number sense (whole numbers up to 100, ordinal numbers up to 10th, money up to PhP100, addition and subtraction of whole numbers, and fractions ½ and 1/4);geometry
(2- and 3dimensional objects); patterns and algebra (continuous and repeating patterns and number sentences); measurement (time, non-standard measures of length, mass, and capacity);and statistics and probability (tables,
pictographs, and outcomes) as applied - using appropriate technology - in critical thinking, problem solving, reasoning, communicating, making connections, representations, and decisions in real life.
First Quarter
Second Quarter
Third Quarter
Fourth Quarter
I. Number Concepts
• Numbers 1-10
• More Than Fewer
Than, and As Many
I. Subtraction of Whole
Numbers
• Subtraction as Taking
Away
I. Fractions
• Equal Parts
• One-Half of a Whole
• One-Half of a Group
I. Time and
Measurement
• Days of the Week
• Months of the Year
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 7
As\
• Comparing and
Ordering Numbers up
to 10
• Numbers 11-100
• Skip Counting by 2s,
5s, and 10s
• Place Value through
Tens
• Ordinal Numbers
II. Addition of Whole
Numbers
• Putting Things
Together
• Fact Families
• Subtraction of One-
Digit Numbers From
Minuends up to 18
• Subtraction Without
Regrouping
• Subtraction With
Regrouping
• Solving Word
Problems Involving
Addition or
Subtraction
II. Money
• Recognizing Money
of Objects
• One-Fourth of a
Whole
• One-Fourth of a
• Group of Objects
II. Shapes and Patterns
• Identifying the Four
Basic Shapes
• Identifying Common
3D Shapes
• Identifying Patterns
• Completing Patterns
• Telling Time
• Heavy or light
• Height and Length
• Capacity
II. Picture Graphs
• Collecting and
Organizing Data
• Reading and
Interpreting Data
• Basic Probability
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 8
• Sums 11up to 18
• Zero in Addition
• Order Property in
Addition
• Addition of Three
One-Digit Numbers
with Sums up to 18
• Addition without
Regrouping
• Addition with
Regrouping
• Mental Addition
• Telling How Much
• Money of Equal Value
• Comparing amounts
• Solving Word
Problems Involving
Addition or
Subtraction of Money
III. Multiplication
• Multiplication as
Repeated Addition
• Properties of
Multiplication
• Multiplication Facts 2
• Multiplication Facts 5
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 9
• Multiplication Facts
10
• Multiplication Facts 3
and 4
IV. Division
• Division by Grouping
• Relationship Between
Multiplication and
Division
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 10
GRADE 2
The course covers concepts and skills involving numbers and number sense (whole numbers up to 1 000, ordinal numbers up to 20th, money up to PhP100, the four fundamental operations of whole numbers, and unit fractions);
geometry (basic shapes, symmetry, and tessellations); patterns and algebra (continuous and repeating patterns and number sentences);measurement (time, length, mass, and capacity); and statistics and probability (tables, pictographs,
and outcomes) as applied - using appropriate technology - in critical thinking, problem solving, reasoning, communicating, making connections, representations, and decisions in real life.
First Quarter
Second Quarter
Third Quarter
Fourth Quarter
I. Whole Numbers
• Numbers to 1 000
• Place Value through 1
000
I. Multiplication of Whole
Numbers
• Meaning of
Multiplication
I. Fractions
• Naming Fractional Part
of Objects
• Identifying Fifths,
I. Measurement
• Measuring Length
Using Nonstandard
Units
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 11
• Comparing and
Ordering Numbers
• Skip Counting by 10s,
50s, and 100s
• Roman Numerals
• Ordinal Numbers
III. Addition of Whole
Numbers
• Properties of Addition
• Addition of Two- to
Three-Digit Numbers
Without Regrouping
• Addition of Two- to
Three-Digit Numbers
With Regrouping
• Problem Solving
• Properties of
Multiplication
• Multiplying by 2, 5, and
10
• Multiplying by 3, 4, and
6
• Multiplication of 2- to 3-
Digit Numbers
• Two- Step Word
Problems Involving
Multiplication and
Addition and
Subtraction
II. Division of Whole
Numbers
• Sharing and Grouping
Sixths, and Eighths
• Fraction as Part of Set
• Comparing Fractions
• Ordering Fractions
• Addition and Subtraction of
Similar
II. Fractions
• Problem Solving
Involving Fractions
III. Money, Calendar, and
Time
• Coins and Paper Bills
• Addition and
Subtraction of Money
• Using Calendar
• Measuring Time
• Measuring Length
Using Meter and
Centimeter
• Measuring Weight
• Finding the Perimeter
• Finding the Area Using
Square Units
II. Statistics and Basic
Probability
• Picture Graphs
• Representation of Data
Using Scales
• Basic Probability
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 12
involving Addition
• Mental Addition
IV. Subtraction of Whole
Numbers
• Subtraction Facts
• Subtraction of Whole
Numbers Without
Regrouping
• Subtraction of Whole
Numbers With
Regrouping
• Subtraction with Zero
Difficulty
• Mental Subtraction
• Order of Operations
Involving Addition and
of Objects
• Relationship Between
Multiplication and
Division
• Problem Solving
Involving Division
IV. Geometry and
Patterns
• Lines
• 2-D Shapes
• 3-D Shapes
• Identifying Patterns
• Symmetry
• Tessellation
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 13
Subtraction
• Solving Word Problems
Involving Subtraction
• Solving 2-Step Addition
and Subtraction
GRADE 3
The course covers key concepts and skills involving numbers and number sense (whole numbers up to 10 000; ordinal numbers up to 100th; money up to PhP1 000;the four fundamental operations of whole numbers; proper and improper fractions; and similar, dissimilar, and equivalent fractions); geometry (lines, symmetry, and tessellations); patterns and
algebra (continuous and repeating patterns and number sentences); measurement (conversion of time, length, mass and capacity, area of square and rectangle); and statistics and probability (tables, bar graphs, and outcomes) as applied - using appropriate technology - in critical thinking, problem solving, reasoning, communicating, making connections,
representations, and decisions in real life.
First Quarter
Second Quarter
Third Quarter
Fourth Quarter
I. Understanding Whole
Numbers
• Counting Whole
I. Multiplication of Whole
Numbers
• Multiplication and Its
I. Fractions
• Concepts of Fractions
• Kinds of Fractions
I. Measurement
• Time
• Converting Time
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 14
Numbers
• Numbers in Standard
Form and Word Form
• Comparing and
Ordering Numbers
• Rounding Off Numbers
• Ordinal Numbers
• Roman Numerals
• Reading and Writing
Money up to 1 000
Pesos
• Comparing Money
Through 1 000 Pesos
II. Addition and
Subtraction of Whole
Properties
• Multiplication Facts of 6,
7, 8, 9, and 10
• Multiplication of Whole
Numbers by 1-Digit
Number With and
Without Regrouping
• Multiplication of Whole
Numbers by 2-Digit
Numbers With and
Without Regrouping
• Multiplying Numbers By
10, 100, and 1 000
• Estimating Products
• Mental Multiplication
• Solving 2-step Word
• Equivalent Fractions
• Comparing and
Ordering Fractions
• Fractions in The Lowest
Terms
• Addition and
Subtraction of Similar
Fractions
• Addition and
Subtraction of
Dissimilar Fractions
• Fractions of a Number
II. Decimals
• Fractions and Decimals
• Comparing and
Ordering Decimals
Measure
• Length
• Perimeter
• Area
• Mass Measurement
• Capacity Measure
II. Statistics and Basic
Probability
• Pictograph
• Bar Graph
• Line Graph
• Making Simple
Prediction
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 15
Numbers
• Addition Concepts
• Addition of Whole
Numbers Without
Regrouping
• Addition of Whole
Numbers With
Regrouping
• Mental Addition
• Problem Solving
involving Addition
• Subtraction of Whole
Numbers Without
Regrouping
• Subtraction of Whole
Numbers With
Problems Involving
Multiplication
• Factors and Multiples
• Prime and Composite
Numbers
• Prime Factorization
• Dividing Whole Numbers
• Division Facts
• Dividing 1-Digit Divisor
Without Remainder
• Dividing 1-Digit Divisor
With Remainder
• Dividing by 2-Digit
Divisors
• Division by Multiples of
10
• Adding Decimals and
Money
• Subtracting Decimals
and Money
• Solve Word Problems
on Addition and
Subtraction of Decimals
II. Geometry
• Lines
• Angles
• Polygons
• Solid Figures
• Lines and Symmetry
• Tessellation
III. Patterns and Algebra
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 16
Regrouping
• Subtraction with Zeroes
in the Minuend
• Mental Subtraction
• Estimating Sums and
Differences
• Solving Word Problems
Involving Addition and
Subtraction
• Order of Operation
• Estimating Quotient
• Mental Division
• Solving Multi-step Word
Problems
• Odd and Even Numbers
• Identifying and
Completing Pattern
• Number Patterns
• Finding The Missing
Number in a Number
Sentence
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 17
GRADE 4
The course covers key concepts and skills involving numbers and number sense (whole numbers up to 100 000, multiplication and division of whole numbers, order of operations, factors and multiples, addition and subtraction of fractions, and basic concepts of decimals including money); geometry (lines, angles, triangles, and quadrilaterals);
patterns and algebra (continuous and repeating patterns and number sentences); measurement (time, perimeter, area, and volume); and statistics and probability (tables, bar graphs, and simple experiments) as applied - using appropriate technology - in critical thinking, problem solving, reasoning, communicating, making connections, representations, and
decisions in real life.
First Quarter
Second Quarter
Third Quarter
Fourth Quarter
I. Numbers Through
Millions
• Place Value Through
I. Discovering Number
Theory
• Factors
I. Appreciating
Geometry
• Basic Geometric
I. Understanding
Measurement
• Area
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 18
Millions
• Numbers in Standard
Form and Expanded
Notation
• Comparing and
Ordering Whole
Numbers
• Adding and Subtracting
Large Numbers
• Estimating Sum and
Difference
• Mental Addition and
Subtraction
• Problem Solving
II. Multiplication of
Whole Numbers
• Prime and Composite
Numbers
• Factor Trees
• Divisibility Test
• Common Factors and
GCF
• Common Multiples and
LCM
II. Valuing Fractions
• Basic Concepts in
Fractions
• Equivalent Fractions
and Fractions in
Simplest Form
• Improper and Mixed
Form
Figures
• Angles and Lines
• Plane Figures
• Line of Symmetry
• Solid Figures
II. Patterns and Algebra
• Naming Patterns
• Finding Pattern
• Completing Pattern
• Solving Simple
Completion
• Perimeter
• Circle
• Volume
• Linear Measure
• Capacity and Mass
Measure
• Elapsed Time
II. Statistics and Probability
• Organizing and
Interpreting Data in
Tables
• Constructing and
Interpreting Bar Graph
• Favorable Outcomes
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 19
• Basic Facts of
Multiplication
• Multiplication of Whole
Numbers with One-digit
Multiplier
• Multiplication of Whole
Numbers with Two to
Three-digit Multiplier
• Multiplying by 10, 100,
and 1000
• Estimation of Product
• Mental Multiplication
• Solving Multi-Step
Problems Involving
Multiplication and
Addition or Subtraction
• Comparing and
Ordering Fractions
• Adding and Subtracting
with Similar Fractions
• Adding and Subtracting
with Dissimilar
Fractions
• Multiplication of
Fractions
• Division of Fractions
III. Valuing Decimals and
Money
• Basic Ideas of Decimals
• Compare and Order
Decimals
• Rounding Off Decimal
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 20
III. Division of Whole
Numbers
• Concepts of Division
• Dividing with One- or
Two-Digit Divisors
• Dividing by 10, 100 and
1000
• Estimation of Quotient
• Mental Division
• Order of Operations
• Solving Word Problems
Involving Division and
Any of the Other
Operations
Numbers
• Addition of Decimals
and Money
• Subtraction of Decimals
and Money
• Multiplication of
Decimals
• Division of Decimals
• Averages
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 21
GRADE 5
The course covers key concepts and skills involving numbers and number sense (whole numbers up to 10 000 000, order of operations, factors and multiples, fractions and decimals including money, ratio and proportion, percent);
geometry (polygons, circles, solid figures); patterns and algebra (sequence and number sentences); measurement (time, circumference, area, volume, and temperature); and statistics and probability (tables, line graphs and experimental
probability) as applied - using appropriate technology - in critical thinking, problem solving, reasoning, communicating, making connections, representations, and decisions in real life.
First Quarter
Second Quarter
Third Quarter
Fourth Quarter
I. Whole Numbers
• Concepts of Whole
Numbers
• Rounding Off Whole
I. Decimals
• Place Value of
Decimals
• Comparison and Order
I. Percent
• Introduction to Percent
• Conversion of Percent
to Fraction and Decimal
I. Measurement in Our
World
• Perimeter of Simple
Geometric Figures
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 22
Numbers
• Addition and
Subtraction of Whole
Numbers
• Multiplication and
Division of Whole
Numbers
• Order of Operations
• Average
• Powers and Exponents
II. Introduction of
Number Theory
• Factors and Multiples
• Divisibility Rules
• Prime Factorization
• Greatest Common
of Decimals
• Rounding Off Decimals
• Addition and
Subtraction of Decimals
• Multiplication of
Fractions
• Division of Decimals
II. Ratio, Rate and
Proportion
• Ratio and Rate
• Proportion
• Direct Proportion
• Inverse Proportion
• Scale Drawing
to Fraction
• Finding the Percentage
of a Number
• Finding the Percentage
• Finding the Base
II. Basic Geometry
• Common Definitions
• Measuring Angles And
Angle Relationship
• Polygons
• Concepts of Circle
• Solid Figures
III. Patterns and Algebra
• Sequences
• Simple Equation
IV. Measurement in Our
• Area of Simple
Geometric Figures
• Circumferences and
Area of Circles
• Volume of Solid Figures
II. Statistics and Probability
• Bar Graph
• Line Graph
• Circle Graph
• Experimental
Probability
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 23
Factor(GCF)
• Least Common Multiple
(LCM)
III. Fractions
• Basic Concept of
Fractions
• Addition and
Subtraction of Fractions
• Multiplication Involving
Fractions
• Division of Fractions
World
• The Metric System
• Time Around the World
• Measuring Temperature
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 24
GRADE 6
The course covers key concepts and skills involving numbers and number sense (divisibility, order of operations, fractions and decimals including money, ratio and proportion, percent, integers); geometry (plane and solid figures); patterns and
algebra (sequence, expression, and equation); measurement (rate, speed, area, surface area, volume, and meter reading); and statistics and probability (tables, pie graphs, and experimental and theoretical probability) as applied - using
appropriate technology - in critical thinking, problem solving, reasoning, communicating, making connections, representations, and decisions in real life.
First Quarter
Second Quarter
Third Quarter
Fourth Quarter
I. Exploring the Number
System
• Concept of Numbers
and Their Properties
I. Ratio, Proportion, and
Percent
• Concept of Ratio
• Concept of Proportion
I. Geometry and
Measurement
• Reviewing of Basic
Geometric Facts
I. Meter Reading
• Electric Meter Reading
• Water Meter Reading
II. Statistics and Probability
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 25
• Operations Involving
While Numbers
• Order of Operations
II. Number Theory, Fractions
and Applications
• Divisibility Rules
• Prime and Composite
Numbers and Prime
Factorization
• Greatest Common
Factor (GCF) and Least
Common Multiples
• Concept of Fractions
• Addition and Subtraction
of Fractions
• Multiplication of
• Kinds of Proportion
• Concept of Percent
• Application of Percent
• More Percent Problems
II. Understanding Integers
• Integers
• Addition of Integers
• Subtraction of Integers
• Multiplication of
Integers
• Division of Integers
• Classifying, Measuring,
and Drawing Angles
• Polygons
• Congruence
• Perimeter and
Circumference of Plane
Geometric Figures
• Area of Plane Geometric
Figures
• Space Figures and
Surface Areas
• Space Figures and Nets
• Volumes of Space
Figures
• Speed, Distance, and
Time
• Collection and
Presentation of Data
• Line and Bar Graphs
• The Language of
Chance
• Simple Probability
• Theoretical and
Experimental
Probability
• Interpreting Data
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 26
Fractions
• Division of Fractions and
Mixed Numbers
III. Number Theory,
Decimals and Applications
• Visualizing Decimals
• Reading and Writing
Decimals Through Ten
Thousandths
• Decimal Form of a
Fraction
• Comparing and Ordering
Decimals
• Estimating
Sums/Differences of
Whole Numbers and
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 27
Decimals
• Addition and Subtraction
of Decimals
• Multiplication of
Decimals
• Division of Decimals
• Solving Decimals Using
Mixed Operations
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 28
JUNIOR HIGH SCHOOL
The course is designed for junior high students who require skill development on the key concepts and skills involving numbers and number sense (sets and real numbers); measurement (conversion of units); patterns and algebra (linear
equations and inequalities in one and two variables, linear functions, systems of linear equations, and inequalities in two variables, exponents and radicals, quadratic equations, inequalities, functions, polynomials, and polynomial equations and functions); geometry (polygons, axiomatic structure of geometry, triangle congruence, inequality and similarity, and basic
trigonometry); statistics and probability (data collection and presentation, measures of central tendency, measures of variability, the standard normal distribution, z-scores and measures of skewness; hypothesis testing using z-test, t-test,
simple linear correlation, chi-square test, and regression analysis; combinatorics and probability) as applied - using appropriate technology - in critical thinking, problem solving, communicating, reasoning, making connections,
representations, and decisions in real life.
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 29
GRADE 7
The course is designed for seventh grade students who require skill development on the key concepts and principles of numbers and number sense (sets and real number system); measurement (conversion of units of measurement);patterns and algebra (algebraic expressions and properties of real numbers as applied in linear equations and inequalities in one variable); geometry (sides and angles of polygons); and statistics and probability (data collection and presentation, and
measures of central tendency and variability) as applied - using appropriate technology - in critical thinking, problem solving, reasoning, communicating, making connections, representations, and decisions in real life.
First Quarter
Second Quarter
Third Quarter
Fourth Quarter
I. Number and Number Sense
• Sets and Subsets • Basic Set Operations
I. Measurements • Historical Development
of Measurement • Measuring Instrument
I. Linear Equations and Inequalities in One Variable
• Concept of Linear
I. Basic Concepts in Geometry
• The Three Elements of
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 30
• Venn Diagram • Solving Problems
Involving Set Operations
II. Real Numbers
• Subsets of Real Numbers
• Properties of Real Numbers
• The Set of Fractions • The Set of Decimals • The Set of Irrational
Numbers III. The Set of Integers
• Addition of Integers • Subtraction of Integers • Multiplication of
Integers • Division of Integers
• Converting Measurement
• Solving for Perimeter • Solving for Area • Solving for Volume
II. Algebraic Expressions
• Terminologies • Simplifying Numerical
Expressions
• Evaluating Algebraic Expressions
• Verbal Phrases and Algebraic Expressions
• The Laws of Exponents • Adding and Subtracting
Polynomials • Multiplying Polynomials • Special Product • Dividing Polynomials
Equations • Difference Between
Equations and Inequalities
• Illustrating Linear Equation and Inequality in One Variable
• Addition Property of Equality
• Multiplication Property of Equality
• More on Solving Linear Equations and Literal Equations
• Solving Linear Equations Involving More Than One Operations
• Solving Equations Involving Fractions
• Solving Equations Involving Decimals
• Linear Equations Involving Absolute Value
• Mathematical Equations and Verbal Sentences
• Solving Real - Life
Geometry • Segments and
their Measurements
• Rules, Betweeness of Points and Segment Addition Postulate.
• Angles and their Measurements
• Use of Protractor
II. Angle Pairs • Congruent Angles • Adjacent Angles • Complementary
Angles • Supplementary
Angles • Linear Pairs • Vertical Angles • Solving Real - Life
Problems Involving Angle Pairs
• Parallel Lines and Transversals
• Use of The Compass and Straightedge
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 31
Problems Involving Linear Equations in One Variable that Include Fractions and Decimals
• Solving Linear Inequalities
• Solving Real - Life Problems Involving Linear Inequalities in One Variable
II. Plane Figures
• Polygons II. Triangles
• Kinds of Triangles • Sum of Angles of a
Triangle • Special Segments
of a Triangle
III. Quadrilaterals • Properties of
Quadrilaterals • Solving Real - Life
Problems Involving Triangles and Quadrilaterals
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 32
GRADE 8
The course is designed for eighth grade students who require skill development on the key concepts and principles of patterns and algebra (factors of polynomials, rational algebraic expressions, linear equations and inequalities in two variables, systems of linear equations and inequalities in two variables); geometry (axiomatic structure of geometry,
triangle congruence, inequalities in a 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 decisions in real life.
First Quarter
Second Quarter
Third Quarter
Fourth Quarter
I. Integral Exponents
• Positive Integral Exponents and Laws of Exponents
• Zero and Negative Integral Exponents
II. Polynomials • Idea of Polynomials
I. Rational Algebraic Expressions
• Defining a Rational Expressions
• Simplifying Fractions • Simplifying Rational
Expressions • Multiplication and
I. Linear Equations in Two Variables
• Rectangular Coordinate System
• The Cartesian Plane • Naming a Point • Plotting a Point • Problem Solving
I. Axiomatic Structure of Geometry
• Inductive and Deductive Reasoning
• Illustrates the Properties of Equalities
• Conditional,
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 33
• Understanding Polynomial Addition and Subtraction
• Multiplication of Polynomials
• Synthetic Division III. Special Products
• Multiplying a Polynomial by a monomial
• Multiplying Binomials • Multiplying
Polynomials • Square of Binomial • Product of the Sum
and Difference of Two Terms
• Square of Multinomial • Cube of a binomial • Product of the Form
(x±y)(x2±2xy+y2) • Application of Special
Products IV. Factors of
Polynomials • Common Monomial
Factors • Common Binomial
Factors • Factors of Difference
Division of Rational Expression
• Adding and Subtracting with Similar Rational Algebraic Expressions
• Adding and subtracting with Dissimilar Rational Algebraic Expressions
• Complex Rational Algebraic Expressions
• Solving Rational Equations
• Problem Solving involving Rational Equations
II. Introduction to Linear Function
• Relation and Function • Domain and Range • Dependent and
Independent Variables
• Function Notation and its evaluation
Involving Plotting of Points
• Definition of a Linear Equation in Two Variables
• Graph of a Linear Equation by Point-Plotting
• Graph of a Linear Equation by Intercepts
• Slope of a Line • Graph of a Line using
Slope and a Point on the Line
• Forms of the Equation of a Line
• Equations of Vertical and Horizontal Line
• Solving Problems Involving Linear Equations in Two Variables
II. Systems of Linear Equations in Two Variables
• Identifying different Systems of Linear Equations in Two Variables
Converse, Inverse, Contrapositive and Biconditional Statements
• Drawing Conclusion Based from Definition, Theorems and Postulates
• Proving Angle Pair Relationships
II. Triangle Congruence and Inequalities in a Triangle
• Condition for Triangle Congruence
• CPCTC • Congruence in
Isosceles Triangles • Overlapping Triangles • Right Triangle
Congruence • Bisectors and
Perpendicular Lines • Triangles Inequalities • Parallel and
Penpedicular Lines
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 34
of Two Squares • Perfect Square
Trinomial • Simple Quadratic
Trinomial • Factoring Trinomials
of the Form ax2+bx+c Factoring Sum or Difference of Two Cubes
• Problem Solving involving Factoring
• Solving Systems of Linear Equations by Graphing
• Solving Systems of Linear Equations by Substitution
• Solving Systems of Linear Equations by Elimination
• Solving Systems of Linear Equations by Elimination
• Solving Systems of Linear Equations Using Determinants
• Problems Involving Systems of Linear Equations in Two Variables
• Definition of Linear Inequality in Two Variables
• Graph of Linear Inequality in Two Variables
• Graph of System of Linear Inequalities
• Problem Solving Involving Linear Inequalities in Two
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 35
Variables
GRADE 9
The course is designed for ninth grade students who require skill development on the key concepts and principles of patterns and algebra (quadratic equations and inequalities, quadratic functions, rational algebraic equations, variations,
and radicals) and geometry (parallelograms and triangle similarities and basic concepts of trigonometry) as applied - using appropriate technology - in critical thinking, problem solving, reasoning, communicating, making connections,
representations, and decisions in real life.
First Quarter
Second Quarter
Third Quarter
Fourth Quarter
I. Quadratic Equations
• Solving Quadratic Equation by Extracting Square Roots
• Solving Quadratic Equation by Factoring
• Solving Quadratic Equation by
I. Quadratic Functions • Recognizing
Quadratic Functions • The Standard
form of Quadratic Functions
• The Vertex form of Quadratic Functions
I. Triangle Congruence and Inequalities of Triangle
• Right Triangle Congruence
• Triangle Inequalities • Inequalities in A
single Triangle
I. Six Trigonometric Functions
II. Trigonometric Functions of Special Angles • Trigonometric
Functions of Special Angles of 30, 45 and
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 36
Completing the Square
• Solving Quadratic Equation by Quadratic Formula
• Problems Involving Quadratic Equations
III. Roots of
Quadratic Equations
• Nature of the Roots of Quadratic Equation
• Sum and Product of the Roots of Quadratic Equations
• Equations in Quadratic Form
• Problems involving Roots of Quadratic Equation
III. Quadratic Inequalities
• Properties of Inequality
• The Case-Exploration Method
• The Inspection-of-Signs Method
• The Parabola Method
• Second Difference Test
II. Graphs of Quadratic Functions
• Table of Values • The Parabola • Vertex, Axis of
Symmetry, and Extreme Point of Quadratic Functions
• Problems involving Graphs of Quadratic Function
III. Zeroes of Quadratic Functions
• Finding Zeroes of Quadratic functions by Factoring
• Imaginary Zeroes • Finding Zeroes of
Quadratic functions by Quadratic Formula
• Deriving Quadratic Equations and Functions
• Effects in Changing the Value of a
• Effects in Changing
• Inequalities in Two Triangles
II. Geometric Proportion
• Laws of Proportion • Problems involving
Geometric Proportion • Similar Polygons • Similar Triangles
III. Triangle Similarity
• Similarity Theorems • AAA Similarity
Theorem • AA Similarity
Theorem • SAS Similarity
Theorem • SSS Similarity
Theorem
IV. Right Triangles and Similarities in Right Triangles
• Right Triangle Similarity
• Pythagorean Theorem
• Special Right Triangle
• Problems Involving
60
III. Solutions of Right Triangles
IV. Applications of Angle of Elevation and Angle of Depression
V. Solutions of Oblique Triangles
• Law of Sines • Application of Law of
Sines • Law of Cosines • Applications of Law
of Cosines
VI. Trigonometric Identities
• Simplifying Trigonometric Identities
• Proving Trigonometric Identities
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 37
the value of h and k
IV. Variations • Ratio and Proportion • Direct Variation • Inverse Variation • Joint Variation • Combined Variation • Problems Involving
Variation
V. Rational Exponents and Radicals
• Integral Exponents • Expressions with
Rational Exponents • Roots of a Number • Radical Expressions • Addition and
Subtraction of Radical Expressions
• Multiplication and Division of Radical Expressions
• Radical Equations • Problems Involving
Rational Exponents and Radicals
Triangle Similarity
V. Quadrilaterals • Review of Different
Kinds of Quadrilaterals
• Parallelograms and their Properties
• Special Parallelograms
• Theorems to Prove that Quadrilaterals can be Parallelograms
• Trapezoid • Kites • Problems Involving
Quadrilaterals
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 38
GRADE 9 ENRICHMENT
The course covers key concepts and principles of descriptive statistics (data collection and presentation, measures
of central tendency, measures of variability, the standard normal distribution, z-scores and measures of skewness); and
inferential statistics (hypothesis testing using z-test, t-test, simple linear correlation, chi-square test, and regression
analysis) as applied - using appropriate technology - in critical thinking, problem solving, reasoning, communicating,
making connections, representations, and decisions in real life.
First Quarter
Second Quarter
Third Quarter
Fourth Quarter
I. Introduction to Statistics
• Origin and Development of
I. The Quantiles
• Computation of Quantiles for Ungrouped Data
I. Hypothesis Testing
• Introduction
• Definition of
I. A Hypothesis Testing Procedure
• Chi-square Goodness-of-fit Test:
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 39
Statistics
• Uses of Statistics
• Fields of Statistics
• Constant and Variables
• Data and information
• Population and Sample
• Sloven’s Formula in Determining the Sample Size
• Census and Sampling techniques
• Random and Non-random Sampling
• Properties of Ramdom Sampling
• Sampling Techniques
II. Organization and presentation of Data Forms of Presentation of Data
• Different Kinds of
• Computation of Quantiles for Grouped Data
II. Measures of Variability, Skewness and Kurtosis
• Introduction
• Measures of Variability
• The Range
• The Average
Deviation
• The Quartile Deviation
• The Standard Deviation
• Skewness and Kurtosis
• Calculating Skewness and Kurtosis
• How Skewness is
Hypothesis
• Definition of Hypothesis Testing
• Two Types of Hypothesis
• Types of Errors
• Definition of Level of Significance
• One tailed and Two tailed Tests
Equal Expected Frequencies
II. Measures of Correlation
• Definition
• The Pearson Product-Moment Correlation Coefficient
• Other Interpretation of Pearson’s r
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 40
Graphs/Charts
III. FREQUENCY DISTRIBUTION
• Definition
• Parts of Frequency Table
• Steps in Constructing a Frequency Distribution Table
• Cumulative Frequency Distribution
• Relative frequency Distribution
• Graphical Representation of the Frequency Distribution
IV. Measures of Central Tendency
Computed
• Interpreting Skewness
• Standard Scores of z-scores
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 41
• Arithmetic Mean
• Characteristics of the Mean
• Uses of the Mean
• Computation of the Mean for Ungrouped Data
• Computing the Mean for Group Data
• The Median
• Characteristics of the Median
• Uses of the Median
• Computation of the Median for Ungrouped Data
• Computing the Median for Group Data
• The Mode
• Characteristics of the
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 42
Mode
• Uses of the Mode
• Computation of the Mode for Ungrouped Data
• Computing the Mode for Group Data
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 43
GRADE 10
The course is designed for tenth grade students who require skill development on the key concepts and principles of patterns and algebra (sequences, series, polynomials, polynomial equations, and polynomial functions); geometry (circles
and coordinate geometry); and statistics and probability (combinatorics and probability, and measures of position) as applied - using appropriate technology - in critical thinking, problem solving, reasoning, communicating, making
connections, representations, and decisions in real life.
First Quarter
Second Quarter
Third Quarter
Fourth Quarter
I. Probability: • Fundamental
Counting Principles o Tree Diagram
• Permutation o Linear Permutation o Circular Permutation o Distinguishable
Permutation
• Combinations
• Probability of Simple Events
o Odds of an event
I. Polynomial Functions: • Polynomial Functions
and Application o Identifying
polynomial functions
o Synthetic Substitution
• Synthetic Division
o Long Division o Synthetic Division
(binomial divisor) o Synthetic Division
(trinomial divisor)
I. Circles: • Parts of a Circle
o Line Segments related to Circles
o Lines related to Circles
o Angles related to Circles
o Arcs • Central Angles
o The Central Angle-Intercepted Arc Postulate
o The Arc Addition Postulate
o Arc Length
I. Plane Coordinate Geometry:
• The Distance Formula o Distance between
two points
• The Midpoint Formula o Midpoint of two
points
• Placing Figures in the Coordinate o Drawing figures in
the coordinate plane
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 44
• Probability of Compound Events
o Dependent and Independent Events
o Union of two events o Intersection of two
events
II. Sequences and Series: • Number Patterns o Sequence o Series o Summation Notation
• Arithmetic Sequence
o Arithmetic means o Arithmetic series
• Geometric Sequence
o Geometric means o Geometric series
• Other types of
Sequences o Harmonic
sequence o Harmonic means o Fibonacci
sequence
• Remainder Theorem
• Factor Theorem
• Descartes’ Rule of Signs o Variation of Signs o Maximum number
of positive and negative zeros
• Zeros of Polynomial Function o Identifying
Possible Zeros o Rational Zero
Theorem
• Graph of Polynomial Functions o Leading
Coefficient test o End Behavior of
the graph o x – intercepts of
the graph o y – intercept of the
graph o Turning points
• Inscribed Angles o The Inscribed
Angle Theorem
o The Semicircle Theorem
o Inscribed Angles in the same arc Theorem
o Inscribed Quadrilateral Theorem
• Tangents and Secants o The Tangent Line
Theorem o The Tangent –
Diameter Theorem
o The Converse of a Tangent Line Theorem
o The Tangent Segments Theorem
• Angles formed by Secants and Tangents o The Intersecting
Secants – Exterior
o Finding the
missing coordinates of a diagram
• Coordinates in Proofs
o Proving Triangles in a coordinate plane
o Proving Quadrilaterals in a coordinate plane
• Equation of a Circle
o Center – Radius form or Standard Form
o Center at the Origin
o Graphing an Equation or Inequality
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 45
Theorem o The Tangent Point
– Secant Theorem o The Intersecting
Secants – Interior Theorem
• Power Theorems
o The Intersecting Segment of Chords Power Theorem
o The Segment of Secants Power Theorem
o The Tangent Secant Segments Power Theorem
• Circumference and Area of a Circle o The Pi Theorem o Circumference of
a Circle o Area of a Circle o Area of a Sector o Area of a
Segment
BASIC EDUCATION DEPARTMENT Holy Angel University
Angeles City
LES AND JHS MATHEMATICS DEPARTMENT
WE ARE ALL ABOUT STUDENTS. LAUS DEO SEMPER. 46
Prepared by:
JENNYLYN E. SAYSON Mathematics Coordinator, LES-JHS
Approved by:
MARIA TERESA N. PUNSALAN Assistant Principal, LES-JHS
Noted by:
LIZABELLE B. GAMBOA Principal, Basic Education Department