Curriculum / Philippine Curriculum / Grade 4

Grade 4 Math.

Aligned with DepEd

10textbooks

250lessons

59DepEd competencies

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The whole year, lesson by lesson.

Textbook 1Angles, Triangles, Quadrilaterals, and Perimeter

4 chapters · 25 lessons

Chapter 1

Right, Acute, and Obtuse Angles

Chapter 2

Measuring and Drawing Angles with a Protractor

Chapter 3

Properties and Classification of Triangles and Quadrilaterals

Chapter 4

Perimeter of Quadrilaterals and Composite Figures

Textbook 2Whole Numbers up to 1,000,000 and Estimation

4 chapters · 25 lessons

Chapter 1

Reading and Writing Numbers up to 1,000,000

Chapter 2

Place Value and Digit Value in Six-Digit Numbers

Chapter 3

Comparing and Rounding Numbers up to 1,000,000

Chapter 4

Estimating Sums and Differences of Large Numbers

Textbook 3Addition, Subtraction, and Multiplication up to 1,000,000

4 chapters · 25 lessons

Chapter 1

Addition with Sums up to 1,000,000

Chapter 2

Subtraction with Numbers Less Than 1,000,000

Chapter 3

Multiplying Large Numbers

Chapter 4

Estimating Products and Solving Large-Number Problems

Textbook 4Division, Estimation, and Multi-Step Operation Problems

4 chapters · 25 lessons

Chapter 1

Dividing 3- to 4-Digit Numbers by 1-Digit Numbers

Chapter 2

Dividing 2- to 3-Digit Numbers by 2-Digit Numbers

Chapter 3

Estimating Quotients Using Multiples of 10

Chapter 4

Multi-Step Problems with the Four Operations and Money

Textbook 5Number Sentences, MDAS, Unit Conversion, and Elapsed Time

4 chapters · 25 lessons

Chapter 1

Number Sentences and MDAS

Chapter 2

Converting Length, Mass, and Capacity Units

Chapter 3

Converting Time Measures

Chapter 4

Unit Conversion and Elapsed Time Problems

Textbook 6Fraction Types, Similar Fractions, and Mixed Numbers

4 chapters · 25 lessons

Chapter 1

Proper Fractions, Improper Fractions, and Mixed Numbers

Chapter 2

Rewriting Improper Fractions and Mixed Numbers

Chapter 3

Plotting Fractions on the Number Line

Chapter 4

Adding and Subtracting Similar Fractions and Mixed Numbers

Textbook 7Dissimilar Fractions, Equivalent Fractions, Factors, and Multiples

4 chapters · 25 lessons

Chapter 1

Representing and Comparing Dissimilar Fractions

Chapter 2

Ordering Dissimilar Fractions

Chapter 3

Equivalent Fractions, Factors, and Multiples

Chapter 4

Reducing Fractions to Simplest Form

Textbook 8Dissimilar Fraction Operations, Symmetry, and Reflection

4 chapters · 25 lessons

Chapter 1

Adding and Subtracting Dissimilar Fractions Using Models

Chapter 2

Adding and Subtracting Dissimilar Fractions and Mixed Numbers

Chapter 3

Multi-Step Fraction Problems

Chapter 4

Line Symmetry, Reflection, and Glide Reflection

Textbook 9Time-Based Data, Tables, Line Graphs, Patterns, and Number Sentences

4 chapters · 25 lessons

Chapter 1

Collecting and Presenting Time-Based Data

Chapter 2

Interpreting and Solving Problems Using Tables and Line Graphs

Chapter 3

Simple Patterns and Pattern Rules

Chapter 4

Number Sentences, Properties, and Equivalent Number Facts

Textbook 10Decimal Numbers, Decimal-Fraction Relationships, and Decimal Reasoning

4 chapters · 25 lessons

Chapter 1

Decimal Models and Decimal Reading to Hundredths

Chapter 2

Decimal Place Value and Digit Value

Chapter 3

Decimal-Fraction Conversion and Number-Line Placement

Chapter 4

Comparing, Ordering, and Rounding Decimals

Every coin is a 15-minute lesson.

Explained simply, shown with pictures, then put to the test. Stars are chapter reviews. The trophy is the final review.

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Every DepEd competency, covered.

The 59 competencies set for Grade 4 Math, and every one has lessons behind it.

Angles, Triangles, and Quadrilaterals

5 competencies

Illustrate different angles, right, acute, and obtuse, using models.
Measure and draw angles using a protractor.
Draw and state the properties of triangles and quadrilaterals.
Classify triangles and quadrilaterals according to sides and angles.
Differentiate different quadrilaterals.

Perimeter of Polygons and Composite Figures

2 competencies

Find the perimeter of quadrilaterals that are not squares or rectangles.
Find the perimeter of composite figures composed of triangles and quadrilaterals.

Whole Numbers to 1,000,000

6 competencies

Read and write numbers up to 1,000,000 in numerals and in words.
Determine the place value of a digit in a 6-digit number.
Determine the value of a digit.
Determine the digit of a number, given its place value.
Compare numbers up to 1,000,000 using =, <, and >.
Round numbers to the nearest hundred thousand.

Addition, Subtraction, and Estimation

3 competencies

Estimate the sum and difference of two 5- to 6-digit numbers by rounding the addends to the nearest large place value of the numbers.
Add numbers with sums up to 1,000,000, with and without regrouping.
Subtract numbers where both numbers are less than 1,000,000, with and without regrouping.

Multiplication and Division of Whole Numbers

5 competencies

Multiply two numbers with and without regrouping: 3- to 4-digit numbers by a 1-digit number, and 2- to 3-digit numbers by 2-digit numbers, with products up to 1,000,000.
Estimate the result of multiplying two numbers where the product is less than 1,000,000.
Divide two numbers with and without regrouping: 3- to 4-digit numbers by 1-digit numbers.
Divide two numbers with and without regrouping: 2- to 3-digit numbers by 2-digit numbers.
Estimate the quotient when dividing 3- to 4-digit dividends by 1- to 2-digit divisors by first estimating the dividends and divisors using multiples of 10.

Multi-Step Problems and Order of Operations

3 competencies

Solve multi-step problems involving one or more of the four operations with results of calculations up to 1,000,000, including problems involving money.
Represent situations involving one or more of the four operations using a number sentence.
Perform two or more different operations by applying the MDAS rules.

Measurement Conversions and Elapsed Time

3 competencies

Convert common units of measure from larger to smaller units, and vice versa: meter and centimeter; kilometer and meter; kilogram and gram; gram and milligram; liter and milliliter.
Convert time measures from smaller to larger units, and vice versa: seconds to minutes; minutes to hours; hours to days; days to weeks; weeks to months; months to years.
Solve problems involving conversion of units of length, mass, capacity, and time, including problems involving elapsed time in hours and minutes.

Fractions and Mixed Numbers

3 competencies

Identify proper fractions, improper fractions, and mixed numbers.
Rewrite improper fractions into mixed numbers, and vice versa.
Plot fractions, proper fractions, improper fractions, and mixed numbers, with denominators 2, 4, 5, and 10 on the number line.

Equivalent Fractions and Simplest Form

5 competencies

Generate equivalent fractions using models.
Determine equivalent fractions.
Identify the multiples of given numbers up to 100.
Find all the factors of a given number up to 100.
Reduce fractions to simplest form.

Comparing and Ordering Fractions

3 competencies

Represent dissimilar fractions, with denominators up to 10, using models.
Compare dissimilar fractions using the symbols =, >, and <.
Order dissimilar fractions from smallest to largest, and vice versa.

Adding and Subtracting Fractions

4 competencies

Add and subtract similar fractions: two proper fractions; two mixed numbers; a mixed number and a proper fraction; a whole number and a proper fraction; a whole number and a mixed number.
Add and subtract dissimilar fractions using models.
Add and subtract dissimilar fractions: two proper fractions; two mixed numbers; a mixed number and a proper fraction; a whole number and a proper fraction; a whole number and a mixed number.
Solve multi-step problems involving addition and/or subtraction of fractions.

Symmetry and Reflections

3 competencies

Identify symmetry with respect to a line.
Complete a figure that is symmetric with respect to a line.
Draw the image of an object after applying reflection with respect to a line, including glide reflection.

Data Tables and Line Graphs

4 competencies

Collect data with time element using appropriate sources.
Present data in a tabular form, or in a single line graph.
Interpret data presented in a tabular form, or in a single line graph.
Solve problems using data for at most two variables in a tabular form, or in a single line graph.

Patterns and Number Sentences

3 competencies

Describe the rule used to generate a given simple pattern.
Complete a number sentence to represent a property of operations, such as commutative property of addition.
Complete a number sentence to represent equivalent number facts.

Decimals to Hundredths

7 competencies

Represent decimal numbers using models and manipulatives to show the relationship to fractions.
Read and write decimal numbers with decimal parts to hundredths.
Determine the place value to hundredths of a digit in a given decimal number.
Convert decimal numbers to fractions, and fractions with denominators 10 or 100 to decimals.
Plot decimal numbers with tenth decimal part on the number line.
Compare and order decimal numbers with decimal parts to hundredths.
Round decimal numbers to the nearest whole number and to the nearest tenth.

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The whole year, lesson by lesson.

Textbook 1Angles, Triangles, Quadrilaterals, and Perimeter

4 chapters · 25 lessons

Chapter 1

Right, Acute, and Obtuse Angles

Chapter 2

Measuring and Drawing Angles with a Protractor

Chapter 3

Properties and Classification of Triangles and Quadrilaterals

Chapter 4

Perimeter of Quadrilaterals and Composite Figures

Textbook 2Whole Numbers up to 1,000,000 and Estimation

4 chapters · 25 lessons

Chapter 1

Reading and Writing Numbers up to 1,000,000

Chapter 2

Place Value and Digit Value in Six-Digit Numbers

Chapter 3

Comparing and Rounding Numbers up to 1,000,000

Chapter 4

Estimating Sums and Differences of Large Numbers

Textbook 3Addition, Subtraction, and Multiplication up to 1,000,000

4 chapters · 25 lessons

Chapter 1

Addition with Sums up to 1,000,000

Chapter 2

Subtraction with Numbers Less Than 1,000,000

Chapter 3

Multiplying Large Numbers

Chapter 4

Estimating Products and Solving Large-Number Problems

Textbook 4Division, Estimation, and Multi-Step Operation Problems

4 chapters · 25 lessons

Chapter 1

Dividing 3- to 4-Digit Numbers by 1-Digit Numbers

Chapter 2

Dividing 2- to 3-Digit Numbers by 2-Digit Numbers

Chapter 3

Estimating Quotients Using Multiples of 10

Chapter 4

Multi-Step Problems with the Four Operations and Money

Textbook 5Number Sentences, MDAS, Unit Conversion, and Elapsed Time

4 chapters · 25 lessons

Chapter 1

Number Sentences and MDAS

Chapter 2

Converting Length, Mass, and Capacity Units

Chapter 3

Converting Time Measures

Chapter 4

Unit Conversion and Elapsed Time Problems

Textbook 6Fraction Types, Similar Fractions, and Mixed Numbers

4 chapters · 25 lessons

Chapter 1

Proper Fractions, Improper Fractions, and Mixed Numbers

Chapter 2

Rewriting Improper Fractions and Mixed Numbers

Chapter 3

Plotting Fractions on the Number Line

Chapter 4

Adding and Subtracting Similar Fractions and Mixed Numbers

Textbook 7Dissimilar Fractions, Equivalent Fractions, Factors, and Multiples

4 chapters · 25 lessons

Chapter 1

Representing and Comparing Dissimilar Fractions

Chapter 2

Ordering Dissimilar Fractions

Chapter 3

Equivalent Fractions, Factors, and Multiples

Chapter 4

Reducing Fractions to Simplest Form

Textbook 8Dissimilar Fraction Operations, Symmetry, and Reflection

4 chapters · 25 lessons

Chapter 1

Adding and Subtracting Dissimilar Fractions Using Models

Chapter 2

Adding and Subtracting Dissimilar Fractions and Mixed Numbers

Chapter 3

Multi-Step Fraction Problems

Chapter 4

Line Symmetry, Reflection, and Glide Reflection

Textbook 9Time-Based Data, Tables, Line Graphs, Patterns, and Number Sentences

4 chapters · 25 lessons

Chapter 1

Collecting and Presenting Time-Based Data

Chapter 2

Interpreting and Solving Problems Using Tables and Line Graphs

Chapter 3

Simple Patterns and Pattern Rules

Chapter 4

Number Sentences, Properties, and Equivalent Number Facts

Textbook 10Decimal Numbers, Decimal-Fraction Relationships, and Decimal Reasoning

4 chapters · 25 lessons

Chapter 1

Decimal Models and Decimal Reading to Hundredths

Chapter 2

Decimal Place Value and Digit Value

Chapter 3

Decimal-Fraction Conversion and Number-Line Placement

Chapter 4

Comparing, Ordering, and Rounding Decimals

Every DepEd competency, covered.

The 59 competencies set for Grade 4 Math, and every one has lessons behind it.

Angles, Triangles, and Quadrilaterals

5 competencies

Illustrate different angles, right, acute, and obtuse, using models.
Measure and draw angles using a protractor.
Draw and state the properties of triangles and quadrilaterals.
Classify triangles and quadrilaterals according to sides and angles.
Differentiate different quadrilaterals.

Perimeter of Polygons and Composite Figures

2 competencies

Find the perimeter of quadrilaterals that are not squares or rectangles.
Find the perimeter of composite figures composed of triangles and quadrilaterals.

Whole Numbers to 1,000,000

6 competencies

Read and write numbers up to 1,000,000 in numerals and in words.
Determine the place value of a digit in a 6-digit number.
Determine the value of a digit.
Determine the digit of a number, given its place value.
Compare numbers up to 1,000,000 using =, <, and >.
Round numbers to the nearest hundred thousand.

Addition, Subtraction, and Estimation

3 competencies

Estimate the sum and difference of two 5- to 6-digit numbers by rounding the addends to the nearest large place value of the numbers.
Add numbers with sums up to 1,000,000, with and without regrouping.
Subtract numbers where both numbers are less than 1,000,000, with and without regrouping.

Multiplication and Division of Whole Numbers

5 competencies

Multiply two numbers with and without regrouping: 3- to 4-digit numbers by a 1-digit number, and 2- to 3-digit numbers by 2-digit numbers, with products up to 1,000,000.
Estimate the result of multiplying two numbers where the product is less than 1,000,000.
Divide two numbers with and without regrouping: 3- to 4-digit numbers by 1-digit numbers.
Divide two numbers with and without regrouping: 2- to 3-digit numbers by 2-digit numbers.
Estimate the quotient when dividing 3- to 4-digit dividends by 1- to 2-digit divisors by first estimating the dividends and divisors using multiples of 10.

Multi-Step Problems and Order of Operations

3 competencies

Solve multi-step problems involving one or more of the four operations with results of calculations up to 1,000,000, including problems involving money.
Represent situations involving one or more of the four operations using a number sentence.
Perform two or more different operations by applying the MDAS rules.

Measurement Conversions and Elapsed Time

3 competencies

Convert common units of measure from larger to smaller units, and vice versa: meter and centimeter; kilometer and meter; kilogram and gram; gram and milligram; liter and milliliter.
Convert time measures from smaller to larger units, and vice versa: seconds to minutes; minutes to hours; hours to days; days to weeks; weeks to months; months to years.
Solve problems involving conversion of units of length, mass, capacity, and time, including problems involving elapsed time in hours and minutes.

Fractions and Mixed Numbers

3 competencies

Identify proper fractions, improper fractions, and mixed numbers.
Rewrite improper fractions into mixed numbers, and vice versa.
Plot fractions, proper fractions, improper fractions, and mixed numbers, with denominators 2, 4, 5, and 10 on the number line.

Equivalent Fractions and Simplest Form

5 competencies

Generate equivalent fractions using models.
Determine equivalent fractions.
Identify the multiples of given numbers up to 100.
Find all the factors of a given number up to 100.
Reduce fractions to simplest form.

Comparing and Ordering Fractions

3 competencies

Represent dissimilar fractions, with denominators up to 10, using models.
Compare dissimilar fractions using the symbols =, >, and <.
Order dissimilar fractions from smallest to largest, and vice versa.

Adding and Subtracting Fractions

4 competencies

Add and subtract similar fractions: two proper fractions; two mixed numbers; a mixed number and a proper fraction; a whole number and a proper fraction; a whole number and a mixed number.
Add and subtract dissimilar fractions using models.
Add and subtract dissimilar fractions: two proper fractions; two mixed numbers; a mixed number and a proper fraction; a whole number and a proper fraction; a whole number and a mixed number.
Solve multi-step problems involving addition and/or subtraction of fractions.

Symmetry and Reflections

3 competencies

Identify symmetry with respect to a line.
Complete a figure that is symmetric with respect to a line.
Draw the image of an object after applying reflection with respect to a line, including glide reflection.

Data Tables and Line Graphs

4 competencies

Collect data with time element using appropriate sources.
Present data in a tabular form, or in a single line graph.
Interpret data presented in a tabular form, or in a single line graph.
Solve problems using data for at most two variables in a tabular form, or in a single line graph.

Patterns and Number Sentences

3 competencies

Describe the rule used to generate a given simple pattern.
Complete a number sentence to represent a property of operations, such as commutative property of addition.
Complete a number sentence to represent equivalent number facts.

Decimals to Hundredths

7 competencies

Represent decimal numbers using models and manipulatives to show the relationship to fractions.
Read and write decimal numbers with decimal parts to hundredths.
Determine the place value to hundredths of a digit in a given decimal number.
Convert decimal numbers to fractions, and fractions with denominators 10 or 100 to decimals.
Plot decimal numbers with tenth decimal part on the number line.
Compare and order decimal numbers with decimal parts to hundredths.
Round decimal numbers to the nearest whole number and to the nearest tenth.