Curriculum / Philippine Curriculum / Grade 5

Grade 5 Math.

Aligned with DepEd

10textbooks

250lessons

56DepEd competencies

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The whole year, lesson by lesson.

Textbook 1Time Systems, World Time Zones, and Time Problems

4 chapters · 25 lessons

Chapter 1

Understanding 12-Hour and 24-Hour Time

Chapter 2

Converting 12-Hour and 24-Hour Time

Chapter 3

Solving Problems with 12-Hour and 24-Hour Time

Chapter 4

World Time Zones and Philippine Time

Textbook 2GMDAS and Multiplication of Fractions

4 chapters · 25 lessons

Chapter 1

GMDAS with Three or More Operations

Chapter 2

Multiplying Fractions Using Models

Chapter 3

Multiplying a Fraction by a Fraction

Chapter 4

Multi-Step Fraction Multiplication Problems

Textbook 3Area of Parallelograms, Triangles, and Trapezoids

4 chapters · 25 lessons

Chapter 1

Height in Different Orientations

Chapter 2

Area of Parallelograms

Chapter 3

Area of Triangles and Trapezoids

Chapter 4

Estimating Areas with Grids

Textbook 4Division of Fractions and Decimal Place Value

4 chapters · 25 lessons

Chapter 1

Dividing Fractions Using Models

Chapter 2

Dividing a Fraction by a Fraction

Chapter 3

Multi-Step Fraction Division Problems

Chapter 4

Decimal Place Value to Thousandths

Textbook 5Decimal Conversion, Comparison, Rounding, Addition, and Subtraction

4 chapters · 25 lessons

Chapter 1

Converting Terminating Decimals and Fractions

Chapter 2

Comparing and Ordering Decimals to Thousandths

Chapter 3

Rounding, Adding, and Subtracting Decimals

Chapter 4

Multi-Step Decimal Addition and Subtraction Problems

Textbook 6Divisibility Rules, Prime Numbers, and Composite Numbers

4 chapters · 25 lessons

Chapter 1

Divisibility Rules for 2, 5, and 10

Chapter 2

Divisibility Rules for 3, 6, and 9

Chapter 3

Divisibility Rules for 4, 8, 11, and 12

Chapter 4

Prime, Composite, and the Sieve of Eratosthenes

Textbook 7Bivariate Data, Double Graphs, and Theoretical Probability

4 chapters · 25 lessons

Chapter 1

Collecting Bivariate Data and Choosing Graphs

Chapter 2

Constructing Double Bar Graphs and Double Line Graphs

Chapter 3

Interpreting, Concluding, and Inferring from Double Graphs

Chapter 4

Graph-Based Problems and Theoretical Probability

Textbook 8Decimal Multiplication, Decimal Division, and GMDAS with Fractions and Decimals

4 chapters · 25 lessons

Chapter 1

Estimating and Multiplying Decimals

Chapter 2

Multi-Step Decimal Multiplication Problems

Chapter 3

Estimating and Dividing Decimals

Chapter 4

Decimal Division Problems and GMDAS with Fractions and Decimals

Textbook 9Solid Figures, Nets, Surface Area, Cubes, and Rectangular Prisms

4 chapters · 25 lessons

Chapter 1

Solid Figures and Plane Figures

Chapter 2

Prisms, Pyramids, Vertices, Faces, Edges, and Nets

Chapter 3

Modeling Solid Figures and Surface Area

Chapter 4

Surface Area Problems, Cubes, Rectangular Prisms, and Volume Estimation

Textbook 10Rotation About a Point and Geometric Visualization

4 chapters · 25 lessons

Chapter 1

What Rotation Means

Chapter 2

Clockwise and Counterclockwise Rotations

Chapter 3

Drawing Rotated Images on Grids

Chapter 4

Rotation in Patterns, Designs, and Real Objects

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.

See how a lesson works

Every DepEd competency, covered.

The 56 competencies set for Grade 5 Math, and every one has lessons behind it.

Time and Time Zones

5 competencies

Describe a 12- and 24-hour clock system.
Convert 12-hour time to 24-hour time, and vice versa.
Solve problems involving 12- and 24-hour time.
Compare the time in different world time zones to the time in the Philippines using a world time zone map.
Solve problems on comparing the time in different world time zones to the time in the Philippines.

Order of Operations

2 competencies

Perform three or more different operations by applying the GMDAS rules.
Perform three or more different operations with fractions and decimals by applying the GMDAS rules.

Multiplying Fractions

3 competencies

Multiply fractions using models.
Multiply a fraction by a fraction.
Solve multi-step problems involving multiplication of fractions that may or may not also involve addition or subtraction of fractions.

Area of Triangles and Quadrilaterals

4 competencies

Identify the height of a parallelogram, triangle, and trapezoid, in different orientations.
Find the area of a parallelogram, in square centimeters or square meters, using formulas.
Find the area of a triangle and trapezoid, in square centimeters or square meters, using formulas.
Estimate the areas of triangles and quadrilaterals, including parallelogram, rhombus, and trapezoid, using grids.

Dividing Fractions

3 competencies

Divide fractions using models.
Divide a fraction by a fraction.
Solve multi-step problems involving division of fractions that may or may not involve the other operations with fractions.

Decimal Place Value and Comparing Decimals

7 competencies

Determine the place value to thousandths of a digit in a given decimal number.
Determine the value of a digit.
Determine the digit of a number, given its place value.
Read and write decimal numbers with decimal parts to thousandths.
Convert terminating decimals to fractions, and vice versa.
Compare and order decimal numbers with decimal parts to thousandths.
Round decimal numbers to the nearest thousandths.

Adding and Subtracting Decimals

2 competencies

Add and subtract decimal numbers with decimal parts of up to 3 decimal places.
Solve multi-step problems involving addition and/or subtraction of decimals, including problems involving money.

Divisibility, Factors, and Prime Numbers

4 competencies

Use divisibility rules for 2, 5, and 10 to find common factors of numbers.
Use divisibility rules for 3, 6, and 9 to find common factors of numbers.
Use divisibility rules for 4, 8, 11, and 12 to find common factors of numbers.
Distinguish prime numbers from composite numbers using the Sieve of Eratosthenes.

Data and Double Graphs

6 competencies

Collect bivariate data from interview, questionnaire, and other appropriate sources.
Identify the appropriate graph, bar graph or line graph, to represent a given set of data.
Construct double bar graphs and double line graphs.
Interpret data presented in a double bar graph or a double line graph.
Draw conclusions or make inferences based on data presented in a double bar graph or a double line graph.
Solve problems using data presented in a double bar graph or a double line graph.

Probability of Simple Events

2 competencies

Describe probability as a measure of the chance of an event occurring.
Calculate the theoretical probability of a simple event by listing all possible outcomes.

Multiplying Decimals

3 competencies

Estimate each of two decimal numbers to the nearest whole number to estimate their product.
Multiply decimal numbers with decimal parts of up to 2 decimal places.
Solve multi-step problems involving multiplication of decimals that may or may not also involve addition or subtraction of decimals, including problems involving money.

Dividing Decimals

4 competencies

Estimate the quotient when dividing two decimal numbers by estimating the dividend and divisor to the nearest whole number.
Divide 1- to 2-digit whole numbers resulting in a terminating decimal quotient.
Divide a decimal of up to 2 decimal places by a 1- to 2-digit whole number, resulting in a terminating decimal quotient of up to 3 decimal places.
Solve multi-step problems involving division of decimals that may or may not also involve the other operations with decimals, including problems involving money.

Solid Figures and Nets

5 competencies

Illustrate different solid figures using concrete and pictorial models.
Relate plane figures to solid figures using concrete and pictorial models.
Describe and differentiate prisms and pyramids using their vertices, faces, and/or edges.
Illustrate and describe solid figures and their nets.
Make models of solid figures.

Surface Area of Solid Figures

2 competencies

Illustrate and find the surface area of solid figures.
Solve problems involving the surface area of solid figures.

Cubes, Rectangular Prisms, and Volume

2 competencies

Describe and distinguish cubes and rectangular prisms.
Estimate the volume of a cube and of a rectangular prism using non-standard units of measurement.

Rotations

2 competencies

Draw the image of an object after applying rotation about a point given an angle of rotation.
Draw the image of an object after applying rotation about a point given an angle of rotation, clockwise or counterclockwise.

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The whole year, lesson by lesson.

Textbook 1Time Systems, World Time Zones, and Time Problems

4 chapters · 25 lessons

Chapter 1

Understanding 12-Hour and 24-Hour Time

Chapter 2

Converting 12-Hour and 24-Hour Time

Chapter 3

Solving Problems with 12-Hour and 24-Hour Time

Chapter 4

World Time Zones and Philippine Time

Textbook 2GMDAS and Multiplication of Fractions

4 chapters · 25 lessons

Chapter 1

GMDAS with Three or More Operations

Chapter 2

Multiplying Fractions Using Models

Chapter 3

Multiplying a Fraction by a Fraction

Chapter 4

Multi-Step Fraction Multiplication Problems

Textbook 3Area of Parallelograms, Triangles, and Trapezoids

4 chapters · 25 lessons

Chapter 1

Height in Different Orientations

Chapter 2

Area of Parallelograms

Chapter 3

Area of Triangles and Trapezoids

Chapter 4

Estimating Areas with Grids

Textbook 4Division of Fractions and Decimal Place Value

4 chapters · 25 lessons

Chapter 1

Dividing Fractions Using Models

Chapter 2

Dividing a Fraction by a Fraction

Chapter 3

Multi-Step Fraction Division Problems

Chapter 4

Decimal Place Value to Thousandths

Textbook 5Decimal Conversion, Comparison, Rounding, Addition, and Subtraction

4 chapters · 25 lessons

Chapter 1

Converting Terminating Decimals and Fractions

Chapter 2

Comparing and Ordering Decimals to Thousandths

Chapter 3

Rounding, Adding, and Subtracting Decimals

Chapter 4

Multi-Step Decimal Addition and Subtraction Problems

Textbook 6Divisibility Rules, Prime Numbers, and Composite Numbers

4 chapters · 25 lessons

Chapter 1

Divisibility Rules for 2, 5, and 10

Chapter 2

Divisibility Rules for 3, 6, and 9

Chapter 3

Divisibility Rules for 4, 8, 11, and 12

Chapter 4

Prime, Composite, and the Sieve of Eratosthenes

Textbook 7Bivariate Data, Double Graphs, and Theoretical Probability

4 chapters · 25 lessons

Chapter 1

Collecting Bivariate Data and Choosing Graphs

Chapter 2

Constructing Double Bar Graphs and Double Line Graphs

Chapter 3

Interpreting, Concluding, and Inferring from Double Graphs

Chapter 4

Graph-Based Problems and Theoretical Probability

Textbook 8Decimal Multiplication, Decimal Division, and GMDAS with Fractions and Decimals

4 chapters · 25 lessons

Chapter 1

Estimating and Multiplying Decimals

Chapter 2

Multi-Step Decimal Multiplication Problems

Chapter 3

Estimating and Dividing Decimals

Chapter 4

Decimal Division Problems and GMDAS with Fractions and Decimals

Textbook 9Solid Figures, Nets, Surface Area, Cubes, and Rectangular Prisms

4 chapters · 25 lessons

Chapter 1

Solid Figures and Plane Figures

Chapter 2

Prisms, Pyramids, Vertices, Faces, Edges, and Nets

Chapter 3

Modeling Solid Figures and Surface Area

Chapter 4

Surface Area Problems, Cubes, Rectangular Prisms, and Volume Estimation

Textbook 10Rotation About a Point and Geometric Visualization

4 chapters · 25 lessons

Chapter 1

What Rotation Means

Chapter 2

Clockwise and Counterclockwise Rotations

Chapter 3

Drawing Rotated Images on Grids

Chapter 4

Rotation in Patterns, Designs, and Real Objects

Every DepEd competency, covered.

The 56 competencies set for Grade 5 Math, and every one has lessons behind it.

Time and Time Zones

5 competencies

Describe a 12- and 24-hour clock system.
Convert 12-hour time to 24-hour time, and vice versa.
Solve problems involving 12- and 24-hour time.
Compare the time in different world time zones to the time in the Philippines using a world time zone map.
Solve problems on comparing the time in different world time zones to the time in the Philippines.

Order of Operations

2 competencies

Perform three or more different operations by applying the GMDAS rules.
Perform three or more different operations with fractions and decimals by applying the GMDAS rules.

Multiplying Fractions

3 competencies

Multiply fractions using models.
Multiply a fraction by a fraction.
Solve multi-step problems involving multiplication of fractions that may or may not also involve addition or subtraction of fractions.

Area of Triangles and Quadrilaterals

4 competencies

Identify the height of a parallelogram, triangle, and trapezoid, in different orientations.
Find the area of a parallelogram, in square centimeters or square meters, using formulas.
Find the area of a triangle and trapezoid, in square centimeters or square meters, using formulas.
Estimate the areas of triangles and quadrilaterals, including parallelogram, rhombus, and trapezoid, using grids.

Dividing Fractions

3 competencies

Divide fractions using models.
Divide a fraction by a fraction.
Solve multi-step problems involving division of fractions that may or may not involve the other operations with fractions.

Decimal Place Value and Comparing Decimals

7 competencies

Determine the place value to thousandths of a digit in a given decimal number.
Determine the value of a digit.
Determine the digit of a number, given its place value.
Read and write decimal numbers with decimal parts to thousandths.
Convert terminating decimals to fractions, and vice versa.
Compare and order decimal numbers with decimal parts to thousandths.
Round decimal numbers to the nearest thousandths.

Adding and Subtracting Decimals

2 competencies

Add and subtract decimal numbers with decimal parts of up to 3 decimal places.
Solve multi-step problems involving addition and/or subtraction of decimals, including problems involving money.

Divisibility, Factors, and Prime Numbers

4 competencies

Use divisibility rules for 2, 5, and 10 to find common factors of numbers.
Use divisibility rules for 3, 6, and 9 to find common factors of numbers.
Use divisibility rules for 4, 8, 11, and 12 to find common factors of numbers.
Distinguish prime numbers from composite numbers using the Sieve of Eratosthenes.

Data and Double Graphs

6 competencies

Collect bivariate data from interview, questionnaire, and other appropriate sources.
Identify the appropriate graph, bar graph or line graph, to represent a given set of data.
Construct double bar graphs and double line graphs.
Interpret data presented in a double bar graph or a double line graph.
Draw conclusions or make inferences based on data presented in a double bar graph or a double line graph.
Solve problems using data presented in a double bar graph or a double line graph.

Probability of Simple Events

2 competencies

Describe probability as a measure of the chance of an event occurring.
Calculate the theoretical probability of a simple event by listing all possible outcomes.

Multiplying Decimals

3 competencies

Estimate each of two decimal numbers to the nearest whole number to estimate their product.
Multiply decimal numbers with decimal parts of up to 2 decimal places.
Solve multi-step problems involving multiplication of decimals that may or may not also involve addition or subtraction of decimals, including problems involving money.

Dividing Decimals

4 competencies

Estimate the quotient when dividing two decimal numbers by estimating the dividend and divisor to the nearest whole number.
Divide 1- to 2-digit whole numbers resulting in a terminating decimal quotient.
Divide a decimal of up to 2 decimal places by a 1- to 2-digit whole number, resulting in a terminating decimal quotient of up to 3 decimal places.
Solve multi-step problems involving division of decimals that may or may not also involve the other operations with decimals, including problems involving money.

Solid Figures and Nets

5 competencies

Illustrate different solid figures using concrete and pictorial models.
Relate plane figures to solid figures using concrete and pictorial models.
Describe and differentiate prisms and pyramids using their vertices, faces, and/or edges.
Illustrate and describe solid figures and their nets.
Make models of solid figures.

Surface Area of Solid Figures

2 competencies

Illustrate and find the surface area of solid figures.
Solve problems involving the surface area of solid figures.

Cubes, Rectangular Prisms, and Volume

2 competencies

Describe and distinguish cubes and rectangular prisms.
Estimate the volume of a cube and of a rectangular prism using non-standard units of measurement.

Rotations

2 competencies

Draw the image of an object after applying rotation about a point given an angle of rotation.
Draw the image of an object after applying rotation about a point given an angle of rotation, clockwise or counterclockwise.