Montessori Homeschooling

DepEd Math and Science Lessons for Grade 4, Grade 5, and Grade 6: Detailed List

Whether you're a homeschooling parent planning your lessons for the year, or a mom looking for which topics to review your child on so you can help him or her prepare for upcoming high school entrance exams, this quick list of science and math lessons for Grades 4, 5, and 6 -- based on the official DepEd curriculum -- will surely come in handy.

This post is divided into several sections:

• Math
  • List of Math lessons for Grade 4, by quarter
  • List of Math lessons for Grade 5, by quarter
  • List of Math lessons for Grade 6, by quarter
  • Compiled list of Math lessons for Grade 4 to Grade 6, by topic
• Science
  • List of Science lessons for Grade 4, by quarter
  • List of Science lessons for Grade 5, by quarter
  • List of Science lessons for Grade 6, by quarter
  • Compiled list of Science lessons for Grade 4 to Grade 6, by topic

In each of the Math and Science sections, we have a list of lessons organized by year level (Grade 4, Grade 5, or Grade 6) and then by quarter (or grading period, from 1st to 4th) based on DepEd’s own curriculum. If you’re looking to mirror the DepEd schedule in your own lesson planning, these are the lists that you will probably find most useful. 

We have also linked to our HuntersWoodsPH worksheets — both printable and answerable online — for those lessons that have them, so that you can have an easily accessible way to review each lesson as it is learned or reviewed.

In addition, we have also put together a compilation of all the Grade 4 to 6 Math and Science lessons, organized by topic. There are two compilations: one for Science and one for Math. So, for example, while addition and subtraction of fractions are taught during Grade 4, and multiplication and division of fractions are taught during Grade 5 in the DepEd timetable, they’re all listed under “Fractions” in the Math compilation. This gives you greater leeway when doing lessons — tackling “advanced” topics if you feel your child or student is ready for them, or spending more time on certain subject matters if you think a deeper or prolonged dive would be much more helpful.

Also, the compilations can give you just a really convenient quick look at what topics our students are expected to have learned by the close of sixth grade. To that end, we’ve included links to two printable (PDF) checklists reflecting the Math and Science compilations, which you can print and tick off as you go along. We’ve found it helpful to go over the list with our kids and identify (and be proud of!) those topics they’ve already learned. (They like putting the checks on the boxes themselves.) At the same time, they get an overview of what they still need to learn, which will hopefully help them prepare themselves and manage their time and energy accordingly.

All right.

Let’s get to it!

Math

Grade 4

First Quarter

Numbers and number sense

• Multiplication of whole numbers, including money
• Division of whole numbers, including money
• Rounding numbers to the nearest thousand and ten thousand
• Multi-step word problems
• Order of operations – MDAS 

Second Quarter

Factors and multiples

• Factors
• Multiples
• Prime vs. composite numbers
• Prime factorization
• Greatest common factor
• Least common multiple

Proper fractions, improper fractions and mixed numbers

• Changing improper fractions to mixed numbers and vice versa
• Changing fractions to their lowest forms
• Addition and subtraction of similar fractions (fractions with the same denominators)
• Subtraction of a fraction from a whole number
• Addition and subtraction of dissimilar fractions (fractions with the different denominators)

Decimals

• Concept of decimals
• Place value of decimals
• Converting decimals to fraction
• Converting fractions with denominators of 10 and 100 to decimals
• Rounding decimals to the nearest whole number and tenth

Third Quarter

Geometry

• Parallel, intersecting, and perpendicular lines
• Right, acute, and obtuse angles
• Types of triangles according to sides and angles
• Kinds of quadrilaterals: square, rectangle, parallelogram, trapezoid, and rhombus

Patterns and algebra

• Finding the missing term in a sequence of numbers
• Finding the missing number in an equation

Measurement

• Computing elapsed time
• Perimeter of triangles, squares, rectangles, parallelograms, and trapezoids
• Perimeter vs. area
• Converting sq. cm to sq. m and vice versa

Fourth Quarter

Measurement

• Area of squares and rectangles
• Area of irregular figures made up of squares and rectangles
• Area of triangles, parallelograms and trapezoids
• Volume of rectangular prisms

Statistics

• Tables
• Bar graphs

Grade 5

First Quarter

Numbers and number sense

• Rounding numbers to the nearest hundred thousand and million
• Divisibility rules for 2, 3, 4, 5, 6, 8, 9, 10, 11, and 12
• Order of operations – PMDAS
• GCF and LCM

Fractions

• Addition and subtraction of fractions
• Multiplication of fractions
• Division of fractions

Second Quarter

Decimals

• Place value up to ten thousandths
• Rounding decimals up to the nearest hundredth and thousandth
• Addition and subtraction of decimals
• Multiplication of decimals with up to two decimal places
• Division of decimals with up to two decimal places

Ratio and proportion

• Ratios
• Expressing ratios in simplest forms
• Finding the missing term in a pair of equivalent ratios
• Proportions

Third Quarter

Percent

• Percent in relation to fractions, decimals, and ratios
• Base, percentage, and rate

Geometry

• Names of polygons with 5 or more sides
• Regular and irregular polygons
• Congruent polygons
• Circles
• Solid figures: cube, prism, pyramid, cylinder, cone, and sphere

Patterns and algebra

• Finding the next term in a sequence
• Solving for the unknown in simple equations

Time

• 12-hour and 24-hour clocks
• Calculating time in the different world time zones in relation to the Philippines

Fourth Quarter

Circles

• Circumference of a circle
• Area of a circle

Volume

• Volume of a cube
• Volume of a rectangular prism
• Converting cu. cm to cu. m and vice versa
• Converting cu.cm to L and vice versa

Temperature

• Measuring and reading temperature in Celsius

Statistics and probability

• Tables
• Line graphs
• Experimental probability

Grade 6

First Quarter

Numbers and number sense

• Addition, subtraction, multiplication, and division of fractions
• Addition, subtraction, multiplication, and division of decimals
• Repeating, non-terminating decimals

Second Quarter

Numbers and number sense

• Converting ratio to fraction and vice versa
• Finding the missing term in a proportion
• Finding percentage, rate, and base
• Percent problems – discounts, commission, sales tax, simple interest

Exponents

• Exponent and base
• Order of operations – PEMDAS

Integers

• Concept of integers
• Compare and arrange integers
• Basic operations

Third Quarter

Solid figures

• Solid figures: cube, prism, pyramid, cylinder, cone, and sphere
• Solid figures vs. plane figures

Patterns and algebra

• Finding the nth term in a sequence
• Representing quantities in real-life situations using algebraic expressions and equations

Measurement

• Speed, distance, and time
• Area of composite figures formed by two or more shapes
• Surface area of cubes, prisms, pyramids, cylinders, cones, and spheres

Fourth Quarter

Measurement

• Volume of cylinders, pyramids, cones, and spheres
• Electric and water consumption – interpreting meters, solving problems

Statistics and probability

• Pie graphs
• Phrases expressing probability, e.g., 50% chance of rain, one in a million chance of winning
• Making predictions based on the results of experiments

COMPILATION

You can download a printable checklist of this Math lessons compilation here.

Numbers and Number Sense

• Multiplication of whole numbers
• Division of whole numbers
• Rounding numbers up to the nearest million
• Divisibility rules for 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12
• Order of operations – PEMDAS
• Multi-step word problems

Factors and Multiples

• Concept of factors
• Prime vs. composite numbers
• Prime factorization
• Greatest common factor
• Concept of multiples
• Least common multiple

Fractions

• Concept of fractions
• Simplifying fractions / changing fractions to their lowest forms
• Proper fractions vs. improper fractions vs. mixed numbers
• Addition of fractions (same and different denominators)
• Subtraction of fractions (same and different denominators)
• Multiplication of fractions
• Division of fractions

Decimals

• Concept of decimals
• Place value of decimals
• Rounding off decimals
• Converting decimals to fractions and vice versa
• Addition of decimals
• Subtraction of decimals
• Multiplication of decimals
• Division of decimals
• Repeating, non-terminating decimals

Ratio and Proportion

Ratio

• Concept of ratio
• Expressing ratios in simplest forms
• Converting ratio to fraction and vice versa
• Finding the missing term in a pair of equivalent ratios

Proportion

• Concept of proportion
• Finding the missing term in a proportion

Percent

• Concept of percent
• Percent in relation to fractions, decimals, and ratios
• Finding percentage, rate, and base
• Percent problems, including word problems involving discounts, commission, sales tax, simple interest

Integers

• Concept of integers
• Compare and arrange integers
• Basic operations: addition, subtraction, multiplication, and division of integers

Exponents

• Exponent and base

Geometry

Lines

• Parallel lines
• Perpendicular lines
• Intersecting lines

Angles

• Right, acute, and obtuse angles

Polygons

• Types of triangles according to sides and angles
• Kinds of quadrilaterals: square, rectangle, parallelogram, trapezoid, and rhombus
• Names of polygons with 5 or more sides
• Regular and irregular polygons
• Congruent polygons

Perimeter

• Perimeter of a triangle
• Perimeter of a square
• Perimeter of a rectangle
• Perimeter of a parallelogram
• Perimeter of a trapezoid
• Circumference of a circle

Area

• Area of a square
• Area of a rectangle
• Area of a triangle
• Area of a parallelogram
• Area of a trapezoid
• Area of a circle
• Area of composite figures formed by two or more shapes
• Converting sq. cm to sq. m and vice versa

Solid figures

• Solid figures vs. plane figures
• Solid figures: cube, prism, pyramid, cylinder, cone, and sphere

Volume

• Volume of a cube
• Volume of a rectangular prism
• Volume of a cylinder
• Volume of a pyramid
• Volume of a cone
• Volume of a sphere
• Converting cu. cm to cu. m and vice versa
• Converting cu. cm to L and vice versa

Surface area

• Surface area of a cube
• Surface area of a prism
• Surface area of a pyramid
• Surface area of a cylinder
• Surface area of a cone
• Surface area of a sphere

Measurement

• Speed
• Distance
• Temperature
• Time
  • Computing elapsed time
  • 12-hour and 24-hour clocks
  • Calculating time in the different world time zones in relation to the Philippines
• Electric and water consumption

Statistics

• Tables
• Bar graphs
• Line graphs
• Pie graphs

Algebra

• Solving for the unknown in simple equations
• Representing quantities in real-life situations using algebraic expressions and equations

Number patterns

• Finding the next term in a sequence
• Finding the missing term in a sequence
• Finding the nth term in a sequence

Probability

• Phrases expressing probability, e.g., 50% chance of rain, one in a million chance of winning
• Making predictions based on the results of experiments

Science

Grade 4

First Quarter

Properties

• Materials that can absorb water, float, sink, undergo decay
• Effects of decaying materials on health and safety
• Proper waste disposal based on properties of materials

Changes that materials undergo

• Changes when bent, pressed, hammered, or cut
• Changes when exposed to certain temperatures or mixed with certain materials

Second Quarter

Humans

• Major organs of the body
• Caring for the major organs
• Diseases that affect the major organs of the human body

Animals

• Body parts that make animals adapt to life on land or in water
• Body movements of animals in their habitat

Plants

• Specialized structures of terrestrial and aquatic plants

Life cycles

• Life cycles of different organisms

Ecosystems

• Types of beneficial and harmful interactions among living things

Third Quarter

Force

• Force that can change the shape, size or movement of objects
• Force exerted by magnets

Light, heat, and sound

• How light, heat, and sound travel
• Properties and characteristics of light, heat, and sound
• How to protect against excessive exposure to light, heat, and sound

Fourth Quarter

Soil

• Types of soil

Water

• Importance of water
• Sources of water
• Water cycle

Weather

• Components of weather
• Weather instruments
• Weather chart
• Safety precautions during different weather conditions

Sun

• The sun as the main source of heat and light on Earth
• Changes in the position and length of shadows during the day
• Role of the sun in the water cycle

Grade 5

First Quarter

Properties

• Classify materials as useful or harmful

Changes that materials undergo

• Changes due to oxygen and heat
• Recycle, reduce, reuse, recover and repair in waste management

Second Quarter

Human reproductive system

• Parts and functions
• Changes that occur during puberty
• Menstrual cycle
• Health and hygiene

Animal reproduction

• Different modes of reproduction in animals such as butterflies, mosquitoes, frogs, cats and dogs

Plant reproduction

• Reproductive parts in plants
• Modes of reproduction in flowering and nonflowering plants such as moss, fern, mongo and others

Ecosystems

• Estuaries
• Intertidal zones

Third Quarter

Motion

• Measuring time and distance using standard units

Light, sound, heat, electricity

• Why some materials are good conductors of heat and electricity
• How black and colored objects affect the ability to absorb heat

Electricity and magnetism

• Simple DC circuit
• Infer that electricity can be used to produce magnets

Fourth Quarter

Weathering and soil erosion

• How rocks turn into soil
• Effects of soil erosion

Weather

• Changes in the weather before, during and after a typhoon
• Individual emergency kit

Moon

• Phases of the moon

Stars

• Constellations, star patterns at different times of the year

Grade 6

First Quarter

Mixtures

• Homogeneous and heterogeneous mixtures
• Techniques in separating mixtures, including decantation, evaporation, filtering, sieving and using a magnet

Second Quarter

Humans

• Human body systems – musculo-skeletal, integumentary, digestive, circulatory, excretory, respiratory, and nervous systems
• How the systems work together

Animals

• Vertebrates vs. invertebrates

Plants

• How non-flowering plants reproduce – spore-bearing and cone-bearing plants

Ecosystems

• Tropical rainforests
• Coral reefs
• Mangrove swamps
• Interaction among living and nonliving things in the above ecosystems

Third Quarter

Force, motion, and energy

• Friction
• Gravity
• Energy transformation – how sound, heat, light, and electricity can be transformed
• Simple machines

Fourth Quarter

Forces that change the earth’s surface

• Earthquakes
• Volcanic eruptions

Weather patterns in the Philippines

• Different seasons in the Philippines

Motion of the Earth

• Rotation and revolution

Planets

• Characteristics of the planets in the solar system
• Sizes and relative distances from the Sun

COMPILATION

You can download a printable checklist of this Science lessons compilation here.

Physical Science

Materials

• Materials that absorb water
• Materials that float or sink
• Materials that undergo decay
• Effect of decaying materials on health
• Proper waste disposal based on properties of materials
• Useful and harmful materials

Changes

• Changes when bent, pressed, hammered, or cut
• Changes when exposed to certain conditions or mixed with certain materials
• Changes due to oxygen
• Changes due to heat
• 5Rs in waste management: recycle, reduce, reuse, recover and repair

Mixtures

• Homogeneous and heterogeneous mixtures
• Techniques in separating mixtures, including decantation, evaporation, filtering, sieving and using a magnet

Force

• Forces that can change the shape, size, or movement of objects
• Magnets
• Friction
• Gravity

Motion

• Measuring time, speed, and distance using standard units

Work and machines

• Simple machines

Energy

• Light, heat, sound, electricity
  • How light, heat, and sound travel
  • Properties and characteristics of light, heat, and sound
  • How to protect against excessive exposure to light, heat, and sound
  • How black and colored objects affect the ability to absorb heat
  • Why some materials are good conductors of heat and electricity
• Electricity and magnetism
  • Simple DC circuit
  • Infer that electricity can be used to produce magnets
• Energy transformation
  • How sound, heat, light, and electricity can be transformed

Life Science

Humans

• Major organs
  • Major organs of the body
  • Caring for the major organs
  • Diseases that affect the major organs of the body
• Human reproductive system
  • Parts and functions
  • Changes that occur during puberty
  • Menstrual cycle
  • Health and hygiene
• Other human body systems
  • Musculo-skeletal system
  • Integumentary system
  • Digestive system
  • Circulatory system
  • Excretory system
  • Respiratory system
  • Nervous system
  • How the systems work together

Animals

• Body parts that let animals adapt to life on land or in water
• Body movements of animals
• Animal reproduction – different modes of reproduction in animals such as butterflies, mosquitoes, frogs, cats and dogs
• Vertebrates vs. invertebrates

Plants

• Plant structure
  • Specialized structures of terrestrial and aquatic plants
• Plant reproduction
  • Reproductive parts in plants
  • Modes of reproduction in flowering and nonflowering plants – including moss, fern, and mongo
  • How non-flowering plants reproduce – spore-bearing and cone-bearing plants

Life cycles

• Life cycles of different organisms

Ecosystems

• Interactions among living things
  • Types of beneficial interactions
  • Types of harmful interactions
• Ecosystems
  • Estuaries
  • Intertidal zones
  • Tropical rainforests
  • Coral reefs
  • Mangrove swamps
  • Interaction among living and nonliving things in different ecosystems

Earth Science

Soil

• Types of soil
• Weathering and soil erosion
  • How rocks turn into soil
  • Effects of soil erosion

Water

• Importance of water
• Sources of water
• The water cycle

Weather

• Components of weather
• Weather instruments
• Weather chart
• Weather patterns and seasons in the Philippines
• Safety precautions during different weather conditions
• Changes in the weather before, during and after a typhoon
• Preparing an individual emergency kit

Earth

• Forces that change the Earth’s surface
  • Earthquakes
  • Volcanic eruptions
• Movement of the Earth
  • Rotation
  • Revolution

Sun

• The sun as the main source of heat and light on Earth
• Changes in the position and length of shadows during the day
• Role of the sun in the water cycle

Moon

• Phases of the moon

Stars

• Constellations or star patterns at different times of the year

Planets of the solar system

• Characteristics of the planets in the solar system
• The planets’ size and relative distance from the Sun