Grade 4 Math Curriculum

Understanding the Grade 4 Math Syllabus & How You Can Support Your Child

Mastering Grade 4 is critical because this will ensure a smooth-sailing journey ahead for the rest of primary school.

To ease the transition into upper primary, KooBits’ Grade 4 topics are aligned with Philippine DepEd Math Curriculum.

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Number Through Billions

  1. Find the tens/hundreds/thousands to be added to a number to obtain a given value
  2. Find the difference between two numbers rounded to the nearest tens/hundreds/thousands
  3. Count by ten thousands
  4. Count by hundred thousands
  5. Count by millions to 10 000 000
  6. Write numbers to 10 000 000 in numerals
  7. Find the value of each digit using a place value chart
  8. Find the expanded form of a 6-digit number
  9. Identify the place value and value of any digit
  10. Write numbers to 10 million in expanded form
  11. Compare numbers to 1 000 000 using greater than and less than
  12. Compare numbers up to 10 000 000
  13. Complete number patterns involving numbers to 10 000 000
  14. Write numbers to 1 000 000 in numerals
  15. Write numbers to 1 000 000 in words
  16. Write numbers to 10 000 000 in words

Valuing Fractions

  1. Add two fractions to get mixed numbers
  2. Add three fractions to get mixed numbers
  3. Subtract fractions from whole numbers
  4. Find the fraction of a part of objects
  5. Find the fractional part of a set
  6. Find a fractional part of a number
  7. Use part-whole models to solve addition word problems involving fractions
  8. Use part-whole models to solve subtraction word problems involving fractions
  9. Use part-whole models to solve word problems involving fraction of a set or part of a set
  10. Compare two fractions by changing to common denominators
  11. Interpret fractions greater than one whole as improper fractions
  12. Compare two fractions using fraction discs
  13. Add fractions (with denominators not exceeding 12)
  14. Subtract fractions (with denominators not exceeding 12)
  15. Compare and order fractions
  16. Express improper fractions as mixed numbers in simplest form
  17. Multiply proper fractions
  18. Multiply improper fractions by proper fractions
  19. Multiply an improper fraction by an improper fraction
  20. Multiply mixed numbers by whole numbers
  21. Divide unit fractions by whole numbers
  22. Divide fractions by whole numbers
  23. Divide a proper fraction by a proper fraction
 

Appreciating Geometry

  1. Find area of a triangle
  2. Identify the base and corresponding height of a triangle
  3. Identify rectangles and their properties
  4. Identify squares and their properties
  5. Use properties of squares and rectangles to find unknown angles
  6. Use properties of squares and rectangles to find the side lengths of figures
  7. Find angle in clockwise/anti-clockwise movement around a compass
  8. Quarter, Half, Three-quarterand Complete Turns
  9. Use a protractor to measure angles in degrees
  10. Show directions using 8-point compass
  11. Describe movement using ‘clockwise’ and ‘anticlockwise’
  12. Identify lines of symmetry of a figure
  13. Completing symmetric figures on square grids
  14. Identify cube, cuboid, cone, cylinder, prism and pyramid
  15. Identify nets of cube, cuboid, prism and pyramid
  16. Identify the solid which can be formed by a given net

Statistics and Probability

  1. Solve problem using data given in a table format
  2. Solve problem using data given in a line graph
  3. Identify the relationship between two variables in a line graph
  4. Read and interpret line graphs

High - ability - Understanding Multiplication and Division of Whole Numbers

  1. Find the mass of a container given total mass with different quantity of items
  2. Find the age of a person given the age difference and repeated-quantity relationship between the persons some years later
  3. Given events of operations & final value
 

High-ability - Whole Numbers (Money)

  1. Given the amount/quantity for one person & relationship between two persons, find the total amount/quantity
  2. Given the monthly amount/quantity, find amount/quantity for multiple months rounded off to the nearest tens/hundreds/thousands
  3. Given total amount/quantity, repeated quantity & a difference relationship among the persons, find the amount/quantity for one person
  4. Given final amount & two sets of transfer amount, find initial amount
  5. Given unitary value. find the multiples of the number rounded off to the nearest tens/hundreds/thousands
  6. Given earning and spending amounts per month and number of years of saving, find total savings amount
  7. Given unit price for different items, total sales & sales of one item, find the quantity sold
  8. Given total amount & repeated quantity relationship, find cost of item
  9. Given total amount & difference in unit price, find cost of item
  10. Given transaction amount & repeated quantity relationship, find initial amount
  11. Given repeated quantity relationship & total amount, find difference in unit price
 

Understanding Multiplication and Division of Whole Numbers

  1. Multiply with regrouping in thousands, hundreds, tens and ones using a place value chart
  2. Multiply by a 1-digit number without a place value chart (up to 4-digit)
  3. Multiply a 2-digit number by tens
  4. Multiply a 2-digit number by a 2-digit number
  5. Multiply a 3-digit number by a 2-digit number
  6. Divide a 4-digit number by a 1-digit number without a remainder
  7. Divide a 4-digit number by a 1-digit number with a remainder
  8. Quotient and Remainder
  9. Multiply by tens
  10. Multiply by hundreds
  11. Multiply by thousands
  12. Divide by tens
  13. Divide by hundreds
  14. Divide by thousands
  15. Use rounding to estimate quotients
  16. Calculate, involving only multiplication and division
  17. Calculate and apply the order of operations
  18. Use models to solve multi-step word problems

Valuing Decimals and Money - Placing Value

  1. Express fractions in hundredths as decimals
  2. Find equivalent tenths and hundredths
  3. Express tenths and hundredths as decimals
  4. Express fractions as two-place decimals
  5. Express ones, tenths and hundredths as decimals
  6. Express mixed numbers as two-place decimals
  7. Express improper fractions as two-place decimals
  8. Write decimals to hundredths in expanded form
  9. Represent thousandths
  10. Find equivalent hundredths and thousandths
  11. Write hundredths and thousandths in decimal notation
  12. Express fractions as three-place decimals
  13. Write decimals to thousandths in expanded form
  14. Find 0.1 more than or 0.1 less than
  15. Find 0.01 more than or 0.01 less than
  16. Find missing numbers in a pattern
  17. Compare decimals to hundredths
  18. Order decimals to hundredths
  19. Rounding decimals to the nearest whole number
  20. Rounding decimals to 1 decimal place
  21. Express fractions as decimals
  22. Express improper fractions as decimals
  23. Express mixed numbers as decimals
  24. Express decimals as fractions
  25. Express decimals as mixed numbers
  26. Estimate sums by rounding decimals to the nearest whole number
  27. Estimate differences by rounding decimals to the nearest whole number
  28. Estimate products by rounding decimals to the nearest whole number
  29. Estimate quotients by rounding decimals to a whole number
  30. Estimate by rounding decimals to the nearest tenth
  31. Use models to solve word problems involving decimals
  32. Measurement in decimals (1 decimal place)
  33. Represent decimals on a number line (1 decimal place)
  34. Measurement in decimals (2 decimal places)
  35. Represent decimals on a number line (2 decimal places)
  36. Represent decimals on a number line (3 decimal places)
  37. Rounding decimals to 2 decimal places

High-ability - Number Through Billions

  1. Given total quantity/amount & relationship between two persons/items, find the quantity/amount for one person/item
  2. Given the volume of other items, find final volume of an item rounded off to the nearest tens/hundreds/thousands
  3. Find the mystery number given the events of operations and final value
  4. Given total value, repeated quantity relationship, find value of one item
  5. Given repeated quantity relationship & one absolute quantity, find total quantity
  6. Given total quantity & one absolute quantity, find quantity of an item
  7. Given difference & repeated quantity relationship, find product of two numbers

High-ability - Valuing Decimals and Money

  1. Given total value in decimal & relationship between two numbers, find one number
  2. Given total amount & unit price of one item, find cost of the other item
  3. Given repeated quantity relationship & amount for one party, find amount for the other party
  4. Given total amount & repeated quantity among parties, find amount for one party

High-ability - Measurement -Time

  1. Given two sets of mixed time, find sum
  2. Given two sets of mixed time, find difference
  3. Conversion between 12-hour clock and 24-hour clock
  4. Given duration of journey & starting time, find arrival time
  5. Given delay/advance time, find actual time
  6. Given starting and ending time, find duration of journey
  7. Given duration of journey & arrival time, find starting time
  8. Given starting time & duration of two events, find ending time
  9. Given starting and ending time, involving over-night timing, find duration of travel

High-ability - Fractions

  1. Given final fractional amount & transfer fractional amount, find initial amount
  2. Given initial fractional amount & transfer fractional amount, find final amount
  3. Given fractional amounts, find total amount
  4. Given final fractional amount & transfer fractional amounts, find initial amount
  5. Given final fractional amount & transfer fractional amount, find initial amount. Involving improper fraction
  6. Given initial quantity & transfer amount, find final fraction
  7. Given total quantity & a fraction, find quantity of item
  8. Given fractional quantity & absolute difference, find quantity of an item
  9. Given total quantity, quantity of a group & fractional quantity of sub-groups, find absolute quantity of a sub-group

Discovering the Number Theory

  1. Find the sum of common factors for two given numbers
  2. Find the product of a given number and the first common multiple of two given numbers
  3. Find the sum of the multiples of a given number
  4. Find the product of the sum of the common factors & the first common multiple of two given numbers
  5. Given time intervals of two events and time of previous concurrence
  6. Given unit cost of two items, find total cost for the first common multiple

Valuing Decimals and Money - Four Operations

  1. Add decimals with one decimal place without regrouping
  2. Add decimals with one decimal place with regrouping in tenths
  3. Add decimals with one decimal place with regrouping in ones and tenths
  4. Add decimals with two decimal places without regrouping
  5. Add decimals with two decimal places with regrouping in hundredths
  6. Add decimals with two decimal places with regrouping in tenths and hundredths
  7. Subtract decimals with one decimal place without regrouping
  8. Subtract decimals with one decimal place with regrouping in ones and tenths
  9. Subtract decimals with one decimal place from whole numbers
  10. Subtract decimals with two decimal places with regrouping in tenths and hundredths
  11. Subtract decimals with placeholder zeroes
  12. Multiply one-place decimals by a 1-digit whole number
  13. Multiply hundredths by 1-digit whole number
  14. Multiply two-place decimals by 1-digit whole number
  15. Divide tenths by 1-digit whole number without regrouping
  16. Divide hundredths by 1-digit whole number without regrouping
  17. Divide one-place decimals by 1-digit whole number with regrouping
  18. Dividing numbers and correcting answers to 1 decimal place
  19. Dividing numbers and correcting answers to 2 decimal places
  20. Solve word problems involving addition of decimals
  21. Solve word problems involving subtraction of decimals
  22. Solve word problems involving multiplication of decimals
  23. Solve word problems involving division of decimals
  24. Multiply decimals by tens
  25. Multiply decimals by hundreds or thousands
  26. Divide decimals by tens
  27. Divide decimals by hundreds or thousands
  28. Find an average in a set of data
 

Practicing Measurements

  1. Find the perimeter of a rectangle using a formula
  2. Find one side of a rectangle given its perimeter and the other side
  3. Find one side of a square given its perimeter
  4. Find one side of a rectangle given its area and the other side
  5. Find one side and the perimeter of a square given its area
  6. Find the perimeter of a composite figure by adding the lengths of its sides
  7. Find the area of a composite figure by adding the area of its parts
  8. Use subtraction to find the area of a composite figure
  9. Find the area of a path around a rectangle
  10. Find the area and perimeter of parts of a figure
  11. Calculate the circumference of a circle
  12. Calculate the area of a circle
  13. Find volume of a cuboid by computing the product of its length, breadth and height
  14. Convert metres and centimetres to centimetres
  15. Convert centimetres to metres and centimetres
  16. Convert kilometres and metres to metres
  17. Convert metres to kilometres and metres
  18. Convert kilograms and grams to grams
  19. Convert grams to kilograms and grams
  20. Convert litres and millilitres to millilitres
  21. Convert millilitres to litres and millilitres
  22. Given time express in minutes and seconds, convert it to seconds
  23. Measurement of time in seconds
  24. 24-hour clock
  25. Solve word problems involving time in 24-hour clock

High-ability - Decimals

  1. Given production rate, find output quantity
  2. Given total mass & quantity of items, find unit mass
  3. Find sum of two numbers expressed in different notations
  4. Given values in an operation, find the number of tenths/hundredths/thousandths
  5. Given unit length, item quantity & required length, find initial length
  6. Given unit mass, quantity difference & total mass, find quantity of one item

High-ability - Measurement - Area and Perimeter

  1. Given perimeter & length, find difference in length and breadth
  2. Given dimension & quantity of items, find area of each item
  3. Given perimeter & repeated quantity relationship between length and breadth, find area
  4. Given perimeter & difference between length and breadth, find area
  5. Given area, breadth & unit cost, find total cost of covering perimeter
  6. Given area of a square, find perimeter
  7. Given dimension of rectangles, find shaded area
  8. Find perimeter of a composite figure
  9. Find area of a composite figure
 
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