 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. ### 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  KooBits – The Easiest Way To Learn Grade 4 Math
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