## Grade 4 Math Curriculum

Understanding the Grade 4 Math Syllabus & How You Can Support Your G4 Child

**Grade 4 marks the start of higher level math.**

To ease the transition into higher grade levels, KooBits’ Grade 4 topics are aligned with **Singapore’s syllabus**, a globally-recognised curriculum.

We have **100,000+ G1-G6 questions** to help your child keep up with higher level math. Start your trial today and give your child a fun and effective place to practice math ↓

### Numbers To 100 000

- Count to 100 000
- Write numbers to 100 000 in numerals
- Write numbers to 100 000 in words
- Count on to one hundred thousand
- Find the value of each digit of a 5-digit number using a place value chart
- Find the expanded form of a 5-digit number
- Compare numbers within 100 000 using greater than and less than
- Order numbers within 100 000
- Number patterns within 100 000
- Round a 2-digit number up or down to the nearest ten
- Rounding a 3-digit number to the nearest ten
- Rounding a 3-digit number to the nearest hundred
- Rounding a 4-digit number to the nearest hundred
- Estimate and checking sums by rounding numbers
- Estimate and checking differences by rounding numbers
- Find the tens/hundreds /thousands to be added to obtain a given value
- Find the difference between two numbers rounded to the nearest tens/hundreds/thousands

### Factors & Multiples

- Determine if a 1-digit number is a factor of a given number within 100
- Find common factors of two whole numbers
- Find multiples of a number
- Determine if a number is a multiple of given 1-digit number
- Find the first twelve multiples of a given 1-digit number
- Find common multiples of two given 1-digit numbers

### Four Operations of Whole Numbers

- Multiply with regrouping in thousands, hundreds, tens and ones using a place value chart
- Multiply by a 1-digit number without a place value chart (up to 4-digit)
- Multiply a 2-digit number by tens
- Multiply a 2-digit number by a 2-digit number
- Multiply a 3-digit number by a 2-digit number
- Divide a 4-digit number by a 1-digit number without a remainder
- Divide a 4-digit number by a 1-digit number with a remainder
- Use models to solve multi-step word problems

### Fractions

- Interpret fractions greater than one whole as mixed numbers
- Add a whole number and a fraction to get a mixed number
- Express mixed numbers in simplest form
- Interpret fractions greater than one whole as improper fractions
- Express improper fractions in simplest form
- Express mixed numbers as improper fractions in simplest form
- Express improper fractions as mixed numbers in simplest form
- Compare two fractions using fraction discs
- Compare two fractions by changing to common denominators
- Compare and order fractions
- Add fractions (with denominators not exceeding 12)
- Add two fractions to get mixed numbers
- Add three fractions to get mixed numbers
- Subtract fractions (with denominators not exceeding 12)
- Subtract fractions from whole numbers
- Find the fraction of a part of objects
- Find the fractional part of a set
- Find a fractional part of a number
- Use part-whole models to solve addition word problems involving fractions
- Use part-whole models to solve subtraction word problems involving fractions
- Use part-whole models to solve word problems involving fraction of a set or part of a set

### Angles

- Naming angles
- Use a protractor to measure angles in degrees
- Quarter, Half, Three-quarterand Complete Turns
- Show directions using 8-point compass
- Describe movement using ‘clockwise’ and ‘anticlockwise’
- Find angle in clockwise/anti-clockwise movement around a compass

### Squares And Rectangles

- Identify squares and their properties
- Identify rectangles and their properties
- Use properties of squares and rectangles to find unknown angles
- Use properties of squares and rectangles to find the side lengths of figures

### Decimals

- Express fractions in tenths as decimals
- Find equivalent ones and tenths
- Write mixed numbers in decimal notation
- Write improper fractions in decimal notation
- Write decimals to tenths in expanded form
- Measurement in decimals (1 decimal place)
- Represent decimals on a number line (1 decimal place)
- Express fractions in hundredths as decimals
- Find equivalent tenths and hundredths
- Express tenths and hundredths as decimals
- Express fractions as two-place decimals
- Express ones, tenths and hundredths as decimals
- Express mixed numbers as two-place decimals
- Express improper fractions as two-place decimals
- Write decimals to hundredths in expanded form
- Measurement in decimals (2 decimal places)
- Represent decimals on a number line (2 decimal places)
- Represent thousandths
- Find equivalent hundredths and thousandths
- Write hundredths and thousandths in decimal notation
- Express fractions as three-place decimals
- Write decimals to thousandths in expanded form
- Represent decimals on a number line (3 decimal places)
- Find 0.1 more than or 0.1 less than
- Find 0.01 more than or 0.01 less than
- Find missing numbers in a pattern
- Compare decimals to hundredths
- Order decimals to hundredths
- Rounding decimals to the nearest whole number
- Rounding decimals to 1 decimal place
- Rounding decimals to 2 decimal places
- Express fractions as decimals
- Express improper fractions as decimals
- Express mixed numbers as decimals
- Express decimals as fractions
- Express decimals as mixed numbers
- Estimate sums by rounding decimals to the nearest whole number
- Estimate differences by rounding decimals to the nearest whole number
- Estimate products by rounding decimals to the nearest whole number
- Estimate quotients by rounding decimals to a whole number
- Estimate by rounding decimals to the nearest tenth
- Use models to solve word problems involving decimals

### Four Operations of Decimals

- Add decimals with one decimal place without regrouping
- Add decimals with one decimal place with regrouping in tenths
- Add decimals with one decimal place with regrouping in ones and tenths
- Add decimals with two decimal places without regrouping
- Add decimals with two decimal places with regrouping in hundredths
- Add decimals with two decimal places with regrouping in tenths and hundredths
- Subtract decimals with one decimal place without regrouping
- Subtract decimals with one decimal place with regrouping in ones and tenths
- Subtract decimals with one decimal place from whole numbers
- Subtract decimals with two decimal places with regrouping in tenths and hundredths
- Subtract decimals with placeholder zeroes
- Solve word problems involving addition of decimals
- Solve word problems involving subtraction of decimals
- Multiply one-place decimals by a 1-digit whole number
- Multiply hundredths by 1-digit whole number
- Multiply two-place decimals by 1-digit whole number
- Divide tenths by 1-digit whole number without regrouping
- Divide hundredths by 1-digit whole number without regrouping
- Divide one-place decimals by 1-digit whole number with regrouping
- Dividing numbers and correcting answers to 1 decimal place
- Dividing numbers and correcting answers to 2 decimal places
- Solve word problems involving multiplication of decimals
- Solve word problems involving division of decimals

### Symmetry

- Identify symmetric figures
- Identify symmetrical & asymmetrical figures
- Identify lines of symmetry of a figure
- Completing symmetric figures on square grids

### Area And Perimeter

- Find the perimeter of a rectangle using a formula
- Find one side of a rectangle given its perimeter and the other side
- Find one side of a square given its perimeter
- Find one side of a rectangle given its area and the other side
- Find one side and the perimeter of a square given its area
- Find the perimeter of a composite figure by adding the lengths of its sides
- Find the area of a composite figure by adding the area of its parts
- Use subtraction to find the area of a composite figure
- Find the area of a path around a rectangle
- Find the area and perimeter of parts of a figure

### Tables And Line Graphs

- Complete a table from given data
- Read and interpret tables
- Read and interpret line graphs
- Solve problem using data given in a table format
- Solve problem using data given in a line graph
- Identify the relationship between two variables in a line graph

### Time

- Measurement of time in seconds
- Given time express in minutes and seconds, convert it to seconds
- 24-hour clock
- Solve word problems involving time in 24-hour clock

### High-ability - Whole Numbers

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

### High-ability - Whole Numbers

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

### High-ability - Factors & Multiples

- Find the sum of common factors for two given numbers
- Find the product of a given number and the first common multiple of two given numbers
- Find the sum of the multiples of a given number
- Find the product of the sum of the common factors & the first common multiple of two given numbers
- Given time intervals of two events and time of previous concurrence
- Given unit cost of two items, find total cost for the first common multiple

### High-ability - Fractions

- Given final fractional amount & transfer fractional amount, find initial amount
- Given initial fractional amount & transfer fractional amount, find final amount
- Given fractional amounts, find total amount
- Given final fractional amount & transfer fractional amounts, find initial amount
- Given final fractional amount & transfer fractional amount, find initial amount. Involving improper fraction
- Given initial quantity & transfer amount, find final fraction
- Given total quantity & a fraction, find quantity of item
- Given fractional quantity & absolute difference, find quantity of an item
- Given total quantity, quantity of a group & fractional quantity of sub-groups, find absolute quantity of a sub-group

### High-ability - Decimals

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

### High-ability - Decimals (Money)

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

### High-ability - Area and Perimeter

- Given perimeter & length, find difference in length and breadth
- Given dimension & quantity of items, find area of each item
- Given perimeter & repeated quantity relationship between length and breadth, find area
- Given perimeter & difference between length and breadth, find area
- Given area, breadth & unit cost, find total cost of covering perimeter
- Given area of a square, find perimeter
- Given dimension of rectangles, find shaded area
- Find perimeter of a composite figure
- Find area of a composite figure

### High-ability - Time

- Given two sets of mixed time, find sum
- Given two sets of mixed time, find difference
- Conversion between 12-hour clock and 24-hour clock
- Given duration of journey & starting time, find arrival time
- Given delay/advance time, find actual time
- Given starting and ending time, find duration of journey
- Given duration of journey & arrival time, find starting time
- Given starting time & duration of two events, find ending time
- Given starting and ending time, involving over-night timing, find duration of travel

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