## Grade 4 Math Curriculum

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

- Find the tens/hundreds/thousands to be added to a number to obtain a given value
- Find the difference between two numbers rounded to the nearest tens/hundreds/thousands
- Count by ten thousands
- Count by hundred thousands
- Count by millions to 10 000 000
- Write numbers to 10 000 000 in numerals
- Find the value of each digit using a place value chart
- Find the expanded form of a 6-digit number
- Identify the place value and value of any digit
- Write numbers to 10 million in expanded form
- Compare numbers to 1 000 000 using greater than and less than
- Compare numbers up to 10 000 000
- Complete number patterns involving numbers to 10 000 000
- Write numbers to 1 000 000 in numerals
- Write numbers to 1 000 000 in words
- Write numbers to 10 000 000 in words

### Valuing Fractions

- Add two fractions to get mixed numbers
- Add three fractions to get mixed numbers
- 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
- Compare two fractions by changing to common denominators
- Interpret fractions greater than one whole as improper fractions
- Compare two fractions using fraction discs
- Add fractions (with denominators not exceeding 12)
- Subtract fractions (with denominators not exceeding 12)
- Compare and order fractions
- Express improper fractions as mixed numbers in simplest form
- Multiply proper fractions
- Multiply improper fractions by proper fractions
- Multiply an improper fraction by an improper fraction
- Multiply mixed numbers by whole numbers
- Divide unit fractions by whole numbers
- Divide fractions by whole numbers
- Divide a proper fraction by a proper fraction

### Appreciating Geometry

- Find area of a triangle
- Identify the base and corresponding height of a triangle
- Identify rectangles and their properties
- Identify squares 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
- Find angle in clockwise/anti-clockwise movement around a compass
- Quarter, Half, Three-quarterand Complete Turns
- Use a protractor to measure angles in degrees
- Show directions using 8-point compass
- Describe movement using ‘clockwise’ and ‘anticlockwise’
- Identify lines of symmetry of a figure
- Completing symmetric figures on square grids
- Identify cube, cuboid, cone, cylinder, prism and pyramid
- Identify nets of cube, cuboid, prism and pyramid
- Identify the solid which can be formed by a given net

### Statistics and Probability

- 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
- Read and interpret line graphs

### High - ability - Understanding Multiplication and Division of Whole Numbers

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

### High-ability - Whole Numbers (Money)

- 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

### Understanding Multiplication and Division 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
- Quotient and Remainder
- Multiply by tens
- Multiply by hundreds
- Multiply by thousands
- Divide by tens
- Divide by hundreds
- Divide by thousands
- Use rounding to estimate quotients
- Calculate, involving only multiplication and division
- Calculate and apply the order of operations
- Use models to solve multi-step word problems

### Valuing Decimals and Money - Placing Value

- 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
- 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
- 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
- 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
- Measurement in decimals (1 decimal place)
- Represent decimals on a number line (1 decimal place)
- Measurement in decimals (2 decimal places)
- Represent decimals on a number line (2 decimal places)
- Represent decimals on a number line (3 decimal places)
- Rounding decimals to 2 decimal places

### High-ability - Number Through Billions

- 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 - Valuing Decimals and 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 - Measurement -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

### 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

### Discovering the Number Theory

- 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

### Valuing Decimals and Money - Four Operations

- 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
- 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 addition of decimals
- Solve word problems involving subtraction of decimals
- Solve word problems involving multiplication of decimals
- Solve word problems involving division of decimals
- Multiply decimals by tens
- Multiply decimals by hundreds or thousands
- Divide decimals by tens
- Divide decimals by hundreds or thousands
- Find an average in a set of data

### Practicing Measurements

- 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
- Calculate the circumference of a circle
- Calculate the area of a circle
- Find volume of a cuboid by computing the product of its length, breadth and height
- Convert metres and centimetres to centimetres
- Convert centimetres to metres and centimetres
- Convert kilometres and metres to metres
- Convert metres to kilometres and metres
- Convert kilograms and grams to grams
- Convert grams to kilograms and grams
- Convert litres and millilitres to millilitres
- Convert millilitres to litres and millilitres
- Given time express in minutes and seconds, convert it to seconds
- Measurement of time in seconds
- 24-hour clock
- Solve word problems involving time in 24-hour clock

### 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 - Measurement - 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

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