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4th grade Division

Division syllabus for 4th grade

Here's an overview of the division topics covered in the 4th grade curriculum.

Division as Equal Sharing: Students build on their understanding of division as equal sharing. They learn to divide a quantity into equal groups. For example, if there are 12 apples to be shared equally among 3 people, they learn to divide 12 by 3 to find that each person gets 4 apples.
Division Facts: Students continue to develop their fluency with division facts, such as dividing by 2, 5, and 10. They reinforce their understanding of the relationship between multiplication and division, using known multiplication facts to solve division problems. For example, if they know that 5 × 6 = 30, they can use this fact to find that 30 ÷ 5 = 6 or 30 ÷ 6 = 5.
Division with Remainders: Students learn about division with remainders. They understand that sometimes the number being divided is not exactly divisible by the divisor, resulting in a remainder. For example, when dividing 17 by 4, they find that 4 can go into 17 four times with a remainder of 1 (17 ÷ 4 = 4 R 1).
Mental Division Strategies: Students develop mental strategies to solve division problems efficiently. These strategies include dividing by multiples of 10, dividing by powers of 10, and using known division facts to derive related division problems. For example, if they know that 8 ÷ 2 = 4, they can solve 80 ÷ 2 by dividing the tens digit, resulting in 40.
Division with Decimals: Towards the end of 4th grade, students may be introduced to dividing decimal numbers. They learn to interpret decimal division problems and understand the concept of placing the decimal point correctly in the quotient. For example, when dividing 3.6 by 0.2, they recognize that both numbers need to be multiplied by 10 to make the divisor a whole number, resulting in 36 ÷ 2 = 18.

Throughout 4th grade, students practice solving division problems using various strategies, including mental methods, long division, and short division. They also solve real-life word problems that involve division, helping them understand the practical application of division in everyday situations.

It's important to note that specific curriculum standards may vary depending on the country and educational system, but the topics mentioned above provide a general overview of division concepts typically covered in 4th grade.

Division topics by sub-category

4th grade → Division → Mental method

Divide 1-digit numbers

Use mental calculation to divide single-digit numbers by single-digit numbers e.g. 9 ÷ 3

Divide by 5

Use mental calculations to divide numbers up to 250 by 5

Divide by 10

Use mental calculations to divide numbers up to 10,000 by 10

Divide by 100

Use mental calculations to divide numbers up to 20,000 by 100

Divide by 1000

Use mental calculations to divide numbers up to 200,000 by 1000

Divide 2-digits by 1-digit

Use mental calculations to divide double-digit numbers less than 50 by single-digit numbers

4th grade → Division → Formal short method

Formal division: 1-digit into 2-digits

Find the missing number for these 1-digit into 2-digits formal short divisions

Formal division: 1-digit into 3-digits

Find the missing number for these 3-digits divided by 1-digit formal short divisions

Formal division: 1-digit into 4-digits

Find the missing number for these 4-digits divided by 1-digit formal short divisions

Formal division: 2-digits into 2-digits

Find the missing number for these 2-digits into 2-digits formal short divisions

Formal division: 2-digits into 3-digits

Find the missing number for these 3-digits divided by 2-digits formal short divisions

Formal division: 2-digits into 4-digits

Find the missing number for these 4-digits divided by 2-digits formal short divisions

4th grade → Division → Formal short with remainder

1-digit into 2-digits: remainder as r

Choose the correct remainder using r for these 2-digits divided by 1-digit formal short divisions

1-digit into 2-digits: fraction remainder

Choose the correct remainder expressed as a fraction for these formal short divisions

1-digit into 3-digits: remainder as r

Choose the correct remainder using r (eg Remainder 3 as r3) for these formal short divisions

1-digit into 3-digits: fraction remainder

Choose the correct remainder expressed as a fraction for these formal short divisions

1-digit into 4-digits: remainder as r

Choose the correct remainder using R (eg Remainder 5 as r5) for these formal short divisions

1-digit into 4-digits: fraction remainder

Choose the correct remainder expressed as a fraction for these formal short divisions

4th grade → Division → Reverse times tables

Reverse times tables: one-step problems

Find the answer for these one-step reverse times table division problems

Match to addition

Which division and addition operations give the same answer?

Match to subtraction

Which divisions and subtractions give the same answer

Match to multiplication

Which division and multiplication operations give the same answer?

4th grade → Division → Number machine

Add then divide

Work out the answer when you add first and then divide

Subtract then divide

Work out the answer when you subtract first and then divide

Divide then add

Work out the answer when you divide first and then add

Divide then subtract

Work out the answer when you divide first and then subtract

Counting * Comparing numbers * Pattern * Place value * Addition * Subtraction * Add + Subtract * Multiplication * Division * Multiply + Divide * Fractions * Decimals * Percentages * Measurements * Shapes * Position + Direction * Statistics * Algebra *