Progression in Written Calculations
Addition
Subtraction
1. Use a number line to add two single-digit
numbers.
2. Use a number line to add a teen number to a
two-digit number, jumping in a ten then unit.
3. Use a number line to add two-digit numbers,
jumping in tens then units.
4. Use expanded column addition to add numbers
with up to three digits.
5. Use column addition to add numbers with up to
three digits (Y3)
6. Use column addition to add numbers with up to
four digits (Y4)
7. Use column addition to add numbers with
more than four digits (Y5)
1.Use a number line to subtract one-digit
numbers
2. Use a number line to subtract two-digit
numbers (taking away and finding the difference)
3. Use expanded column subtraction to subtract
numbers with up to three digits (no borrowing
needed)
4. Use expanded column subtraction to subtract
numbers with up to three digits (including
borrowing but not over 0)
5. Use expanded column subtraction to subtract
numbers with up to three digits (including
borrowing over 0)
6. Use column subtraction to subtract numbers
with up to three digits (Y3)
7. Use column subtraction to subtract numbers
with up to four digits (Y4)
8. Use column subtraction to subtract numbers
with more than four digits (Y5)
Multiplication
Division
1. Use repeated addition, arrays or mental
methods to work out U x U (Y1-2)
2. Use grid method to multiply teen x U
3. Use grid multiplication to multiply TU x U
4. Use short multiplication to multiply TU x U (Y3)
5. Use short multiplication to multiply HTU x U
(Y4)
6. Use short multiplication to multiply ThHTU x U
(Y5)
7. Use long multiplication to multiply TU x TU (Y5)
8. Use long multiplication to multiply HTU x TU
(Y5)
9. Use long multiplication to multiply ThHTU x TU
(Y5)
10. Use long multiplication to multiply U.tu by
whole numbers. (Y6)
1. Use repeated subtraction, arrays or mental
methods to work out TU ÷ U (Y1-3)
2. Use short division to divide TU ÷ U (Y4)
3. Use short division to divide HTU and ThHTU ÷ U
(Y5)
4. Use long division to divide HTU by TU (Y6)
5. Write remainders as fractions. (Y6)
6. Use long division to divide ThHTU ÷ TU (Y6)
Addition
1. Use a number line to add two single-digit numbers.
2. Use a number line to add a teen number to a two-digit number, jumping in a ten then unit.
3. Use a number line to add two-digit numbers, jumping in tens then units.
4. Use expanded column addition to add numbers with up to three digits.
5. Use column addition to add numbers with up to three digits (Y3)
6. Use column addition to add numbers with up to four digits (Y4)
8. Use column addition to add numbers with more than four digits (Y5)
Subtraction
1. Use a number line to subtract one-digit numbers
2. Use a number line to subtract two-digit numbers (taking away and finding the difference)
Taking away:
Finding the difference
3. Use expanded column subtraction to subtract numbers with up to three digits (no borrowing needed)
4. Use expanded column subtraction to subtract numbers with up to three digits (including borrowing but
not over 0)
5. Use expanded column subtraction to subtract numbers with up to three digits (including borrowing
over 0)
6. Use column subtraction to subtract numbers with up to three digits (Y3)
7. Use column subtraction to subtract numbers with up to four digits (Y4)
8. Use column subtraction to subtract numbers with more than four digits (Y5)
Multiplication
1. Use repeated addition, arrays or mental methods to work out U x U (Y1-2)
2. Use grid method to multiply teen x U
3. Use grid multiplication to multiply TU x U
4. Use short multiplication to multiply TU x U (Y3)
5. Use short multiplication to multiply HTU x U (Y4)
6. Use short multiplication to multiply ThHTU x U (Y5)
7. Use long multiplication to multiply TU x TU (Y5)
8. Use long multiplication to multiply HTU x TU (Y5)
9. Use long multiplication to multiply ThHTU x TU (Y5)
10. Use long multiplication to multiply U.tu by whole numbers. (Y6)
Division
1. Use repeated subtraction, arrays or mental methods to work out TU ÷ U (Y1-3)
2. Use short division to divide TU ÷ U (Y4)
3. Use short division to divide HTU and ThHTU ÷ U (Y5)
4. Use long division to divide HTU by TU (Y6)
or
5. Write remainders as fractions. (Y6)
= 28 12/15 = 28 4/5
6. Use long division to divide ThHTU ÷ TU (Y6)