New
New
Solving problems involving addition and subtraction
I can solve problems using addition and subtraction, including bridging through ten.
Lesson 10 of 10
New
New
- Year 3
Solving problems involving addition and subtraction
I can solve problems using addition and subtraction, including bridging through ten.
Lesson details
Key learning points
- Different subtraction calculations need different strategies.
- Different addition calculations need different strategies.
- Number facts help solve addition and subtraction problems.
Keywords
Minuend - The minuend is the number being subtracted from.
Subtrahend - A subtrahend is a number subtracted from another.
Difference - The difference is the result after subtracting one number from another.
Sum - The sum is the total when numbers are added together.
Partition - Partition means splitting a number into smaller parts.
Common misconception
Difference can only be found by subtracting the subtrahend from the minuend.
Subtract the subtrahend from the minuend when they are far apart. When close together, find the difference counting up from the subtrahend.
Promote the use of trial and improvement with the pupils. This is an excellent mathematical strategy that encourages pupils to 'have a go', to try out numbers, make mistakes and learn from these.
Teacher tip
Licence
This content is © Oak National Academy Limited (2026), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Prior knowledge starter quiz
6 Questions
Q1.What is 11 − 4?
What is 11 − 4?
Q2.Izzy uses a number line to find the answer to an equation. What has Izzy subtracted altogether?
Izzy uses a number line to find the answer to an equation. What has Izzy subtracted altogether?

Q3.Match the equations to the correct sum.
Match the equations to the correct sum.
Q4.Alex has these number cards. He adds together three different cards and gets a sum of 17. What three cards did he add together?
Alex has these number cards. He adds together three different cards and gets a sum of 17. What three cards did he add together?

3 + 6 + 7
3 + 4 + 6
5 + 6 + 7
Q5.Match the equations to the correct differences.
Match the equations to the correct differences.
Q6.What is the missing subtrahend?
What is the missing subtrahend?

Assessment exit quiz
6 Questions
Q1.Which two number cards have a difference of 3?
Which two number cards have a difference of 3?

4 and 6
4 and 8
6 and 8
Q2.Which two number cards have a sum of 13?
Which two number cards have a sum of 13?

4 and 8
7 and 8
6 and 8
Q3.Which two number cards have a difference of 5?
Which two number cards have a difference of 5?

5 and 9
5 and 8
5 and 9
Q4.Match the sums to the correct pair of number cards.
Match the sums to the correct pair of number cards.

Q5.Two numbers have a sum of 23. One of the numbers is 14. What is the other number?
Two numbers have a sum of 23. One of the numbers is 14. What is the other number?
Q6.Which two numbers have a sum of 10 and a difference of 2?
Which two numbers have a sum of 10 and a difference of 2?

5 and 3
3 and 7
7 and 5