Numbers can be added in any order | Maths | Quizalize & Oak National Academy

Starter quiz

Which equation is represented by the tens frame?
- 4 + 3 + 1 = 8
- 4 + 2 + 2 = 8
- 5 + 3 = 8
- 5 + 2 + 1 = 8 ✓
What is the sum of the numbers in the bar model?
- 8
- 9
- 10 ✓
- 11
What addend is missing from the bar model?
- '1' ✓
Which three dice have a sum of 11?
What is the sum of 5 and 5 and 8?
- '18' ✓
Alex chooses 3 of the number cards and adds them together. Which 3 cards did he choose if he gets a sum of 14?
- 4 and 5 and 6
- 3 and 5 and 6 ✓
- 3 and 4 and 6
- 3 and 4 and 5

Which two calculations have the same sum as 4 + 3 + 1?
- 1 + 3 + 4 ✓
- 4 + 2 + 3
- 1 + 2 + 4
- 4 + 1 + 3 ✓
Alex has these 3 number cards. What is the most sensible order to add them to find the sum?
- 3 + 1 + 8
- 1 + 3 + 8
- 8 + 3 + 1 ✓
What is the missing addend in this equation?
- '3' ✓
What number is missing from the equation?
- 10
- 12
- 14 ✓
- 16
What addend is missing from the equation?
- '6' ✓
What is the sum of the number cards?
- '20' ✓

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The order we add the addends does not change the sum.
Addition is commutative.
Commutative means that we can change the order of the addends and the sum stays the same.

Pupils perceive the equals sign = as 'where the answer goes' and struggle with writing equations.

Show pupils that the equals sign represents balance and that equations are equal on both sides of the sign. Balance scales can be used.

Addend - A number added to another.
Commutative - Addition is commutative. This means the order of the addends can be changed without changing the calculation or sum.
Equation - An equation is used to show that one number or calculation is equal to another.
Sum - The sum is the total after numbers are added together.