Redistribution is where part of one addend is moved to another addend. It is sometimes known as the same sum rule.

The sum is the total when numbers are added together.

The whole is all the parts or everything, the total amount.

Using redistribution with addition of integers

Maths

In this unit pupils used the concept of same sum to simplify and solve addition problems. In the future unit pupils will solve calculations with missing addends and use the same difference rule to balance equations. They will explain how increasing or decreasing the minuend affects the difference.

In the prior unit pupils identified structures within stories using their knowledge of structures to create stories. They used their knowledge of additive structures to solve problems. In this unit pupils used the concept of same sum to simplify and solve addition problems

Use equivalence and compensation to simplify and solve addition calculations

Is the question mark on the bar model a part or whole?

Use the mental strategy of redistribution to calculate the sum. 34 + 29 = {{ }}

Use the mental strategy of redistribution to calculate the sum. 69 + 45 = {{ }}

Use the mental strategy of redistribution to calculate the sum. 20,999 + 7,573 = {{ }}

Which of these additions do you think was most likely to have been solved using redistribution?

Which inequality symbol should be placed between these two addition expressions? Use redistribution to help.
2,002 + 10,567 {{ }} 1,997 + 10,574

What is the missing part in this bar model?

Jun buys two packs of apples which cost £1.99 each. How much does he spend altogether? Jun spends £{{ }}

Sofia has £5 to spend. She spends £3.50 on a ball. How much change should she receive? 

Andeep thinks of a 2-digit number. He adds 10 before doubling it to finish with the number 44
What was his starting number?

This lesson will be removed by end of Summer Term 2025.

Using redistribution with addition of integers

Lesson outcome

This lesson will be removed by end of Summer Term 2025.